From bd50b6459efb30787b3e523810e636d7d589cc26 Mon Sep 17 00:00:00 2001 From: Erik Schnetter Date: Sun, 3 Apr 2011 15:18:42 -0400 Subject: Update auto-generated code as generated by the current version of Kranc --- ML_BSSN_MP_O8/src/Boundaries.c | 1809 -------------------- ML_BSSN_MP_O8/src/Differencing.h | 54 +- ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_Minkowski.c | 192 --- ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHS1.c | 1600 ----------------- ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHS2.c | 1365 --------------- .../src/ML_BSSN_MP_O8_RHSStaticBoundary.c | 228 --- ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_boundary.c | 228 --- ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_constraints1.c | 972 ----------- ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_constraints2.c | 522 ------ .../src/ML_BSSN_MP_O8_convertFromADMBase.c | 220 --- .../src/ML_BSSN_MP_O8_convertFromADMBaseGamma.c | 769 --------- ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBase.c | 191 --- .../ML_BSSN_MP_O8_convertToADMBaseDtLapseShift.c | 260 --- ...SN_MP_O8_convertToADMBaseDtLapseShiftBoundary.c | 166 -- ...L_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift.c | 151 -- ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_enforce.c | 168 -- ML_BSSN_MP_O8/src/RegisterMoL.c | 41 - ML_BSSN_MP_O8/src/RegisterSymmetries.c | 189 -- ML_BSSN_MP_O8/src/Startup.c | 10 - ML_BSSN_MP_O8/src/make.code.defn | 2 +- 20 files changed, 28 insertions(+), 9109 deletions(-) delete mode 100644 ML_BSSN_MP_O8/src/Boundaries.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_Minkowski.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHS1.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHS2.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHSStaticBoundary.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_boundary.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_constraints1.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_constraints2.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertFromADMBase.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertFromADMBaseGamma.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBase.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBaseDtLapseShift.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift.c delete mode 100644 ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_enforce.c delete mode 100644 ML_BSSN_MP_O8/src/RegisterMoL.c delete mode 100644 ML_BSSN_MP_O8/src/RegisterSymmetries.c delete mode 100644 ML_BSSN_MP_O8/src/Startup.c (limited to 'ML_BSSN_MP_O8/src') diff --git a/ML_BSSN_MP_O8/src/Boundaries.c b/ML_BSSN_MP_O8/src/Boundaries.c deleted file mode 100644 index 5a06b71..0000000 --- a/ML_BSSN_MP_O8/src/Boundaries.c +++ /dev/null @@ -1,1809 +0,0 @@ -/* File produced by Kranc */ - -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "cctk_Faces.h" -#include "util_Table.h" -#include "Symmetry.h" - - -/* the boundary treatment is split into 3 steps: */ -/* 1. excision */ -/* 2. symmetries */ -/* 3. "other" boundary conditions, e.g. radiative */ - -/* to simplify scheduling and testing, the 3 steps */ -/* are currently applied in separate functions */ - - -void ML_BSSN_MP_O8_CheckBoundaries(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - return; -} - -void ML_BSSN_MP_O8_SelectBoundConds(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - - if (CCTK_EQUALS(ML_curv_bound, "none" ) || - CCTK_EQUALS(ML_curv_bound, "static") || - CCTK_EQUALS(ML_curv_bound, "flat" ) || - CCTK_EQUALS(ML_curv_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::ML_curv", ML_curv_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_curv_bound BC for ML_BSSN_MP_O8::ML_curv!"); - } - - if (CCTK_EQUALS(ML_dtlapse_bound, "none" ) || - CCTK_EQUALS(ML_dtlapse_bound, "static") || - CCTK_EQUALS(ML_dtlapse_bound, "flat" ) || - CCTK_EQUALS(ML_dtlapse_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::ML_dtlapse", ML_dtlapse_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_dtlapse_bound BC for ML_BSSN_MP_O8::ML_dtlapse!"); - } - - if (CCTK_EQUALS(ML_dtshift_bound, "none" ) || - CCTK_EQUALS(ML_dtshift_bound, "static") || - CCTK_EQUALS(ML_dtshift_bound, "flat" ) || - CCTK_EQUALS(ML_dtshift_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::ML_dtshift", ML_dtshift_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_dtshift_bound BC for ML_BSSN_MP_O8::ML_dtshift!"); - } - - if (CCTK_EQUALS(ML_Gamma_bound, "none" ) || - CCTK_EQUALS(ML_Gamma_bound, "static") || - CCTK_EQUALS(ML_Gamma_bound, "flat" ) || - CCTK_EQUALS(ML_Gamma_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::ML_Gamma", ML_Gamma_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_Gamma_bound BC for ML_BSSN_MP_O8::ML_Gamma!"); - } - - if (CCTK_EQUALS(ML_lapse_bound, "none" ) || - CCTK_EQUALS(ML_lapse_bound, "static") || - CCTK_EQUALS(ML_lapse_bound, "flat" ) || - CCTK_EQUALS(ML_lapse_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::ML_lapse", ML_lapse_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_lapse_bound BC for ML_BSSN_MP_O8::ML_lapse!"); - } - - if (CCTK_EQUALS(ML_log_confac_bound, "none" ) || - CCTK_EQUALS(ML_log_confac_bound, "static") || - CCTK_EQUALS(ML_log_confac_bound, "flat" ) || - CCTK_EQUALS(ML_log_confac_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::ML_log_confac", ML_log_confac_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_log_confac_bound BC for ML_BSSN_MP_O8::ML_log_confac!"); - } - - if (CCTK_EQUALS(ML_metric_bound, "none" ) || - CCTK_EQUALS(ML_metric_bound, "static") || - CCTK_EQUALS(ML_metric_bound, "flat" ) || - CCTK_EQUALS(ML_metric_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::ML_metric", ML_metric_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_metric_bound BC for ML_BSSN_MP_O8::ML_metric!"); - } - - if (CCTK_EQUALS(ML_shift_bound, "none" ) || - CCTK_EQUALS(ML_shift_bound, "static") || - CCTK_EQUALS(ML_shift_bound, "flat" ) || - CCTK_EQUALS(ML_shift_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::ML_shift", ML_shift_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_shift_bound BC for ML_BSSN_MP_O8::ML_shift!"); - } - - if (CCTK_EQUALS(ML_trace_curv_bound, "none" ) || - CCTK_EQUALS(ML_trace_curv_bound, "static") || - CCTK_EQUALS(ML_trace_curv_bound, "flat" ) || - CCTK_EQUALS(ML_trace_curv_bound, "zero" ) ) - { - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::ML_trace_curv", ML_trace_curv_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register ML_trace_curv_bound BC for ML_BSSN_MP_O8::ML_trace_curv!"); - } - - if (CCTK_EQUALS(At11_bound, "none" ) || - CCTK_EQUALS(At11_bound, "static") || - CCTK_EQUALS(At11_bound, "flat" ) || - CCTK_EQUALS(At11_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::At11", At11_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register At11_bound BC for ML_BSSN_MP_O8::At11!"); - } - - if (CCTK_EQUALS(At12_bound, "none" ) || - CCTK_EQUALS(At12_bound, "static") || - CCTK_EQUALS(At12_bound, "flat" ) || - CCTK_EQUALS(At12_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::At12", At12_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register At12_bound BC for ML_BSSN_MP_O8::At12!"); - } - - if (CCTK_EQUALS(At13_bound, "none" ) || - CCTK_EQUALS(At13_bound, "static") || - CCTK_EQUALS(At13_bound, "flat" ) || - CCTK_EQUALS(At13_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::At13", At13_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register At13_bound BC for ML_BSSN_MP_O8::At13!"); - } - - if (CCTK_EQUALS(At22_bound, "none" ) || - CCTK_EQUALS(At22_bound, "static") || - CCTK_EQUALS(At22_bound, "flat" ) || - CCTK_EQUALS(At22_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::At22", At22_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register At22_bound BC for ML_BSSN_MP_O8::At22!"); - } - - if (CCTK_EQUALS(At23_bound, "none" ) || - CCTK_EQUALS(At23_bound, "static") || - CCTK_EQUALS(At23_bound, "flat" ) || - CCTK_EQUALS(At23_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::At23", At23_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register At23_bound BC for ML_BSSN_MP_O8::At23!"); - } - - if (CCTK_EQUALS(At33_bound, "none" ) || - CCTK_EQUALS(At33_bound, "static") || - CCTK_EQUALS(At33_bound, "flat" ) || - CCTK_EQUALS(At33_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::At33", At33_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register At33_bound BC for ML_BSSN_MP_O8::At33!"); - } - - if (CCTK_EQUALS(A_bound, "none" ) || - CCTK_EQUALS(A_bound, "static") || - CCTK_EQUALS(A_bound, "flat" ) || - CCTK_EQUALS(A_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::A", A_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register A_bound BC for ML_BSSN_MP_O8::A!"); - } - - if (CCTK_EQUALS(B1_bound, "none" ) || - CCTK_EQUALS(B1_bound, "static") || - CCTK_EQUALS(B1_bound, "flat" ) || - CCTK_EQUALS(B1_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::B1", B1_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register B1_bound BC for ML_BSSN_MP_O8::B1!"); - } - - if (CCTK_EQUALS(B2_bound, "none" ) || - CCTK_EQUALS(B2_bound, "static") || - CCTK_EQUALS(B2_bound, "flat" ) || - CCTK_EQUALS(B2_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::B2", B2_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register B2_bound BC for ML_BSSN_MP_O8::B2!"); - } - - if (CCTK_EQUALS(B3_bound, "none" ) || - CCTK_EQUALS(B3_bound, "static") || - CCTK_EQUALS(B3_bound, "flat" ) || - CCTK_EQUALS(B3_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::B3", B3_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register B3_bound BC for ML_BSSN_MP_O8::B3!"); - } - - if (CCTK_EQUALS(Xt1_bound, "none" ) || - CCTK_EQUALS(Xt1_bound, "static") || - CCTK_EQUALS(Xt1_bound, "flat" ) || - CCTK_EQUALS(Xt1_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::Xt1", Xt1_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register Xt1_bound BC for ML_BSSN_MP_O8::Xt1!"); - } - - if (CCTK_EQUALS(Xt2_bound, "none" ) || - CCTK_EQUALS(Xt2_bound, "static") || - CCTK_EQUALS(Xt2_bound, "flat" ) || - CCTK_EQUALS(Xt2_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::Xt2", Xt2_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register Xt2_bound BC for ML_BSSN_MP_O8::Xt2!"); - } - - if (CCTK_EQUALS(Xt3_bound, "none" ) || - CCTK_EQUALS(Xt3_bound, "static") || - CCTK_EQUALS(Xt3_bound, "flat" ) || - CCTK_EQUALS(Xt3_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::Xt3", Xt3_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register Xt3_bound BC for ML_BSSN_MP_O8::Xt3!"); - } - - if (CCTK_EQUALS(alpha_bound, "none" ) || - CCTK_EQUALS(alpha_bound, "static") || - CCTK_EQUALS(alpha_bound, "flat" ) || - CCTK_EQUALS(alpha_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::alpha", alpha_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register alpha_bound BC for ML_BSSN_MP_O8::alpha!"); - } - - if (CCTK_EQUALS(phi_bound, "none" ) || - CCTK_EQUALS(phi_bound, "static") || - CCTK_EQUALS(phi_bound, "flat" ) || - CCTK_EQUALS(phi_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::phi", phi_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register phi_bound BC for ML_BSSN_MP_O8::phi!"); - } - - if (CCTK_EQUALS(gt11_bound, "none" ) || - CCTK_EQUALS(gt11_bound, "static") || - CCTK_EQUALS(gt11_bound, "flat" ) || - CCTK_EQUALS(gt11_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::gt11", gt11_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register gt11_bound BC for ML_BSSN_MP_O8::gt11!"); - } - - if (CCTK_EQUALS(gt12_bound, "none" ) || - CCTK_EQUALS(gt12_bound, "static") || - CCTK_EQUALS(gt12_bound, "flat" ) || - CCTK_EQUALS(gt12_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::gt12", gt12_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register gt12_bound BC for ML_BSSN_MP_O8::gt12!"); - } - - if (CCTK_EQUALS(gt13_bound, "none" ) || - CCTK_EQUALS(gt13_bound, "static") || - CCTK_EQUALS(gt13_bound, "flat" ) || - CCTK_EQUALS(gt13_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::gt13", gt13_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register gt13_bound BC for ML_BSSN_MP_O8::gt13!"); - } - - if (CCTK_EQUALS(gt22_bound, "none" ) || - CCTK_EQUALS(gt22_bound, "static") || - CCTK_EQUALS(gt22_bound, "flat" ) || - CCTK_EQUALS(gt22_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::gt22", gt22_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register gt22_bound BC for ML_BSSN_MP_O8::gt22!"); - } - - if (CCTK_EQUALS(gt23_bound, "none" ) || - CCTK_EQUALS(gt23_bound, "static") || - CCTK_EQUALS(gt23_bound, "flat" ) || - CCTK_EQUALS(gt23_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::gt23", gt23_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register gt23_bound BC for ML_BSSN_MP_O8::gt23!"); - } - - if (CCTK_EQUALS(gt33_bound, "none" ) || - CCTK_EQUALS(gt33_bound, "static") || - CCTK_EQUALS(gt33_bound, "flat" ) || - CCTK_EQUALS(gt33_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::gt33", gt33_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register gt33_bound BC for ML_BSSN_MP_O8::gt33!"); - } - - if (CCTK_EQUALS(beta1_bound, "none" ) || - CCTK_EQUALS(beta1_bound, "static") || - CCTK_EQUALS(beta1_bound, "flat" ) || - CCTK_EQUALS(beta1_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::beta1", beta1_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register beta1_bound BC for ML_BSSN_MP_O8::beta1!"); - } - - if (CCTK_EQUALS(beta2_bound, "none" ) || - CCTK_EQUALS(beta2_bound, "static") || - CCTK_EQUALS(beta2_bound, "flat" ) || - CCTK_EQUALS(beta2_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::beta2", beta2_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register beta2_bound BC for ML_BSSN_MP_O8::beta2!"); - } - - if (CCTK_EQUALS(beta3_bound, "none" ) || - CCTK_EQUALS(beta3_bound, "static") || - CCTK_EQUALS(beta3_bound, "flat" ) || - CCTK_EQUALS(beta3_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::beta3", beta3_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register beta3_bound BC for ML_BSSN_MP_O8::beta3!"); - } - - if (CCTK_EQUALS(trK_bound, "none" ) || - CCTK_EQUALS(trK_bound, "static") || - CCTK_EQUALS(trK_bound, "flat" ) || - CCTK_EQUALS(trK_bound, "zero" ) ) - { - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1, - "ML_BSSN_MP_O8::trK", trK_bound); - if (ierr < 0) - CCTK_WARN(0, "Failed to register trK_bound BC for ML_BSSN_MP_O8::trK!"); - } - - if (CCTK_EQUALS(ML_curv_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_curv_bound = -1; - if (handle_ML_curv_bound < 0) handle_ML_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_curv_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_curv_bound , ML_curv_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_curv_bound ,ML_curv_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_curv_bound, - "ML_BSSN_MP_O8::ML_curv", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::ML_curv!"); - - } - - if (CCTK_EQUALS(ML_dtlapse_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_dtlapse_bound = -1; - if (handle_ML_dtlapse_bound < 0) handle_ML_dtlapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_dtlapse_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_dtlapse_bound , ML_dtlapse_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_dtlapse_bound ,ML_dtlapse_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_dtlapse_bound, - "ML_BSSN_MP_O8::ML_dtlapse", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::ML_dtlapse!"); - - } - - if (CCTK_EQUALS(ML_dtshift_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_dtshift_bound = -1; - if (handle_ML_dtshift_bound < 0) handle_ML_dtshift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_dtshift_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_dtshift_bound , ML_dtshift_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_dtshift_bound ,ML_dtshift_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_dtshift_bound, - "ML_BSSN_MP_O8::ML_dtshift", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::ML_dtshift!"); - - } - - if (CCTK_EQUALS(ML_Gamma_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_Gamma_bound = -1; - if (handle_ML_Gamma_bound < 0) handle_ML_Gamma_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_Gamma_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_Gamma_bound , ML_Gamma_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_Gamma_bound ,ML_Gamma_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_Gamma_bound, - "ML_BSSN_MP_O8::ML_Gamma", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::ML_Gamma!"); - - } - - if (CCTK_EQUALS(ML_lapse_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_lapse_bound = -1; - if (handle_ML_lapse_bound < 0) handle_ML_lapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_lapse_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_lapse_bound , ML_lapse_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_lapse_bound ,ML_lapse_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_lapse_bound, - "ML_BSSN_MP_O8::ML_lapse", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::ML_lapse!"); - - } - - if (CCTK_EQUALS(ML_log_confac_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_log_confac_bound = -1; - if (handle_ML_log_confac_bound < 0) handle_ML_log_confac_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_log_confac_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_log_confac_bound , ML_log_confac_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_log_confac_bound ,ML_log_confac_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_log_confac_bound, - "ML_BSSN_MP_O8::ML_log_confac", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::ML_log_confac!"); - - } - - if (CCTK_EQUALS(ML_metric_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_metric_bound = -1; - if (handle_ML_metric_bound < 0) handle_ML_metric_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_metric_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_metric_bound , ML_metric_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_metric_bound ,ML_metric_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_metric_bound, - "ML_BSSN_MP_O8::ML_metric", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::ML_metric!"); - - } - - if (CCTK_EQUALS(ML_shift_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_shift_bound = -1; - if (handle_ML_shift_bound < 0) handle_ML_shift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_shift_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_shift_bound , ML_shift_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_shift_bound ,ML_shift_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_shift_bound, - "ML_BSSN_MP_O8::ML_shift", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::ML_shift!"); - - } - - if (CCTK_EQUALS(ML_trace_curv_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_ML_trace_curv_bound = -1; - if (handle_ML_trace_curv_bound < 0) handle_ML_trace_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_trace_curv_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_trace_curv_bound , ML_trace_curv_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_ML_trace_curv_bound ,ML_trace_curv_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_trace_curv_bound, - "ML_BSSN_MP_O8::ML_trace_curv", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::ML_trace_curv!"); - - } - - if (CCTK_EQUALS(At11_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_At11_bound = -1; - if (handle_At11_bound < 0) handle_At11_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At11_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At11_bound , At11_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_At11_bound ,At11_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At11_bound, - "ML_BSSN_MP_O8::At11", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::At11!"); - - } - - if (CCTK_EQUALS(At12_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_At12_bound = -1; - if (handle_At12_bound < 0) handle_At12_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At12_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At12_bound , At12_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_At12_bound ,At12_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At12_bound, - "ML_BSSN_MP_O8::At12", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::At12!"); - - } - - if (CCTK_EQUALS(At13_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_At13_bound = -1; - if (handle_At13_bound < 0) handle_At13_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At13_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At13_bound , At13_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_At13_bound ,At13_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At13_bound, - "ML_BSSN_MP_O8::At13", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::At13!"); - - } - - if (CCTK_EQUALS(At22_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_At22_bound = -1; - if (handle_At22_bound < 0) handle_At22_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At22_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At22_bound , At22_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_At22_bound ,At22_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At22_bound, - "ML_BSSN_MP_O8::At22", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::At22!"); - - } - - if (CCTK_EQUALS(At23_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_At23_bound = -1; - if (handle_At23_bound < 0) handle_At23_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At23_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At23_bound , At23_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_At23_bound ,At23_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At23_bound, - "ML_BSSN_MP_O8::At23", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::At23!"); - - } - - if (CCTK_EQUALS(At33_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_At33_bound = -1; - if (handle_At33_bound < 0) handle_At33_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At33_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At33_bound , At33_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_At33_bound ,At33_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At33_bound, - "ML_BSSN_MP_O8::At33", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::At33!"); - - } - - if (CCTK_EQUALS(A_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_A_bound = -1; - if (handle_A_bound < 0) handle_A_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_A_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_A_bound , A_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_A_bound ,A_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_A_bound, - "ML_BSSN_MP_O8::A", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::A!"); - - } - - if (CCTK_EQUALS(B1_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_B1_bound = -1; - if (handle_B1_bound < 0) handle_B1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_B1_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_B1_bound , B1_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_B1_bound ,B1_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B1_bound, - "ML_BSSN_MP_O8::B1", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::B1!"); - - } - - if (CCTK_EQUALS(B2_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_B2_bound = -1; - if (handle_B2_bound < 0) handle_B2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_B2_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_B2_bound , B2_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_B2_bound ,B2_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B2_bound, - "ML_BSSN_MP_O8::B2", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::B2!"); - - } - - if (CCTK_EQUALS(B3_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_B3_bound = -1; - if (handle_B3_bound < 0) handle_B3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_B3_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_B3_bound , B3_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_B3_bound ,B3_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B3_bound, - "ML_BSSN_MP_O8::B3", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::B3!"); - - } - - if (CCTK_EQUALS(Xt1_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_Xt1_bound = -1; - if (handle_Xt1_bound < 0) handle_Xt1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_Xt1_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_Xt1_bound , Xt1_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_Xt1_bound ,Xt1_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt1_bound, - "ML_BSSN_MP_O8::Xt1", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::Xt1!"); - - } - - if (CCTK_EQUALS(Xt2_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_Xt2_bound = -1; - if (handle_Xt2_bound < 0) handle_Xt2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_Xt2_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_Xt2_bound , Xt2_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_Xt2_bound ,Xt2_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt2_bound, - "ML_BSSN_MP_O8::Xt2", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::Xt2!"); - - } - - if (CCTK_EQUALS(Xt3_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_Xt3_bound = -1; - if (handle_Xt3_bound < 0) handle_Xt3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_Xt3_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_Xt3_bound , Xt3_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_Xt3_bound ,Xt3_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt3_bound, - "ML_BSSN_MP_O8::Xt3", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::Xt3!"); - - } - - if (CCTK_EQUALS(alpha_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_alpha_bound = -1; - if (handle_alpha_bound < 0) handle_alpha_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_alpha_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_alpha_bound , alpha_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_alpha_bound ,alpha_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_alpha_bound, - "ML_BSSN_MP_O8::alpha", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::alpha!"); - - } - - if (CCTK_EQUALS(phi_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_phi_bound = -1; - if (handle_phi_bound < 0) handle_phi_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_phi_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_phi_bound , phi_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_phi_bound ,phi_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_phi_bound, - "ML_BSSN_MP_O8::phi", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::phi!"); - - } - - if (CCTK_EQUALS(gt11_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_gt11_bound = -1; - if (handle_gt11_bound < 0) handle_gt11_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt11_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt11_bound , gt11_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_gt11_bound ,gt11_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt11_bound, - "ML_BSSN_MP_O8::gt11", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::gt11!"); - - } - - if (CCTK_EQUALS(gt12_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_gt12_bound = -1; - if (handle_gt12_bound < 0) handle_gt12_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt12_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt12_bound , gt12_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_gt12_bound ,gt12_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt12_bound, - "ML_BSSN_MP_O8::gt12", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::gt12!"); - - } - - if (CCTK_EQUALS(gt13_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_gt13_bound = -1; - if (handle_gt13_bound < 0) handle_gt13_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt13_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt13_bound , gt13_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_gt13_bound ,gt13_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt13_bound, - "ML_BSSN_MP_O8::gt13", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::gt13!"); - - } - - if (CCTK_EQUALS(gt22_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_gt22_bound = -1; - if (handle_gt22_bound < 0) handle_gt22_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt22_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt22_bound , gt22_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_gt22_bound ,gt22_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt22_bound, - "ML_BSSN_MP_O8::gt22", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::gt22!"); - - } - - if (CCTK_EQUALS(gt23_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_gt23_bound = -1; - if (handle_gt23_bound < 0) handle_gt23_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt23_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt23_bound , gt23_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_gt23_bound ,gt23_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt23_bound, - "ML_BSSN_MP_O8::gt23", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::gt23!"); - - } - - if (CCTK_EQUALS(gt33_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_gt33_bound = -1; - if (handle_gt33_bound < 0) handle_gt33_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt33_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt33_bound , gt33_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_gt33_bound ,gt33_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt33_bound, - "ML_BSSN_MP_O8::gt33", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::gt33!"); - - } - - if (CCTK_EQUALS(beta1_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_beta1_bound = -1; - if (handle_beta1_bound < 0) handle_beta1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_beta1_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_beta1_bound , beta1_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_beta1_bound ,beta1_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta1_bound, - "ML_BSSN_MP_O8::beta1", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::beta1!"); - - } - - if (CCTK_EQUALS(beta2_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_beta2_bound = -1; - if (handle_beta2_bound < 0) handle_beta2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_beta2_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_beta2_bound , beta2_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_beta2_bound ,beta2_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta2_bound, - "ML_BSSN_MP_O8::beta2", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::beta2!"); - - } - - if (CCTK_EQUALS(beta3_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_beta3_bound = -1; - if (handle_beta3_bound < 0) handle_beta3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_beta3_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_beta3_bound , beta3_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_beta3_bound ,beta3_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta3_bound, - "ML_BSSN_MP_O8::beta3", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::beta3!"); - - } - - if (CCTK_EQUALS(trK_bound, "radiative")) - { - /* select radiation boundary condition */ - static CCTK_INT handle_trK_bound = -1; - if (handle_trK_bound < 0) handle_trK_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_trK_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_trK_bound , trK_bound_limit, "LIMIT") < 0) - CCTK_WARN(0, "could not set LIMIT value in table!"); - if (Util_TableSetReal(handle_trK_bound ,trK_bound_speed, "SPEED") < 0) - CCTK_WARN(0, "could not set SPEED value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_trK_bound, - "ML_BSSN_MP_O8::trK", "Radiation"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Radiation BC for ML_BSSN_MP_O8::trK!"); - - } - - if (CCTK_EQUALS(ML_curv_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_curv_bound = -1; - if (handle_ML_curv_bound < 0) handle_ML_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_curv_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_curv_bound ,ML_curv_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_curv_bound, - "ML_BSSN_MP_O8::ML_curv", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_MP_O8::ML_curv!"); - - } - - if (CCTK_EQUALS(ML_dtlapse_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_dtlapse_bound = -1; - if (handle_ML_dtlapse_bound < 0) handle_ML_dtlapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_dtlapse_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_dtlapse_bound ,ML_dtlapse_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_dtlapse_bound, - "ML_BSSN_MP_O8::ML_dtlapse", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_MP_O8::ML_dtlapse!"); - - } - - if (CCTK_EQUALS(ML_dtshift_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_dtshift_bound = -1; - if (handle_ML_dtshift_bound < 0) handle_ML_dtshift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_dtshift_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_dtshift_bound ,ML_dtshift_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_dtshift_bound, - "ML_BSSN_MP_O8::ML_dtshift", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_MP_O8::ML_dtshift!"); - - } - - if (CCTK_EQUALS(ML_Gamma_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_Gamma_bound = -1; - if (handle_ML_Gamma_bound < 0) handle_ML_Gamma_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_Gamma_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_Gamma_bound ,ML_Gamma_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_Gamma_bound, - "ML_BSSN_MP_O8::ML_Gamma", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_MP_O8::ML_Gamma!"); - - } - - if (CCTK_EQUALS(ML_lapse_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_lapse_bound = -1; - if (handle_ML_lapse_bound < 0) handle_ML_lapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_lapse_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_lapse_bound ,ML_lapse_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_lapse_bound, - "ML_BSSN_MP_O8::ML_lapse", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_MP_O8::ML_lapse!"); - - } - - if (CCTK_EQUALS(ML_log_confac_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_log_confac_bound = -1; - if (handle_ML_log_confac_bound < 0) handle_ML_log_confac_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_log_confac_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_log_confac_bound ,ML_log_confac_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_log_confac_bound, - "ML_BSSN_MP_O8::ML_log_confac", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_MP_O8::ML_log_confac!"); - - } - - if (CCTK_EQUALS(ML_metric_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_metric_bound = -1; - if (handle_ML_metric_bound < 0) handle_ML_metric_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_metric_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_metric_bound ,ML_metric_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_metric_bound, - "ML_BSSN_MP_O8::ML_metric", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_MP_O8::ML_metric!"); - - } - - if (CCTK_EQUALS(ML_shift_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_shift_bound = -1; - if (handle_ML_shift_bound < 0) handle_ML_shift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_shift_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_shift_bound ,ML_shift_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_shift_bound, - "ML_BSSN_MP_O8::ML_shift", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_MP_O8::ML_shift!"); - - } - - if (CCTK_EQUALS(ML_trace_curv_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_ML_trace_curv_bound = -1; - if (handle_ML_trace_curv_bound < 0) handle_ML_trace_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_ML_trace_curv_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_ML_trace_curv_bound ,ML_trace_curv_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_trace_curv_bound, - "ML_BSSN_MP_O8::ML_trace_curv", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Failed to register Scalar BC for ML_BSSN_MP_O8::ML_trace_curv!"); - - } - - if (CCTK_EQUALS(At11_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_At11_bound = -1; - if (handle_At11_bound < 0) handle_At11_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At11_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At11_bound ,At11_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At11_bound, - "ML_BSSN_MP_O8::At11", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::At11!"); - - } - - if (CCTK_EQUALS(At12_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_At12_bound = -1; - if (handle_At12_bound < 0) handle_At12_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At12_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At12_bound ,At12_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At12_bound, - "ML_BSSN_MP_O8::At12", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::At12!"); - - } - - if (CCTK_EQUALS(At13_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_At13_bound = -1; - if (handle_At13_bound < 0) handle_At13_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At13_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At13_bound ,At13_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At13_bound, - "ML_BSSN_MP_O8::At13", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::At13!"); - - } - - if (CCTK_EQUALS(At22_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_At22_bound = -1; - if (handle_At22_bound < 0) handle_At22_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At22_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At22_bound ,At22_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At22_bound, - "ML_BSSN_MP_O8::At22", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::At22!"); - - } - - if (CCTK_EQUALS(At23_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_At23_bound = -1; - if (handle_At23_bound < 0) handle_At23_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At23_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At23_bound ,At23_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At23_bound, - "ML_BSSN_MP_O8::At23", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::At23!"); - - } - - if (CCTK_EQUALS(At33_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_At33_bound = -1; - if (handle_At33_bound < 0) handle_At33_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_At33_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_At33_bound ,At33_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_At33_bound, - "ML_BSSN_MP_O8::At33", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::At33!"); - - } - - if (CCTK_EQUALS(A_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_A_bound = -1; - if (handle_A_bound < 0) handle_A_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_A_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_A_bound ,A_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_A_bound, - "ML_BSSN_MP_O8::A", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::A!"); - - } - - if (CCTK_EQUALS(B1_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_B1_bound = -1; - if (handle_B1_bound < 0) handle_B1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_B1_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_B1_bound ,B1_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B1_bound, - "ML_BSSN_MP_O8::B1", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::B1!"); - - } - - if (CCTK_EQUALS(B2_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_B2_bound = -1; - if (handle_B2_bound < 0) handle_B2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_B2_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_B2_bound ,B2_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B2_bound, - "ML_BSSN_MP_O8::B2", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::B2!"); - - } - - if (CCTK_EQUALS(B3_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_B3_bound = -1; - if (handle_B3_bound < 0) handle_B3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_B3_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_B3_bound ,B3_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_B3_bound, - "ML_BSSN_MP_O8::B3", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::B3!"); - - } - - if (CCTK_EQUALS(Xt1_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_Xt1_bound = -1; - if (handle_Xt1_bound < 0) handle_Xt1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_Xt1_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_Xt1_bound ,Xt1_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt1_bound, - "ML_BSSN_MP_O8::Xt1", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::Xt1!"); - - } - - if (CCTK_EQUALS(Xt2_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_Xt2_bound = -1; - if (handle_Xt2_bound < 0) handle_Xt2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_Xt2_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_Xt2_bound ,Xt2_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt2_bound, - "ML_BSSN_MP_O8::Xt2", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::Xt2!"); - - } - - if (CCTK_EQUALS(Xt3_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_Xt3_bound = -1; - if (handle_Xt3_bound < 0) handle_Xt3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_Xt3_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_Xt3_bound ,Xt3_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_Xt3_bound, - "ML_BSSN_MP_O8::Xt3", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::Xt3!"); - - } - - if (CCTK_EQUALS(alpha_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_alpha_bound = -1; - if (handle_alpha_bound < 0) handle_alpha_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_alpha_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_alpha_bound ,alpha_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_alpha_bound, - "ML_BSSN_MP_O8::alpha", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::alpha!"); - - } - - if (CCTK_EQUALS(phi_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_phi_bound = -1; - if (handle_phi_bound < 0) handle_phi_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_phi_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_phi_bound ,phi_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_phi_bound, - "ML_BSSN_MP_O8::phi", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::phi!"); - - } - - if (CCTK_EQUALS(gt11_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_gt11_bound = -1; - if (handle_gt11_bound < 0) handle_gt11_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt11_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt11_bound ,gt11_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt11_bound, - "ML_BSSN_MP_O8::gt11", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::gt11!"); - - } - - if (CCTK_EQUALS(gt12_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_gt12_bound = -1; - if (handle_gt12_bound < 0) handle_gt12_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt12_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt12_bound ,gt12_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt12_bound, - "ML_BSSN_MP_O8::gt12", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::gt12!"); - - } - - if (CCTK_EQUALS(gt13_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_gt13_bound = -1; - if (handle_gt13_bound < 0) handle_gt13_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt13_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt13_bound ,gt13_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt13_bound, - "ML_BSSN_MP_O8::gt13", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::gt13!"); - - } - - if (CCTK_EQUALS(gt22_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_gt22_bound = -1; - if (handle_gt22_bound < 0) handle_gt22_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt22_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt22_bound ,gt22_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt22_bound, - "ML_BSSN_MP_O8::gt22", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::gt22!"); - - } - - if (CCTK_EQUALS(gt23_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_gt23_bound = -1; - if (handle_gt23_bound < 0) handle_gt23_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt23_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt23_bound ,gt23_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt23_bound, - "ML_BSSN_MP_O8::gt23", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::gt23!"); - - } - - if (CCTK_EQUALS(gt33_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_gt33_bound = -1; - if (handle_gt33_bound < 0) handle_gt33_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_gt33_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_gt33_bound ,gt33_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_gt33_bound, - "ML_BSSN_MP_O8::gt33", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::gt33!"); - - } - - if (CCTK_EQUALS(beta1_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_beta1_bound = -1; - if (handle_beta1_bound < 0) handle_beta1_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_beta1_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_beta1_bound ,beta1_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta1_bound, - "ML_BSSN_MP_O8::beta1", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::beta1!"); - - } - - if (CCTK_EQUALS(beta2_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_beta2_bound = -1; - if (handle_beta2_bound < 0) handle_beta2_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_beta2_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_beta2_bound ,beta2_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta2_bound, - "ML_BSSN_MP_O8::beta2", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::beta2!"); - - } - - if (CCTK_EQUALS(beta3_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_beta3_bound = -1; - if (handle_beta3_bound < 0) handle_beta3_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_beta3_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_beta3_bound ,beta3_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_beta3_bound, - "ML_BSSN_MP_O8::beta3", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::beta3!"); - - } - - if (CCTK_EQUALS(trK_bound, "scalar")) - { - /* select scalar boundary condition */ - static CCTK_INT handle_trK_bound = -1; - if (handle_trK_bound < 0) handle_trK_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE); - if (handle_trK_bound < 0) CCTK_WARN(0, "could not create table!"); - if (Util_TableSetReal(handle_trK_bound ,trK_bound_scalar, "SCALAR") < 0) - CCTK_WARN(0, "could not set SCALAR value in table!"); - - ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_trK_bound, - "ML_BSSN_MP_O8::trK", "scalar"); - - if (ierr < 0) - CCTK_WARN(0, "Error in registering Scalar BC for ML_BSSN_MP_O8::trK!"); - - } - return; -} - - - -/* template for entries in parameter file: -#$bound$#ML_BSSN_MP_O8::ML_curv_bound = "skip" -#$bound$#ML_BSSN_MP_O8::ML_curv_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::ML_curv_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::ML_curv_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::ML_dtlapse_bound = "skip" -#$bound$#ML_BSSN_MP_O8::ML_dtlapse_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::ML_dtlapse_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::ML_dtlapse_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::ML_dtshift_bound = "skip" -#$bound$#ML_BSSN_MP_O8::ML_dtshift_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::ML_dtshift_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::ML_dtshift_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::ML_Gamma_bound = "skip" -#$bound$#ML_BSSN_MP_O8::ML_Gamma_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::ML_Gamma_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::ML_Gamma_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::ML_lapse_bound = "skip" -#$bound$#ML_BSSN_MP_O8::ML_lapse_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::ML_lapse_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::ML_lapse_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::ML_log_confac_bound = "skip" -#$bound$#ML_BSSN_MP_O8::ML_log_confac_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::ML_log_confac_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::ML_log_confac_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::ML_metric_bound = "skip" -#$bound$#ML_BSSN_MP_O8::ML_metric_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::ML_metric_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::ML_metric_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::ML_shift_bound = "skip" -#$bound$#ML_BSSN_MP_O8::ML_shift_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::ML_shift_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::ML_shift_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::ML_trace_curv_bound = "skip" -#$bound$#ML_BSSN_MP_O8::ML_trace_curv_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::ML_trace_curv_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::ML_trace_curv_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::At11_bound = "skip" -#$bound$#ML_BSSN_MP_O8::At11_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::At11_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::At11_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::At12_bound = "skip" -#$bound$#ML_BSSN_MP_O8::At12_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::At12_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::At12_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::At13_bound = "skip" -#$bound$#ML_BSSN_MP_O8::At13_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::At13_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::At13_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::At22_bound = "skip" -#$bound$#ML_BSSN_MP_O8::At22_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::At22_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::At22_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::At23_bound = "skip" -#$bound$#ML_BSSN_MP_O8::At23_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::At23_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::At23_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::At33_bound = "skip" -#$bound$#ML_BSSN_MP_O8::At33_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::At33_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::At33_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::A_bound = "skip" -#$bound$#ML_BSSN_MP_O8::A_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::A_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::A_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::B1_bound = "skip" -#$bound$#ML_BSSN_MP_O8::B1_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::B1_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::B1_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::B2_bound = "skip" -#$bound$#ML_BSSN_MP_O8::B2_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::B2_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::B2_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::B3_bound = "skip" -#$bound$#ML_BSSN_MP_O8::B3_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::B3_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::B3_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::Xt1_bound = "skip" -#$bound$#ML_BSSN_MP_O8::Xt1_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::Xt1_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::Xt1_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::Xt2_bound = "skip" -#$bound$#ML_BSSN_MP_O8::Xt2_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::Xt2_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::Xt2_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::Xt3_bound = "skip" -#$bound$#ML_BSSN_MP_O8::Xt3_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::Xt3_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::Xt3_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::alpha_bound = "skip" -#$bound$#ML_BSSN_MP_O8::alpha_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::alpha_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::alpha_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::phi_bound = "skip" -#$bound$#ML_BSSN_MP_O8::phi_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::phi_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::phi_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::gt11_bound = "skip" -#$bound$#ML_BSSN_MP_O8::gt11_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::gt11_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::gt11_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::gt12_bound = "skip" -#$bound$#ML_BSSN_MP_O8::gt12_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::gt12_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::gt12_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::gt13_bound = "skip" -#$bound$#ML_BSSN_MP_O8::gt13_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::gt13_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::gt13_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::gt22_bound = "skip" -#$bound$#ML_BSSN_MP_O8::gt22_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::gt22_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::gt22_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::gt23_bound = "skip" -#$bound$#ML_BSSN_MP_O8::gt23_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::gt23_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::gt23_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::gt33_bound = "skip" -#$bound$#ML_BSSN_MP_O8::gt33_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::gt33_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::gt33_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::beta1_bound = "skip" -#$bound$#ML_BSSN_MP_O8::beta1_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::beta1_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::beta1_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::beta2_bound = "skip" -#$bound$#ML_BSSN_MP_O8::beta2_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::beta2_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::beta2_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::beta3_bound = "skip" -#$bound$#ML_BSSN_MP_O8::beta3_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::beta3_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::beta3_bound_scalar = 0.0 - -#$bound$#ML_BSSN_MP_O8::trK_bound = "skip" -#$bound$#ML_BSSN_MP_O8::trK_bound_speed = 1.0 -#$bound$#ML_BSSN_MP_O8::trK_bound_limit = 0.0 -#$bound$#ML_BSSN_MP_O8::trK_bound_scalar = 0.0 - -*/ - diff --git a/ML_BSSN_MP_O8/src/Differencing.h b/ML_BSSN_MP_O8/src/Differencing.h index 450d07a..5cd43c9 100644 --- a/ML_BSSN_MP_O8/src/Differencing.h +++ b/ML_BSSN_MP_O8/src/Differencing.h @@ -1,27 +1,27 @@ -#define PDstandardNth1(u,i,j,k) (p1o840dx*(-672*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 672*(u)[index+di*(1)+dj*(0)+dk*(0)] + 168*(u)[index+di*(-2)+dj*(0)+dk*(0)] - 168*(u)[index+di*(2)+dj*(0)+dk*(0)] - 32*(u)[index+di*(-3)+dj*(0)+dk*(0)] + 32*(u)[index+di*(3)+dj*(0)+dk*(0)] + 3*(u)[index+di*(-4)+dj*(0)+dk*(0)] - 3*(u)[index+di*(4)+dj*(0)+dk*(0)])) -#define PDstandardNth2(u,i,j,k) (p1o840dy*(-672*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 672*(u)[index+di*(0)+dj*(1)+dk*(0)] + 168*(u)[index+di*(0)+dj*(-2)+dk*(0)] - 168*(u)[index+di*(0)+dj*(2)+dk*(0)] - 32*(u)[index+di*(0)+dj*(-3)+dk*(0)] + 32*(u)[index+di*(0)+dj*(3)+dk*(0)] + 3*(u)[index+di*(0)+dj*(-4)+dk*(0)] - 3*(u)[index+di*(0)+dj*(4)+dk*(0)])) -#define PDstandardNth3(u,i,j,k) (p1o840dz*(-672*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 672*(u)[index+di*(0)+dj*(0)+dk*(1)] + 168*(u)[index+di*(0)+dj*(0)+dk*(-2)] - 168*(u)[index+di*(0)+dj*(0)+dk*(2)] - 32*(u)[index+di*(0)+dj*(0)+dk*(-3)] + 32*(u)[index+di*(0)+dj*(0)+dk*(3)] + 3*(u)[index+di*(0)+dj*(0)+dk*(-4)] - 3*(u)[index+di*(0)+dj*(0)+dk*(4)])) -#define PDstandardNth11(u,i,j,k) (p1o5040dx2*(-14350*(u)[index+di*(0)+dj*(0)+dk*(0)] + 8064*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) - 1008*((u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)]) + 128*((u)[index+di*(-3)+dj*(0)+dk*(0)] + (u)[index+di*(3)+dj*(0)+dk*(0)]) - 9*((u)[index+di*(-4)+dj*(0)+dk*(0)] + (u)[index+di*(4)+dj*(0)+dk*(0)]))) -#define PDstandardNth22(u,i,j,k) (p1o5040dy2*(-14350*(u)[index+di*(0)+dj*(0)+dk*(0)] + 8064*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) - 1008*((u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)]) + 128*((u)[index+di*(0)+dj*(-3)+dk*(0)] + (u)[index+di*(0)+dj*(3)+dk*(0)]) - 9*((u)[index+di*(0)+dj*(-4)+dk*(0)] + (u)[index+di*(0)+dj*(4)+dk*(0)]))) -#define PDstandardNth33(u,i,j,k) (p1o5040dz2*(-14350*(u)[index+di*(0)+dj*(0)+dk*(0)] + 8064*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) - 1008*((u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)]) + 128*((u)[index+di*(0)+dj*(0)+dk*(-3)] + (u)[index+di*(0)+dj*(0)+dk*(3)]) - 9*((u)[index+di*(0)+dj*(0)+dk*(-4)] + (u)[index+di*(0)+dj*(0)+dk*(4)]))) -#define PDstandardNth12(u,i,j,k) (p1o705600dxdy*(-451584*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 451584*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 112896*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 112896*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) - 28224*((u)[index+di*(-2)+dj*(2)+dk*(0)] + (u)[index+di*(2)+dj*(-2)+dk*(0)]) + 28224*((u)[index+di*(-2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)]) - 21504*((u)[index+di*(-1)+dj*(3)+dk*(0)] + (u)[index+di*(1)+dj*(-3)+dk*(0)] + (u)[index+di*(-3)+dj*(1)+dk*(0)] + (u)[index+di*(3)+dj*(-1)+dk*(0)]) + 21504*((u)[index+di*(-1)+dj*(-3)+dk*(0)] + (u)[index+di*(1)+dj*(3)+dk*(0)] + (u)[index+di*(-3)+dj*(-1)+dk*(0)] + (u)[index+di*(3)+dj*(1)+dk*(0)]) + 5376*((u)[index+di*(-2)+dj*(3)+dk*(0)] + (u)[index+di*(2)+dj*(-3)+dk*(0)] + (u)[index+di*(-3)+dj*(2)+dk*(0)] + (u)[index+di*(3)+dj*(-2)+dk*(0)]) - 5376*((u)[index+di*(-2)+dj*(-3)+dk*(0)] + (u)[index+di*(2)+dj*(3)+dk*(0)] + (u)[index+di*(-3)+dj*(-2)+dk*(0)] + (u)[index+di*(3)+dj*(2)+dk*(0)]) - 1024*((u)[index+di*(-3)+dj*(3)+dk*(0)] + (u)[index+di*(3)+dj*(-3)+dk*(0)]) + 1024*((u)[index+di*(-3)+dj*(-3)+dk*(0)] + (u)[index+di*(3)+dj*(3)+dk*(0)]) + 2016*((u)[index+di*(-1)+dj*(4)+dk*(0)] + (u)[index+di*(1)+dj*(-4)+dk*(0)] + (u)[index+di*(-4)+dj*(1)+dk*(0)] + (u)[index+di*(4)+dj*(-1)+dk*(0)]) - 2016*((u)[index+di*(-1)+dj*(-4)+dk*(0)] + (u)[index+di*(1)+dj*(4)+dk*(0)] + (u)[index+di*(-4)+dj*(-1)+dk*(0)] + (u)[index+di*(4)+dj*(1)+dk*(0)]) - 504*((u)[index+di*(-2)+dj*(4)+dk*(0)] + (u)[index+di*(2)+dj*(-4)+dk*(0)] + (u)[index+di*(-4)+dj*(2)+dk*(0)] + (u)[index+di*(4)+dj*(-2)+dk*(0)]) + 504*((u)[index+di*(-2)+dj*(-4)+dk*(0)] + (u)[index+di*(2)+dj*(4)+dk*(0)] + (u)[index+di*(-4)+dj*(-2)+dk*(0)] + (u)[index+di*(4)+dj*(2)+dk*(0)]) + 96*((u)[index+di*(-3)+dj*(4)+dk*(0)] + (u)[index+di*(3)+dj*(-4)+dk*(0)] + (u)[index+di*(-4)+dj*(3)+dk*(0)] + (u)[index+di*(4)+dj*(-3)+dk*(0)]) - 96*((u)[index+di*(-3)+dj*(-4)+dk*(0)] + (u)[index+di*(3)+dj*(4)+dk*(0)] + (u)[index+di*(-4)+dj*(-3)+dk*(0)] + (u)[index+di*(4)+dj*(3)+dk*(0)]) - 9*((u)[index+di*(-4)+dj*(4)+dk*(0)] + (u)[index+di*(4)+dj*(-4)+dk*(0)]) + 9*((u)[index+di*(-4)+dj*(-4)+dk*(0)] + (u)[index+di*(4)+dj*(4)+dk*(0)]))) -#define PDstandardNth13(u,i,j,k) (p1o705600dxdz*(-451584*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 451584*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 112896*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 112896*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) - 28224*((u)[index+di*(-2)+dj*(0)+dk*(2)] + (u)[index+di*(2)+dj*(0)+dk*(-2)]) + 28224*((u)[index+di*(-2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)]) - 21504*((u)[index+di*(-1)+dj*(0)+dk*(3)] + (u)[index+di*(1)+dj*(0)+dk*(-3)] + (u)[index+di*(-3)+dj*(0)+dk*(1)] + (u)[index+di*(3)+dj*(0)+dk*(-1)]) + 21504*((u)[index+di*(-1)+dj*(0)+dk*(-3)] + (u)[index+di*(1)+dj*(0)+dk*(3)] + (u)[index+di*(-3)+dj*(0)+dk*(-1)] + (u)[index+di*(3)+dj*(0)+dk*(1)]) + 5376*((u)[index+di*(-2)+dj*(0)+dk*(3)] + (u)[index+di*(2)+dj*(0)+dk*(-3)] + (u)[index+di*(-3)+dj*(0)+dk*(2)] + (u)[index+di*(3)+dj*(0)+dk*(-2)]) - 5376*((u)[index+di*(-2)+dj*(0)+dk*(-3)] + (u)[index+di*(2)+dj*(0)+dk*(3)] + (u)[index+di*(-3)+dj*(0)+dk*(-2)] + (u)[index+di*(3)+dj*(0)+dk*(2)]) - 1024*((u)[index+di*(-3)+dj*(0)+dk*(3)] + (u)[index+di*(3)+dj*(0)+dk*(-3)]) + 1024*((u)[index+di*(-3)+dj*(0)+dk*(-3)] + (u)[index+di*(3)+dj*(0)+dk*(3)]) + 2016*((u)[index+di*(-1)+dj*(0)+dk*(4)] + (u)[index+di*(1)+dj*(0)+dk*(-4)] + (u)[index+di*(-4)+dj*(0)+dk*(1)] + (u)[index+di*(4)+dj*(0)+dk*(-1)]) - 2016*((u)[index+di*(-1)+dj*(0)+dk*(-4)] + (u)[index+di*(1)+dj*(0)+dk*(4)] + (u)[index+di*(-4)+dj*(0)+dk*(-1)] + (u)[index+di*(4)+dj*(0)+dk*(1)]) - 504*((u)[index+di*(-2)+dj*(0)+dk*(4)] + (u)[index+di*(2)+dj*(0)+dk*(-4)] + (u)[index+di*(-4)+dj*(0)+dk*(2)] + (u)[index+di*(4)+dj*(0)+dk*(-2)]) + 504*((u)[index+di*(-2)+dj*(0)+dk*(-4)] + (u)[index+di*(2)+dj*(0)+dk*(4)] + (u)[index+di*(-4)+dj*(0)+dk*(-2)] + (u)[index+di*(4)+dj*(0)+dk*(2)]) + 96*((u)[index+di*(-3)+dj*(0)+dk*(4)] + (u)[index+di*(3)+dj*(0)+dk*(-4)] + (u)[index+di*(-4)+dj*(0)+dk*(3)] + (u)[index+di*(4)+dj*(0)+dk*(-3)]) - 96*((u)[index+di*(-3)+dj*(0)+dk*(-4)] + (u)[index+di*(3)+dj*(0)+dk*(4)] + (u)[index+di*(-4)+dj*(0)+dk*(-3)] + (u)[index+di*(4)+dj*(0)+dk*(3)]) - 9*((u)[index+di*(-4)+dj*(0)+dk*(4)] + (u)[index+di*(4)+dj*(0)+dk*(-4)]) + 9*((u)[index+di*(-4)+dj*(0)+dk*(-4)] + (u)[index+di*(4)+dj*(0)+dk*(4)]))) -#define PDstandardNth21(u,i,j,k) (p1o705600dxdy*(-451584*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 451584*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 112896*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 112896*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) - 28224*((u)[index+di*(-2)+dj*(2)+dk*(0)] + (u)[index+di*(2)+dj*(-2)+dk*(0)]) + 28224*((u)[index+di*(-2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)]) - 21504*((u)[index+di*(-1)+dj*(3)+dk*(0)] + (u)[index+di*(1)+dj*(-3)+dk*(0)] + (u)[index+di*(-3)+dj*(1)+dk*(0)] + (u)[index+di*(3)+dj*(-1)+dk*(0)]) + 21504*((u)[index+di*(-1)+dj*(-3)+dk*(0)] + (u)[index+di*(1)+dj*(3)+dk*(0)] + (u)[index+di*(-3)+dj*(-1)+dk*(0)] + (u)[index+di*(3)+dj*(1)+dk*(0)]) + 5376*((u)[index+di*(-2)+dj*(3)+dk*(0)] + (u)[index+di*(2)+dj*(-3)+dk*(0)] + (u)[index+di*(-3)+dj*(2)+dk*(0)] + (u)[index+di*(3)+dj*(-2)+dk*(0)]) - 5376*((u)[index+di*(-2)+dj*(-3)+dk*(0)] + (u)[index+di*(2)+dj*(3)+dk*(0)] + (u)[index+di*(-3)+dj*(-2)+dk*(0)] + (u)[index+di*(3)+dj*(2)+dk*(0)]) - 1024*((u)[index+di*(-3)+dj*(3)+dk*(0)] + (u)[index+di*(3)+dj*(-3)+dk*(0)]) + 1024*((u)[index+di*(-3)+dj*(-3)+dk*(0)] + (u)[index+di*(3)+dj*(3)+dk*(0)]) + 2016*((u)[index+di*(-1)+dj*(4)+dk*(0)] + (u)[index+di*(1)+dj*(-4)+dk*(0)] + (u)[index+di*(-4)+dj*(1)+dk*(0)] + (u)[index+di*(4)+dj*(-1)+dk*(0)]) - 2016*((u)[index+di*(-1)+dj*(-4)+dk*(0)] + (u)[index+di*(1)+dj*(4)+dk*(0)] + (u)[index+di*(-4)+dj*(-1)+dk*(0)] + (u)[index+di*(4)+dj*(1)+dk*(0)]) - 504*((u)[index+di*(-2)+dj*(4)+dk*(0)] + (u)[index+di*(2)+dj*(-4)+dk*(0)] + (u)[index+di*(-4)+dj*(2)+dk*(0)] + (u)[index+di*(4)+dj*(-2)+dk*(0)]) + 504*((u)[index+di*(-2)+dj*(-4)+dk*(0)] + (u)[index+di*(2)+dj*(4)+dk*(0)] + (u)[index+di*(-4)+dj*(-2)+dk*(0)] + (u)[index+di*(4)+dj*(2)+dk*(0)]) + 96*((u)[index+di*(-3)+dj*(4)+dk*(0)] + (u)[index+di*(3)+dj*(-4)+dk*(0)] + (u)[index+di*(-4)+dj*(3)+dk*(0)] + (u)[index+di*(4)+dj*(-3)+dk*(0)]) - 96*((u)[index+di*(-3)+dj*(-4)+dk*(0)] + (u)[index+di*(3)+dj*(4)+dk*(0)] + (u)[index+di*(-4)+dj*(-3)+dk*(0)] + (u)[index+di*(4)+dj*(3)+dk*(0)]) - 9*((u)[index+di*(-4)+dj*(4)+dk*(0)] + (u)[index+di*(4)+dj*(-4)+dk*(0)]) + 9*((u)[index+di*(-4)+dj*(-4)+dk*(0)] + (u)[index+di*(4)+dj*(4)+dk*(0)]))) -#define PDstandardNth23(u,i,j,k) (p1o705600dydz*(-451584*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 451584*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 112896*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 112896*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) - 28224*((u)[index+di*(0)+dj*(-2)+dk*(2)] + (u)[index+di*(0)+dj*(2)+dk*(-2)]) + 28224*((u)[index+di*(0)+dj*(-2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)]) - 21504*((u)[index+di*(0)+dj*(-1)+dk*(3)] + (u)[index+di*(0)+dj*(1)+dk*(-3)] + (u)[index+di*(0)+dj*(-3)+dk*(1)] + (u)[index+di*(0)+dj*(3)+dk*(-1)]) + 21504*((u)[index+di*(0)+dj*(-1)+dk*(-3)] + (u)[index+di*(0)+dj*(1)+dk*(3)] + (u)[index+di*(0)+dj*(-3)+dk*(-1)] + (u)[index+di*(0)+dj*(3)+dk*(1)]) + 5376*((u)[index+di*(0)+dj*(-2)+dk*(3)] + (u)[index+di*(0)+dj*(2)+dk*(-3)] + (u)[index+di*(0)+dj*(-3)+dk*(2)] + (u)[index+di*(0)+dj*(3)+dk*(-2)]) - 5376*((u)[index+di*(0)+dj*(-2)+dk*(-3)] + (u)[index+di*(0)+dj*(2)+dk*(3)] + (u)[index+di*(0)+dj*(-3)+dk*(-2)] + (u)[index+di*(0)+dj*(3)+dk*(2)]) - 1024*((u)[index+di*(0)+dj*(-3)+dk*(3)] + (u)[index+di*(0)+dj*(3)+dk*(-3)]) + 1024*((u)[index+di*(0)+dj*(-3)+dk*(-3)] + (u)[index+di*(0)+dj*(3)+dk*(3)]) + 2016*((u)[index+di*(0)+dj*(-1)+dk*(4)] + (u)[index+di*(0)+dj*(1)+dk*(-4)] + (u)[index+di*(0)+dj*(-4)+dk*(1)] + (u)[index+di*(0)+dj*(4)+dk*(-1)]) - 2016*((u)[index+di*(0)+dj*(-1)+dk*(-4)] + (u)[index+di*(0)+dj*(1)+dk*(4)] + (u)[index+di*(0)+dj*(-4)+dk*(-1)] + (u)[index+di*(0)+dj*(4)+dk*(1)]) - 504*((u)[index+di*(0)+dj*(-2)+dk*(4)] + (u)[index+di*(0)+dj*(2)+dk*(-4)] + (u)[index+di*(0)+dj*(-4)+dk*(2)] + (u)[index+di*(0)+dj*(4)+dk*(-2)]) + 504*((u)[index+di*(0)+dj*(-2)+dk*(-4)] + (u)[index+di*(0)+dj*(2)+dk*(4)] + (u)[index+di*(0)+dj*(-4)+dk*(-2)] + (u)[index+di*(0)+dj*(4)+dk*(2)]) + 96*((u)[index+di*(0)+dj*(-3)+dk*(4)] + (u)[index+di*(0)+dj*(3)+dk*(-4)] + (u)[index+di*(0)+dj*(-4)+dk*(3)] + (u)[index+di*(0)+dj*(4)+dk*(-3)]) - 96*((u)[index+di*(0)+dj*(-3)+dk*(-4)] + (u)[index+di*(0)+dj*(3)+dk*(4)] + (u)[index+di*(0)+dj*(-4)+dk*(-3)] + (u)[index+di*(0)+dj*(4)+dk*(3)]) - 9*((u)[index+di*(0)+dj*(-4)+dk*(4)] + (u)[index+di*(0)+dj*(4)+dk*(-4)]) + 9*((u)[index+di*(0)+dj*(-4)+dk*(-4)] + (u)[index+di*(0)+dj*(4)+dk*(4)]))) -#define PDstandardNth31(u,i,j,k) (p1o705600dxdz*(-451584*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 451584*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 112896*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 112896*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) - 28224*((u)[index+di*(-2)+dj*(0)+dk*(2)] + (u)[index+di*(2)+dj*(0)+dk*(-2)]) + 28224*((u)[index+di*(-2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)]) - 21504*((u)[index+di*(-1)+dj*(0)+dk*(3)] + (u)[index+di*(1)+dj*(0)+dk*(-3)] + (u)[index+di*(-3)+dj*(0)+dk*(1)] + (u)[index+di*(3)+dj*(0)+dk*(-1)]) + 21504*((u)[index+di*(-1)+dj*(0)+dk*(-3)] + (u)[index+di*(1)+dj*(0)+dk*(3)] + (u)[index+di*(-3)+dj*(0)+dk*(-1)] + (u)[index+di*(3)+dj*(0)+dk*(1)]) + 5376*((u)[index+di*(-2)+dj*(0)+dk*(3)] + (u)[index+di*(2)+dj*(0)+dk*(-3)] + (u)[index+di*(-3)+dj*(0)+dk*(2)] + (u)[index+di*(3)+dj*(0)+dk*(-2)]) - 5376*((u)[index+di*(-2)+dj*(0)+dk*(-3)] + (u)[index+di*(2)+dj*(0)+dk*(3)] + (u)[index+di*(-3)+dj*(0)+dk*(-2)] + (u)[index+di*(3)+dj*(0)+dk*(2)]) - 1024*((u)[index+di*(-3)+dj*(0)+dk*(3)] + (u)[index+di*(3)+dj*(0)+dk*(-3)]) + 1024*((u)[index+di*(-3)+dj*(0)+dk*(-3)] + (u)[index+di*(3)+dj*(0)+dk*(3)]) + 2016*((u)[index+di*(-1)+dj*(0)+dk*(4)] + (u)[index+di*(1)+dj*(0)+dk*(-4)] + (u)[index+di*(-4)+dj*(0)+dk*(1)] + (u)[index+di*(4)+dj*(0)+dk*(-1)]) - 2016*((u)[index+di*(-1)+dj*(0)+dk*(-4)] + (u)[index+di*(1)+dj*(0)+dk*(4)] + (u)[index+di*(-4)+dj*(0)+dk*(-1)] + (u)[index+di*(4)+dj*(0)+dk*(1)]) - 504*((u)[index+di*(-2)+dj*(0)+dk*(4)] + (u)[index+di*(2)+dj*(0)+dk*(-4)] + (u)[index+di*(-4)+dj*(0)+dk*(2)] + (u)[index+di*(4)+dj*(0)+dk*(-2)]) + 504*((u)[index+di*(-2)+dj*(0)+dk*(-4)] + (u)[index+di*(2)+dj*(0)+dk*(4)] + (u)[index+di*(-4)+dj*(0)+dk*(-2)] + (u)[index+di*(4)+dj*(0)+dk*(2)]) + 96*((u)[index+di*(-3)+dj*(0)+dk*(4)] + (u)[index+di*(3)+dj*(0)+dk*(-4)] + (u)[index+di*(-4)+dj*(0)+dk*(3)] + (u)[index+di*(4)+dj*(0)+dk*(-3)]) - 96*((u)[index+di*(-3)+dj*(0)+dk*(-4)] + (u)[index+di*(3)+dj*(0)+dk*(4)] + (u)[index+di*(-4)+dj*(0)+dk*(-3)] + (u)[index+di*(4)+dj*(0)+dk*(3)]) - 9*((u)[index+di*(-4)+dj*(0)+dk*(4)] + (u)[index+di*(4)+dj*(0)+dk*(-4)]) + 9*((u)[index+di*(-4)+dj*(0)+dk*(-4)] + (u)[index+di*(4)+dj*(0)+dk*(4)]))) -#define PDstandardNth32(u,i,j,k) (p1o705600dydz*(-451584*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 451584*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 112896*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 112896*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) - 28224*((u)[index+di*(0)+dj*(-2)+dk*(2)] + (u)[index+di*(0)+dj*(2)+dk*(-2)]) + 28224*((u)[index+di*(0)+dj*(-2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)]) - 21504*((u)[index+di*(0)+dj*(-1)+dk*(3)] + (u)[index+di*(0)+dj*(1)+dk*(-3)] + (u)[index+di*(0)+dj*(-3)+dk*(1)] + (u)[index+di*(0)+dj*(3)+dk*(-1)]) + 21504*((u)[index+di*(0)+dj*(-1)+dk*(-3)] + (u)[index+di*(0)+dj*(1)+dk*(3)] + (u)[index+di*(0)+dj*(-3)+dk*(-1)] + (u)[index+di*(0)+dj*(3)+dk*(1)]) + 5376*((u)[index+di*(0)+dj*(-2)+dk*(3)] + (u)[index+di*(0)+dj*(2)+dk*(-3)] + (u)[index+di*(0)+dj*(-3)+dk*(2)] + (u)[index+di*(0)+dj*(3)+dk*(-2)]) - 5376*((u)[index+di*(0)+dj*(-2)+dk*(-3)] + (u)[index+di*(0)+dj*(2)+dk*(3)] + (u)[index+di*(0)+dj*(-3)+dk*(-2)] + (u)[index+di*(0)+dj*(3)+dk*(2)]) - 1024*((u)[index+di*(0)+dj*(-3)+dk*(3)] + (u)[index+di*(0)+dj*(3)+dk*(-3)]) + 1024*((u)[index+di*(0)+dj*(-3)+dk*(-3)] + (u)[index+di*(0)+dj*(3)+dk*(3)]) + 2016*((u)[index+di*(0)+dj*(-1)+dk*(4)] + (u)[index+di*(0)+dj*(1)+dk*(-4)] + (u)[index+di*(0)+dj*(-4)+dk*(1)] + (u)[index+di*(0)+dj*(4)+dk*(-1)]) - 2016*((u)[index+di*(0)+dj*(-1)+dk*(-4)] + (u)[index+di*(0)+dj*(1)+dk*(4)] + (u)[index+di*(0)+dj*(-4)+dk*(-1)] + (u)[index+di*(0)+dj*(4)+dk*(1)]) - 504*((u)[index+di*(0)+dj*(-2)+dk*(4)] + (u)[index+di*(0)+dj*(2)+dk*(-4)] + (u)[index+di*(0)+dj*(-4)+dk*(2)] + (u)[index+di*(0)+dj*(4)+dk*(-2)]) + 504*((u)[index+di*(0)+dj*(-2)+dk*(-4)] + (u)[index+di*(0)+dj*(2)+dk*(4)] + (u)[index+di*(0)+dj*(-4)+dk*(-2)] + (u)[index+di*(0)+dj*(4)+dk*(2)]) + 96*((u)[index+di*(0)+dj*(-3)+dk*(4)] + (u)[index+di*(0)+dj*(3)+dk*(-4)] + (u)[index+di*(0)+dj*(-4)+dk*(3)] + (u)[index+di*(0)+dj*(4)+dk*(-3)]) - 96*((u)[index+di*(0)+dj*(-3)+dk*(-4)] + (u)[index+di*(0)+dj*(3)+dk*(4)] + (u)[index+di*(0)+dj*(-4)+dk*(-3)] + (u)[index+di*(0)+dj*(4)+dk*(3)]) - 9*((u)[index+di*(0)+dj*(-4)+dk*(4)] + (u)[index+di*(0)+dj*(4)+dk*(-4)]) + 9*((u)[index+di*(0)+dj*(-4)+dk*(-4)] + (u)[index+di*(0)+dj*(4)+dk*(4)]))) -#define PDdissipationNth1(u,i,j,k) (p1o1024dx*(-252*(u)[index+di*(0)+dj*(0)+dk*(0)] + 210*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) - 120*((u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)]) + 45*((u)[index+di*(-3)+dj*(0)+dk*(0)] + (u)[index+di*(3)+dj*(0)+dk*(0)]) - 10*((u)[index+di*(-4)+dj*(0)+dk*(0)] + (u)[index+di*(4)+dj*(0)+dk*(0)]) + (u)[index+di*(-5)+dj*(0)+dk*(0)] + (u)[index+di*(5)+dj*(0)+dk*(0)])) -#define PDdissipationNth2(u,i,j,k) (p1o1024dy*(-252*(u)[index+di*(0)+dj*(0)+dk*(0)] + 210*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) - 120*((u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)]) + 45*((u)[index+di*(0)+dj*(-3)+dk*(0)] + (u)[index+di*(0)+dj*(3)+dk*(0)]) - 10*((u)[index+di*(0)+dj*(-4)+dk*(0)] + (u)[index+di*(0)+dj*(4)+dk*(0)]) + (u)[index+di*(0)+dj*(-5)+dk*(0)] + (u)[index+di*(0)+dj*(5)+dk*(0)])) -#define PDdissipationNth3(u,i,j,k) (p1o1024dz*(-252*(u)[index+di*(0)+dj*(0)+dk*(0)] + 210*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) - 120*((u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)]) + 45*((u)[index+di*(0)+dj*(0)+dk*(-3)] + (u)[index+di*(0)+dj*(0)+dk*(3)]) - 10*((u)[index+di*(0)+dj*(0)+dk*(-4)] + (u)[index+di*(0)+dj*(0)+dk*(4)]) + (u)[index+di*(0)+dj*(0)+dk*(-5)] + (u)[index+di*(0)+dj*(0)+dk*(5)])) -#define PDupwindNth1(u,i,j,k) (pm1o840dx*(378*(u)[index+di*(0)+dj*(0)+dk*(0)] - 60*(u)[index+di*(-2*dir1)+dj*(0)+dk*(0)] + 5*(u)[index+di*(-3*dir1)+dj*(0)+dk*(0)] - 140*(u)[index+di*(3*dir1)+dj*(0)+dk*(0)] + 30*(u)[index+di*(4*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(5*dir1)+dj*(0)+dk*(0)] + 420*((u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(-dir1)+dj*(0)+dk*(0)]) - 1050*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) -#define PDupwindNth2(u,i,j,k) (pm1o840dy*(378*(u)[index+di*(0)+dj*(0)+dk*(0)] - 60*(u)[index+di*(0)+dj*(-2*dir2)+dk*(0)] + 5*(u)[index+di*(0)+dj*(-3*dir2)+dk*(0)] - 140*(u)[index+di*(0)+dj*(3*dir2)+dk*(0)] + 30*(u)[index+di*(0)+dj*(4*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(5*dir2)+dk*(0)] + 420*((u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(-dir2)+dk*(0)]) - 1050*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) -#define PDupwindNth3(u,i,j,k) (pm1o840dz*(378*(u)[index+di*(0)+dj*(0)+dk*(0)] - 60*(u)[index+di*(0)+dj*(0)+dk*(-2*dir3)] + 5*(u)[index+di*(0)+dj*(0)+dk*(-3*dir3)] - 140*(u)[index+di*(0)+dj*(0)+dk*(3*dir3)] + 30*(u)[index+di*(0)+dj*(0)+dk*(4*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(5*dir3)] + 420*((u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(-dir3)]) - 1050*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) -#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) -#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) -#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) -#define PDupwindNthAnti1(u,i,j,k) (p1o1680dx*(-1470*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 1470*(u)[index+di*(1)+dj*(0)+dk*(0)] + 480*(u)[index+di*(-2)+dj*(0)+dk*(0)] - 480*(u)[index+di*(2)+dj*(0)+dk*(0)] - 145*(u)[index+di*(-3)+dj*(0)+dk*(0)] + 145*(u)[index+di*(3)+dj*(0)+dk*(0)] + 30*(u)[index+di*(-4)+dj*(0)+dk*(0)] - 30*(u)[index+di*(4)+dj*(0)+dk*(0)] - 3*(u)[index+di*(-5)+dj*(0)+dk*(0)] + 3*(u)[index+di*(5)+dj*(0)+dk*(0)])) -#define PDupwindNthSymm1(u,i,j,k) (p1o560dx*(-252*(u)[index+di*(0)+dj*(0)+dk*(0)] + 210*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) - 120*((u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)]) + 45*((u)[index+di*(-3)+dj*(0)+dk*(0)] + (u)[index+di*(3)+dj*(0)+dk*(0)]) - 10*((u)[index+di*(-4)+dj*(0)+dk*(0)] + (u)[index+di*(4)+dj*(0)+dk*(0)]) + (u)[index+di*(-5)+dj*(0)+dk*(0)] + (u)[index+di*(5)+dj*(0)+dk*(0)])) -#define PDupwindNthAnti2(u,i,j,k) (p1o1680dy*(-1470*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 1470*(u)[index+di*(0)+dj*(1)+dk*(0)] + 480*(u)[index+di*(0)+dj*(-2)+dk*(0)] - 480*(u)[index+di*(0)+dj*(2)+dk*(0)] - 145*(u)[index+di*(0)+dj*(-3)+dk*(0)] + 145*(u)[index+di*(0)+dj*(3)+dk*(0)] + 30*(u)[index+di*(0)+dj*(-4)+dk*(0)] - 30*(u)[index+di*(0)+dj*(4)+dk*(0)] - 3*(u)[index+di*(0)+dj*(-5)+dk*(0)] + 3*(u)[index+di*(0)+dj*(5)+dk*(0)])) -#define PDupwindNthSymm2(u,i,j,k) (p1o560dy*(-252*(u)[index+di*(0)+dj*(0)+dk*(0)] + 210*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) - 120*((u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)]) + 45*((u)[index+di*(0)+dj*(-3)+dk*(0)] + (u)[index+di*(0)+dj*(3)+dk*(0)]) - 10*((u)[index+di*(0)+dj*(-4)+dk*(0)] + (u)[index+di*(0)+dj*(4)+dk*(0)]) + (u)[index+di*(0)+dj*(-5)+dk*(0)] + (u)[index+di*(0)+dj*(5)+dk*(0)])) -#define PDupwindNthAnti3(u,i,j,k) (p1o1680dz*(-1470*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 1470*(u)[index+di*(0)+dj*(0)+dk*(1)] + 480*(u)[index+di*(0)+dj*(0)+dk*(-2)] - 480*(u)[index+di*(0)+dj*(0)+dk*(2)] - 145*(u)[index+di*(0)+dj*(0)+dk*(-3)] + 145*(u)[index+di*(0)+dj*(0)+dk*(3)] + 30*(u)[index+di*(0)+dj*(0)+dk*(-4)] - 30*(u)[index+di*(0)+dj*(0)+dk*(4)] - 3*(u)[index+di*(0)+dj*(0)+dk*(-5)] + 3*(u)[index+di*(0)+dj*(0)+dk*(5)])) -#define PDupwindNthSymm3(u,i,j,k) (p1o560dz*(-252*(u)[index+di*(0)+dj*(0)+dk*(0)] + 210*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) - 120*((u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)]) + 45*((u)[index+di*(0)+dj*(0)+dk*(-3)] + (u)[index+di*(0)+dj*(0)+dk*(3)]) - 10*((u)[index+di*(0)+dj*(0)+dk*(-4)] + (u)[index+di*(0)+dj*(0)+dk*(4)]) + (u)[index+di*(0)+dj*(0)+dk*(-5)] + (u)[index+di*(0)+dj*(0)+dk*(5)])) +#define PDstandardNth1(u) (p1o840dx*(-672*(u)[di*(-1)+dj*(0)+dk*(0)] + 672*(u)[di*(1)+dj*(0)+dk*(0)] + 168*(u)[di*(-2)+dj*(0)+dk*(0)] - 168*(u)[di*(2)+dj*(0)+dk*(0)] - 32*(u)[di*(-3)+dj*(0)+dk*(0)] + 32*(u)[di*(3)+dj*(0)+dk*(0)] + 3*(u)[di*(-4)+dj*(0)+dk*(0)] - 3*(u)[di*(4)+dj*(0)+dk*(0)])) +#define PDstandardNth2(u) (p1o840dy*(-672*(u)[di*(0)+dj*(-1)+dk*(0)] + 672*(u)[di*(0)+dj*(1)+dk*(0)] + 168*(u)[di*(0)+dj*(-2)+dk*(0)] - 168*(u)[di*(0)+dj*(2)+dk*(0)] - 32*(u)[di*(0)+dj*(-3)+dk*(0)] + 32*(u)[di*(0)+dj*(3)+dk*(0)] + 3*(u)[di*(0)+dj*(-4)+dk*(0)] - 3*(u)[di*(0)+dj*(4)+dk*(0)])) +#define PDstandardNth3(u) (p1o840dz*(-672*(u)[di*(0)+dj*(0)+dk*(-1)] + 672*(u)[di*(0)+dj*(0)+dk*(1)] + 168*(u)[di*(0)+dj*(0)+dk*(-2)] - 168*(u)[di*(0)+dj*(0)+dk*(2)] - 32*(u)[di*(0)+dj*(0)+dk*(-3)] + 32*(u)[di*(0)+dj*(0)+dk*(3)] + 3*(u)[di*(0)+dj*(0)+dk*(-4)] - 3*(u)[di*(0)+dj*(0)+dk*(4)])) +#define PDstandardNth11(u) (p1o5040dx2*(-14350*(u)[di*(0)+dj*(0)+dk*(0)] + 8064*((u)[di*(-1)+dj*(0)+dk*(0)] + (u)[di*(1)+dj*(0)+dk*(0)]) - 1008*((u)[di*(-2)+dj*(0)+dk*(0)] + (u)[di*(2)+dj*(0)+dk*(0)]) + 128*((u)[di*(-3)+dj*(0)+dk*(0)] + (u)[di*(3)+dj*(0)+dk*(0)]) - 9*((u)[di*(-4)+dj*(0)+dk*(0)] + (u)[di*(4)+dj*(0)+dk*(0)]))) +#define PDstandardNth22(u) (p1o5040dy2*(-14350*(u)[di*(0)+dj*(0)+dk*(0)] + 8064*((u)[di*(0)+dj*(-1)+dk*(0)] + (u)[di*(0)+dj*(1)+dk*(0)]) - 1008*((u)[di*(0)+dj*(-2)+dk*(0)] + (u)[di*(0)+dj*(2)+dk*(0)]) + 128*((u)[di*(0)+dj*(-3)+dk*(0)] + (u)[di*(0)+dj*(3)+dk*(0)]) - 9*((u)[di*(0)+dj*(-4)+dk*(0)] + (u)[di*(0)+dj*(4)+dk*(0)]))) +#define PDstandardNth33(u) (p1o5040dz2*(-14350*(u)[di*(0)+dj*(0)+dk*(0)] + 8064*((u)[di*(0)+dj*(0)+dk*(-1)] + (u)[di*(0)+dj*(0)+dk*(1)]) - 1008*((u)[di*(0)+dj*(0)+dk*(-2)] + (u)[di*(0)+dj*(0)+dk*(2)]) + 128*((u)[di*(0)+dj*(0)+dk*(-3)] + (u)[di*(0)+dj*(0)+dk*(3)]) - 9*((u)[di*(0)+dj*(0)+dk*(-4)] + (u)[di*(0)+dj*(0)+dk*(4)]))) +#define PDstandardNth12(u) (p1o705600dxdy*(-451584*((u)[di*(-1)+dj*(1)+dk*(0)] + (u)[di*(1)+dj*(-1)+dk*(0)]) + 451584*((u)[di*(-1)+dj*(-1)+dk*(0)] + (u)[di*(1)+dj*(1)+dk*(0)]) + 112896*((u)[di*(-1)+dj*(2)+dk*(0)] + (u)[di*(1)+dj*(-2)+dk*(0)] + (u)[di*(-2)+dj*(1)+dk*(0)] + (u)[di*(2)+dj*(-1)+dk*(0)]) - 112896*((u)[di*(-1)+dj*(-2)+dk*(0)] + (u)[di*(1)+dj*(2)+dk*(0)] + (u)[di*(-2)+dj*(-1)+dk*(0)] + (u)[di*(2)+dj*(1)+dk*(0)]) - 28224*((u)[di*(-2)+dj*(2)+dk*(0)] + (u)[di*(2)+dj*(-2)+dk*(0)]) + 28224*((u)[di*(-2)+dj*(-2)+dk*(0)] + (u)[di*(2)+dj*(2)+dk*(0)]) - 21504*((u)[di*(-1)+dj*(3)+dk*(0)] + (u)[di*(1)+dj*(-3)+dk*(0)] + (u)[di*(-3)+dj*(1)+dk*(0)] + (u)[di*(3)+dj*(-1)+dk*(0)]) + 21504*((u)[di*(-1)+dj*(-3)+dk*(0)] + (u)[di*(1)+dj*(3)+dk*(0)] + (u)[di*(-3)+dj*(-1)+dk*(0)] + (u)[di*(3)+dj*(1)+dk*(0)]) + 5376*((u)[di*(-2)+dj*(3)+dk*(0)] + (u)[di*(2)+dj*(-3)+dk*(0)] + (u)[di*(-3)+dj*(2)+dk*(0)] + (u)[di*(3)+dj*(-2)+dk*(0)]) - 5376*((u)[di*(-2)+dj*(-3)+dk*(0)] + (u)[di*(2)+dj*(3)+dk*(0)] + (u)[di*(-3)+dj*(-2)+dk*(0)] + (u)[di*(3)+dj*(2)+dk*(0)]) - 1024*((u)[di*(-3)+dj*(3)+dk*(0)] + (u)[di*(3)+dj*(-3)+dk*(0)]) + 1024*((u)[di*(-3)+dj*(-3)+dk*(0)] + (u)[di*(3)+dj*(3)+dk*(0)]) + 2016*((u)[di*(-1)+dj*(4)+dk*(0)] + (u)[di*(1)+dj*(-4)+dk*(0)] + (u)[di*(-4)+dj*(1)+dk*(0)] + (u)[di*(4)+dj*(-1)+dk*(0)]) - 2016*((u)[di*(-1)+dj*(-4)+dk*(0)] + (u)[di*(1)+dj*(4)+dk*(0)] + (u)[di*(-4)+dj*(-1)+dk*(0)] + (u)[di*(4)+dj*(1)+dk*(0)]) - 504*((u)[di*(-2)+dj*(4)+dk*(0)] + (u)[di*(2)+dj*(-4)+dk*(0)] + (u)[di*(-4)+dj*(2)+dk*(0)] + (u)[di*(4)+dj*(-2)+dk*(0)]) + 504*((u)[di*(-2)+dj*(-4)+dk*(0)] + (u)[di*(2)+dj*(4)+dk*(0)] + (u)[di*(-4)+dj*(-2)+dk*(0)] + (u)[di*(4)+dj*(2)+dk*(0)]) + 96*((u)[di*(-3)+dj*(4)+dk*(0)] + (u)[di*(3)+dj*(-4)+dk*(0)] + (u)[di*(-4)+dj*(3)+dk*(0)] + (u)[di*(4)+dj*(-3)+dk*(0)]) - 96*((u)[di*(-3)+dj*(-4)+dk*(0)] + (u)[di*(3)+dj*(4)+dk*(0)] + (u)[di*(-4)+dj*(-3)+dk*(0)] + (u)[di*(4)+dj*(3)+dk*(0)]) - 9*((u)[di*(-4)+dj*(4)+dk*(0)] + (u)[di*(4)+dj*(-4)+dk*(0)]) + 9*((u)[di*(-4)+dj*(-4)+dk*(0)] + (u)[di*(4)+dj*(4)+dk*(0)]))) +#define PDstandardNth13(u) (p1o705600dxdz*(-451584*((u)[di*(-1)+dj*(0)+dk*(1)] + (u)[di*(1)+dj*(0)+dk*(-1)]) + 451584*((u)[di*(-1)+dj*(0)+dk*(-1)] + (u)[di*(1)+dj*(0)+dk*(1)]) + 112896*((u)[di*(-1)+dj*(0)+dk*(2)] + (u)[di*(1)+dj*(0)+dk*(-2)] + (u)[di*(-2)+dj*(0)+dk*(1)] + (u)[di*(2)+dj*(0)+dk*(-1)]) - 112896*((u)[di*(-1)+dj*(0)+dk*(-2)] + (u)[di*(1)+dj*(0)+dk*(2)] + (u)[di*(-2)+dj*(0)+dk*(-1)] + (u)[di*(2)+dj*(0)+dk*(1)]) - 28224*((u)[di*(-2)+dj*(0)+dk*(2)] + (u)[di*(2)+dj*(0)+dk*(-2)]) + 28224*((u)[di*(-2)+dj*(0)+dk*(-2)] + (u)[di*(2)+dj*(0)+dk*(2)]) - 21504*((u)[di*(-1)+dj*(0)+dk*(3)] + (u)[di*(1)+dj*(0)+dk*(-3)] + (u)[di*(-3)+dj*(0)+dk*(1)] + (u)[di*(3)+dj*(0)+dk*(-1)]) + 21504*((u)[di*(-1)+dj*(0)+dk*(-3)] + (u)[di*(1)+dj*(0)+dk*(3)] + (u)[di*(-3)+dj*(0)+dk*(-1)] + (u)[di*(3)+dj*(0)+dk*(1)]) + 5376*((u)[di*(-2)+dj*(0)+dk*(3)] + (u)[di*(2)+dj*(0)+dk*(-3)] + (u)[di*(-3)+dj*(0)+dk*(2)] + (u)[di*(3)+dj*(0)+dk*(-2)]) - 5376*((u)[di*(-2)+dj*(0)+dk*(-3)] + (u)[di*(2)+dj*(0)+dk*(3)] + (u)[di*(-3)+dj*(0)+dk*(-2)] + (u)[di*(3)+dj*(0)+dk*(2)]) - 1024*((u)[di*(-3)+dj*(0)+dk*(3)] + (u)[di*(3)+dj*(0)+dk*(-3)]) + 1024*((u)[di*(-3)+dj*(0)+dk*(-3)] + (u)[di*(3)+dj*(0)+dk*(3)]) + 2016*((u)[di*(-1)+dj*(0)+dk*(4)] + (u)[di*(1)+dj*(0)+dk*(-4)] + (u)[di*(-4)+dj*(0)+dk*(1)] + (u)[di*(4)+dj*(0)+dk*(-1)]) - 2016*((u)[di*(-1)+dj*(0)+dk*(-4)] + (u)[di*(1)+dj*(0)+dk*(4)] + (u)[di*(-4)+dj*(0)+dk*(-1)] + (u)[di*(4)+dj*(0)+dk*(1)]) - 504*((u)[di*(-2)+dj*(0)+dk*(4)] + (u)[di*(2)+dj*(0)+dk*(-4)] + (u)[di*(-4)+dj*(0)+dk*(2)] + (u)[di*(4)+dj*(0)+dk*(-2)]) + 504*((u)[di*(-2)+dj*(0)+dk*(-4)] + (u)[di*(2)+dj*(0)+dk*(4)] + (u)[di*(-4)+dj*(0)+dk*(-2)] + (u)[di*(4)+dj*(0)+dk*(2)]) + 96*((u)[di*(-3)+dj*(0)+dk*(4)] + (u)[di*(3)+dj*(0)+dk*(-4)] + (u)[di*(-4)+dj*(0)+dk*(3)] + (u)[di*(4)+dj*(0)+dk*(-3)]) - 96*((u)[di*(-3)+dj*(0)+dk*(-4)] + (u)[di*(3)+dj*(0)+dk*(4)] + (u)[di*(-4)+dj*(0)+dk*(-3)] + (u)[di*(4)+dj*(0)+dk*(3)]) - 9*((u)[di*(-4)+dj*(0)+dk*(4)] + (u)[di*(4)+dj*(0)+dk*(-4)]) + 9*((u)[di*(-4)+dj*(0)+dk*(-4)] + (u)[di*(4)+dj*(0)+dk*(4)]))) +#define PDstandardNth21(u) (p1o705600dxdy*(-451584*((u)[di*(-1)+dj*(1)+dk*(0)] + (u)[di*(1)+dj*(-1)+dk*(0)]) + 451584*((u)[di*(-1)+dj*(-1)+dk*(0)] + (u)[di*(1)+dj*(1)+dk*(0)]) + 112896*((u)[di*(-1)+dj*(2)+dk*(0)] + (u)[di*(1)+dj*(-2)+dk*(0)] + (u)[di*(-2)+dj*(1)+dk*(0)] + (u)[di*(2)+dj*(-1)+dk*(0)]) - 112896*((u)[di*(-1)+dj*(-2)+dk*(0)] + (u)[di*(1)+dj*(2)+dk*(0)] + (u)[di*(-2)+dj*(-1)+dk*(0)] + (u)[di*(2)+dj*(1)+dk*(0)]) - 28224*((u)[di*(-2)+dj*(2)+dk*(0)] + (u)[di*(2)+dj*(-2)+dk*(0)]) + 28224*((u)[di*(-2)+dj*(-2)+dk*(0)] + (u)[di*(2)+dj*(2)+dk*(0)]) - 21504*((u)[di*(-1)+dj*(3)+dk*(0)] + (u)[di*(1)+dj*(-3)+dk*(0)] + (u)[di*(-3)+dj*(1)+dk*(0)] + (u)[di*(3)+dj*(-1)+dk*(0)]) + 21504*((u)[di*(-1)+dj*(-3)+dk*(0)] + (u)[di*(1)+dj*(3)+dk*(0)] + (u)[di*(-3)+dj*(-1)+dk*(0)] + (u)[di*(3)+dj*(1)+dk*(0)]) + 5376*((u)[di*(-2)+dj*(3)+dk*(0)] + (u)[di*(2)+dj*(-3)+dk*(0)] + (u)[di*(-3)+dj*(2)+dk*(0)] + (u)[di*(3)+dj*(-2)+dk*(0)]) - 5376*((u)[di*(-2)+dj*(-3)+dk*(0)] + (u)[di*(2)+dj*(3)+dk*(0)] + (u)[di*(-3)+dj*(-2)+dk*(0)] + (u)[di*(3)+dj*(2)+dk*(0)]) - 1024*((u)[di*(-3)+dj*(3)+dk*(0)] + (u)[di*(3)+dj*(-3)+dk*(0)]) + 1024*((u)[di*(-3)+dj*(-3)+dk*(0)] + (u)[di*(3)+dj*(3)+dk*(0)]) + 2016*((u)[di*(-1)+dj*(4)+dk*(0)] + (u)[di*(1)+dj*(-4)+dk*(0)] + (u)[di*(-4)+dj*(1)+dk*(0)] + (u)[di*(4)+dj*(-1)+dk*(0)]) - 2016*((u)[di*(-1)+dj*(-4)+dk*(0)] + (u)[di*(1)+dj*(4)+dk*(0)] + (u)[di*(-4)+dj*(-1)+dk*(0)] + (u)[di*(4)+dj*(1)+dk*(0)]) - 504*((u)[di*(-2)+dj*(4)+dk*(0)] + (u)[di*(2)+dj*(-4)+dk*(0)] + (u)[di*(-4)+dj*(2)+dk*(0)] + (u)[di*(4)+dj*(-2)+dk*(0)]) + 504*((u)[di*(-2)+dj*(-4)+dk*(0)] + (u)[di*(2)+dj*(4)+dk*(0)] + (u)[di*(-4)+dj*(-2)+dk*(0)] + (u)[di*(4)+dj*(2)+dk*(0)]) + 96*((u)[di*(-3)+dj*(4)+dk*(0)] + (u)[di*(3)+dj*(-4)+dk*(0)] + (u)[di*(-4)+dj*(3)+dk*(0)] + (u)[di*(4)+dj*(-3)+dk*(0)]) - 96*((u)[di*(-3)+dj*(-4)+dk*(0)] + (u)[di*(3)+dj*(4)+dk*(0)] + (u)[di*(-4)+dj*(-3)+dk*(0)] + (u)[di*(4)+dj*(3)+dk*(0)]) - 9*((u)[di*(-4)+dj*(4)+dk*(0)] + (u)[di*(4)+dj*(-4)+dk*(0)]) + 9*((u)[di*(-4)+dj*(-4)+dk*(0)] + (u)[di*(4)+dj*(4)+dk*(0)]))) +#define PDstandardNth23(u) (p1o705600dydz*(-451584*((u)[di*(0)+dj*(-1)+dk*(1)] + (u)[di*(0)+dj*(1)+dk*(-1)]) + 451584*((u)[di*(0)+dj*(-1)+dk*(-1)] + (u)[di*(0)+dj*(1)+dk*(1)]) + 112896*((u)[di*(0)+dj*(-1)+dk*(2)] + (u)[di*(0)+dj*(1)+dk*(-2)] + (u)[di*(0)+dj*(-2)+dk*(1)] + (u)[di*(0)+dj*(2)+dk*(-1)]) - 112896*((u)[di*(0)+dj*(-1)+dk*(-2)] + (u)[di*(0)+dj*(1)+dk*(2)] + (u)[di*(0)+dj*(-2)+dk*(-1)] + (u)[di*(0)+dj*(2)+dk*(1)]) - 28224*((u)[di*(0)+dj*(-2)+dk*(2)] + (u)[di*(0)+dj*(2)+dk*(-2)]) + 28224*((u)[di*(0)+dj*(-2)+dk*(-2)] + (u)[di*(0)+dj*(2)+dk*(2)]) - 21504*((u)[di*(0)+dj*(-1)+dk*(3)] + (u)[di*(0)+dj*(1)+dk*(-3)] + (u)[di*(0)+dj*(-3)+dk*(1)] + (u)[di*(0)+dj*(3)+dk*(-1)]) + 21504*((u)[di*(0)+dj*(-1)+dk*(-3)] + (u)[di*(0)+dj*(1)+dk*(3)] + (u)[di*(0)+dj*(-3)+dk*(-1)] + (u)[di*(0)+dj*(3)+dk*(1)]) + 5376*((u)[di*(0)+dj*(-2)+dk*(3)] + (u)[di*(0)+dj*(2)+dk*(-3)] + (u)[di*(0)+dj*(-3)+dk*(2)] + (u)[di*(0)+dj*(3)+dk*(-2)]) - 5376*((u)[di*(0)+dj*(-2)+dk*(-3)] + (u)[di*(0)+dj*(2)+dk*(3)] + (u)[di*(0)+dj*(-3)+dk*(-2)] + (u)[di*(0)+dj*(3)+dk*(2)]) - 1024*((u)[di*(0)+dj*(-3)+dk*(3)] + (u)[di*(0)+dj*(3)+dk*(-3)]) + 1024*((u)[di*(0)+dj*(-3)+dk*(-3)] + (u)[di*(0)+dj*(3)+dk*(3)]) + 2016*((u)[di*(0)+dj*(-1)+dk*(4)] + (u)[di*(0)+dj*(1)+dk*(-4)] + (u)[di*(0)+dj*(-4)+dk*(1)] + (u)[di*(0)+dj*(4)+dk*(-1)]) - 2016*((u)[di*(0)+dj*(-1)+dk*(-4)] + (u)[di*(0)+dj*(1)+dk*(4)] + (u)[di*(0)+dj*(-4)+dk*(-1)] + (u)[di*(0)+dj*(4)+dk*(1)]) - 504*((u)[di*(0)+dj*(-2)+dk*(4)] + (u)[di*(0)+dj*(2)+dk*(-4)] + (u)[di*(0)+dj*(-4)+dk*(2)] + (u)[di*(0)+dj*(4)+dk*(-2)]) + 504*((u)[di*(0)+dj*(-2)+dk*(-4)] + (u)[di*(0)+dj*(2)+dk*(4)] + (u)[di*(0)+dj*(-4)+dk*(-2)] + (u)[di*(0)+dj*(4)+dk*(2)]) + 96*((u)[di*(0)+dj*(-3)+dk*(4)] + (u)[di*(0)+dj*(3)+dk*(-4)] + (u)[di*(0)+dj*(-4)+dk*(3)] + (u)[di*(0)+dj*(4)+dk*(-3)]) - 96*((u)[di*(0)+dj*(-3)+dk*(-4)] + (u)[di*(0)+dj*(3)+dk*(4)] + (u)[di*(0)+dj*(-4)+dk*(-3)] + (u)[di*(0)+dj*(4)+dk*(3)]) - 9*((u)[di*(0)+dj*(-4)+dk*(4)] + (u)[di*(0)+dj*(4)+dk*(-4)]) + 9*((u)[di*(0)+dj*(-4)+dk*(-4)] + (u)[di*(0)+dj*(4)+dk*(4)]))) +#define PDstandardNth31(u) (p1o705600dxdz*(-451584*((u)[di*(-1)+dj*(0)+dk*(1)] + (u)[di*(1)+dj*(0)+dk*(-1)]) + 451584*((u)[di*(-1)+dj*(0)+dk*(-1)] + (u)[di*(1)+dj*(0)+dk*(1)]) + 112896*((u)[di*(-1)+dj*(0)+dk*(2)] + (u)[di*(1)+dj*(0)+dk*(-2)] + (u)[di*(-2)+dj*(0)+dk*(1)] + (u)[di*(2)+dj*(0)+dk*(-1)]) - 112896*((u)[di*(-1)+dj*(0)+dk*(-2)] + (u)[di*(1)+dj*(0)+dk*(2)] + (u)[di*(-2)+dj*(0)+dk*(-1)] + (u)[di*(2)+dj*(0)+dk*(1)]) - 28224*((u)[di*(-2)+dj*(0)+dk*(2)] + (u)[di*(2)+dj*(0)+dk*(-2)]) + 28224*((u)[di*(-2)+dj*(0)+dk*(-2)] + (u)[di*(2)+dj*(0)+dk*(2)]) - 21504*((u)[di*(-1)+dj*(0)+dk*(3)] + (u)[di*(1)+dj*(0)+dk*(-3)] + (u)[di*(-3)+dj*(0)+dk*(1)] + (u)[di*(3)+dj*(0)+dk*(-1)]) + 21504*((u)[di*(-1)+dj*(0)+dk*(-3)] + (u)[di*(1)+dj*(0)+dk*(3)] + (u)[di*(-3)+dj*(0)+dk*(-1)] + (u)[di*(3)+dj*(0)+dk*(1)]) + 5376*((u)[di*(-2)+dj*(0)+dk*(3)] + (u)[di*(2)+dj*(0)+dk*(-3)] + (u)[di*(-3)+dj*(0)+dk*(2)] + (u)[di*(3)+dj*(0)+dk*(-2)]) - 5376*((u)[di*(-2)+dj*(0)+dk*(-3)] + (u)[di*(2)+dj*(0)+dk*(3)] + (u)[di*(-3)+dj*(0)+dk*(-2)] + (u)[di*(3)+dj*(0)+dk*(2)]) - 1024*((u)[di*(-3)+dj*(0)+dk*(3)] + (u)[di*(3)+dj*(0)+dk*(-3)]) + 1024*((u)[di*(-3)+dj*(0)+dk*(-3)] + (u)[di*(3)+dj*(0)+dk*(3)]) + 2016*((u)[di*(-1)+dj*(0)+dk*(4)] + (u)[di*(1)+dj*(0)+dk*(-4)] + (u)[di*(-4)+dj*(0)+dk*(1)] + (u)[di*(4)+dj*(0)+dk*(-1)]) - 2016*((u)[di*(-1)+dj*(0)+dk*(-4)] + (u)[di*(1)+dj*(0)+dk*(4)] + (u)[di*(-4)+dj*(0)+dk*(-1)] + (u)[di*(4)+dj*(0)+dk*(1)]) - 504*((u)[di*(-2)+dj*(0)+dk*(4)] + (u)[di*(2)+dj*(0)+dk*(-4)] + (u)[di*(-4)+dj*(0)+dk*(2)] + (u)[di*(4)+dj*(0)+dk*(-2)]) + 504*((u)[di*(-2)+dj*(0)+dk*(-4)] + (u)[di*(2)+dj*(0)+dk*(4)] + (u)[di*(-4)+dj*(0)+dk*(-2)] + (u)[di*(4)+dj*(0)+dk*(2)]) + 96*((u)[di*(-3)+dj*(0)+dk*(4)] + (u)[di*(3)+dj*(0)+dk*(-4)] + (u)[di*(-4)+dj*(0)+dk*(3)] + (u)[di*(4)+dj*(0)+dk*(-3)]) - 96*((u)[di*(-3)+dj*(0)+dk*(-4)] + (u)[di*(3)+dj*(0)+dk*(4)] + (u)[di*(-4)+dj*(0)+dk*(-3)] + (u)[di*(4)+dj*(0)+dk*(3)]) - 9*((u)[di*(-4)+dj*(0)+dk*(4)] + (u)[di*(4)+dj*(0)+dk*(-4)]) + 9*((u)[di*(-4)+dj*(0)+dk*(-4)] + (u)[di*(4)+dj*(0)+dk*(4)]))) +#define PDstandardNth32(u) (p1o705600dydz*(-451584*((u)[di*(0)+dj*(-1)+dk*(1)] + (u)[di*(0)+dj*(1)+dk*(-1)]) + 451584*((u)[di*(0)+dj*(-1)+dk*(-1)] + (u)[di*(0)+dj*(1)+dk*(1)]) + 112896*((u)[di*(0)+dj*(-1)+dk*(2)] + (u)[di*(0)+dj*(1)+dk*(-2)] + (u)[di*(0)+dj*(-2)+dk*(1)] + (u)[di*(0)+dj*(2)+dk*(-1)]) - 112896*((u)[di*(0)+dj*(-1)+dk*(-2)] + (u)[di*(0)+dj*(1)+dk*(2)] + (u)[di*(0)+dj*(-2)+dk*(-1)] + (u)[di*(0)+dj*(2)+dk*(1)]) - 28224*((u)[di*(0)+dj*(-2)+dk*(2)] + (u)[di*(0)+dj*(2)+dk*(-2)]) + 28224*((u)[di*(0)+dj*(-2)+dk*(-2)] + (u)[di*(0)+dj*(2)+dk*(2)]) - 21504*((u)[di*(0)+dj*(-1)+dk*(3)] + (u)[di*(0)+dj*(1)+dk*(-3)] + (u)[di*(0)+dj*(-3)+dk*(1)] + (u)[di*(0)+dj*(3)+dk*(-1)]) + 21504*((u)[di*(0)+dj*(-1)+dk*(-3)] + (u)[di*(0)+dj*(1)+dk*(3)] + (u)[di*(0)+dj*(-3)+dk*(-1)] + (u)[di*(0)+dj*(3)+dk*(1)]) + 5376*((u)[di*(0)+dj*(-2)+dk*(3)] + (u)[di*(0)+dj*(2)+dk*(-3)] + (u)[di*(0)+dj*(-3)+dk*(2)] + (u)[di*(0)+dj*(3)+dk*(-2)]) - 5376*((u)[di*(0)+dj*(-2)+dk*(-3)] + (u)[di*(0)+dj*(2)+dk*(3)] + (u)[di*(0)+dj*(-3)+dk*(-2)] + (u)[di*(0)+dj*(3)+dk*(2)]) - 1024*((u)[di*(0)+dj*(-3)+dk*(3)] + (u)[di*(0)+dj*(3)+dk*(-3)]) + 1024*((u)[di*(0)+dj*(-3)+dk*(-3)] + (u)[di*(0)+dj*(3)+dk*(3)]) + 2016*((u)[di*(0)+dj*(-1)+dk*(4)] + (u)[di*(0)+dj*(1)+dk*(-4)] + (u)[di*(0)+dj*(-4)+dk*(1)] + (u)[di*(0)+dj*(4)+dk*(-1)]) - 2016*((u)[di*(0)+dj*(-1)+dk*(-4)] + (u)[di*(0)+dj*(1)+dk*(4)] + (u)[di*(0)+dj*(-4)+dk*(-1)] + (u)[di*(0)+dj*(4)+dk*(1)]) - 504*((u)[di*(0)+dj*(-2)+dk*(4)] + (u)[di*(0)+dj*(2)+dk*(-4)] + (u)[di*(0)+dj*(-4)+dk*(2)] + (u)[di*(0)+dj*(4)+dk*(-2)]) + 504*((u)[di*(0)+dj*(-2)+dk*(-4)] + (u)[di*(0)+dj*(2)+dk*(4)] + (u)[di*(0)+dj*(-4)+dk*(-2)] + (u)[di*(0)+dj*(4)+dk*(2)]) + 96*((u)[di*(0)+dj*(-3)+dk*(4)] + (u)[di*(0)+dj*(3)+dk*(-4)] + (u)[di*(0)+dj*(-4)+dk*(3)] + (u)[di*(0)+dj*(4)+dk*(-3)]) - 96*((u)[di*(0)+dj*(-3)+dk*(-4)] + (u)[di*(0)+dj*(3)+dk*(4)] + (u)[di*(0)+dj*(-4)+dk*(-3)] + (u)[di*(0)+dj*(4)+dk*(3)]) - 9*((u)[di*(0)+dj*(-4)+dk*(4)] + (u)[di*(0)+dj*(4)+dk*(-4)]) + 9*((u)[di*(0)+dj*(-4)+dk*(-4)] + (u)[di*(0)+dj*(4)+dk*(4)]))) +#define PDdissipationNth1(u) (p1o1024dx*(-252*(u)[di*(0)+dj*(0)+dk*(0)] + 210*((u)[di*(-1)+dj*(0)+dk*(0)] + (u)[di*(1)+dj*(0)+dk*(0)]) - 120*((u)[di*(-2)+dj*(0)+dk*(0)] + (u)[di*(2)+dj*(0)+dk*(0)]) + 45*((u)[di*(-3)+dj*(0)+dk*(0)] + (u)[di*(3)+dj*(0)+dk*(0)]) - 10*((u)[di*(-4)+dj*(0)+dk*(0)] + (u)[di*(4)+dj*(0)+dk*(0)]) + (u)[di*(-5)+dj*(0)+dk*(0)] + (u)[di*(5)+dj*(0)+dk*(0)])) +#define PDdissipationNth2(u) (p1o1024dy*(-252*(u)[di*(0)+dj*(0)+dk*(0)] + 210*((u)[di*(0)+dj*(-1)+dk*(0)] + (u)[di*(0)+dj*(1)+dk*(0)]) - 120*((u)[di*(0)+dj*(-2)+dk*(0)] + (u)[di*(0)+dj*(2)+dk*(0)]) + 45*((u)[di*(0)+dj*(-3)+dk*(0)] + (u)[di*(0)+dj*(3)+dk*(0)]) - 10*((u)[di*(0)+dj*(-4)+dk*(0)] + (u)[di*(0)+dj*(4)+dk*(0)]) + (u)[di*(0)+dj*(-5)+dk*(0)] + (u)[di*(0)+dj*(5)+dk*(0)])) +#define PDdissipationNth3(u) (p1o1024dz*(-252*(u)[di*(0)+dj*(0)+dk*(0)] + 210*((u)[di*(0)+dj*(0)+dk*(-1)] + (u)[di*(0)+dj*(0)+dk*(1)]) - 120*((u)[di*(0)+dj*(0)+dk*(-2)] + (u)[di*(0)+dj*(0)+dk*(2)]) + 45*((u)[di*(0)+dj*(0)+dk*(-3)] + (u)[di*(0)+dj*(0)+dk*(3)]) - 10*((u)[di*(0)+dj*(0)+dk*(-4)] + (u)[di*(0)+dj*(0)+dk*(4)]) + (u)[di*(0)+dj*(0)+dk*(-5)] + (u)[di*(0)+dj*(0)+dk*(5)])) +#define PDupwindNth1(u) (pm1o840dx*(378*(u)[di*(0)+dj*(0)+dk*(0)] - 60*(u)[di*(-2*dir1)+dj*(0)+dk*(0)] + 5*(u)[di*(-3*dir1)+dj*(0)+dk*(0)] - 140*(u)[di*(3*dir1)+dj*(0)+dk*(0)] + 30*(u)[di*(4*dir1)+dj*(0)+dk*(0)] - 3*(u)[di*(5*dir1)+dj*(0)+dk*(0)] + 420*((u)[di*(2*dir1)+dj*(0)+dk*(0)] + (u)[di*(-dir1)+dj*(0)+dk*(0)]) - 1050*(u)[di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDupwindNth2(u) (pm1o840dy*(378*(u)[di*(0)+dj*(0)+dk*(0)] - 60*(u)[di*(0)+dj*(-2*dir2)+dk*(0)] + 5*(u)[di*(0)+dj*(-3*dir2)+dk*(0)] - 140*(u)[di*(0)+dj*(3*dir2)+dk*(0)] + 30*(u)[di*(0)+dj*(4*dir2)+dk*(0)] - 3*(u)[di*(0)+dj*(5*dir2)+dk*(0)] + 420*((u)[di*(0)+dj*(2*dir2)+dk*(0)] + (u)[di*(0)+dj*(-dir2)+dk*(0)]) - 1050*(u)[di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDupwindNth3(u) (pm1o840dz*(378*(u)[di*(0)+dj*(0)+dk*(0)] - 60*(u)[di*(0)+dj*(0)+dk*(-2*dir3)] + 5*(u)[di*(0)+dj*(0)+dk*(-3*dir3)] - 140*(u)[di*(0)+dj*(0)+dk*(3*dir3)] + 30*(u)[di*(0)+dj*(0)+dk*(4*dir3)] - 3*(u)[di*(0)+dj*(0)+dk*(5*dir3)] + 420*((u)[di*(0)+dj*(0)+dk*(2*dir3)] + (u)[di*(0)+dj*(0)+dk*(-dir3)]) - 1050*(u)[di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDonesided1(u) (p1odx*(-(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(dir1)+dj*(0)+dk*(0)])*dir1) +#define PDonesided2(u) (p1ody*(-(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(0)+dj*(dir2)+dk*(0)])*dir2) +#define PDonesided3(u) (p1odz*(-(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDupwindNthAnti1(u) (p1o1680dx*(-1470*(u)[di*(-1)+dj*(0)+dk*(0)] + 1470*(u)[di*(1)+dj*(0)+dk*(0)] + 480*(u)[di*(-2)+dj*(0)+dk*(0)] - 480*(u)[di*(2)+dj*(0)+dk*(0)] - 145*(u)[di*(-3)+dj*(0)+dk*(0)] + 145*(u)[di*(3)+dj*(0)+dk*(0)] + 30*(u)[di*(-4)+dj*(0)+dk*(0)] - 30*(u)[di*(4)+dj*(0)+dk*(0)] - 3*(u)[di*(-5)+dj*(0)+dk*(0)] + 3*(u)[di*(5)+dj*(0)+dk*(0)])) +#define PDupwindNthSymm1(u) (p1o560dx*(-252*(u)[di*(0)+dj*(0)+dk*(0)] + 210*((u)[di*(-1)+dj*(0)+dk*(0)] + (u)[di*(1)+dj*(0)+dk*(0)]) - 120*((u)[di*(-2)+dj*(0)+dk*(0)] + (u)[di*(2)+dj*(0)+dk*(0)]) + 45*((u)[di*(-3)+dj*(0)+dk*(0)] + (u)[di*(3)+dj*(0)+dk*(0)]) - 10*((u)[di*(-4)+dj*(0)+dk*(0)] + (u)[di*(4)+dj*(0)+dk*(0)]) + (u)[di*(-5)+dj*(0)+dk*(0)] + (u)[di*(5)+dj*(0)+dk*(0)])) +#define PDupwindNthAnti2(u) (p1o1680dy*(-1470*(u)[di*(0)+dj*(-1)+dk*(0)] + 1470*(u)[di*(0)+dj*(1)+dk*(0)] + 480*(u)[di*(0)+dj*(-2)+dk*(0)] - 480*(u)[di*(0)+dj*(2)+dk*(0)] - 145*(u)[di*(0)+dj*(-3)+dk*(0)] + 145*(u)[di*(0)+dj*(3)+dk*(0)] + 30*(u)[di*(0)+dj*(-4)+dk*(0)] - 30*(u)[di*(0)+dj*(4)+dk*(0)] - 3*(u)[di*(0)+dj*(-5)+dk*(0)] + 3*(u)[di*(0)+dj*(5)+dk*(0)])) +#define PDupwindNthSymm2(u) (p1o560dy*(-252*(u)[di*(0)+dj*(0)+dk*(0)] + 210*((u)[di*(0)+dj*(-1)+dk*(0)] + (u)[di*(0)+dj*(1)+dk*(0)]) - 120*((u)[di*(0)+dj*(-2)+dk*(0)] + (u)[di*(0)+dj*(2)+dk*(0)]) + 45*((u)[di*(0)+dj*(-3)+dk*(0)] + (u)[di*(0)+dj*(3)+dk*(0)]) - 10*((u)[di*(0)+dj*(-4)+dk*(0)] + (u)[di*(0)+dj*(4)+dk*(0)]) + (u)[di*(0)+dj*(-5)+dk*(0)] + (u)[di*(0)+dj*(5)+dk*(0)])) +#define PDupwindNthAnti3(u) (p1o1680dz*(-1470*(u)[di*(0)+dj*(0)+dk*(-1)] + 1470*(u)[di*(0)+dj*(0)+dk*(1)] + 480*(u)[di*(0)+dj*(0)+dk*(-2)] - 480*(u)[di*(0)+dj*(0)+dk*(2)] - 145*(u)[di*(0)+dj*(0)+dk*(-3)] + 145*(u)[di*(0)+dj*(0)+dk*(3)] + 30*(u)[di*(0)+dj*(0)+dk*(-4)] - 30*(u)[di*(0)+dj*(0)+dk*(4)] - 3*(u)[di*(0)+dj*(0)+dk*(-5)] + 3*(u)[di*(0)+dj*(0)+dk*(5)])) +#define PDupwindNthSymm3(u) (p1o560dz*(-252*(u)[di*(0)+dj*(0)+dk*(0)] + 210*((u)[di*(0)+dj*(0)+dk*(-1)] + (u)[di*(0)+dj*(0)+dk*(1)]) - 120*((u)[di*(0)+dj*(0)+dk*(-2)] + (u)[di*(0)+dj*(0)+dk*(2)]) + 45*((u)[di*(0)+dj*(0)+dk*(-3)] + (u)[di*(0)+dj*(0)+dk*(3)]) - 10*((u)[di*(0)+dj*(0)+dk*(-4)] + (u)[di*(0)+dj*(0)+dk*(4)]) + (u)[di*(0)+dj*(0)+dk*(-5)] + (u)[di*(0)+dj*(0)+dk*(5)])) diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_Minkowski.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_Minkowski.c deleted file mode 100644 index 1e7301f..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_Minkowski.c +++ /dev/null @@ -1,192 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_Minkowski_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_Minkowski_calc_every != ML_BSSN_MP_O8_Minkowski_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_Minkowski, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL phiL = IfThen(conformalMethod,1,0); - - CCTK_REAL gt11L = 1; - - CCTK_REAL gt12L = 0; - - CCTK_REAL gt13L = 0; - - CCTK_REAL gt22L = 1; - - CCTK_REAL gt23L = 0; - - CCTK_REAL gt33L = 1; - - CCTK_REAL trKL = 0; - - CCTK_REAL At11L = 0; - - CCTK_REAL At12L = 0; - - CCTK_REAL At13L = 0; - - CCTK_REAL At22L = 0; - - CCTK_REAL At23L = 0; - - CCTK_REAL At33L = 0; - - CCTK_REAL Xt1L = 0; - - CCTK_REAL Xt2L = 0; - - CCTK_REAL Xt3L = 0; - - CCTK_REAL alphaL = 1; - - CCTK_REAL AL = 0; - - CCTK_REAL beta1L = 0; - - CCTK_REAL beta2L = 0; - - CCTK_REAL beta3L = 0; - - CCTK_REAL B1L = 0; - - CCTK_REAL B2L = 0; - - CCTK_REAL B3L = 0; - - - /* Copy local copies back to grid functions */ - A[index] = AL; - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_Minkowski); -} - -void ML_BSSN_MP_O8_Minkowski(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_MP_O8_Minkowski_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHS1.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHS1.c deleted file mode 100644 index d30f8f7..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHS1.c +++ /dev/null @@ -1,1600 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_RHS1_SelectBCs(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_dtlapserhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_dtlapserhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_dtshiftrhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_dtshiftrhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_Gammarhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_Gammarhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_lapserhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_lapserhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_log_confacrhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_log_confacrhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_metricrhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_metricrhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_shiftrhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_shiftrhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_trace_curvrhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_trace_curvrhs."); - return; -} - -void ML_BSSN_MP_O8_RHS1_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_RHS1_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_RHS1_calc_every != ML_BSSN_MP_O8_RHS1_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_RHS1, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDdissipationNth1A = INITVALUE; - // CCTK_REAL PDdissipationNth2A = INITVALUE; - // CCTK_REAL PDdissipationNth3A = INITVALUE; - // CCTK_REAL PDupwindNthAnti1A = INITVALUE; - // CCTK_REAL PDupwindNthSymm1A = INITVALUE; - // CCTK_REAL PDupwindNthAnti2A = INITVALUE; - // CCTK_REAL PDupwindNthSymm2A = INITVALUE; - // CCTK_REAL PDupwindNthAnti3A = INITVALUE; - // CCTK_REAL PDupwindNthSymm3A = INITVALUE; - // CCTK_REAL PDstandardNth1alpha = INITVALUE; - // CCTK_REAL PDstandardNth2alpha = INITVALUE; - // CCTK_REAL PDstandardNth3alpha = INITVALUE; - // CCTK_REAL PDstandardNth11alpha = INITVALUE; - // CCTK_REAL PDstandardNth22alpha = INITVALUE; - // CCTK_REAL PDstandardNth33alpha = INITVALUE; - // CCTK_REAL PDstandardNth12alpha = INITVALUE; - // CCTK_REAL PDstandardNth13alpha = INITVALUE; - // CCTK_REAL PDstandardNth23alpha = INITVALUE; - // CCTK_REAL PDdissipationNth1alpha = INITVALUE; - // CCTK_REAL PDdissipationNth2alpha = INITVALUE; - // CCTK_REAL PDdissipationNth3alpha = INITVALUE; - // CCTK_REAL PDupwindNthAnti1alpha = INITVALUE; - // CCTK_REAL PDupwindNthSymm1alpha = INITVALUE; - // CCTK_REAL PDupwindNthAnti2alpha = INITVALUE; - // CCTK_REAL PDupwindNthSymm2alpha = INITVALUE; - // CCTK_REAL PDupwindNthAnti3alpha = INITVALUE; - // CCTK_REAL PDupwindNthSymm3alpha = INITVALUE; - // CCTK_REAL PDdissipationNth1B1 = INITVALUE; - // CCTK_REAL PDdissipationNth2B1 = INITVALUE; - // CCTK_REAL PDdissipationNth3B1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1B1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1B1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2B1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2B1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3B1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3B1 = INITVALUE; - // CCTK_REAL PDdissipationNth1B2 = INITVALUE; - // CCTK_REAL PDdissipationNth2B2 = INITVALUE; - // CCTK_REAL PDdissipationNth3B2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1B2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1B2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2B2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2B2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3B2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3B2 = INITVALUE; - // CCTK_REAL PDdissipationNth1B3 = INITVALUE; - // CCTK_REAL PDdissipationNth2B3 = INITVALUE; - // CCTK_REAL PDdissipationNth3B3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1B3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1B3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2B3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2B3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3B3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3B3 = INITVALUE; - // CCTK_REAL PDstandardNth1beta1 = INITVALUE; - // CCTK_REAL PDstandardNth2beta1 = INITVALUE; - // CCTK_REAL PDstandardNth3beta1 = INITVALUE; - // CCTK_REAL PDstandardNth11beta1 = INITVALUE; - // CCTK_REAL PDstandardNth22beta1 = INITVALUE; - // CCTK_REAL PDstandardNth33beta1 = INITVALUE; - // CCTK_REAL PDstandardNth12beta1 = INITVALUE; - // CCTK_REAL PDstandardNth13beta1 = INITVALUE; - // CCTK_REAL PDstandardNth23beta1 = INITVALUE; - // CCTK_REAL PDdissipationNth1beta1 = INITVALUE; - // CCTK_REAL PDdissipationNth2beta1 = INITVALUE; - // CCTK_REAL PDdissipationNth3beta1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1beta1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1beta1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2beta1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2beta1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3beta1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3beta1 = INITVALUE; - // CCTK_REAL PDstandardNth1beta2 = INITVALUE; - // CCTK_REAL PDstandardNth2beta2 = INITVALUE; - // CCTK_REAL PDstandardNth3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth11beta2 = INITVALUE; - // CCTK_REAL PDstandardNth22beta2 = INITVALUE; - // CCTK_REAL PDstandardNth33beta2 = INITVALUE; - // CCTK_REAL PDstandardNth12beta2 = INITVALUE; - // CCTK_REAL PDstandardNth13beta2 = INITVALUE; - // CCTK_REAL PDstandardNth23beta2 = INITVALUE; - // CCTK_REAL PDdissipationNth1beta2 = INITVALUE; - // CCTK_REAL PDdissipationNth2beta2 = INITVALUE; - // CCTK_REAL PDdissipationNth3beta2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1beta2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1beta2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2beta2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2beta2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3beta2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth1beta3 = INITVALUE; - // CCTK_REAL PDstandardNth2beta3 = INITVALUE; - // CCTK_REAL PDstandardNth3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth11beta3 = INITVALUE; - // CCTK_REAL PDstandardNth22beta3 = INITVALUE; - // CCTK_REAL PDstandardNth33beta3 = INITVALUE; - // CCTK_REAL PDstandardNth12beta3 = INITVALUE; - // CCTK_REAL PDstandardNth13beta3 = INITVALUE; - // CCTK_REAL PDstandardNth23beta3 = INITVALUE; - // CCTK_REAL PDdissipationNth1beta3 = INITVALUE; - // CCTK_REAL PDdissipationNth2beta3 = INITVALUE; - // CCTK_REAL PDdissipationNth3beta3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1beta3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1beta3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2beta3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2beta3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3beta3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDdissipationNth1gt11 = INITVALUE; - // CCTK_REAL PDdissipationNth2gt11 = INITVALUE; - // CCTK_REAL PDdissipationNth3gt11 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1gt11 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1gt11 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2gt11 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2gt11 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3gt11 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDdissipationNth1gt12 = INITVALUE; - // CCTK_REAL PDdissipationNth2gt12 = INITVALUE; - // CCTK_REAL PDdissipationNth3gt12 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1gt12 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1gt12 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2gt12 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2gt12 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3gt12 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDdissipationNth1gt13 = INITVALUE; - // CCTK_REAL PDdissipationNth2gt13 = INITVALUE; - // CCTK_REAL PDdissipationNth3gt13 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1gt13 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1gt13 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2gt13 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2gt13 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3gt13 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDdissipationNth1gt22 = INITVALUE; - // CCTK_REAL PDdissipationNth2gt22 = INITVALUE; - // CCTK_REAL PDdissipationNth3gt22 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1gt22 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1gt22 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2gt22 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2gt22 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3gt22 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDdissipationNth1gt23 = INITVALUE; - // CCTK_REAL PDdissipationNth2gt23 = INITVALUE; - // CCTK_REAL PDdissipationNth3gt23 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1gt23 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1gt23 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2gt23 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2gt23 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3gt23 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDdissipationNth1gt33 = INITVALUE; - // CCTK_REAL PDdissipationNth2gt33 = INITVALUE; - // CCTK_REAL PDdissipationNth3gt33 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1gt33 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1gt33 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2gt33 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2gt33 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3gt33 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDdissipationNth1phi = INITVALUE; - // CCTK_REAL PDdissipationNth2phi = INITVALUE; - // CCTK_REAL PDdissipationNth3phi = INITVALUE; - // CCTK_REAL PDupwindNthAnti1phi = INITVALUE; - // CCTK_REAL PDupwindNthSymm1phi = INITVALUE; - // CCTK_REAL PDupwindNthAnti2phi = INITVALUE; - // CCTK_REAL PDupwindNthSymm2phi = INITVALUE; - // CCTK_REAL PDupwindNthAnti3phi = INITVALUE; - // CCTK_REAL PDupwindNthSymm3phi = INITVALUE; - // CCTK_REAL PDstandardNth1trK = INITVALUE; - // CCTK_REAL PDstandardNth2trK = INITVALUE; - // CCTK_REAL PDstandardNth3trK = INITVALUE; - // CCTK_REAL PDdissipationNth1trK = INITVALUE; - // CCTK_REAL PDdissipationNth2trK = INITVALUE; - // CCTK_REAL PDdissipationNth3trK = INITVALUE; - // CCTK_REAL PDupwindNthAnti1trK = INITVALUE; - // CCTK_REAL PDupwindNthSymm1trK = INITVALUE; - // CCTK_REAL PDupwindNthAnti2trK = INITVALUE; - // CCTK_REAL PDupwindNthSymm2trK = INITVALUE; - // CCTK_REAL PDupwindNthAnti3trK = INITVALUE; - // CCTK_REAL PDupwindNthSymm3trK = INITVALUE; - // CCTK_REAL PDdissipationNth1Xt1 = INITVALUE; - // CCTK_REAL PDdissipationNth2Xt1 = INITVALUE; - // CCTK_REAL PDdissipationNth3Xt1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1Xt1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1Xt1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2Xt1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2Xt1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3Xt1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3Xt1 = INITVALUE; - // CCTK_REAL PDdissipationNth1Xt2 = INITVALUE; - // CCTK_REAL PDdissipationNth2Xt2 = INITVALUE; - // CCTK_REAL PDdissipationNth3Xt2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1Xt2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1Xt2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2Xt2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2Xt2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3Xt2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3Xt2 = INITVALUE; - // CCTK_REAL PDdissipationNth1Xt3 = INITVALUE; - // CCTK_REAL PDdissipationNth2Xt3 = INITVALUE; - // CCTK_REAL PDdissipationNth3Xt3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1Xt3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1Xt3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2Xt3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2Xt3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3Xt3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3Xt3 = INITVALUE; - - /* Assign local copies of grid functions */ - CCTK_REAL AL = A[index]; - CCTK_REAL alphaL = alpha[index]; - CCTK_REAL At11L = At11[index]; - CCTK_REAL At12L = At12[index]; - CCTK_REAL At13L = At13[index]; - CCTK_REAL At22L = At22[index]; - CCTK_REAL At23L = At23[index]; - CCTK_REAL At33L = At33[index]; - CCTK_REAL B1L = B1[index]; - CCTK_REAL B2L = B2[index]; - CCTK_REAL B3L = B3[index]; - CCTK_REAL beta1L = beta1[index]; - CCTK_REAL beta2L = beta2[index]; - CCTK_REAL beta3L = beta3[index]; - CCTK_REAL dJ111L = dJ111[index]; - CCTK_REAL dJ112L = dJ112[index]; - CCTK_REAL dJ113L = dJ113[index]; - CCTK_REAL dJ122L = dJ122[index]; - CCTK_REAL dJ123L = dJ123[index]; - CCTK_REAL dJ133L = dJ133[index]; - CCTK_REAL dJ211L = dJ211[index]; - CCTK_REAL dJ212L = dJ212[index]; - CCTK_REAL dJ213L = dJ213[index]; - CCTK_REAL dJ222L = dJ222[index]; - CCTK_REAL dJ223L = dJ223[index]; - CCTK_REAL dJ233L = dJ233[index]; - CCTK_REAL dJ311L = dJ311[index]; - CCTK_REAL dJ312L = dJ312[index]; - CCTK_REAL dJ313L = dJ313[index]; - CCTK_REAL dJ322L = dJ322[index]; - CCTK_REAL dJ323L = dJ323[index]; - CCTK_REAL dJ333L = dJ333[index]; - CCTK_REAL eTttL = (*stress_energy_state) ? (eTtt[index]) : 0.0; - CCTK_REAL eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; - CCTK_REAL eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; - CCTK_REAL eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; - CCTK_REAL eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; - CCTK_REAL eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; - CCTK_REAL eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; - CCTK_REAL eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; - CCTK_REAL eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; - CCTK_REAL eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; - CCTK_REAL gt11L = gt11[index]; - CCTK_REAL gt12L = gt12[index]; - CCTK_REAL gt13L = gt13[index]; - CCTK_REAL gt22L = gt22[index]; - CCTK_REAL gt23L = gt23[index]; - CCTK_REAL gt33L = gt33[index]; - CCTK_REAL J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[index]; - CCTK_REAL phiL = phi[index]; - CCTK_REAL rL = r[index]; - CCTK_REAL trKL = trK[index]; - CCTK_REAL Xt1L = Xt1[index]; - CCTK_REAL Xt2L = Xt2[index]; - CCTK_REAL Xt3L = Xt3[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - CCTK_REAL const PDdissipationNth1A = PDdissipationNth1(A, i, j, k); - CCTK_REAL const PDdissipationNth2A = PDdissipationNth2(A, i, j, k); - CCTK_REAL const PDdissipationNth3A = PDdissipationNth3(A, i, j, k); - CCTK_REAL const PDupwindNthAnti1A = PDupwindNthAnti1(A, i, j, k); - CCTK_REAL const PDupwindNthSymm1A = PDupwindNthSymm1(A, i, j, k); - CCTK_REAL const PDupwindNthAnti2A = PDupwindNthAnti2(A, i, j, k); - CCTK_REAL const PDupwindNthSymm2A = PDupwindNthSymm2(A, i, j, k); - CCTK_REAL const PDupwindNthAnti3A = PDupwindNthAnti3(A, i, j, k); - CCTK_REAL const PDupwindNthSymm3A = PDupwindNthSymm3(A, i, j, k); - CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); - CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); - CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); - CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - CCTK_REAL const PDdissipationNth1alpha = PDdissipationNth1(alpha, i, j, k); - CCTK_REAL const PDdissipationNth2alpha = PDdissipationNth2(alpha, i, j, k); - CCTK_REAL const PDdissipationNth3alpha = PDdissipationNth3(alpha, i, j, k); - CCTK_REAL const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); - CCTK_REAL const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); - CCTK_REAL const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); - CCTK_REAL const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); - CCTK_REAL const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); - CCTK_REAL const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); - CCTK_REAL const PDdissipationNth1B1 = PDdissipationNth1(B1, i, j, k); - CCTK_REAL const PDdissipationNth2B1 = PDdissipationNth2(B1, i, j, k); - CCTK_REAL const PDdissipationNth3B1 = PDdissipationNth3(B1, i, j, k); - CCTK_REAL const PDupwindNthAnti1B1 = PDupwindNthAnti1(B1, i, j, k); - CCTK_REAL const PDupwindNthSymm1B1 = PDupwindNthSymm1(B1, i, j, k); - CCTK_REAL const PDupwindNthAnti2B1 = PDupwindNthAnti2(B1, i, j, k); - CCTK_REAL const PDupwindNthSymm2B1 = PDupwindNthSymm2(B1, i, j, k); - CCTK_REAL const PDupwindNthAnti3B1 = PDupwindNthAnti3(B1, i, j, k); - CCTK_REAL const PDupwindNthSymm3B1 = PDupwindNthSymm3(B1, i, j, k); - CCTK_REAL const PDdissipationNth1B2 = PDdissipationNth1(B2, i, j, k); - CCTK_REAL const PDdissipationNth2B2 = PDdissipationNth2(B2, i, j, k); - CCTK_REAL const PDdissipationNth3B2 = PDdissipationNth3(B2, i, j, k); - CCTK_REAL const PDupwindNthAnti1B2 = PDupwindNthAnti1(B2, i, j, k); - CCTK_REAL const PDupwindNthSymm1B2 = PDupwindNthSymm1(B2, i, j, k); - CCTK_REAL const PDupwindNthAnti2B2 = PDupwindNthAnti2(B2, i, j, k); - CCTK_REAL const PDupwindNthSymm2B2 = PDupwindNthSymm2(B2, i, j, k); - CCTK_REAL const PDupwindNthAnti3B2 = PDupwindNthAnti3(B2, i, j, k); - CCTK_REAL const PDupwindNthSymm3B2 = PDupwindNthSymm3(B2, i, j, k); - CCTK_REAL const PDdissipationNth1B3 = PDdissipationNth1(B3, i, j, k); - CCTK_REAL const PDdissipationNth2B3 = PDdissipationNth2(B3, i, j, k); - CCTK_REAL const PDdissipationNth3B3 = PDdissipationNth3(B3, i, j, k); - CCTK_REAL const PDupwindNthAnti1B3 = PDupwindNthAnti1(B3, i, j, k); - CCTK_REAL const PDupwindNthSymm1B3 = PDupwindNthSymm1(B3, i, j, k); - CCTK_REAL const PDupwindNthAnti2B3 = PDupwindNthAnti2(B3, i, j, k); - CCTK_REAL const PDupwindNthSymm2B3 = PDupwindNthSymm2(B3, i, j, k); - CCTK_REAL const PDupwindNthAnti3B3 = PDupwindNthAnti3(B3, i, j, k); - CCTK_REAL const PDupwindNthSymm3B3 = PDupwindNthSymm3(B3, i, j, k); - CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - CCTK_REAL const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); - CCTK_REAL const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); - CCTK_REAL const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); - CCTK_REAL const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); - CCTK_REAL const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); - CCTK_REAL const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); - CCTK_REAL const PDdissipationNth1beta1 = PDdissipationNth1(beta1, i, j, k); - CCTK_REAL const PDdissipationNth2beta1 = PDdissipationNth2(beta1, i, j, k); - CCTK_REAL const PDdissipationNth3beta1 = PDdissipationNth3(beta1, i, j, k); - CCTK_REAL const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); - CCTK_REAL const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); - CCTK_REAL const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); - CCTK_REAL const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); - CCTK_REAL const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); - CCTK_REAL const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); - CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - CCTK_REAL const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); - CCTK_REAL const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); - CCTK_REAL const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); - CCTK_REAL const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); - CCTK_REAL const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); - CCTK_REAL const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); - CCTK_REAL const PDdissipationNth1beta2 = PDdissipationNth1(beta2, i, j, k); - CCTK_REAL const PDdissipationNth2beta2 = PDdissipationNth2(beta2, i, j, k); - CCTK_REAL const PDdissipationNth3beta2 = PDdissipationNth3(beta2, i, j, k); - CCTK_REAL const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); - CCTK_REAL const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); - CCTK_REAL const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); - CCTK_REAL const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); - CCTK_REAL const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); - CCTK_REAL const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); - CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - CCTK_REAL const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); - CCTK_REAL const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); - CCTK_REAL const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); - CCTK_REAL const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); - CCTK_REAL const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); - CCTK_REAL const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); - CCTK_REAL const PDdissipationNth1beta3 = PDdissipationNth1(beta3, i, j, k); - CCTK_REAL const PDdissipationNth2beta3 = PDdissipationNth2(beta3, i, j, k); - CCTK_REAL const PDdissipationNth3beta3 = PDdissipationNth3(beta3, i, j, k); - CCTK_REAL const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); - CCTK_REAL const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); - CCTK_REAL const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); - CCTK_REAL const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); - CCTK_REAL const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); - CCTK_REAL const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); - CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - CCTK_REAL const PDdissipationNth1gt11 = PDdissipationNth1(gt11, i, j, k); - CCTK_REAL const PDdissipationNth2gt11 = PDdissipationNth2(gt11, i, j, k); - CCTK_REAL const PDdissipationNth3gt11 = PDdissipationNth3(gt11, i, j, k); - CCTK_REAL const PDupwindNthAnti1gt11 = PDupwindNthAnti1(gt11, i, j, k); - CCTK_REAL const PDupwindNthSymm1gt11 = PDupwindNthSymm1(gt11, i, j, k); - CCTK_REAL const PDupwindNthAnti2gt11 = PDupwindNthAnti2(gt11, i, j, k); - CCTK_REAL const PDupwindNthSymm2gt11 = PDupwindNthSymm2(gt11, i, j, k); - CCTK_REAL const PDupwindNthAnti3gt11 = PDupwindNthAnti3(gt11, i, j, k); - CCTK_REAL const PDupwindNthSymm3gt11 = PDupwindNthSymm3(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDdissipationNth1gt12 = PDdissipationNth1(gt12, i, j, k); - CCTK_REAL const PDdissipationNth2gt12 = PDdissipationNth2(gt12, i, j, k); - CCTK_REAL const PDdissipationNth3gt12 = PDdissipationNth3(gt12, i, j, k); - CCTK_REAL const PDupwindNthAnti1gt12 = PDupwindNthAnti1(gt12, i, j, k); - CCTK_REAL const PDupwindNthSymm1gt12 = PDupwindNthSymm1(gt12, i, j, k); - CCTK_REAL const PDupwindNthAnti2gt12 = PDupwindNthAnti2(gt12, i, j, k); - CCTK_REAL const PDupwindNthSymm2gt12 = PDupwindNthSymm2(gt12, i, j, k); - CCTK_REAL const PDupwindNthAnti3gt12 = PDupwindNthAnti3(gt12, i, j, k); - CCTK_REAL const PDupwindNthSymm3gt12 = PDupwindNthSymm3(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDdissipationNth1gt13 = PDdissipationNth1(gt13, i, j, k); - CCTK_REAL const PDdissipationNth2gt13 = PDdissipationNth2(gt13, i, j, k); - CCTK_REAL const PDdissipationNth3gt13 = PDdissipationNth3(gt13, i, j, k); - CCTK_REAL const PDupwindNthAnti1gt13 = PDupwindNthAnti1(gt13, i, j, k); - CCTK_REAL const PDupwindNthSymm1gt13 = PDupwindNthSymm1(gt13, i, j, k); - CCTK_REAL const PDupwindNthAnti2gt13 = PDupwindNthAnti2(gt13, i, j, k); - CCTK_REAL const PDupwindNthSymm2gt13 = PDupwindNthSymm2(gt13, i, j, k); - CCTK_REAL const PDupwindNthAnti3gt13 = PDupwindNthAnti3(gt13, i, j, k); - CCTK_REAL const PDupwindNthSymm3gt13 = PDupwindNthSymm3(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDdissipationNth1gt22 = PDdissipationNth1(gt22, i, j, k); - CCTK_REAL const PDdissipationNth2gt22 = PDdissipationNth2(gt22, i, j, k); - CCTK_REAL const PDdissipationNth3gt22 = PDdissipationNth3(gt22, i, j, k); - CCTK_REAL const PDupwindNthAnti1gt22 = PDupwindNthAnti1(gt22, i, j, k); - CCTK_REAL const PDupwindNthSymm1gt22 = PDupwindNthSymm1(gt22, i, j, k); - CCTK_REAL const PDupwindNthAnti2gt22 = PDupwindNthAnti2(gt22, i, j, k); - CCTK_REAL const PDupwindNthSymm2gt22 = PDupwindNthSymm2(gt22, i, j, k); - CCTK_REAL const PDupwindNthAnti3gt22 = PDupwindNthAnti3(gt22, i, j, k); - CCTK_REAL const PDupwindNthSymm3gt22 = PDupwindNthSymm3(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDdissipationNth1gt23 = PDdissipationNth1(gt23, i, j, k); - CCTK_REAL const PDdissipationNth2gt23 = PDdissipationNth2(gt23, i, j, k); - CCTK_REAL const PDdissipationNth3gt23 = PDdissipationNth3(gt23, i, j, k); - CCTK_REAL const PDupwindNthAnti1gt23 = PDupwindNthAnti1(gt23, i, j, k); - CCTK_REAL const PDupwindNthSymm1gt23 = PDupwindNthSymm1(gt23, i, j, k); - CCTK_REAL const PDupwindNthAnti2gt23 = PDupwindNthAnti2(gt23, i, j, k); - CCTK_REAL const PDupwindNthSymm2gt23 = PDupwindNthSymm2(gt23, i, j, k); - CCTK_REAL const PDupwindNthAnti3gt23 = PDupwindNthAnti3(gt23, i, j, k); - CCTK_REAL const PDupwindNthSymm3gt23 = PDupwindNthSymm3(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDdissipationNth1gt33 = PDdissipationNth1(gt33, i, j, k); - CCTK_REAL const PDdissipationNth2gt33 = PDdissipationNth2(gt33, i, j, k); - CCTK_REAL const PDdissipationNth3gt33 = PDdissipationNth3(gt33, i, j, k); - CCTK_REAL const PDupwindNthAnti1gt33 = PDupwindNthAnti1(gt33, i, j, k); - CCTK_REAL const PDupwindNthSymm1gt33 = PDupwindNthSymm1(gt33, i, j, k); - CCTK_REAL const PDupwindNthAnti2gt33 = PDupwindNthAnti2(gt33, i, j, k); - CCTK_REAL const PDupwindNthSymm2gt33 = PDupwindNthSymm2(gt33, i, j, k); - CCTK_REAL const PDupwindNthAnti3gt33 = PDupwindNthAnti3(gt33, i, j, k); - CCTK_REAL const PDupwindNthSymm3gt33 = PDupwindNthSymm3(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDdissipationNth1phi = PDdissipationNth1(phi, i, j, k); - CCTK_REAL const PDdissipationNth2phi = PDdissipationNth2(phi, i, j, k); - CCTK_REAL const PDdissipationNth3phi = PDdissipationNth3(phi, i, j, k); - CCTK_REAL const PDupwindNthAnti1phi = PDupwindNthAnti1(phi, i, j, k); - CCTK_REAL const PDupwindNthSymm1phi = PDupwindNthSymm1(phi, i, j, k); - CCTK_REAL const PDupwindNthAnti2phi = PDupwindNthAnti2(phi, i, j, k); - CCTK_REAL const PDupwindNthSymm2phi = PDupwindNthSymm2(phi, i, j, k); - CCTK_REAL const PDupwindNthAnti3phi = PDupwindNthAnti3(phi, i, j, k); - CCTK_REAL const PDupwindNthSymm3phi = PDupwindNthSymm3(phi, i, j, k); - CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - CCTK_REAL const PDdissipationNth1trK = PDdissipationNth1(trK, i, j, k); - CCTK_REAL const PDdissipationNth2trK = PDdissipationNth2(trK, i, j, k); - CCTK_REAL const PDdissipationNth3trK = PDdissipationNth3(trK, i, j, k); - CCTK_REAL const PDupwindNthAnti1trK = PDupwindNthAnti1(trK, i, j, k); - CCTK_REAL const PDupwindNthSymm1trK = PDupwindNthSymm1(trK, i, j, k); - CCTK_REAL const PDupwindNthAnti2trK = PDupwindNthAnti2(trK, i, j, k); - CCTK_REAL const PDupwindNthSymm2trK = PDupwindNthSymm2(trK, i, j, k); - CCTK_REAL const PDupwindNthAnti3trK = PDupwindNthAnti3(trK, i, j, k); - CCTK_REAL const PDupwindNthSymm3trK = PDupwindNthSymm3(trK, i, j, k); - CCTK_REAL const PDdissipationNth1Xt1 = PDdissipationNth1(Xt1, i, j, k); - CCTK_REAL const PDdissipationNth2Xt1 = PDdissipationNth2(Xt1, i, j, k); - CCTK_REAL const PDdissipationNth3Xt1 = PDdissipationNth3(Xt1, i, j, k); - CCTK_REAL const PDupwindNthAnti1Xt1 = PDupwindNthAnti1(Xt1, i, j, k); - CCTK_REAL const PDupwindNthSymm1Xt1 = PDupwindNthSymm1(Xt1, i, j, k); - CCTK_REAL const PDupwindNthAnti2Xt1 = PDupwindNthAnti2(Xt1, i, j, k); - CCTK_REAL const PDupwindNthSymm2Xt1 = PDupwindNthSymm2(Xt1, i, j, k); - CCTK_REAL const PDupwindNthAnti3Xt1 = PDupwindNthAnti3(Xt1, i, j, k); - CCTK_REAL const PDupwindNthSymm3Xt1 = PDupwindNthSymm3(Xt1, i, j, k); - CCTK_REAL const PDdissipationNth1Xt2 = PDdissipationNth1(Xt2, i, j, k); - CCTK_REAL const PDdissipationNth2Xt2 = PDdissipationNth2(Xt2, i, j, k); - CCTK_REAL const PDdissipationNth3Xt2 = PDdissipationNth3(Xt2, i, j, k); - CCTK_REAL const PDupwindNthAnti1Xt2 = PDupwindNthAnti1(Xt2, i, j, k); - CCTK_REAL const PDupwindNthSymm1Xt2 = PDupwindNthSymm1(Xt2, i, j, k); - CCTK_REAL const PDupwindNthAnti2Xt2 = PDupwindNthAnti2(Xt2, i, j, k); - CCTK_REAL const PDupwindNthSymm2Xt2 = PDupwindNthSymm2(Xt2, i, j, k); - CCTK_REAL const PDupwindNthAnti3Xt2 = PDupwindNthAnti3(Xt2, i, j, k); - CCTK_REAL const PDupwindNthSymm3Xt2 = PDupwindNthSymm3(Xt2, i, j, k); - CCTK_REAL const PDdissipationNth1Xt3 = PDdissipationNth1(Xt3, i, j, k); - CCTK_REAL const PDdissipationNth2Xt3 = PDdissipationNth2(Xt3, i, j, k); - CCTK_REAL const PDdissipationNth3Xt3 = PDdissipationNth3(Xt3, i, j, k); - CCTK_REAL const PDupwindNthAnti1Xt3 = PDupwindNthAnti1(Xt3, i, j, k); - CCTK_REAL const PDupwindNthSymm1Xt3 = PDupwindNthSymm1(Xt3, i, j, k); - CCTK_REAL const PDupwindNthAnti2Xt3 = PDupwindNthAnti2(Xt3, i, j, k); - CCTK_REAL const PDupwindNthSymm2Xt3 = PDupwindNthSymm2(Xt3, i, j, k); - CCTK_REAL const PDupwindNthAnti3Xt3 = PDupwindNthAnti3(Xt3, i, j, k); - CCTK_REAL const PDupwindNthSymm3Xt3 = PDupwindNthSymm3(Xt3, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL epsdiss1 = EpsDiss; - - CCTK_REAL epsdiss2 = EpsDiss; - - CCTK_REAL epsdiss3 = EpsDiss; - - CCTK_REAL detgt = 1; - - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL gtu12 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL gtu13 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL gtu23 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - CCTK_REAL Gtl111 = khalf*(J11L*PDstandardNth1gt11 + - J21L*PDstandardNth2gt11 + J31L*PDstandardNth3gt11); - - CCTK_REAL Gtl112 = khalf*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11); - - CCTK_REAL Gtl113 = khalf*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11); - - CCTK_REAL Gtl122 = J12L*PDstandardNth1gt12 - - J11L*khalf*PDstandardNth1gt22 + J22L*PDstandardNth2gt12 - - J21L*khalf*PDstandardNth2gt22 + J32L*PDstandardNth3gt12 - - J31L*khalf*PDstandardNth3gt22; - - CCTK_REAL Gtl123 = khalf*(J13L*PDstandardNth1gt12 + - J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl133 = J13L*PDstandardNth1gt13 - - J11L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt13 - - J21L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt13 - - J31L*khalf*PDstandardNth3gt33; - - CCTK_REAL Gtl211 = -(J12L*khalf*PDstandardNth1gt11) + - J11L*PDstandardNth1gt12 - J22L*khalf*PDstandardNth2gt11 + - J21L*PDstandardNth2gt12 - J32L*khalf*PDstandardNth3gt11 + - J31L*PDstandardNth3gt12; - - CCTK_REAL Gtl212 = khalf*(J11L*PDstandardNth1gt22 + - J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22); - - CCTK_REAL Gtl213 = khalf*(J13L*PDstandardNth1gt12 - - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl222 = khalf*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22); - - CCTK_REAL Gtl223 = khalf*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22); - - CCTK_REAL Gtl233 = J13L*PDstandardNth1gt23 - - J12L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt23 - - J22L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt23 - - J32L*khalf*PDstandardNth3gt33; - - CCTK_REAL Gtl311 = -(J13L*khalf*PDstandardNth1gt11) + - J11L*PDstandardNth1gt13 - J23L*khalf*PDstandardNth2gt11 + - J21L*PDstandardNth2gt13 - J33L*khalf*PDstandardNth3gt11 + - J31L*PDstandardNth3gt13; - - CCTK_REAL Gtl312 = khalf*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl313 = khalf*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33); - - CCTK_REAL Gtl322 = -(J13L*khalf*PDstandardNth1gt22) + - J12L*PDstandardNth1gt23 - J23L*khalf*PDstandardNth2gt22 + - J22L*PDstandardNth2gt23 - J33L*khalf*PDstandardNth3gt22 + - J32L*PDstandardNth3gt23; - - CCTK_REAL Gtl323 = khalf*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33); - - CCTK_REAL Gtl333 = khalf*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33); - - CCTK_REAL Gt111 = Gtl111*gtu11 + Gtl211*gtu12 + Gtl311*gtu13; - - CCTK_REAL Gt211 = Gtl111*gtu12 + Gtl211*gtu22 + Gtl311*gtu23; - - CCTK_REAL Gt311 = Gtl111*gtu13 + Gtl211*gtu23 + Gtl311*gtu33; - - CCTK_REAL Gt112 = Gtl112*gtu11 + Gtl212*gtu12 + Gtl312*gtu13; - - CCTK_REAL Gt212 = Gtl112*gtu12 + Gtl212*gtu22 + Gtl312*gtu23; - - CCTK_REAL Gt312 = Gtl112*gtu13 + Gtl212*gtu23 + Gtl312*gtu33; - - CCTK_REAL Gt113 = Gtl113*gtu11 + Gtl213*gtu12 + Gtl313*gtu13; - - CCTK_REAL Gt213 = Gtl113*gtu12 + Gtl213*gtu22 + Gtl313*gtu23; - - CCTK_REAL Gt313 = Gtl113*gtu13 + Gtl213*gtu23 + Gtl313*gtu33; - - CCTK_REAL Gt122 = Gtl122*gtu11 + Gtl222*gtu12 + Gtl322*gtu13; - - CCTK_REAL Gt222 = Gtl122*gtu12 + Gtl222*gtu22 + Gtl322*gtu23; - - CCTK_REAL Gt322 = Gtl122*gtu13 + Gtl222*gtu23 + Gtl322*gtu33; - - CCTK_REAL Gt123 = Gtl123*gtu11 + Gtl223*gtu12 + Gtl323*gtu13; - - CCTK_REAL Gt223 = Gtl123*gtu12 + Gtl223*gtu22 + Gtl323*gtu23; - - CCTK_REAL Gt323 = Gtl123*gtu13 + Gtl223*gtu23 + Gtl323*gtu33; - - CCTK_REAL Gt133 = Gtl133*gtu11 + Gtl233*gtu12 + Gtl333*gtu13; - - CCTK_REAL Gt233 = Gtl133*gtu12 + Gtl233*gtu22 + Gtl333*gtu23; - - CCTK_REAL Gt333 = Gtl133*gtu13 + Gtl233*gtu23 + Gtl333*gtu33; - - CCTK_REAL Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu12 + - Gt113*gtu13 + Gt123*gtu23) + Gt133*gtu33; - - CCTK_REAL Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu12 + - Gt213*gtu13 + Gt223*gtu23) + Gt233*gtu33; - - CCTK_REAL Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu12 + - Gt313*gtu13 + Gt323*gtu23) + Gt333*gtu33; - - CCTK_REAL fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL cdphi1 = fac1*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - - CCTK_REAL cdphi2 = fac1*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - - CCTK_REAL cdphi3 = fac1*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - - CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu12 + At13L*gtu13; - - CCTK_REAL Atm21 = At11L*gtu12 + At12L*gtu22 + At13L*gtu23; - - CCTK_REAL Atm31 = At11L*gtu13 + At12L*gtu23 + At13L*gtu33; - - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu12 + At23L*gtu13; - - CCTK_REAL Atm22 = At12L*gtu12 + At22L*gtu22 + At23L*gtu23; - - CCTK_REAL Atm32 = At12L*gtu13 + At22L*gtu23 + At23L*gtu33; - - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu12 + At33L*gtu13; - - CCTK_REAL Atm23 = At13L*gtu12 + At23L*gtu22 + At33L*gtu23; - - CCTK_REAL Atm33 = At13L*gtu13 + At23L*gtu23 + At33L*gtu33; - - CCTK_REAL Atu11 = Atm11*gtu11 + Atm12*gtu12 + Atm13*gtu13; - - CCTK_REAL Atu12 = Atm11*gtu12 + Atm12*gtu22 + Atm13*gtu23; - - CCTK_REAL Atu13 = Atm11*gtu13 + Atm12*gtu23 + Atm13*gtu33; - - CCTK_REAL Atu22 = Atm21*gtu12 + Atm22*gtu22 + Atm23*gtu23; - - CCTK_REAL Atu23 = Atm21*gtu13 + Atm22*gtu23 + Atm23*gtu33; - - CCTK_REAL Atu33 = Atm31*gtu13 + Atm32*gtu23 + Atm33*gtu33; - - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL em4phi = INV(e4phi); - - CCTK_REAL rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + - beta3L*eTtzL) + 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + - beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + - eTzzL*SQR(beta3L)); - - CCTK_REAL S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + - beta3L*eTxzL)*INV(alphaL); - - CCTK_REAL S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + - beta3L*eTyzL)*INV(alphaL); - - CCTK_REAL S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + - beta3L*eTzzL)*INV(alphaL); - - CCTK_REAL trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu12 + - eTxzL*gtu13 + eTyzL*gtu23) + eTzzL*gtu33); - - CCTK_REAL phirhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1phi + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2phi + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3phi + (beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1phi + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2phi + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3phi + (J11L*PDupwindNthSymm1phi + - J21L*PDupwindNthSymm2phi + J31L*PDupwindNthSymm3phi)*Abs(beta1L) + - (J12L*PDupwindNthSymm1phi + J22L*PDupwindNthSymm2phi + - J32L*PDupwindNthSymm3phi)*Abs(beta2L) + (J13L*PDupwindNthSymm1phi + - J23L*PDupwindNthSymm2phi + J33L*PDupwindNthSymm3phi)*Abs(beta3L) + - (J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3)*IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) - + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); - - CCTK_REAL gt11rhsL = -2*alphaL*At11L + (epsdiss1*J11L + epsdiss2*J12L - + epsdiss3*J13L)*PDdissipationNth1gt11 + (epsdiss1*J21L + epsdiss2*J22L - + epsdiss3*J23L)*PDdissipationNth2gt11 + (epsdiss1*J31L + epsdiss2*J32L - + epsdiss3*J33L)*PDdissipationNth3gt11 - - gt11L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J11L*(gt11L*PDstandardNth1beta1 + - gt12L*PDstandardNth1beta2 + gt13L*PDstandardNth1beta3) + - J21L*(gt11L*PDstandardNth2beta1 + gt12L*PDstandardNth2beta2 + - gt13L*PDstandardNth2beta3) + J31L*(gt11L*PDstandardNth3beta1 + - gt12L*PDstandardNth3beta2 + gt13L*PDstandardNth3beta3)) + (beta1L*J11L - + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1gt11 + (beta1L*J21L + - beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2gt11 + (beta1L*J31L + - beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3gt11 + - (J11L*PDupwindNthSymm1gt11 + J21L*PDupwindNthSymm2gt11 + - J31L*PDupwindNthSymm3gt11)*Abs(beta1L) + (J12L*PDupwindNthSymm1gt11 + - J22L*PDupwindNthSymm2gt11 + J32L*PDupwindNthSymm3gt11)*Abs(beta2L) + - (J13L*PDupwindNthSymm1gt11 + J23L*PDupwindNthSymm2gt11 + - J33L*PDupwindNthSymm3gt11)*Abs(beta3L); - - CCTK_REAL gt12rhsL = -2*alphaL*At12L + (epsdiss1*J11L + epsdiss2*J12L - + epsdiss3*J13L)*PDdissipationNth1gt12 + (epsdiss1*J21L + epsdiss2*J22L - + epsdiss3*J23L)*PDdissipationNth2gt12 + (epsdiss1*J31L + epsdiss2*J32L - + epsdiss3*J33L)*PDdissipationNth3gt12 + (gt12L*J11L + - gt11L*J12L)*PDstandardNth1beta1 + (gt22L*J11L + - gt12L*J12L)*PDstandardNth1beta2 + (gt23L*J11L + - gt13L*J12L)*PDstandardNth1beta3 + (gt12L*J21L + - gt11L*J22L)*PDstandardNth2beta1 + (gt22L*J21L + - gt12L*J22L)*PDstandardNth2beta2 + (gt23L*J21L + - gt13L*J22L)*PDstandardNth2beta3 + (gt12L*J31L + - gt11L*J32L)*PDstandardNth3beta1 + (gt22L*J31L + - gt12L*J32L)*PDstandardNth3beta2 + (gt23L*J31L + - gt13L*J32L)*PDstandardNth3beta3 - - gt12L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + (beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1gt12 + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2gt12 + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3gt12 + (J11L*PDupwindNthSymm1gt12 + - J21L*PDupwindNthSymm2gt12 + J31L*PDupwindNthSymm3gt12)*Abs(beta1L) + - (J12L*PDupwindNthSymm1gt12 + J22L*PDupwindNthSymm2gt12 + - J32L*PDupwindNthSymm3gt12)*Abs(beta2L) + (J13L*PDupwindNthSymm1gt12 + - J23L*PDupwindNthSymm2gt12 + J33L*PDupwindNthSymm3gt12)*Abs(beta3L); - - CCTK_REAL gt13rhsL = -2*alphaL*At13L + (epsdiss1*J11L + epsdiss2*J12L - + epsdiss3*J13L)*PDdissipationNth1gt13 + (epsdiss1*J21L + epsdiss2*J22L - + epsdiss3*J23L)*PDdissipationNth2gt13 + (epsdiss1*J31L + epsdiss2*J32L - + epsdiss3*J33L)*PDdissipationNth3gt13 + (gt13L*J11L + - gt11L*J13L)*PDstandardNth1beta1 + (gt23L*J11L + - gt12L*J13L)*PDstandardNth1beta2 + (gt33L*J11L + - gt13L*J13L)*PDstandardNth1beta3 + (gt13L*J21L + - gt11L*J23L)*PDstandardNth2beta1 + (gt23L*J21L + - gt12L*J23L)*PDstandardNth2beta2 + (gt33L*J21L + - gt13L*J23L)*PDstandardNth2beta3 + (gt13L*J31L + - gt11L*J33L)*PDstandardNth3beta1 + (gt23L*J31L + - gt12L*J33L)*PDstandardNth3beta2 + (gt33L*J31L + - gt13L*J33L)*PDstandardNth3beta3 - - gt13L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + (beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1gt13 + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2gt13 + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3gt13 + (J11L*PDupwindNthSymm1gt13 + - J21L*PDupwindNthSymm2gt13 + J31L*PDupwindNthSymm3gt13)*Abs(beta1L) + - (J12L*PDupwindNthSymm1gt13 + J22L*PDupwindNthSymm2gt13 + - J32L*PDupwindNthSymm3gt13)*Abs(beta2L) + (J13L*PDupwindNthSymm1gt13 + - J23L*PDupwindNthSymm2gt13 + J33L*PDupwindNthSymm3gt13)*Abs(beta3L); - - CCTK_REAL gt22rhsL = -2*alphaL*At22L + (epsdiss1*J11L + epsdiss2*J12L - + epsdiss3*J13L)*PDdissipationNth1gt22 + (epsdiss1*J21L + epsdiss2*J22L - + epsdiss3*J23L)*PDdissipationNth2gt22 + (epsdiss1*J31L + epsdiss2*J32L - + epsdiss3*J33L)*PDdissipationNth3gt22 - - gt22L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J12L*(gt12L*PDstandardNth1beta1 + - gt22L*PDstandardNth1beta2 + gt23L*PDstandardNth1beta3) + - J22L*(gt12L*PDstandardNth2beta1 + gt22L*PDstandardNth2beta2 + - gt23L*PDstandardNth2beta3) + J32L*(gt12L*PDstandardNth3beta1 + - gt22L*PDstandardNth3beta2 + gt23L*PDstandardNth3beta3)) + (beta1L*J11L - + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1gt22 + (beta1L*J21L + - beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2gt22 + (beta1L*J31L + - beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3gt22 + - (J11L*PDupwindNthSymm1gt22 + J21L*PDupwindNthSymm2gt22 + - J31L*PDupwindNthSymm3gt22)*Abs(beta1L) + (J12L*PDupwindNthSymm1gt22 + - J22L*PDupwindNthSymm2gt22 + J32L*PDupwindNthSymm3gt22)*Abs(beta2L) + - (J13L*PDupwindNthSymm1gt22 + J23L*PDupwindNthSymm2gt22 + - J33L*PDupwindNthSymm3gt22)*Abs(beta3L); - - CCTK_REAL gt23rhsL = -2*alphaL*At23L + (epsdiss1*J11L + epsdiss2*J12L - + epsdiss3*J13L)*PDdissipationNth1gt23 + (epsdiss1*J21L + epsdiss2*J22L - + epsdiss3*J23L)*PDdissipationNth2gt23 + (epsdiss1*J31L + epsdiss2*J32L - + epsdiss3*J33L)*PDdissipationNth3gt23 + (gt13L*J12L + - gt12L*J13L)*PDstandardNth1beta1 + (gt23L*J12L + - gt22L*J13L)*PDstandardNth1beta2 + (gt33L*J12L + - gt23L*J13L)*PDstandardNth1beta3 + (gt13L*J22L + - gt12L*J23L)*PDstandardNth2beta1 + (gt23L*J22L + - gt22L*J23L)*PDstandardNth2beta2 + (gt33L*J22L + - gt23L*J23L)*PDstandardNth2beta3 + (gt13L*J32L + - gt12L*J33L)*PDstandardNth3beta1 + (gt23L*J32L + - gt22L*J33L)*PDstandardNth3beta2 + (gt33L*J32L + - gt23L*J33L)*PDstandardNth3beta3 - - gt23L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + (beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1gt23 + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2gt23 + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3gt23 + (J11L*PDupwindNthSymm1gt23 + - J21L*PDupwindNthSymm2gt23 + J31L*PDupwindNthSymm3gt23)*Abs(beta1L) + - (J12L*PDupwindNthSymm1gt23 + J22L*PDupwindNthSymm2gt23 + - J32L*PDupwindNthSymm3gt23)*Abs(beta2L) + (J13L*PDupwindNthSymm1gt23 + - J23L*PDupwindNthSymm2gt23 + J33L*PDupwindNthSymm3gt23)*Abs(beta3L); - - CCTK_REAL gt33rhsL = -2*alphaL*At33L + (epsdiss1*J11L + epsdiss2*J12L - + epsdiss3*J13L)*PDdissipationNth1gt33 + (epsdiss1*J21L + epsdiss2*J22L - + epsdiss3*J23L)*PDdissipationNth2gt33 + (epsdiss1*J31L + epsdiss2*J32L - + epsdiss3*J33L)*PDdissipationNth3gt33 - - gt33L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J13L*(gt13L*PDstandardNth1beta1 + - gt23L*PDstandardNth1beta2 + gt33L*PDstandardNth1beta3) + - J23L*(gt13L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta2 + - gt33L*PDstandardNth2beta3) + J33L*(gt13L*PDstandardNth3beta1 + - gt23L*PDstandardNth3beta2 + gt33L*PDstandardNth3beta3)) + (beta1L*J11L - + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1gt33 + (beta1L*J21L + - beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2gt33 + (beta1L*J31L + - beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3gt33 + - (J11L*PDupwindNthSymm1gt33 + J21L*PDupwindNthSymm2gt33 + - J31L*PDupwindNthSymm3gt33)*Abs(beta1L) + (J12L*PDupwindNthSymm1gt33 + - J22L*PDupwindNthSymm2gt33 + J32L*PDupwindNthSymm3gt33)*Abs(beta2L) + - (J13L*PDupwindNthSymm1gt33 + J23L*PDupwindNthSymm2gt33 + - J33L*PDupwindNthSymm3gt33)*Abs(beta3L); - - CCTK_REAL dotXt1 = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1Xt1 + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2Xt1 + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3Xt1 - 2*((Atu11*J11L + Atu12*J12L + - Atu13*J13L)*PDstandardNth1alpha + (Atu11*J21L + Atu12*J22L + - Atu13*J23L)*PDstandardNth2alpha + (Atu11*J31L + Atu12*J32L + - Atu13*J33L)*PDstandardNth3alpha) + - 2*(gtu12*(J11L*J12L*PDstandardNth11beta1 + - J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + - J12L*J31L*PDstandardNth13beta1 + J11L*J32L*PDstandardNth13beta1 + - dJ112L*PDstandardNth1beta1 + J21L*J22L*PDstandardNth22beta1 + - J22L*J31L*PDstandardNth23beta1 + J21L*J32L*PDstandardNth23beta1 + - dJ212L*PDstandardNth2beta1 + J31L*J32L*PDstandardNth33beta1 + - dJ312L*PDstandardNth3beta1) + gtu13*(J11L*J13L*PDstandardNth11beta1 + - J13L*J21L*PDstandardNth12beta1 + J11L*J23L*PDstandardNth12beta1 + - J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + - dJ113L*PDstandardNth1beta1 + J21L*J23L*PDstandardNth22beta1 + - J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + - dJ213L*PDstandardNth2beta1 + J31L*J33L*PDstandardNth33beta1 + - dJ313L*PDstandardNth3beta1) + gtu23*(J12L*J13L*PDstandardNth11beta1 + - J13L*J22L*PDstandardNth12beta1 + J12L*J23L*PDstandardNth12beta1 + - J13L*J32L*PDstandardNth13beta1 + J12L*J33L*PDstandardNth13beta1 + - dJ123L*PDstandardNth1beta1 + J22L*J23L*PDstandardNth22beta1 + - J23L*J32L*PDstandardNth23beta1 + J22L*J33L*PDstandardNth23beta1 + - dJ223L*PDstandardNth2beta1 + J32L*J33L*PDstandardNth33beta1 + - dJ323L*PDstandardNth3beta1) + alphaL*(6*(Atu11*cdphi1 + Atu12*cdphi2 + - Atu13*cdphi3) + Atu11*Gt111 + 2*Atu12*Gt112 + 2*Atu13*Gt113 + - Atu22*Gt122 + 2*Atu23*Gt123 + Atu33*Gt133 - ktwothird*((gtu11*J11L + - gtu12*J12L + gtu13*J13L)*PDstandardNth1trK + (gtu11*J21L + gtu12*J22L + - gtu13*J23L)*PDstandardNth2trK + (gtu11*J31L + gtu12*J32L + - gtu13*J33L)*PDstandardNth3trK))) + (beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1Xt1 + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2Xt1 + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3Xt1 - - 50.26548245743669181540229413247204614715*alphaL*(gtu11*S1 + gtu12*S2 + - gtu13*S3) + ktwothird*(J11L*PDstandardNth1beta1 + - J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + - J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + - J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + - J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn1 - - PDstandardNth1beta1*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - - PDstandardNth2beta1*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - - PDstandardNth3beta1*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + - (J11L*PDupwindNthSymm1Xt1 + J21L*PDupwindNthSymm2Xt1 + - J31L*PDupwindNthSymm3Xt1)*Abs(beta1L) + (J12L*PDupwindNthSymm1Xt1 + - J22L*PDupwindNthSymm2Xt1 + J32L*PDupwindNthSymm3Xt1)*Abs(beta2L) + - (J13L*PDupwindNthSymm1Xt1 + J23L*PDupwindNthSymm2Xt1 + - J33L*PDupwindNthSymm3Xt1)*Abs(beta3L) + - gtu11*(2*J11L*J21L*PDstandardNth12beta1 + - 2*J11L*J31L*PDstandardNth13beta1 + dJ111L*PDstandardNth1beta1 + - 2*J21L*J31L*PDstandardNth23beta1 + dJ211L*PDstandardNth2beta1 + - dJ311L*PDstandardNth3beta1 + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu22*(2*J12L*J22L*PDstandardNth12beta1 + - 2*J12L*J32L*PDstandardNth13beta1 + dJ122L*PDstandardNth1beta1 + - 2*J22L*J32L*PDstandardNth23beta1 + dJ222L*PDstandardNth2beta1 + - dJ322L*PDstandardNth3beta1 + PDstandardNth11beta1*SQR(J12L) + - PDstandardNth22beta1*SQR(J22L) + PDstandardNth33beta1*SQR(J32L)) + - gtu33*(2*J13L*J23L*PDstandardNth12beta1 + - 2*J13L*J33L*PDstandardNth13beta1 + dJ133L*PDstandardNth1beta1 + - 2*J23L*J33L*PDstandardNth23beta1 + dJ233L*PDstandardNth2beta1 + - dJ333L*PDstandardNth3beta1 + PDstandardNth11beta1*SQR(J13L) + - PDstandardNth22beta1*SQR(J23L) + PDstandardNth33beta1*SQR(J33L)) + - kthird*(gtu11*(J11L*J12L*PDstandardNth11beta2 + - J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + - J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + - J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + - 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + - J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + - J11L*J33L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta1 + - dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + - J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + - 2*J21L*J31L*PDstandardNth23beta1 + J22L*J31L*PDstandardNth23beta2 + - J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + - J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + - dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + - J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + - dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + - dJ313L*PDstandardNth3beta3 + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu12*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 - + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + - 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + - J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + - J11L*J32L*PDstandardNth13beta1 + 2*J12L*J32L*PDstandardNth13beta2 + - J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + - dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + - dJ123L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta1 + - J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + - J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + - J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + - dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + - dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + - J32L*J33L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta1 + - dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + - PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + - PDstandardNth33beta2*SQR(J32L)) + gtu13*(J11L*J13L*PDstandardNth11beta1 - + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + - J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + - J12L*J23L*PDstandardNth12beta2 + 2*J13L*J23L*PDstandardNth12beta3 + - J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + - J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + - 2*J13L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta1 + - dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + - J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + - J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + - J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + - 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + - dJ223L*PDstandardNth2beta2 + dJ233L*PDstandardNth2beta3 + - J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + - dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + - dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + - PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); - - CCTK_REAL dotXt2 = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1Xt2 + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2Xt2 + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3Xt2 - 2*((Atu12*J11L + Atu22*J12L + - Atu23*J13L)*PDstandardNth1alpha + (Atu12*J21L + Atu22*J22L + - Atu23*J23L)*PDstandardNth2alpha + (Atu12*J31L + Atu22*J32L + - Atu23*J33L)*PDstandardNth3alpha) + - 2*(gtu12*(J11L*J12L*PDstandardNth11beta2 + - J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + - J12L*J31L*PDstandardNth13beta2 + J11L*J32L*PDstandardNth13beta2 + - dJ112L*PDstandardNth1beta2 + J21L*J22L*PDstandardNth22beta2 + - J22L*J31L*PDstandardNth23beta2 + J21L*J32L*PDstandardNth23beta2 + - dJ212L*PDstandardNth2beta2 + J31L*J32L*PDstandardNth33beta2 + - dJ312L*PDstandardNth3beta2) + gtu13*(J11L*J13L*PDstandardNth11beta2 + - J13L*J21L*PDstandardNth12beta2 + J11L*J23L*PDstandardNth12beta2 + - J13L*J31L*PDstandardNth13beta2 + J11L*J33L*PDstandardNth13beta2 + - dJ113L*PDstandardNth1beta2 + J21L*J23L*PDstandardNth22beta2 + - J23L*J31L*PDstandardNth23beta2 + J21L*J33L*PDstandardNth23beta2 + - dJ213L*PDstandardNth2beta2 + J31L*J33L*PDstandardNth33beta2 + - dJ313L*PDstandardNth3beta2) + gtu23*(J12L*J13L*PDstandardNth11beta2 + - J13L*J22L*PDstandardNth12beta2 + J12L*J23L*PDstandardNth12beta2 + - J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + - dJ123L*PDstandardNth1beta2 + J22L*J23L*PDstandardNth22beta2 + - J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + - dJ223L*PDstandardNth2beta2 + J32L*J33L*PDstandardNth33beta2 + - dJ323L*PDstandardNth3beta2) + alphaL*(6*(Atu12*cdphi1 + Atu22*cdphi2 + - Atu23*cdphi3) + Atu11*Gt211 + 2*Atu12*Gt212 + 2*Atu13*Gt213 + - Atu22*Gt222 + 2*Atu23*Gt223 + Atu33*Gt233 - ktwothird*((gtu12*J11L + - gtu22*J12L + gtu23*J13L)*PDstandardNth1trK + (gtu12*J21L + gtu22*J22L + - gtu23*J23L)*PDstandardNth2trK + (gtu12*J31L + gtu22*J32L + - gtu23*J33L)*PDstandardNth3trK))) + (beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1Xt2 + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2Xt2 + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3Xt2 - - 50.26548245743669181540229413247204614715*alphaL*(gtu12*S1 + gtu22*S2 + - gtu23*S3) + ktwothird*(J11L*PDstandardNth1beta1 + - J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + - J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + - J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + - J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn2 - - PDstandardNth1beta2*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - - PDstandardNth2beta2*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - - PDstandardNth3beta2*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + - (J11L*PDupwindNthSymm1Xt2 + J21L*PDupwindNthSymm2Xt2 + - J31L*PDupwindNthSymm3Xt2)*Abs(beta1L) + (J12L*PDupwindNthSymm1Xt2 + - J22L*PDupwindNthSymm2Xt2 + J32L*PDupwindNthSymm3Xt2)*Abs(beta2L) + - (J13L*PDupwindNthSymm1Xt2 + J23L*PDupwindNthSymm2Xt2 + - J33L*PDupwindNthSymm3Xt2)*Abs(beta3L) + - gtu11*(2*J11L*J21L*PDstandardNth12beta2 + - 2*J11L*J31L*PDstandardNth13beta2 + dJ111L*PDstandardNth1beta2 + - 2*J21L*J31L*PDstandardNth23beta2 + dJ211L*PDstandardNth2beta2 + - dJ311L*PDstandardNth3beta2 + PDstandardNth11beta2*SQR(J11L) + - PDstandardNth22beta2*SQR(J21L) + PDstandardNth33beta2*SQR(J31L)) + - gtu22*(2*J12L*J22L*PDstandardNth12beta2 + - 2*J12L*J32L*PDstandardNth13beta2 + dJ122L*PDstandardNth1beta2 + - 2*J22L*J32L*PDstandardNth23beta2 + dJ222L*PDstandardNth2beta2 + - dJ322L*PDstandardNth3beta2 + PDstandardNth11beta2*SQR(J12L) + - PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + - gtu33*(2*J13L*J23L*PDstandardNth12beta2 + - 2*J13L*J33L*PDstandardNth13beta2 + dJ133L*PDstandardNth1beta2 + - 2*J23L*J33L*PDstandardNth23beta2 + dJ233L*PDstandardNth2beta2 + - dJ333L*PDstandardNth3beta2 + PDstandardNth11beta2*SQR(J13L) + - PDstandardNth22beta2*SQR(J23L) + PDstandardNth33beta2*SQR(J33L)) + - kthird*(gtu12*(J11L*J12L*PDstandardNth11beta2 + - J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + - J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + - J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + - 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + - J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + - J11L*J33L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta1 + - dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + - J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + - 2*J21L*J31L*PDstandardNth23beta1 + J22L*J31L*PDstandardNth23beta2 + - J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + - J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + - dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + - J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + - dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + - dJ313L*PDstandardNth3beta3 + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu22*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 - + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + - 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + - J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + - J11L*J32L*PDstandardNth13beta1 + 2*J12L*J32L*PDstandardNth13beta2 + - J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + - dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + - dJ123L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta1 + - J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + - J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + - J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + - dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + - dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + - J32L*J33L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta1 + - dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + - PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + - PDstandardNth33beta2*SQR(J32L)) + gtu23*(J11L*J13L*PDstandardNth11beta1 - + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + - J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + - J12L*J23L*PDstandardNth12beta2 + 2*J13L*J23L*PDstandardNth12beta3 + - J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + - J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + - 2*J13L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta1 + - dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + - J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + - J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + - J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + - 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + - dJ223L*PDstandardNth2beta2 + dJ233L*PDstandardNth2beta3 + - J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + - dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + - dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + - PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); - - CCTK_REAL dotXt3 = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1Xt3 + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2Xt3 + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3Xt3 - 2*((Atu13*J11L + Atu23*J12L + - Atu33*J13L)*PDstandardNth1alpha + (Atu13*J21L + Atu23*J22L + - Atu33*J23L)*PDstandardNth2alpha + (Atu13*J31L + Atu23*J32L + - Atu33*J33L)*PDstandardNth3alpha) + - 2*(gtu12*(J11L*J12L*PDstandardNth11beta3 + - J12L*J21L*PDstandardNth12beta3 + J11L*J22L*PDstandardNth12beta3 + - J12L*J31L*PDstandardNth13beta3 + J11L*J32L*PDstandardNth13beta3 + - dJ112L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta3 + - J22L*J31L*PDstandardNth23beta3 + J21L*J32L*PDstandardNth23beta3 + - dJ212L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta3 + - dJ312L*PDstandardNth3beta3) + gtu13*(J11L*J13L*PDstandardNth11beta3 + - J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + - J13L*J31L*PDstandardNth13beta3 + J11L*J33L*PDstandardNth13beta3 + - dJ113L*PDstandardNth1beta3 + J21L*J23L*PDstandardNth22beta3 + - J23L*J31L*PDstandardNth23beta3 + J21L*J33L*PDstandardNth23beta3 + - dJ213L*PDstandardNth2beta3 + J31L*J33L*PDstandardNth33beta3 + - dJ313L*PDstandardNth3beta3) + gtu23*(J12L*J13L*PDstandardNth11beta3 + - J13L*J22L*PDstandardNth12beta3 + J12L*J23L*PDstandardNth12beta3 + - J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + - dJ123L*PDstandardNth1beta3 + J22L*J23L*PDstandardNth22beta3 + - J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + - dJ223L*PDstandardNth2beta3 + J32L*J33L*PDstandardNth33beta3 + - dJ323L*PDstandardNth3beta3) + alphaL*(6*(Atu13*cdphi1 + Atu23*cdphi2 + - Atu33*cdphi3) + Atu11*Gt311 + 2*Atu12*Gt312 + 2*Atu13*Gt313 + - Atu22*Gt322 + 2*Atu23*Gt323 + Atu33*Gt333 - ktwothird*((gtu13*J11L + - gtu23*J12L + gtu33*J13L)*PDstandardNth1trK + (gtu13*J21L + gtu23*J22L + - gtu33*J23L)*PDstandardNth2trK + (gtu13*J31L + gtu23*J32L + - gtu33*J33L)*PDstandardNth3trK))) + (beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1Xt3 + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2Xt3 + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3Xt3 - - 50.26548245743669181540229413247204614715*alphaL*(gtu13*S1 + gtu23*S2 + - gtu33*S3) + ktwothird*(J11L*PDstandardNth1beta1 + - J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + - J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + - J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + - J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn3 - - PDstandardNth1beta3*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - - PDstandardNth2beta3*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - - PDstandardNth3beta3*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + - (J11L*PDupwindNthSymm1Xt3 + J21L*PDupwindNthSymm2Xt3 + - J31L*PDupwindNthSymm3Xt3)*Abs(beta1L) + (J12L*PDupwindNthSymm1Xt3 + - J22L*PDupwindNthSymm2Xt3 + J32L*PDupwindNthSymm3Xt3)*Abs(beta2L) + - (J13L*PDupwindNthSymm1Xt3 + J23L*PDupwindNthSymm2Xt3 + - J33L*PDupwindNthSymm3Xt3)*Abs(beta3L) + - gtu11*(2*J11L*J21L*PDstandardNth12beta3 + - 2*J11L*J31L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta3 + - 2*J21L*J31L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta3 + - dJ311L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J11L) + - PDstandardNth22beta3*SQR(J21L) + PDstandardNth33beta3*SQR(J31L)) + - gtu22*(2*J12L*J22L*PDstandardNth12beta3 + - 2*J12L*J32L*PDstandardNth13beta3 + dJ122L*PDstandardNth1beta3 + - 2*J22L*J32L*PDstandardNth23beta3 + dJ222L*PDstandardNth2beta3 + - dJ322L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J12L) + - PDstandardNth22beta3*SQR(J22L) + PDstandardNth33beta3*SQR(J32L)) + - gtu33*(2*J13L*J23L*PDstandardNth12beta3 + - 2*J13L*J33L*PDstandardNth13beta3 + dJ133L*PDstandardNth1beta3 + - 2*J23L*J33L*PDstandardNth23beta3 + dJ233L*PDstandardNth2beta3 + - dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + - PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L)) + - kthird*(gtu13*(J11L*J12L*PDstandardNth11beta2 + - J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + - J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + - J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + - 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + - J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + - J11L*J33L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta1 + - dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + - J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + - 2*J21L*J31L*PDstandardNth23beta1 + J22L*J31L*PDstandardNth23beta2 + - J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + - J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + - dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + - J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + - dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + - dJ313L*PDstandardNth3beta3 + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu23*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 - + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + - 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + - J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + - J11L*J32L*PDstandardNth13beta1 + 2*J12L*J32L*PDstandardNth13beta2 + - J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + - dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + - dJ123L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta1 + - J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + - J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + - J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + - dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + - dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + - J32L*J33L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta1 + - dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + - PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + - PDstandardNth33beta2*SQR(J32L)) + gtu33*(J11L*J13L*PDstandardNth11beta1 - + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + - J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + - J12L*J23L*PDstandardNth12beta2 + 2*J13L*J23L*PDstandardNth12beta3 + - J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + - J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + - 2*J13L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta1 + - dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + - J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + - J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + - J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + - 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + - dJ223L*PDstandardNth2beta2 + dJ233L*PDstandardNth2beta3 + - J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + - dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + - dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + - PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); - - CCTK_REAL Xt1rhsL = dotXt1; - - CCTK_REAL Xt2rhsL = dotXt2; - - CCTK_REAL Xt3rhsL = dotXt3; - - CCTK_REAL dottrK = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1trK + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2trK + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3trK + (beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1trK + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2trK + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3trK + (J11L*PDupwindNthSymm1trK + - J21L*PDupwindNthSymm2trK + J31L*PDupwindNthSymm3trK)*Abs(beta1L) + - (J12L*PDupwindNthSymm1trK + J22L*PDupwindNthSymm2trK + - J32L*PDupwindNthSymm3trK)*Abs(beta2L) + (J13L*PDupwindNthSymm1trK + - J23L*PDupwindNthSymm2trK + J33L*PDupwindNthSymm3trK)*Abs(beta3L) - - em4phi*(2*((gtu12*J11L*J22L + gtu13*(J13L*J21L + - J11L*J23L))*PDstandardNth12alpha + (gtu12*J11L*J32L + gtu13*(J13L*J31L - + J11L*J33L))*PDstandardNth13alpha + J11L*((gtu12*J12L + - gtu13*J13L)*PDstandardNth11alpha + gtu11*(J21L*PDstandardNth12alpha + - J31L*PDstandardNth13alpha)) + J12L*(gtu23*J13L*PDstandardNth11alpha + - gtu12*(J21L*PDstandardNth12alpha + J31L*PDstandardNth13alpha)) + - (gtu11*J21L*J31L + (gtu22*J22L + gtu23*J23L)*J32L + (gtu23*J22L + - gtu33*J23L)*J33L)*PDstandardNth23alpha + J22L*((gtu22*J12L + - gtu23*J13L)*PDstandardNth12alpha + (gtu12*J21L + - gtu23*J23L)*PDstandardNth22alpha + gtu12*J31L*PDstandardNth23alpha) + - J23L*((gtu23*J12L + gtu33*J13L)*PDstandardNth12alpha + - gtu13*(J21L*PDstandardNth22alpha + J31L*PDstandardNth23alpha)) + - (gtu12*(dJ312L + cdphi2*J31L) + cdphi3*(gtu13*J31L + - gtu23*J32L))*PDstandardNth3alpha + J32L*((gtu22*J12L + - gtu23*J13L)*PDstandardNth13alpha + gtu23*J33L*PDstandardNth33alpha + - gtu12*(J21L*PDstandardNth23alpha + J31L*PDstandardNth33alpha) + - cdphi2*gtu22*PDstandardNth3alpha) + J33L*((gtu23*J12L + - gtu33*J13L)*PDstandardNth13alpha + gtu13*(J21L*PDstandardNth23alpha + - J31L*PDstandardNth33alpha) + (cdphi2*gtu23 + - cdphi3*gtu33)*PDstandardNth3alpha)) + - PDstandardNth1alpha*(gtu11*(dJ111L + 2*cdphi1*J11L) + gtu22*(dJ122L + - 2*cdphi2*J12L) + gtu33*(dJ133L + 2*cdphi3*J13L) + 2*(dJ112L*gtu12 + - dJ113L*gtu13 + dJ123L*gtu23 + cdphi2*gtu12*J11L + cdphi3*gtu13*J11L + - cdphi1*gtu12*J12L + cdphi3*gtu23*J12L + cdphi1*gtu13*J13L + - cdphi2*gtu23*J13L) - J11L*Xtn1 - J12L*Xtn2 - J13L*Xtn3) + - PDstandardNth2alpha*(gtu11*(dJ211L + 2*cdphi1*J21L) + gtu22*(dJ222L + - 2*cdphi2*J22L) + gtu33*(dJ233L + 2*cdphi3*J23L) + 2*(dJ212L*gtu12 + - dJ213L*gtu13 + dJ223L*gtu23 + cdphi2*gtu12*J21L + cdphi3*gtu13*J21L + - cdphi1*gtu12*J22L + cdphi3*gtu23*J22L + cdphi1*gtu13*J23L + - cdphi2*gtu23*J23L) - J21L*Xtn1 - J22L*Xtn2 - J23L*Xtn3) + - PDstandardNth3alpha*(dJ322L*gtu22 + dJ333L*gtu33 + gtu11*(dJ311L + - 2*cdphi1*J31L) + 2*(dJ313L*gtu13 + dJ323L*gtu23 + cdphi1*gtu12*J32L + - cdphi1*gtu13*J33L) - J31L*Xtn1 - J32L*Xtn2 - J33L*Xtn3) + - PDstandardNth11alpha*(gtu11*SQR(J11L) + gtu22*SQR(J12L) + - gtu33*SQR(J13L)) + PDstandardNth22alpha*(gtu11*SQR(J21L) + - gtu22*SQR(J22L) + gtu33*SQR(J23L)) + - PDstandardNth33alpha*(gtu11*SQR(J31L) + gtu22*SQR(J32L) + - gtu33*SQR(J33L))) + alphaL*(2*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - + 12.56637061435917295385057353311801153679*(rho + trS) + SQR(Atm11) + - SQR(Atm22) + SQR(Atm33) + kthird*SQR(trKL)); - - CCTK_REAL trKrhsL = dottrK; - - CCTK_REAL alpharhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1alpha + (epsdiss1*J21L + epsdiss2*J22L - + epsdiss3*J23L)*PDdissipationNth2alpha + (epsdiss1*J31L + - epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3alpha + - LapseAdvectionCoeff*((beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1alpha + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2alpha + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3alpha + (J11L*PDupwindNthSymm1alpha + - J21L*PDupwindNthSymm2alpha + J31L*PDupwindNthSymm3alpha)*Abs(beta1L) + - (J12L*PDupwindNthSymm1alpha + J22L*PDupwindNthSymm2alpha + - J32L*PDupwindNthSymm3alpha)*Abs(beta2L) + (J13L*PDupwindNthSymm1alpha + - J23L*PDupwindNthSymm2alpha + J33L*PDupwindNthSymm3alpha)*Abs(beta3L)) - - harmonicF*(LapseACoeff*(AL - trKL) + trKL)*pow(alphaL,harmonicN); - - CCTK_REAL ArhsL = (-(AL*AlphaDriver) + dottrK)*LapseACoeff + - (epsdiss1*J11L + epsdiss2*J12L + epsdiss3*J13L)*PDdissipationNth1A + - (epsdiss1*J21L + epsdiss2*J22L + epsdiss3*J23L)*PDdissipationNth2A + - (epsdiss1*J31L + epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3A + - LapseAdvectionCoeff*((beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1A + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2A + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3A + (J11L*PDupwindNthSymm1A + - J21L*PDupwindNthSymm2A + J31L*PDupwindNthSymm3A)*Abs(beta1L) + - (J12L*PDupwindNthSymm1A + J22L*PDupwindNthSymm2A + - J32L*PDupwindNthSymm3A)*Abs(beta2L) + (J13L*PDupwindNthSymm1A + - J23L*PDupwindNthSymm2A + J33L*PDupwindNthSymm3A)*Abs(beta3L)); - - CCTK_REAL eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); - - CCTK_REAL theta = fmin(1,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius))); - - CCTK_REAL beta1rhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1beta1 + (epsdiss1*J21L + epsdiss2*J22L - + epsdiss3*J23L)*PDdissipationNth2beta1 + (epsdiss1*J31L + - epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3beta1 + - ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + - ShiftBCoeff*(B1L - Xt1L) + Xt1L) + ShiftAdvectionCoeff*((beta1L*J11L + - beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1beta1 + (beta1L*J21L + - beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2beta1 + (beta1L*J31L + - beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3beta1 + - (J11L*PDupwindNthSymm1beta1 + J21L*PDupwindNthSymm2beta1 + - J31L*PDupwindNthSymm3beta1)*Abs(beta1L) + (J12L*PDupwindNthSymm1beta1 + - J22L*PDupwindNthSymm2beta1 + J32L*PDupwindNthSymm3beta1)*Abs(beta2L) + - (J13L*PDupwindNthSymm1beta1 + J23L*PDupwindNthSymm2beta1 + - J33L*PDupwindNthSymm3beta1)*Abs(beta3L)); - - CCTK_REAL beta2rhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1beta2 + (epsdiss1*J21L + epsdiss2*J22L - + epsdiss3*J23L)*PDdissipationNth2beta2 + (epsdiss1*J31L + - epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3beta2 + - ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + - ShiftBCoeff*(B2L - Xt2L) + Xt2L) + ShiftAdvectionCoeff*((beta1L*J11L + - beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1beta2 + (beta1L*J21L + - beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2beta2 + (beta1L*J31L + - beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3beta2 + - (J11L*PDupwindNthSymm1beta2 + J21L*PDupwindNthSymm2beta2 + - J31L*PDupwindNthSymm3beta2)*Abs(beta1L) + (J12L*PDupwindNthSymm1beta2 + - J22L*PDupwindNthSymm2beta2 + J32L*PDupwindNthSymm3beta2)*Abs(beta2L) + - (J13L*PDupwindNthSymm1beta2 + J23L*PDupwindNthSymm2beta2 + - J33L*PDupwindNthSymm3beta2)*Abs(beta3L)); - - CCTK_REAL beta3rhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1beta3 + (epsdiss1*J21L + epsdiss2*J22L - + epsdiss3*J23L)*PDdissipationNth2beta3 + (epsdiss1*J31L + - epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3beta3 + - ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + - ShiftBCoeff*(B3L - Xt3L) + Xt3L) + ShiftAdvectionCoeff*((beta1L*J11L + - beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1beta3 + (beta1L*J21L + - beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2beta3 + (beta1L*J31L + - beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3beta3 + - (J11L*PDupwindNthSymm1beta3 + J21L*PDupwindNthSymm2beta3 + - J31L*PDupwindNthSymm3beta3)*Abs(beta1L) + (J12L*PDupwindNthSymm1beta3 + - J22L*PDupwindNthSymm2beta3 + J32L*PDupwindNthSymm3beta3)*Abs(beta2L) + - (J13L*PDupwindNthSymm1beta3 + J23L*PDupwindNthSymm2beta3 + - J33L*PDupwindNthSymm3beta3)*Abs(beta3L)); - - CCTK_REAL B1rhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1B1 + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2B1 + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3B1 + (dotXt1 - - B1L*BetaDriver*eta)*ShiftBCoeff + ShiftAdvectionCoeff*((beta1L*J11L + - beta2L*J12L + beta3L*J13L)*(PDupwindNthAnti1B1 - PDupwindNthAnti1Xt1) + - (beta1L*J21L + beta2L*J22L + beta3L*J23L)*(PDupwindNthAnti2B1 - - PDupwindNthAnti2Xt1) + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*(PDupwindNthAnti3B1 - PDupwindNthAnti3Xt1) + - (J11L*(PDupwindNthSymm1B1 - PDupwindNthSymm1Xt1) + - J21L*(PDupwindNthSymm2B1 - PDupwindNthSymm2Xt1) + - J31L*(PDupwindNthSymm3B1 - PDupwindNthSymm3Xt1))*Abs(beta1L) + - (J12L*(PDupwindNthSymm1B1 - PDupwindNthSymm1Xt1) + - J22L*(PDupwindNthSymm2B1 - PDupwindNthSymm2Xt1) + - J32L*(PDupwindNthSymm3B1 - PDupwindNthSymm3Xt1))*Abs(beta2L) + - (J13L*(PDupwindNthSymm1B1 - PDupwindNthSymm1Xt1) + - J23L*(PDupwindNthSymm2B1 - PDupwindNthSymm2Xt1) + - J33L*(PDupwindNthSymm3B1 - PDupwindNthSymm3Xt1))*Abs(beta3L)); - - CCTK_REAL B2rhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1B2 + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2B2 + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3B2 + (dotXt2 - - B2L*BetaDriver*eta)*ShiftBCoeff + ShiftAdvectionCoeff*((beta1L*J11L + - beta2L*J12L + beta3L*J13L)*(PDupwindNthAnti1B2 - PDupwindNthAnti1Xt2) + - (beta1L*J21L + beta2L*J22L + beta3L*J23L)*(PDupwindNthAnti2B2 - - PDupwindNthAnti2Xt2) + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*(PDupwindNthAnti3B2 - PDupwindNthAnti3Xt2) + - (J11L*(PDupwindNthSymm1B2 - PDupwindNthSymm1Xt2) + - J21L*(PDupwindNthSymm2B2 - PDupwindNthSymm2Xt2) + - J31L*(PDupwindNthSymm3B2 - PDupwindNthSymm3Xt2))*Abs(beta1L) + - (J12L*(PDupwindNthSymm1B2 - PDupwindNthSymm1Xt2) + - J22L*(PDupwindNthSymm2B2 - PDupwindNthSymm2Xt2) + - J32L*(PDupwindNthSymm3B2 - PDupwindNthSymm3Xt2))*Abs(beta2L) + - (J13L*(PDupwindNthSymm1B2 - PDupwindNthSymm1Xt2) + - J23L*(PDupwindNthSymm2B2 - PDupwindNthSymm2Xt2) + - J33L*(PDupwindNthSymm3B2 - PDupwindNthSymm3Xt2))*Abs(beta3L)); - - CCTK_REAL B3rhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1B3 + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2B3 + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3B3 + (dotXt3 - - B3L*BetaDriver*eta)*ShiftBCoeff + ShiftAdvectionCoeff*((beta1L*J11L + - beta2L*J12L + beta3L*J13L)*(PDupwindNthAnti1B3 - PDupwindNthAnti1Xt3) + - (beta1L*J21L + beta2L*J22L + beta3L*J23L)*(PDupwindNthAnti2B3 - - PDupwindNthAnti2Xt3) + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*(PDupwindNthAnti3B3 - PDupwindNthAnti3Xt3) + - (J11L*(PDupwindNthSymm1B3 - PDupwindNthSymm1Xt3) + - J21L*(PDupwindNthSymm2B3 - PDupwindNthSymm2Xt3) + - J31L*(PDupwindNthSymm3B3 - PDupwindNthSymm3Xt3))*Abs(beta1L) + - (J12L*(PDupwindNthSymm1B3 - PDupwindNthSymm1Xt3) + - J22L*(PDupwindNthSymm2B3 - PDupwindNthSymm2Xt3) + - J32L*(PDupwindNthSymm3B3 - PDupwindNthSymm3Xt3))*Abs(beta2L) + - (J13L*(PDupwindNthSymm1B3 - PDupwindNthSymm1Xt3) + - J23L*(PDupwindNthSymm2B3 - PDupwindNthSymm2Xt3) + - J33L*(PDupwindNthSymm3B3 - PDupwindNthSymm3Xt3))*Abs(beta3L)); - - - /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_RHS1); -} - -void ML_BSSN_MP_O8_RHS1(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_O8_RHS1_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHS2.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHS2.c deleted file mode 100644 index 4b8a2d2..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHS2.c +++ /dev/null @@ -1,1365 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_RHS2_SelectBCs(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_curvrhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_curvrhs."); - return; -} - -void ML_BSSN_MP_O8_RHS2_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_RHS2_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_RHS2_calc_every != ML_BSSN_MP_O8_RHS2_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_RHS2, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1alpha = INITVALUE; - // CCTK_REAL PDstandardNth2alpha = INITVALUE; - // CCTK_REAL PDstandardNth3alpha = INITVALUE; - // CCTK_REAL PDstandardNth11alpha = INITVALUE; - // CCTK_REAL PDstandardNth22alpha = INITVALUE; - // CCTK_REAL PDstandardNth33alpha = INITVALUE; - // CCTK_REAL PDstandardNth12alpha = INITVALUE; - // CCTK_REAL PDstandardNth13alpha = INITVALUE; - // CCTK_REAL PDstandardNth23alpha = INITVALUE; - // CCTK_REAL PDdissipationNth1At11 = INITVALUE; - // CCTK_REAL PDdissipationNth2At11 = INITVALUE; - // CCTK_REAL PDdissipationNth3At11 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1At11 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1At11 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2At11 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2At11 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3At11 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3At11 = INITVALUE; - // CCTK_REAL PDdissipationNth1At12 = INITVALUE; - // CCTK_REAL PDdissipationNth2At12 = INITVALUE; - // CCTK_REAL PDdissipationNth3At12 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1At12 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1At12 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2At12 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2At12 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3At12 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3At12 = INITVALUE; - // CCTK_REAL PDdissipationNth1At13 = INITVALUE; - // CCTK_REAL PDdissipationNth2At13 = INITVALUE; - // CCTK_REAL PDdissipationNth3At13 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1At13 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1At13 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2At13 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2At13 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3At13 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3At13 = INITVALUE; - // CCTK_REAL PDdissipationNth1At22 = INITVALUE; - // CCTK_REAL PDdissipationNth2At22 = INITVALUE; - // CCTK_REAL PDdissipationNth3At22 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1At22 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1At22 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2At22 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2At22 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3At22 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3At22 = INITVALUE; - // CCTK_REAL PDdissipationNth1At23 = INITVALUE; - // CCTK_REAL PDdissipationNth2At23 = INITVALUE; - // CCTK_REAL PDdissipationNth3At23 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1At23 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1At23 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2At23 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2At23 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3At23 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3At23 = INITVALUE; - // CCTK_REAL PDdissipationNth1At33 = INITVALUE; - // CCTK_REAL PDdissipationNth2At33 = INITVALUE; - // CCTK_REAL PDdissipationNth3At33 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1At33 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1At33 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2At33 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2At33 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3At33 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3At33 = INITVALUE; - // CCTK_REAL PDstandardNth1beta1 = INITVALUE; - // CCTK_REAL PDstandardNth2beta1 = INITVALUE; - // CCTK_REAL PDstandardNth3beta1 = INITVALUE; - // CCTK_REAL PDstandardNth1beta2 = INITVALUE; - // CCTK_REAL PDstandardNth2beta2 = INITVALUE; - // CCTK_REAL PDstandardNth3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth1beta3 = INITVALUE; - // CCTK_REAL PDstandardNth2beta3 = INITVALUE; - // CCTK_REAL PDstandardNth3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth11phi = INITVALUE; - // CCTK_REAL PDstandardNth22phi = INITVALUE; - // CCTK_REAL PDstandardNth33phi = INITVALUE; - // CCTK_REAL PDstandardNth12phi = INITVALUE; - // CCTK_REAL PDstandardNth13phi = INITVALUE; - // CCTK_REAL PDstandardNth23phi = INITVALUE; - // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; - - /* Assign local copies of grid functions */ - CCTK_REAL alphaL = alpha[index]; - CCTK_REAL At11L = At11[index]; - CCTK_REAL At12L = At12[index]; - CCTK_REAL At13L = At13[index]; - CCTK_REAL At22L = At22[index]; - CCTK_REAL At23L = At23[index]; - CCTK_REAL At33L = At33[index]; - CCTK_REAL beta1L = beta1[index]; - CCTK_REAL beta2L = beta2[index]; - CCTK_REAL beta3L = beta3[index]; - CCTK_REAL dJ111L = dJ111[index]; - CCTK_REAL dJ112L = dJ112[index]; - CCTK_REAL dJ113L = dJ113[index]; - CCTK_REAL dJ122L = dJ122[index]; - CCTK_REAL dJ123L = dJ123[index]; - CCTK_REAL dJ133L = dJ133[index]; - CCTK_REAL dJ211L = dJ211[index]; - CCTK_REAL dJ212L = dJ212[index]; - CCTK_REAL dJ213L = dJ213[index]; - CCTK_REAL dJ222L = dJ222[index]; - CCTK_REAL dJ223L = dJ223[index]; - CCTK_REAL dJ233L = dJ233[index]; - CCTK_REAL dJ311L = dJ311[index]; - CCTK_REAL dJ312L = dJ312[index]; - CCTK_REAL dJ313L = dJ313[index]; - CCTK_REAL dJ322L = dJ322[index]; - CCTK_REAL dJ323L = dJ323[index]; - CCTK_REAL dJ333L = dJ333[index]; - CCTK_REAL eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; - CCTK_REAL eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; - CCTK_REAL eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; - CCTK_REAL eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; - CCTK_REAL eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; - CCTK_REAL eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; - CCTK_REAL gt11L = gt11[index]; - CCTK_REAL gt12L = gt12[index]; - CCTK_REAL gt13L = gt13[index]; - CCTK_REAL gt22L = gt22[index]; - CCTK_REAL gt23L = gt23[index]; - CCTK_REAL gt33L = gt33[index]; - CCTK_REAL J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[index]; - CCTK_REAL phiL = phi[index]; - CCTK_REAL trKL = trK[index]; - CCTK_REAL Xt1L = Xt1[index]; - CCTK_REAL Xt2L = Xt2[index]; - CCTK_REAL Xt3L = Xt3[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); - CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); - CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); - CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - CCTK_REAL const PDdissipationNth1At11 = PDdissipationNth1(At11, i, j, k); - CCTK_REAL const PDdissipationNth2At11 = PDdissipationNth2(At11, i, j, k); - CCTK_REAL const PDdissipationNth3At11 = PDdissipationNth3(At11, i, j, k); - CCTK_REAL const PDupwindNthAnti1At11 = PDupwindNthAnti1(At11, i, j, k); - CCTK_REAL const PDupwindNthSymm1At11 = PDupwindNthSymm1(At11, i, j, k); - CCTK_REAL const PDupwindNthAnti2At11 = PDupwindNthAnti2(At11, i, j, k); - CCTK_REAL const PDupwindNthSymm2At11 = PDupwindNthSymm2(At11, i, j, k); - CCTK_REAL const PDupwindNthAnti3At11 = PDupwindNthAnti3(At11, i, j, k); - CCTK_REAL const PDupwindNthSymm3At11 = PDupwindNthSymm3(At11, i, j, k); - CCTK_REAL const PDdissipationNth1At12 = PDdissipationNth1(At12, i, j, k); - CCTK_REAL const PDdissipationNth2At12 = PDdissipationNth2(At12, i, j, k); - CCTK_REAL const PDdissipationNth3At12 = PDdissipationNth3(At12, i, j, k); - CCTK_REAL const PDupwindNthAnti1At12 = PDupwindNthAnti1(At12, i, j, k); - CCTK_REAL const PDupwindNthSymm1At12 = PDupwindNthSymm1(At12, i, j, k); - CCTK_REAL const PDupwindNthAnti2At12 = PDupwindNthAnti2(At12, i, j, k); - CCTK_REAL const PDupwindNthSymm2At12 = PDupwindNthSymm2(At12, i, j, k); - CCTK_REAL const PDupwindNthAnti3At12 = PDupwindNthAnti3(At12, i, j, k); - CCTK_REAL const PDupwindNthSymm3At12 = PDupwindNthSymm3(At12, i, j, k); - CCTK_REAL const PDdissipationNth1At13 = PDdissipationNth1(At13, i, j, k); - CCTK_REAL const PDdissipationNth2At13 = PDdissipationNth2(At13, i, j, k); - CCTK_REAL const PDdissipationNth3At13 = PDdissipationNth3(At13, i, j, k); - CCTK_REAL const PDupwindNthAnti1At13 = PDupwindNthAnti1(At13, i, j, k); - CCTK_REAL const PDupwindNthSymm1At13 = PDupwindNthSymm1(At13, i, j, k); - CCTK_REAL const PDupwindNthAnti2At13 = PDupwindNthAnti2(At13, i, j, k); - CCTK_REAL const PDupwindNthSymm2At13 = PDupwindNthSymm2(At13, i, j, k); - CCTK_REAL const PDupwindNthAnti3At13 = PDupwindNthAnti3(At13, i, j, k); - CCTK_REAL const PDupwindNthSymm3At13 = PDupwindNthSymm3(At13, i, j, k); - CCTK_REAL const PDdissipationNth1At22 = PDdissipationNth1(At22, i, j, k); - CCTK_REAL const PDdissipationNth2At22 = PDdissipationNth2(At22, i, j, k); - CCTK_REAL const PDdissipationNth3At22 = PDdissipationNth3(At22, i, j, k); - CCTK_REAL const PDupwindNthAnti1At22 = PDupwindNthAnti1(At22, i, j, k); - CCTK_REAL const PDupwindNthSymm1At22 = PDupwindNthSymm1(At22, i, j, k); - CCTK_REAL const PDupwindNthAnti2At22 = PDupwindNthAnti2(At22, i, j, k); - CCTK_REAL const PDupwindNthSymm2At22 = PDupwindNthSymm2(At22, i, j, k); - CCTK_REAL const PDupwindNthAnti3At22 = PDupwindNthAnti3(At22, i, j, k); - CCTK_REAL const PDupwindNthSymm3At22 = PDupwindNthSymm3(At22, i, j, k); - CCTK_REAL const PDdissipationNth1At23 = PDdissipationNth1(At23, i, j, k); - CCTK_REAL const PDdissipationNth2At23 = PDdissipationNth2(At23, i, j, k); - CCTK_REAL const PDdissipationNth3At23 = PDdissipationNth3(At23, i, j, k); - CCTK_REAL const PDupwindNthAnti1At23 = PDupwindNthAnti1(At23, i, j, k); - CCTK_REAL const PDupwindNthSymm1At23 = PDupwindNthSymm1(At23, i, j, k); - CCTK_REAL const PDupwindNthAnti2At23 = PDupwindNthAnti2(At23, i, j, k); - CCTK_REAL const PDupwindNthSymm2At23 = PDupwindNthSymm2(At23, i, j, k); - CCTK_REAL const PDupwindNthAnti3At23 = PDupwindNthAnti3(At23, i, j, k); - CCTK_REAL const PDupwindNthSymm3At23 = PDupwindNthSymm3(At23, i, j, k); - CCTK_REAL const PDdissipationNth1At33 = PDdissipationNth1(At33, i, j, k); - CCTK_REAL const PDdissipationNth2At33 = PDdissipationNth2(At33, i, j, k); - CCTK_REAL const PDdissipationNth3At33 = PDdissipationNth3(At33, i, j, k); - CCTK_REAL const PDupwindNthAnti1At33 = PDupwindNthAnti1(At33, i, j, k); - CCTK_REAL const PDupwindNthSymm1At33 = PDupwindNthSymm1(At33, i, j, k); - CCTK_REAL const PDupwindNthAnti2At33 = PDupwindNthAnti2(At33, i, j, k); - CCTK_REAL const PDupwindNthSymm2At33 = PDupwindNthSymm2(At33, i, j, k); - CCTK_REAL const PDupwindNthAnti3At33 = PDupwindNthAnti3(At33, i, j, k); - CCTK_REAL const PDupwindNthSymm3At33 = PDupwindNthSymm3(At33, i, j, k); - CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL epsdiss1 = EpsDiss; - - CCTK_REAL epsdiss2 = EpsDiss; - - CCTK_REAL epsdiss3 = EpsDiss; - - CCTK_REAL detgt = 1; - - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL gtu12 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL gtu13 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL gtu23 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - CCTK_REAL Gtl111 = khalf*(J11L*PDstandardNth1gt11 + - J21L*PDstandardNth2gt11 + J31L*PDstandardNth3gt11); - - CCTK_REAL Gtl112 = khalf*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11); - - CCTK_REAL Gtl113 = khalf*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11); - - CCTK_REAL Gtl122 = J12L*PDstandardNth1gt12 - - J11L*khalf*PDstandardNth1gt22 + J22L*PDstandardNth2gt12 - - J21L*khalf*PDstandardNth2gt22 + J32L*PDstandardNth3gt12 - - J31L*khalf*PDstandardNth3gt22; - - CCTK_REAL Gtl123 = khalf*(J13L*PDstandardNth1gt12 + - J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl133 = J13L*PDstandardNth1gt13 - - J11L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt13 - - J21L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt13 - - J31L*khalf*PDstandardNth3gt33; - - CCTK_REAL Gtl211 = -(J12L*khalf*PDstandardNth1gt11) + - J11L*PDstandardNth1gt12 - J22L*khalf*PDstandardNth2gt11 + - J21L*PDstandardNth2gt12 - J32L*khalf*PDstandardNth3gt11 + - J31L*PDstandardNth3gt12; - - CCTK_REAL Gtl212 = khalf*(J11L*PDstandardNth1gt22 + - J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22); - - CCTK_REAL Gtl213 = khalf*(J13L*PDstandardNth1gt12 - - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl222 = khalf*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22); - - CCTK_REAL Gtl223 = khalf*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22); - - CCTK_REAL Gtl233 = J13L*PDstandardNth1gt23 - - J12L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt23 - - J22L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt23 - - J32L*khalf*PDstandardNth3gt33; - - CCTK_REAL Gtl311 = -(J13L*khalf*PDstandardNth1gt11) + - J11L*PDstandardNth1gt13 - J23L*khalf*PDstandardNth2gt11 + - J21L*PDstandardNth2gt13 - J33L*khalf*PDstandardNth3gt11 + - J31L*PDstandardNth3gt13; - - CCTK_REAL Gtl312 = khalf*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl313 = khalf*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33); - - CCTK_REAL Gtl322 = -(J13L*khalf*PDstandardNth1gt22) + - J12L*PDstandardNth1gt23 - J23L*khalf*PDstandardNth2gt22 + - J22L*PDstandardNth2gt23 - J33L*khalf*PDstandardNth3gt22 + - J32L*PDstandardNth3gt23; - - CCTK_REAL Gtl323 = khalf*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33); - - CCTK_REAL Gtl333 = khalf*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33); - - CCTK_REAL Gtlu111 = Gtl111*gtu11 + Gtl112*gtu12 + Gtl113*gtu13; - - CCTK_REAL Gtlu112 = Gtl111*gtu12 + Gtl112*gtu22 + Gtl113*gtu23; - - CCTK_REAL Gtlu113 = Gtl111*gtu13 + Gtl112*gtu23 + Gtl113*gtu33; - - CCTK_REAL Gtlu121 = Gtl112*gtu11 + Gtl122*gtu12 + Gtl123*gtu13; - - CCTK_REAL Gtlu122 = Gtl112*gtu12 + Gtl122*gtu22 + Gtl123*gtu23; - - CCTK_REAL Gtlu123 = Gtl112*gtu13 + Gtl122*gtu23 + Gtl123*gtu33; - - CCTK_REAL Gtlu131 = Gtl113*gtu11 + Gtl123*gtu12 + Gtl133*gtu13; - - CCTK_REAL Gtlu132 = Gtl113*gtu12 + Gtl123*gtu22 + Gtl133*gtu23; - - CCTK_REAL Gtlu133 = Gtl113*gtu13 + Gtl123*gtu23 + Gtl133*gtu33; - - CCTK_REAL Gtlu211 = Gtl211*gtu11 + Gtl212*gtu12 + Gtl213*gtu13; - - CCTK_REAL Gtlu212 = Gtl211*gtu12 + Gtl212*gtu22 + Gtl213*gtu23; - - CCTK_REAL Gtlu213 = Gtl211*gtu13 + Gtl212*gtu23 + Gtl213*gtu33; - - CCTK_REAL Gtlu221 = Gtl212*gtu11 + Gtl222*gtu12 + Gtl223*gtu13; - - CCTK_REAL Gtlu222 = Gtl212*gtu12 + Gtl222*gtu22 + Gtl223*gtu23; - - CCTK_REAL Gtlu223 = Gtl212*gtu13 + Gtl222*gtu23 + Gtl223*gtu33; - - CCTK_REAL Gtlu231 = Gtl213*gtu11 + Gtl223*gtu12 + Gtl233*gtu13; - - CCTK_REAL Gtlu232 = Gtl213*gtu12 + Gtl223*gtu22 + Gtl233*gtu23; - - CCTK_REAL Gtlu233 = Gtl213*gtu13 + Gtl223*gtu23 + Gtl233*gtu33; - - CCTK_REAL Gtlu311 = Gtl311*gtu11 + Gtl312*gtu12 + Gtl313*gtu13; - - CCTK_REAL Gtlu312 = Gtl311*gtu12 + Gtl312*gtu22 + Gtl313*gtu23; - - CCTK_REAL Gtlu313 = Gtl311*gtu13 + Gtl312*gtu23 + Gtl313*gtu33; - - CCTK_REAL Gtlu321 = Gtl312*gtu11 + Gtl322*gtu12 + Gtl323*gtu13; - - CCTK_REAL Gtlu322 = Gtl312*gtu12 + Gtl322*gtu22 + Gtl323*gtu23; - - CCTK_REAL Gtlu323 = Gtl312*gtu13 + Gtl322*gtu23 + Gtl323*gtu33; - - CCTK_REAL Gtlu331 = Gtl313*gtu11 + Gtl323*gtu12 + Gtl333*gtu13; - - CCTK_REAL Gtlu332 = Gtl313*gtu12 + Gtl323*gtu22 + Gtl333*gtu23; - - CCTK_REAL Gtlu333 = Gtl313*gtu13 + Gtl323*gtu23 + Gtl333*gtu33; - - CCTK_REAL Gt111 = Gtl111*gtu11 + Gtl211*gtu12 + Gtl311*gtu13; - - CCTK_REAL Gt211 = Gtl111*gtu12 + Gtl211*gtu22 + Gtl311*gtu23; - - CCTK_REAL Gt311 = Gtl111*gtu13 + Gtl211*gtu23 + Gtl311*gtu33; - - CCTK_REAL Gt112 = Gtl112*gtu11 + Gtl212*gtu12 + Gtl312*gtu13; - - CCTK_REAL Gt212 = Gtl112*gtu12 + Gtl212*gtu22 + Gtl312*gtu23; - - CCTK_REAL Gt312 = Gtl112*gtu13 + Gtl212*gtu23 + Gtl312*gtu33; - - CCTK_REAL Gt113 = Gtl113*gtu11 + Gtl213*gtu12 + Gtl313*gtu13; - - CCTK_REAL Gt213 = Gtl113*gtu12 + Gtl213*gtu22 + Gtl313*gtu23; - - CCTK_REAL Gt313 = Gtl113*gtu13 + Gtl213*gtu23 + Gtl313*gtu33; - - CCTK_REAL Gt122 = Gtl122*gtu11 + Gtl222*gtu12 + Gtl322*gtu13; - - CCTK_REAL Gt222 = Gtl122*gtu12 + Gtl222*gtu22 + Gtl322*gtu23; - - CCTK_REAL Gt322 = Gtl122*gtu13 + Gtl222*gtu23 + Gtl322*gtu33; - - CCTK_REAL Gt123 = Gtl123*gtu11 + Gtl223*gtu12 + Gtl323*gtu13; - - CCTK_REAL Gt223 = Gtl123*gtu12 + Gtl223*gtu22 + Gtl323*gtu23; - - CCTK_REAL Gt323 = Gtl123*gtu13 + Gtl223*gtu23 + Gtl323*gtu33; - - CCTK_REAL Gt133 = Gtl133*gtu11 + Gtl233*gtu12 + Gtl333*gtu13; - - CCTK_REAL Gt233 = Gtl133*gtu12 + Gtl233*gtu22 + Gtl333*gtu23; - - CCTK_REAL Gt333 = Gtl133*gtu13 + Gtl233*gtu23 + Gtl333*gtu33; - - CCTK_REAL Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu12 + - Gt113*gtu13 + Gt123*gtu23) + Gt133*gtu33; - - CCTK_REAL Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu12 + - Gt213*gtu13 + Gt223*gtu23) + Gt233*gtu33; - - CCTK_REAL Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu12 + - Gt313*gtu13 + Gt323*gtu23) + Gt333*gtu33; - - CCTK_REAL Rt11 = 3*(Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113) + - 2*(Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + - Gt312*Gtlu132 + Gt313*Gtlu133) + Gt211*Gtlu211 + Gt212*Gtlu212 + - Gt213*Gtlu213 + Gt311*Gtlu311 + Gt312*Gtlu312 + Gt313*Gtlu313 + - J11L*(gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + - gt13L*PDstandardNth1Xt3) + J21L*(gt11L*PDstandardNth2Xt1 + - gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3) + - J31L*(gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + - gt13L*PDstandardNth3Xt3) + Gtl111*Xtn1 + Gtl112*Xtn2 + Gtl113*Xtn3 + - khalf*(-2*(gtu12*(J11L*J12L*PDstandardNth11gt11 + - J12L*J21L*PDstandardNth12gt11 + J11L*J22L*PDstandardNth12gt11 + - J12L*J31L*PDstandardNth13gt11 + J11L*J32L*PDstandardNth13gt11 + - dJ112L*PDstandardNth1gt11 + J21L*J22L*PDstandardNth22gt11 + - J22L*J31L*PDstandardNth23gt11 + J21L*J32L*PDstandardNth23gt11 + - dJ212L*PDstandardNth2gt11 + J31L*J32L*PDstandardNth33gt11 + - dJ312L*PDstandardNth3gt11) + gtu13*(J11L*J13L*PDstandardNth11gt11 + - J13L*J21L*PDstandardNth12gt11 + J11L*J23L*PDstandardNth12gt11 + - J13L*J31L*PDstandardNth13gt11 + J11L*J33L*PDstandardNth13gt11 + - dJ113L*PDstandardNth1gt11 + J21L*J23L*PDstandardNth22gt11 + - J23L*J31L*PDstandardNth23gt11 + J21L*J33L*PDstandardNth23gt11 + - dJ213L*PDstandardNth2gt11 + J31L*J33L*PDstandardNth33gt11 + - dJ313L*PDstandardNth3gt11) + gtu23*(J12L*J13L*PDstandardNth11gt11 + - J13L*J22L*PDstandardNth12gt11 + J12L*J23L*PDstandardNth12gt11 + - J13L*J32L*PDstandardNth13gt11 + J12L*J33L*PDstandardNth13gt11 + - dJ123L*PDstandardNth1gt11 + J22L*J23L*PDstandardNth22gt11 + - J23L*J32L*PDstandardNth23gt11 + J22L*J33L*PDstandardNth23gt11 + - dJ223L*PDstandardNth2gt11 + J32L*J33L*PDstandardNth33gt11 + - dJ323L*PDstandardNth3gt11)) - gtu11*(2*J11L*J21L*PDstandardNth12gt11 + - 2*J11L*J31L*PDstandardNth13gt11 + dJ111L*PDstandardNth1gt11 + - 2*J21L*J31L*PDstandardNth23gt11 + dJ211L*PDstandardNth2gt11 + - dJ311L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J11L) + - PDstandardNth22gt11*SQR(J21L) + PDstandardNth33gt11*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt11 + - 2*J12L*J32L*PDstandardNth13gt11 + dJ122L*PDstandardNth1gt11 + - 2*J22L*J32L*PDstandardNth23gt11 + dJ222L*PDstandardNth2gt11 + - dJ322L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J12L) + - PDstandardNth22gt11*SQR(J22L) + PDstandardNth33gt11*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt11 + - 2*J13L*J33L*PDstandardNth13gt11 + dJ133L*PDstandardNth1gt11 + - 2*J23L*J33L*PDstandardNth23gt11 + dJ233L*PDstandardNth2gt11 + - dJ333L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J13L) + - PDstandardNth22gt11*SQR(J23L) + PDstandardNth33gt11*SQR(J33L))); - - CCTK_REAL Rt12 = Gt122*Gtlu112 + Gt123*Gtlu113 + (Gt111 + - Gt212)*Gtlu121 + Gt222*Gtlu122 + (Gt113 + Gt223)*Gtlu123 + - Gt322*Gtlu132 + Gt323*Gtlu133 + Gt111*Gtlu211 + Gt112*(Gtlu111 + - Gtlu122 + Gtlu212) + Gt113*Gtlu213 + 2*(Gt211*Gtlu221 + Gt212*Gtlu222 + - Gt213*Gtlu223) + Gt311*(Gtlu231 + Gtlu321) + Gt312*(Gtlu131 + Gtlu232 + - Gtlu322) + Gt313*(Gtlu233 + Gtlu323) + khalf*((gt12L*J11L + - gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + - gt12L*J12L)*PDstandardNth1Xt2 + (gt23L*J11L + - gt13L*J12L)*PDstandardNth1Xt3 + (gt12L*J21L + - gt11L*J22L)*PDstandardNth2Xt1 + (gt22L*J21L + - gt12L*J22L)*PDstandardNth2Xt2 + (gt23L*J21L + - gt13L*J22L)*PDstandardNth2Xt3 - 2*(gtu12*(J11L*J12L*PDstandardNth11gt12 - + J12L*J21L*PDstandardNth12gt12 + J11L*J22L*PDstandardNth12gt12 + - J12L*J31L*PDstandardNth13gt12 + J11L*J32L*PDstandardNth13gt12 + - dJ112L*PDstandardNth1gt12 + J21L*J22L*PDstandardNth22gt12 + - J22L*J31L*PDstandardNth23gt12 + J21L*J32L*PDstandardNth23gt12 + - dJ212L*PDstandardNth2gt12 + J31L*J32L*PDstandardNth33gt12 + - dJ312L*PDstandardNth3gt12) + gtu13*(J11L*J13L*PDstandardNth11gt12 + - J13L*J21L*PDstandardNth12gt12 + J11L*J23L*PDstandardNth12gt12 + - J13L*J31L*PDstandardNth13gt12 + J11L*J33L*PDstandardNth13gt12 + - dJ113L*PDstandardNth1gt12 + J21L*J23L*PDstandardNth22gt12 + - J23L*J31L*PDstandardNth23gt12 + J21L*J33L*PDstandardNth23gt12 + - dJ213L*PDstandardNth2gt12 + J31L*J33L*PDstandardNth33gt12 + - dJ313L*PDstandardNth3gt12) + gtu23*(J12L*J13L*PDstandardNth11gt12 + - J13L*J22L*PDstandardNth12gt12 + J12L*J23L*PDstandardNth12gt12 + - J13L*J32L*PDstandardNth13gt12 + J12L*J33L*PDstandardNth13gt12 + - dJ123L*PDstandardNth1gt12 + J22L*J23L*PDstandardNth22gt12 + - J23L*J32L*PDstandardNth23gt12 + J22L*J33L*PDstandardNth23gt12 + - dJ223L*PDstandardNth2gt12 + J32L*J33L*PDstandardNth33gt12 + - dJ323L*PDstandardNth3gt12)) + (gt12L*J31L + - gt11L*J32L)*PDstandardNth3Xt1 + (gt22L*J31L + - gt12L*J32L)*PDstandardNth3Xt2 + (gt23L*J31L + - gt13L*J32L)*PDstandardNth3Xt3 + (Gtl112 + Gtl211)*Xtn1 + (Gtl122 + - Gtl212)*Xtn2 + (Gtl123 + Gtl213)*Xtn3 - - gtu11*(2*J11L*J21L*PDstandardNth12gt12 + - 2*J11L*J31L*PDstandardNth13gt12 + dJ111L*PDstandardNth1gt12 + - 2*J21L*J31L*PDstandardNth23gt12 + dJ211L*PDstandardNth2gt12 + - dJ311L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J11L) + - PDstandardNth22gt12*SQR(J21L) + PDstandardNth33gt12*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt12 + - 2*J12L*J32L*PDstandardNth13gt12 + dJ122L*PDstandardNth1gt12 + - 2*J22L*J32L*PDstandardNth23gt12 + dJ222L*PDstandardNth2gt12 + - dJ322L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J12L) + - PDstandardNth22gt12*SQR(J22L) + PDstandardNth33gt12*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt12 + - 2*J13L*J33L*PDstandardNth13gt12 + dJ133L*PDstandardNth1gt12 + - 2*J23L*J33L*PDstandardNth23gt12 + dJ233L*PDstandardNth2gt12 + - dJ333L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J13L) + - PDstandardNth22gt12*SQR(J23L) + PDstandardNth33gt12*SQR(J33L))); - - CCTK_REAL Rt13 = Gt123*Gtlu112 + Gt133*Gtlu113 + Gt223*Gtlu122 + - Gt233*Gtlu123 + (Gt111 + Gt313)*Gtlu131 + (Gt112 + Gt323)*Gtlu132 + - Gt333*Gtlu133 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*(Gtlu111 + - Gtlu133 + Gtlu313) + Gt211*(Gtlu231 + Gtlu321) + Gt212*(Gtlu232 + - Gtlu322) + Gt213*(Gtlu121 + Gtlu233 + Gtlu323) + 2*(Gt311*Gtlu331 + - Gt312*Gtlu332 + Gt313*Gtlu333) + khalf*((gt13L*J11L + - gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + - gt12L*J13L)*PDstandardNth1Xt2 + (gt33L*J11L + - gt13L*J13L)*PDstandardNth1Xt3 + (gt13L*J21L + - gt11L*J23L)*PDstandardNth2Xt1 + (gt23L*J21L + - gt12L*J23L)*PDstandardNth2Xt2 + (gt33L*J21L + - gt13L*J23L)*PDstandardNth2Xt3 - 2*(gtu12*(J11L*J12L*PDstandardNth11gt13 - + J12L*J21L*PDstandardNth12gt13 + J11L*J22L*PDstandardNth12gt13 + - J12L*J31L*PDstandardNth13gt13 + J11L*J32L*PDstandardNth13gt13 + - dJ112L*PDstandardNth1gt13 + J21L*J22L*PDstandardNth22gt13 + - J22L*J31L*PDstandardNth23gt13 + J21L*J32L*PDstandardNth23gt13 + - dJ212L*PDstandardNth2gt13 + J31L*J32L*PDstandardNth33gt13 + - dJ312L*PDstandardNth3gt13) + gtu13*(J11L*J13L*PDstandardNth11gt13 + - J13L*J21L*PDstandardNth12gt13 + J11L*J23L*PDstandardNth12gt13 + - J13L*J31L*PDstandardNth13gt13 + J11L*J33L*PDstandardNth13gt13 + - dJ113L*PDstandardNth1gt13 + J21L*J23L*PDstandardNth22gt13 + - J23L*J31L*PDstandardNth23gt13 + J21L*J33L*PDstandardNth23gt13 + - dJ213L*PDstandardNth2gt13 + J31L*J33L*PDstandardNth33gt13 + - dJ313L*PDstandardNth3gt13) + gtu23*(J12L*J13L*PDstandardNth11gt13 + - J13L*J22L*PDstandardNth12gt13 + J12L*J23L*PDstandardNth12gt13 + - J13L*J32L*PDstandardNth13gt13 + J12L*J33L*PDstandardNth13gt13 + - dJ123L*PDstandardNth1gt13 + J22L*J23L*PDstandardNth22gt13 + - J23L*J32L*PDstandardNth23gt13 + J22L*J33L*PDstandardNth23gt13 + - dJ223L*PDstandardNth2gt13 + J32L*J33L*PDstandardNth33gt13 + - dJ323L*PDstandardNth3gt13)) + (gt13L*J31L + - gt11L*J33L)*PDstandardNth3Xt1 + (gt23L*J31L + - gt12L*J33L)*PDstandardNth3Xt2 + (gt33L*J31L + - gt13L*J33L)*PDstandardNth3Xt3 + (Gtl113 + Gtl311)*Xtn1 + (Gtl123 + - Gtl312)*Xtn2 + (Gtl133 + Gtl313)*Xtn3 - - gtu11*(2*J11L*J21L*PDstandardNth12gt13 + - 2*J11L*J31L*PDstandardNth13gt13 + dJ111L*PDstandardNth1gt13 + - 2*J21L*J31L*PDstandardNth23gt13 + dJ211L*PDstandardNth2gt13 + - dJ311L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J11L) + - PDstandardNth22gt13*SQR(J21L) + PDstandardNth33gt13*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt13 + - 2*J12L*J32L*PDstandardNth13gt13 + dJ122L*PDstandardNth1gt13 + - 2*J22L*J32L*PDstandardNth23gt13 + dJ222L*PDstandardNth2gt13 + - dJ322L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J12L) + - PDstandardNth22gt13*SQR(J22L) + PDstandardNth33gt13*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt13 + - 2*J13L*J33L*PDstandardNth13gt13 + dJ133L*PDstandardNth1gt13 + - 2*J23L*J33L*PDstandardNth23gt13 + dJ233L*PDstandardNth2gt13 + - dJ333L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J13L) + - PDstandardNth22gt13*SQR(J23L) + PDstandardNth33gt13*SQR(J33L))); - - CCTK_REAL Rt22 = Gt112*(Gtlu121 + 2*Gtlu211) + Gt122*(Gtlu122 + - 2*Gtlu212) + Gt123*(Gtlu123 + 2*Gtlu213) + 3*(Gt212*Gtlu221 + - Gt222*Gtlu222 + Gt223*Gtlu223) + 2*(Gt312*Gtlu231 + Gt322*Gtlu232 + - Gt323*Gtlu233) + Gt312*Gtlu321 + Gt322*Gtlu322 + Gt323*Gtlu323 + - J12L*(gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + - gt23L*PDstandardNth1Xt3) + J22L*(gt12L*PDstandardNth2Xt1 + - gt22L*PDstandardNth2Xt2 + gt23L*PDstandardNth2Xt3) + - J32L*(gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + - gt23L*PDstandardNth3Xt3) + Gtl212*Xtn1 + Gtl222*Xtn2 + Gtl223*Xtn3 + - khalf*(-2*(gtu12*(J11L*J12L*PDstandardNth11gt22 + - J12L*J21L*PDstandardNth12gt22 + J11L*J22L*PDstandardNth12gt22 + - J12L*J31L*PDstandardNth13gt22 + J11L*J32L*PDstandardNth13gt22 + - dJ112L*PDstandardNth1gt22 + J21L*J22L*PDstandardNth22gt22 + - J22L*J31L*PDstandardNth23gt22 + J21L*J32L*PDstandardNth23gt22 + - dJ212L*PDstandardNth2gt22 + J31L*J32L*PDstandardNth33gt22 + - dJ312L*PDstandardNth3gt22) + gtu13*(J11L*J13L*PDstandardNth11gt22 + - J13L*J21L*PDstandardNth12gt22 + J11L*J23L*PDstandardNth12gt22 + - J13L*J31L*PDstandardNth13gt22 + J11L*J33L*PDstandardNth13gt22 + - dJ113L*PDstandardNth1gt22 + J21L*J23L*PDstandardNth22gt22 + - J23L*J31L*PDstandardNth23gt22 + J21L*J33L*PDstandardNth23gt22 + - dJ213L*PDstandardNth2gt22 + J31L*J33L*PDstandardNth33gt22 + - dJ313L*PDstandardNth3gt22) + gtu23*(J12L*J13L*PDstandardNth11gt22 + - J13L*J22L*PDstandardNth12gt22 + J12L*J23L*PDstandardNth12gt22 + - J13L*J32L*PDstandardNth13gt22 + J12L*J33L*PDstandardNth13gt22 + - dJ123L*PDstandardNth1gt22 + J22L*J23L*PDstandardNth22gt22 + - J23L*J32L*PDstandardNth23gt22 + J22L*J33L*PDstandardNth23gt22 + - dJ223L*PDstandardNth2gt22 + J32L*J33L*PDstandardNth33gt22 + - dJ323L*PDstandardNth3gt22)) - gtu11*(2*J11L*J21L*PDstandardNth12gt22 + - 2*J11L*J31L*PDstandardNth13gt22 + dJ111L*PDstandardNth1gt22 + - 2*J21L*J31L*PDstandardNth23gt22 + dJ211L*PDstandardNth2gt22 + - dJ311L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J11L) + - PDstandardNth22gt22*SQR(J21L) + PDstandardNth33gt22*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt22 + - 2*J12L*J32L*PDstandardNth13gt22 + dJ122L*PDstandardNth1gt22 + - 2*J22L*J32L*PDstandardNth23gt22 + dJ222L*PDstandardNth2gt22 + - dJ322L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J12L) + - PDstandardNth22gt22*SQR(J22L) + PDstandardNth33gt22*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt22 + - 2*J13L*J33L*PDstandardNth13gt22 + dJ133L*PDstandardNth1gt22 + - 2*J23L*J33L*PDstandardNth23gt22 + dJ233L*PDstandardNth2gt22 + - dJ333L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J13L) + - PDstandardNth22gt22*SQR(J23L) + PDstandardNth33gt22*SQR(J33L))); - - CCTK_REAL Rt23 = Gt113*Gtlu211 + Gt133*Gtlu213 + Gt213*Gtlu221 + - Gt233*Gtlu223 + (Gt212 + Gt313)*Gtlu231 + (Gt222 + Gt323)*Gtlu232 + - Gt333*Gtlu233 + Gt112*(Gtlu131 + Gtlu311) + Gt122*(Gtlu132 + Gtlu312) + - Gt123*(Gtlu133 + Gtlu212 + Gtlu313) + Gt212*Gtlu321 + Gt222*Gtlu322 + - Gt223*(Gtlu222 + Gtlu233 + Gtlu323) + 2*(Gt312*Gtlu331 + Gt322*Gtlu332 - + Gt323*Gtlu333) + khalf*((gt13L*J12L + gt12L*J13L)*PDstandardNth1Xt1 + - (gt23L*J12L + gt22L*J13L)*PDstandardNth1Xt2 + (gt33L*J12L + - gt23L*J13L)*PDstandardNth1Xt3 + (gt13L*J22L + - gt12L*J23L)*PDstandardNth2Xt1 + (gt23L*J22L + - gt22L*J23L)*PDstandardNth2Xt2 + (gt33L*J22L + - gt23L*J23L)*PDstandardNth2Xt3 - 2*(gtu12*(J11L*J12L*PDstandardNth11gt23 - + J12L*J21L*PDstandardNth12gt23 + J11L*J22L*PDstandardNth12gt23 + - J12L*J31L*PDstandardNth13gt23 + J11L*J32L*PDstandardNth13gt23 + - dJ112L*PDstandardNth1gt23 + J21L*J22L*PDstandardNth22gt23 + - J22L*J31L*PDstandardNth23gt23 + J21L*J32L*PDstandardNth23gt23 + - dJ212L*PDstandardNth2gt23 + J31L*J32L*PDstandardNth33gt23 + - dJ312L*PDstandardNth3gt23) + gtu13*(J11L*J13L*PDstandardNth11gt23 + - J13L*J21L*PDstandardNth12gt23 + J11L*J23L*PDstandardNth12gt23 + - J13L*J31L*PDstandardNth13gt23 + J11L*J33L*PDstandardNth13gt23 + - dJ113L*PDstandardNth1gt23 + J21L*J23L*PDstandardNth22gt23 + - J23L*J31L*PDstandardNth23gt23 + J21L*J33L*PDstandardNth23gt23 + - dJ213L*PDstandardNth2gt23 + J31L*J33L*PDstandardNth33gt23 + - dJ313L*PDstandardNth3gt23) + gtu23*(J12L*J13L*PDstandardNth11gt23 + - J13L*J22L*PDstandardNth12gt23 + J12L*J23L*PDstandardNth12gt23 + - J13L*J32L*PDstandardNth13gt23 + J12L*J33L*PDstandardNth13gt23 + - dJ123L*PDstandardNth1gt23 + J22L*J23L*PDstandardNth22gt23 + - J23L*J32L*PDstandardNth23gt23 + J22L*J33L*PDstandardNth23gt23 + - dJ223L*PDstandardNth2gt23 + J32L*J33L*PDstandardNth33gt23 + - dJ323L*PDstandardNth3gt23)) + (gt13L*J32L + - gt12L*J33L)*PDstandardNth3Xt1 + (gt23L*J32L + - gt22L*J33L)*PDstandardNth3Xt2 + (gt33L*J32L + - gt23L*J33L)*PDstandardNth3Xt3 + (Gtl213 + Gtl312)*Xtn1 + (Gtl223 + - Gtl322)*Xtn2 + (Gtl233 + Gtl323)*Xtn3 - - gtu11*(2*J11L*J21L*PDstandardNth12gt23 + - 2*J11L*J31L*PDstandardNth13gt23 + dJ111L*PDstandardNth1gt23 + - 2*J21L*J31L*PDstandardNth23gt23 + dJ211L*PDstandardNth2gt23 + - dJ311L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J11L) + - PDstandardNth22gt23*SQR(J21L) + PDstandardNth33gt23*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt23 + - 2*J12L*J32L*PDstandardNth13gt23 + dJ122L*PDstandardNth1gt23 + - 2*J22L*J32L*PDstandardNth23gt23 + dJ222L*PDstandardNth2gt23 + - dJ322L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J12L) + - PDstandardNth22gt23*SQR(J22L) + PDstandardNth33gt23*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt23 + - 2*J13L*J33L*PDstandardNth13gt23 + dJ133L*PDstandardNth1gt23 + - 2*J23L*J33L*PDstandardNth23gt23 + dJ233L*PDstandardNth2gt23 + - dJ333L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J13L) + - PDstandardNth22gt23*SQR(J23L) + PDstandardNth33gt23*SQR(J33L))); - - CCTK_REAL Rt33 = Gt113*(Gtlu131 + 2*Gtlu311) + Gt123*(Gtlu132 + - 2*Gtlu312) + Gt133*(Gtlu133 + 2*Gtlu313) + Gt213*(Gtlu231 + 2*Gtlu321) - + Gt223*(Gtlu232 + 2*Gtlu322) + Gt233*(Gtlu233 + 2*Gtlu323) + - 3*(Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333) + - J13L*(gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + - gt33L*PDstandardNth1Xt3) + J23L*(gt13L*PDstandardNth2Xt1 + - gt23L*PDstandardNth2Xt2 + gt33L*PDstandardNth2Xt3) + - J33L*(gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*PDstandardNth3Xt3) + Gtl313*Xtn1 + Gtl323*Xtn2 + Gtl333*Xtn3 + - khalf*(-2*(gtu12*(J11L*J12L*PDstandardNth11gt33 + - J12L*J21L*PDstandardNth12gt33 + J11L*J22L*PDstandardNth12gt33 + - J12L*J31L*PDstandardNth13gt33 + J11L*J32L*PDstandardNth13gt33 + - dJ112L*PDstandardNth1gt33 + J21L*J22L*PDstandardNth22gt33 + - J22L*J31L*PDstandardNth23gt33 + J21L*J32L*PDstandardNth23gt33 + - dJ212L*PDstandardNth2gt33 + J31L*J32L*PDstandardNth33gt33 + - dJ312L*PDstandardNth3gt33) + gtu13*(J11L*J13L*PDstandardNth11gt33 + - J13L*J21L*PDstandardNth12gt33 + J11L*J23L*PDstandardNth12gt33 + - J13L*J31L*PDstandardNth13gt33 + J11L*J33L*PDstandardNth13gt33 + - dJ113L*PDstandardNth1gt33 + J21L*J23L*PDstandardNth22gt33 + - J23L*J31L*PDstandardNth23gt33 + J21L*J33L*PDstandardNth23gt33 + - dJ213L*PDstandardNth2gt33 + J31L*J33L*PDstandardNth33gt33 + - dJ313L*PDstandardNth3gt33) + gtu23*(J12L*J13L*PDstandardNth11gt33 + - J13L*J22L*PDstandardNth12gt33 + J12L*J23L*PDstandardNth12gt33 + - J13L*J32L*PDstandardNth13gt33 + J12L*J33L*PDstandardNth13gt33 + - dJ123L*PDstandardNth1gt33 + J22L*J23L*PDstandardNth22gt33 + - J23L*J32L*PDstandardNth23gt33 + J22L*J33L*PDstandardNth23gt33 + - dJ223L*PDstandardNth2gt33 + J32L*J33L*PDstandardNth33gt33 + - dJ323L*PDstandardNth3gt33)) - gtu11*(2*J11L*J21L*PDstandardNth12gt33 + - 2*J11L*J31L*PDstandardNth13gt33 + dJ111L*PDstandardNth1gt33 + - 2*J21L*J31L*PDstandardNth23gt33 + dJ211L*PDstandardNth2gt33 + - dJ311L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J11L) + - PDstandardNth22gt33*SQR(J21L) + PDstandardNth33gt33*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt33 + - 2*J12L*J32L*PDstandardNth13gt33 + dJ122L*PDstandardNth1gt33 + - 2*J22L*J32L*PDstandardNth23gt33 + dJ222L*PDstandardNth2gt33 + - dJ322L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J12L) + - PDstandardNth22gt33*SQR(J22L) + PDstandardNth33gt33*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt33 + - 2*J13L*J33L*PDstandardNth13gt33 + dJ133L*PDstandardNth1gt33 + - 2*J23L*J33L*PDstandardNth23gt33 + dJ233L*PDstandardNth2gt33 + - dJ333L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J13L) + - PDstandardNth22gt33*SQR(J23L) + PDstandardNth33gt33*SQR(J33L))); - - CCTK_REAL fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL cdphi1 = fac1*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - - CCTK_REAL cdphi2 = fac1*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - - CCTK_REAL cdphi3 = fac1*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - - CCTK_REAL fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - - CCTK_REAL cdphi211 = fac1*((dJ111L - Gt111*J11L - Gt211*J12L - - Gt311*J13L)*PDstandardNth1phi + 2*(J11L*(J21L*PDstandardNth12phi + - J31L*PDstandardNth13phi) + J21L*J31L*PDstandardNth23phi) + (dJ211L - - Gt111*J21L - Gt211*J22L - Gt311*J23L)*PDstandardNth2phi + (dJ311L - - Gt111*J31L - Gt211*J32L - Gt311*J33L)*PDstandardNth3phi + - PDstandardNth11phi*SQR(J11L) + PDstandardNth22phi*SQR(J21L) + - PDstandardNth33phi*SQR(J31L)) + fac2*SQR(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - - CCTK_REAL cdphi212 = fac2*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + - J31L*PDstandardNth3phi)*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi) + - fac1*(J12L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + - J31L*PDstandardNth13phi) + J11L*(J22L*PDstandardNth12phi + - J32L*PDstandardNth13phi) + (dJ112L - Gt112*J11L - Gt212*J12L - - Gt312*J13L)*PDstandardNth1phi + J22L*(J21L*PDstandardNth22phi + - J31L*PDstandardNth23phi) + (dJ212L - Gt112*J21L - Gt212*J22L - - Gt312*J23L)*PDstandardNth2phi + J32L*(J21L*PDstandardNth23phi + - J31L*PDstandardNth33phi) + (dJ312L - Gt112*J31L - Gt212*J32L - - Gt312*J33L)*PDstandardNth3phi); - - CCTK_REAL cdphi213 = fac2*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + - J31L*PDstandardNth3phi)*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + - fac1*(J13L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + - J31L*PDstandardNth13phi) + J11L*(J23L*PDstandardNth12phi + - J33L*PDstandardNth13phi) + (dJ113L - Gt113*J11L - Gt213*J12L - - Gt313*J13L)*PDstandardNth1phi + J23L*(J21L*PDstandardNth22phi + - J31L*PDstandardNth23phi) + (dJ213L - Gt113*J21L - Gt213*J22L - - Gt313*J23L)*PDstandardNth2phi + J33L*(J21L*PDstandardNth23phi + - J31L*PDstandardNth33phi) + (dJ313L - Gt113*J31L - Gt213*J32L - - Gt313*J33L)*PDstandardNth3phi); - - CCTK_REAL cdphi222 = fac1*((dJ122L - Gt122*J11L - Gt222*J12L - - Gt322*J13L)*PDstandardNth1phi + 2*(J12L*(J22L*PDstandardNth12phi + - J32L*PDstandardNth13phi) + J22L*J32L*PDstandardNth23phi) + (dJ222L - - Gt122*J21L - Gt222*J22L - Gt322*J23L)*PDstandardNth2phi + (dJ322L - - Gt122*J31L - Gt222*J32L - Gt322*J33L)*PDstandardNth3phi + - PDstandardNth11phi*SQR(J12L) + PDstandardNth22phi*SQR(J22L) + - PDstandardNth33phi*SQR(J32L)) + fac2*SQR(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - - CCTK_REAL cdphi223 = fac2*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + - J32L*PDstandardNth3phi)*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + - fac1*(J13L*(J12L*PDstandardNth11phi + J22L*PDstandardNth12phi + - J32L*PDstandardNth13phi) + J12L*(J23L*PDstandardNth12phi + - J33L*PDstandardNth13phi) + (dJ123L - Gt123*J11L - Gt223*J12L - - Gt323*J13L)*PDstandardNth1phi + J23L*(J22L*PDstandardNth22phi + - J32L*PDstandardNth23phi) + (dJ223L - Gt123*J21L - Gt223*J22L - - Gt323*J23L)*PDstandardNth2phi + J33L*(J22L*PDstandardNth23phi + - J32L*PDstandardNth33phi) + (dJ323L - Gt123*J31L - Gt223*J32L - - Gt323*J33L)*PDstandardNth3phi); - - CCTK_REAL cdphi233 = fac1*((dJ133L - Gt133*J11L - Gt233*J12L - - Gt333*J13L)*PDstandardNth1phi + 2*(J13L*(J23L*PDstandardNth12phi + - J33L*PDstandardNth13phi) + J23L*J33L*PDstandardNth23phi) + (dJ233L - - Gt133*J21L - Gt233*J22L - Gt333*J23L)*PDstandardNth2phi + (dJ333L - - Gt133*J31L - Gt233*J32L - Gt333*J33L)*PDstandardNth3phi + - PDstandardNth11phi*SQR(J13L) + PDstandardNth22phi*SQR(J23L) + - PDstandardNth33phi*SQR(J33L)) + fac2*SQR(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - - CCTK_REAL Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + - gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu12 + cdphi3*gtu13) + - cdphi2*cdphi3*gtu23) + cdphi233*gtu33 + gtu22*(cdphi222 + - 2*SQR(cdphi2)) + 2*(cdphi212*gtu12 + cdphi213*gtu13 + cdphi223*gtu23 + - gtu33*SQR(cdphi3)))); - - CCTK_REAL Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu12) - + 4*cdphi3*gt12L*gtu13) + gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu23 - + 2*(cdphi212*gtu12 + cdphi213*gtu13 + cdphi223*gtu23 + - gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 - + 2*SQR(cdphi3)))); - - CCTK_REAL Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu12 + - cdphi3*(-2 + 4*gt13L*gtu13)) + gt13L*(cdphi211*gtu11 + - 4*cdphi2*cdphi3*gtu23 + 2*(cdphi212*gtu12 + cdphi213*gtu13 + - cdphi223*gtu23 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) - + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - CCTK_REAL Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + - gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu13 + cdphi2*(cdphi1*gtu12 + - cdphi3*gtu23)) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - 2*(cdphi212*gtu12 + cdphi213*gtu13 + cdphi223*gtu23 + - gtu33*SQR(cdphi3)))); - - CCTK_REAL Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu12 + - cdphi3*(-2 + 4*gt23L*gtu23)) + gt23L*(4*cdphi1*cdphi3*gtu13 + - cdphi222*gtu22 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu12 + - cdphi213*gtu13 + cdphi223*gtu23 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 - + 2*SQR(cdphi3)))); - - CCTK_REAL Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + - 2*cdphi212)*gtu12 + 4*cdphi3*(cdphi1*gtu13 + cdphi2*gtu23) + - 2*(cdphi213*gtu13 + cdphi223*gtu23) + cdphi233*gtu33 + gtu11*(cdphi211 - + 2*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + - gt33L*gtu33)*SQR(cdphi3)); - - CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu12 + At13L*gtu13; - - CCTK_REAL Atm21 = At11L*gtu12 + At12L*gtu22 + At13L*gtu23; - - CCTK_REAL Atm31 = At11L*gtu13 + At12L*gtu23 + At13L*gtu33; - - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu12 + At23L*gtu13; - - CCTK_REAL Atm22 = At12L*gtu12 + At22L*gtu22 + At23L*gtu23; - - CCTK_REAL Atm32 = At12L*gtu13 + At22L*gtu23 + At23L*gtu33; - - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu12 + At33L*gtu13; - - CCTK_REAL Atm23 = At13L*gtu12 + At23L*gtu22 + At33L*gtu23; - - CCTK_REAL Atm33 = At13L*gtu13 + At23L*gtu23 + At33L*gtu33; - - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL em4phi = INV(e4phi); - - CCTK_REAL g11 = e4phi*gt11L; - - CCTK_REAL g12 = e4phi*gt12L; - - CCTK_REAL g13 = e4phi*gt13L; - - CCTK_REAL g22 = e4phi*gt22L; - - CCTK_REAL g23 = e4phi*gt23L; - - CCTK_REAL g33 = e4phi*gt33L; - - CCTK_REAL gu11 = em4phi*gtu11; - - CCTK_REAL gu12 = em4phi*gtu12; - - CCTK_REAL gu13 = em4phi*gtu13; - - CCTK_REAL gu22 = em4phi*gtu22; - - CCTK_REAL gu23 = em4phi*gtu23; - - CCTK_REAL gu33 = em4phi*gtu33; - - CCTK_REAL R11 = Rphi11 + Rt11; - - CCTK_REAL R12 = Rphi12 + Rt12; - - CCTK_REAL R13 = Rphi13 + Rt13; - - CCTK_REAL R22 = Rphi22 + Rt22; - - CCTK_REAL R23 = Rphi23 + Rt23; - - CCTK_REAL R33 = Rphi33 + Rt33; - - CCTK_REAL trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu12 + - eTxzL*gtu13 + eTyzL*gtu23) + eTzzL*gtu33); - - CCTK_REAL Ats11 = (-dJ111L + 4*cdphi1*J11L + Gt111*J11L + Gt211*J12L + - Gt311*J13L)*PDstandardNth1alpha - 2*(J11L*J21L*PDstandardNth12alpha + - J11L*J31L*PDstandardNth13alpha + J21L*J31L*PDstandardNth23alpha) + - (-dJ211L + 4*cdphi1*J21L + Gt111*J21L + Gt211*J22L + - Gt311*J23L)*PDstandardNth2alpha + (-dJ311L + 4*cdphi1*J31L + Gt111*J31L - + Gt211*J32L + Gt311*J33L)*PDstandardNth3alpha + alphaL*R11 - - PDstandardNth11alpha*SQR(J11L) - PDstandardNth22alpha*SQR(J21L) - - PDstandardNth33alpha*SQR(J31L); - - CCTK_REAL Ats12 = -(J11L*J12L*PDstandardNth11alpha) - - J12L*J21L*PDstandardNth12alpha - J11L*J22L*PDstandardNth12alpha - - J12L*J31L*PDstandardNth13alpha - J11L*J32L*PDstandardNth13alpha + - (-dJ112L + 2*cdphi2*J11L + Gt112*J11L + 2*cdphi1*J12L + Gt212*J12L + - Gt312*J13L)*PDstandardNth1alpha - J21L*J22L*PDstandardNth22alpha - - J22L*J31L*PDstandardNth23alpha - J21L*J32L*PDstandardNth23alpha + - (-dJ212L + 2*cdphi2*J21L + Gt112*J21L + 2*cdphi1*J22L + Gt212*J22L + - Gt312*J23L)*PDstandardNth2alpha - J31L*J32L*PDstandardNth33alpha - - dJ312L*PDstandardNth3alpha + 2*cdphi2*J31L*PDstandardNth3alpha + - Gt112*J31L*PDstandardNth3alpha + 2*cdphi1*J32L*PDstandardNth3alpha + - Gt212*J32L*PDstandardNth3alpha + Gt312*J33L*PDstandardNth3alpha + - alphaL*R12; - - CCTK_REAL Ats13 = -(J11L*J13L*PDstandardNth11alpha) - - J13L*J21L*PDstandardNth12alpha - J11L*J23L*PDstandardNth12alpha - - J13L*J31L*PDstandardNth13alpha - J11L*J33L*PDstandardNth13alpha + - (-dJ113L + 2*cdphi3*J11L + Gt113*J11L + Gt213*J12L + 2*cdphi1*J13L + - Gt313*J13L)*PDstandardNth1alpha - J21L*J23L*PDstandardNth22alpha - - J23L*J31L*PDstandardNth23alpha - J21L*J33L*PDstandardNth23alpha + - (-dJ213L + 2*cdphi3*J21L + Gt113*J21L + Gt213*J22L + 2*cdphi1*J23L + - Gt313*J23L)*PDstandardNth2alpha - J31L*J33L*PDstandardNth33alpha - - dJ313L*PDstandardNth3alpha + 2*cdphi3*J31L*PDstandardNth3alpha + - Gt113*J31L*PDstandardNth3alpha + Gt213*J32L*PDstandardNth3alpha + - 2*cdphi1*J33L*PDstandardNth3alpha + Gt313*J33L*PDstandardNth3alpha + - alphaL*R13; - - CCTK_REAL Ats22 = (-dJ122L + Gt122*J11L + 4*cdphi2*J12L + Gt222*J12L + - Gt322*J13L)*PDstandardNth1alpha - 2*(J12L*J22L*PDstandardNth12alpha + - J12L*J32L*PDstandardNth13alpha + J22L*J32L*PDstandardNth23alpha) + - (-dJ222L + Gt122*J21L + 4*cdphi2*J22L + Gt222*J22L + - Gt322*J23L)*PDstandardNth2alpha + (-dJ322L + Gt122*J31L + 4*cdphi2*J32L - + Gt222*J32L + Gt322*J33L)*PDstandardNth3alpha + alphaL*R22 - - PDstandardNth11alpha*SQR(J12L) - PDstandardNth22alpha*SQR(J22L) - - PDstandardNth33alpha*SQR(J32L); - - CCTK_REAL Ats23 = -(J12L*J13L*PDstandardNth11alpha) - - J13L*J22L*PDstandardNth12alpha - J12L*J23L*PDstandardNth12alpha - - J13L*J32L*PDstandardNth13alpha - J12L*J33L*PDstandardNth13alpha + - (-dJ123L + Gt123*J11L + 2*cdphi3*J12L + Gt223*J12L + 2*cdphi2*J13L + - Gt323*J13L)*PDstandardNth1alpha - J22L*J23L*PDstandardNth22alpha - - J23L*J32L*PDstandardNth23alpha - J22L*J33L*PDstandardNth23alpha + - (-dJ223L + Gt123*J21L + 2*cdphi3*J22L + Gt223*J22L + 2*cdphi2*J23L + - Gt323*J23L)*PDstandardNth2alpha - J32L*J33L*PDstandardNth33alpha - - dJ323L*PDstandardNth3alpha + Gt123*J31L*PDstandardNth3alpha + - 2*cdphi3*J32L*PDstandardNth3alpha + Gt223*J32L*PDstandardNth3alpha + - 2*cdphi2*J33L*PDstandardNth3alpha + Gt323*J33L*PDstandardNth3alpha + - alphaL*R23; - - CCTK_REAL Ats33 = (-dJ133L + Gt133*J11L + Gt233*J12L + 4*cdphi3*J13L + - Gt333*J13L)*PDstandardNth1alpha - 2*(J13L*J23L*PDstandardNth12alpha + - J13L*J33L*PDstandardNth13alpha + J23L*J33L*PDstandardNth23alpha) + - (-dJ233L + Gt133*J21L + Gt233*J22L + 4*cdphi3*J23L + - Gt333*J23L)*PDstandardNth2alpha + (-dJ333L + Gt133*J31L + Gt233*J32L + - 4*cdphi3*J33L + Gt333*J33L)*PDstandardNth3alpha + alphaL*R33 - - PDstandardNth11alpha*SQR(J13L) - PDstandardNth22alpha*SQR(J23L) - - PDstandardNth33alpha*SQR(J33L); - - CCTK_REAL trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu12 + Ats13*gu13 - + Ats23*gu23) + Ats33*gu33; - - CCTK_REAL At11rhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1At11 + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2At11 + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3At11 - - At11L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J11L*(At11L*PDstandardNth1beta1 + - At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + - J21L*(At11L*PDstandardNth2beta1 + At12L*PDstandardNth2beta2 + - At13L*PDstandardNth2beta3) + J31L*(At11L*PDstandardNth3beta1 + - At12L*PDstandardNth3beta2 + At13L*PDstandardNth3beta3)) + (beta1L*J11L - + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1At11 + (beta1L*J21L + - beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2At11 + (beta1L*J31L + - beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3At11 + - alphaL*(-2*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + At11L*trKL) + - em4phi*(Ats11 - g11*kthird*trAts - - 25.13274122871834590770114706623602307358*alphaL*(eTxxL - - g11*kthird*trS)) + (J11L*PDupwindNthSymm1At11 + - J21L*PDupwindNthSymm2At11 + J31L*PDupwindNthSymm3At11)*Abs(beta1L) + - (J12L*PDupwindNthSymm1At11 + J22L*PDupwindNthSymm2At11 + - J32L*PDupwindNthSymm3At11)*Abs(beta2L) + (J13L*PDupwindNthSymm1At11 + - J23L*PDupwindNthSymm2At11 + J33L*PDupwindNthSymm3At11)*Abs(beta3L); - - CCTK_REAL At12rhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1At12 + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2At12 + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3At12 + (At12L*J11L + - At11L*J12L)*PDstandardNth1beta1 + (At22L*J11L + - At12L*J12L)*PDstandardNth1beta2 + (At23L*J11L + - At13L*J12L)*PDstandardNth1beta3 + (At12L*J21L + - At11L*J22L)*PDstandardNth2beta1 + (At22L*J21L + - At12L*J22L)*PDstandardNth2beta2 + (At23L*J21L + - At13L*J22L)*PDstandardNth2beta3 + (At12L*J31L + - At11L*J32L)*PDstandardNth3beta1 + (At22L*J31L + - At12L*J32L)*PDstandardNth3beta2 + (At23L*J31L + - At13L*J32L)*PDstandardNth3beta3 - - At12L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + (beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1At12 + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2At12 + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3At12 + alphaL*(-2*(At11L*Atm12 + - At12L*Atm22 + At13L*Atm32) + At12L*trKL) + em4phi*(Ats12 - - g12*kthird*trAts - - 25.13274122871834590770114706623602307358*alphaL*(eTxyL - - g12*kthird*trS)) + (J11L*PDupwindNthSymm1At12 + - J21L*PDupwindNthSymm2At12 + J31L*PDupwindNthSymm3At12)*Abs(beta1L) + - (J12L*PDupwindNthSymm1At12 + J22L*PDupwindNthSymm2At12 + - J32L*PDupwindNthSymm3At12)*Abs(beta2L) + (J13L*PDupwindNthSymm1At12 + - J23L*PDupwindNthSymm2At12 + J33L*PDupwindNthSymm3At12)*Abs(beta3L); - - CCTK_REAL At13rhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1At13 + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2At13 + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3At13 + (At13L*J11L + - At11L*J13L)*PDstandardNth1beta1 + (At23L*J11L + - At12L*J13L)*PDstandardNth1beta2 + (At33L*J11L + - At13L*J13L)*PDstandardNth1beta3 + (At13L*J21L + - At11L*J23L)*PDstandardNth2beta1 + (At23L*J21L + - At12L*J23L)*PDstandardNth2beta2 + (At33L*J21L + - At13L*J23L)*PDstandardNth2beta3 + (At13L*J31L + - At11L*J33L)*PDstandardNth3beta1 + (At23L*J31L + - At12L*J33L)*PDstandardNth3beta2 + (At33L*J31L + - At13L*J33L)*PDstandardNth3beta3 - - At13L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + (beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1At13 + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2At13 + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3At13 + alphaL*(-2*(At11L*Atm13 + - At12L*Atm23 + At13L*Atm33) + At13L*trKL) + em4phi*(Ats13 - - g13*kthird*trAts - - 25.13274122871834590770114706623602307358*alphaL*(eTxzL - - g13*kthird*trS)) + (J11L*PDupwindNthSymm1At13 + - J21L*PDupwindNthSymm2At13 + J31L*PDupwindNthSymm3At13)*Abs(beta1L) + - (J12L*PDupwindNthSymm1At13 + J22L*PDupwindNthSymm2At13 + - J32L*PDupwindNthSymm3At13)*Abs(beta2L) + (J13L*PDupwindNthSymm1At13 + - J23L*PDupwindNthSymm2At13 + J33L*PDupwindNthSymm3At13)*Abs(beta3L); - - CCTK_REAL At22rhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1At22 + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2At22 + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3At22 - - At22L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J12L*(At12L*PDstandardNth1beta1 + - At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3) + - J22L*(At12L*PDstandardNth2beta1 + At22L*PDstandardNth2beta2 + - At23L*PDstandardNth2beta3) + J32L*(At12L*PDstandardNth3beta1 + - At22L*PDstandardNth3beta2 + At23L*PDstandardNth3beta3)) + (beta1L*J11L - + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1At22 + (beta1L*J21L + - beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2At22 + (beta1L*J31L + - beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3At22 + - alphaL*(-2*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + At22L*trKL) + - em4phi*(Ats22 - g22*kthird*trAts - - 25.13274122871834590770114706623602307358*alphaL*(eTyyL - - g22*kthird*trS)) + (J11L*PDupwindNthSymm1At22 + - J21L*PDupwindNthSymm2At22 + J31L*PDupwindNthSymm3At22)*Abs(beta1L) + - (J12L*PDupwindNthSymm1At22 + J22L*PDupwindNthSymm2At22 + - J32L*PDupwindNthSymm3At22)*Abs(beta2L) + (J13L*PDupwindNthSymm1At22 + - J23L*PDupwindNthSymm2At22 + J33L*PDupwindNthSymm3At22)*Abs(beta3L); - - CCTK_REAL At23rhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1At23 + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2At23 + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3At23 + (At13L*J12L + - At12L*J13L)*PDstandardNth1beta1 + (At23L*J12L + - At22L*J13L)*PDstandardNth1beta2 + (At33L*J12L + - At23L*J13L)*PDstandardNth1beta3 + (At13L*J22L + - At12L*J23L)*PDstandardNth2beta1 + (At23L*J22L + - At22L*J23L)*PDstandardNth2beta2 + (At33L*J22L + - At23L*J23L)*PDstandardNth2beta3 + (At13L*J32L + - At12L*J33L)*PDstandardNth3beta1 + (At23L*J32L + - At22L*J33L)*PDstandardNth3beta2 + (At33L*J32L + - At23L*J33L)*PDstandardNth3beta3 - - At23L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + (beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1At23 + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2At23 + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3At23 + alphaL*(-2*(At12L*Atm13 + - At22L*Atm23 + At23L*Atm33) + At23L*trKL) + em4phi*(Ats23 - - g23*kthird*trAts - - 25.13274122871834590770114706623602307358*alphaL*(eTyzL - - g23*kthird*trS)) + (J11L*PDupwindNthSymm1At23 + - J21L*PDupwindNthSymm2At23 + J31L*PDupwindNthSymm3At23)*Abs(beta1L) + - (J12L*PDupwindNthSymm1At23 + J22L*PDupwindNthSymm2At23 + - J32L*PDupwindNthSymm3At23)*Abs(beta2L) + (J13L*PDupwindNthSymm1At23 + - J23L*PDupwindNthSymm2At23 + J33L*PDupwindNthSymm3At23)*Abs(beta3L); - - CCTK_REAL At33rhsL = (epsdiss1*J11L + epsdiss2*J12L + - epsdiss3*J13L)*PDdissipationNth1At33 + (epsdiss1*J21L + epsdiss2*J22L + - epsdiss3*J23L)*PDdissipationNth2At33 + (epsdiss1*J31L + epsdiss2*J32L + - epsdiss3*J33L)*PDdissipationNth3At33 - - At33L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J13L*(At13L*PDstandardNth1beta1 + - At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3) + - J23L*(At13L*PDstandardNth2beta1 + At23L*PDstandardNth2beta2 + - At33L*PDstandardNth2beta3) + J33L*(At13L*PDstandardNth3beta1 + - At23L*PDstandardNth3beta2 + At33L*PDstandardNth3beta3)) + (beta1L*J11L - + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1At33 + (beta1L*J21L + - beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2At33 + (beta1L*J31L + - beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3At33 + - alphaL*(-2*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + At33L*trKL) + - em4phi*(Ats33 - g33*kthird*trAts - - 25.13274122871834590770114706623602307358*alphaL*(eTzzL - - g33*kthird*trS)) + (J11L*PDupwindNthSymm1At33 + - J21L*PDupwindNthSymm2At33 + J31L*PDupwindNthSymm3At33)*Abs(beta1L) + - (J12L*PDupwindNthSymm1At33 + J22L*PDupwindNthSymm2At33 + - J32L*PDupwindNthSymm3At33)*Abs(beta2L) + (J13L*PDupwindNthSymm1At33 + - J23L*PDupwindNthSymm2At33 + J33L*PDupwindNthSymm3At33)*Abs(beta3L); - - - /* Copy local copies back to grid functions */ - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_RHS2); -} - -void ML_BSSN_MP_O8_RHS2(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_O8_RHS2_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHSStaticBoundary.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHSStaticBoundary.c deleted file mode 100644 index 377f0ef..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_RHSStaticBoundary.c +++ /dev/null @@ -1,228 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_RHSStaticBoundary_SelectBCs(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_curvrhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_curvrhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_dtlapserhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_dtlapserhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_dtshiftrhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_dtshiftrhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_Gammarhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_Gammarhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_lapserhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_lapserhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_log_confacrhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_log_confacrhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_metricrhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_metricrhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_shiftrhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_shiftrhs."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_trace_curvrhs","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_trace_curvrhs."); - return; -} - -void ML_BSSN_MP_O8_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_RHSStaticBoundary_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_RHSStaticBoundary_calc_every != ML_BSSN_MP_O8_RHSStaticBoundary_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_RHSStaticBoundary, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL phirhsL = 0; - - CCTK_REAL gt11rhsL = 0; - - CCTK_REAL gt12rhsL = 0; - - CCTK_REAL gt13rhsL = 0; - - CCTK_REAL gt22rhsL = 0; - - CCTK_REAL gt23rhsL = 0; - - CCTK_REAL gt33rhsL = 0; - - CCTK_REAL trKrhsL = 0; - - CCTK_REAL At11rhsL = 0; - - CCTK_REAL At12rhsL = 0; - - CCTK_REAL At13rhsL = 0; - - CCTK_REAL At22rhsL = 0; - - CCTK_REAL At23rhsL = 0; - - CCTK_REAL At33rhsL = 0; - - CCTK_REAL Xt1rhsL = 0; - - CCTK_REAL Xt2rhsL = 0; - - CCTK_REAL Xt3rhsL = 0; - - CCTK_REAL alpharhsL = 0; - - CCTK_REAL ArhsL = 0; - - CCTK_REAL beta1rhsL = 0; - - CCTK_REAL beta2rhsL = 0; - - CCTK_REAL beta3rhsL = 0; - - CCTK_REAL B1rhsL = 0; - - CCTK_REAL B2rhsL = 0; - - CCTK_REAL B3rhsL = 0; - - - /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_RHSStaticBoundary); -} - -void ML_BSSN_MP_O8_RHSStaticBoundary(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_MP_O8_RHSStaticBoundary_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_boundary.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_boundary.c deleted file mode 100644 index 42332b8..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_boundary.c +++ /dev/null @@ -1,228 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_boundary_SelectBCs(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_curv","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_curv."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_dtlapse","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_dtlapse."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_dtshift","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_dtshift."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_Gamma","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_Gamma."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_lapse","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_lapse."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_log_confac","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_log_confac."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_metric","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_metric."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_shift","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_shift."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_trace_curv","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_trace_curv."); - return; -} - -void ML_BSSN_MP_O8_boundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_boundary_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_boundary_calc_every != ML_BSSN_MP_O8_boundary_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_boundary, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL phiL = IfThen(conformalMethod,1,0); - - CCTK_REAL gt11L = 1; - - CCTK_REAL gt12L = 0; - - CCTK_REAL gt13L = 0; - - CCTK_REAL gt22L = 1; - - CCTK_REAL gt23L = 0; - - CCTK_REAL gt33L = 1; - - CCTK_REAL trKL = 0; - - CCTK_REAL At11L = 0; - - CCTK_REAL At12L = 0; - - CCTK_REAL At13L = 0; - - CCTK_REAL At22L = 0; - - CCTK_REAL At23L = 0; - - CCTK_REAL At33L = 0; - - CCTK_REAL Xt1L = 0; - - CCTK_REAL Xt2L = 0; - - CCTK_REAL Xt3L = 0; - - CCTK_REAL alphaL = 1; - - CCTK_REAL AL = 0; - - CCTK_REAL beta1L = 0; - - CCTK_REAL beta2L = 0; - - CCTK_REAL beta3L = 0; - - CCTK_REAL B1L = 0; - - CCTK_REAL B2L = 0; - - CCTK_REAL B3L = 0; - - - /* Copy local copies back to grid functions */ - A[index] = AL; - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_boundary); -} - -void ML_BSSN_MP_O8_boundary(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_BSSN_MP_O8_boundary_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_constraints1.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_constraints1.c deleted file mode 100644 index 6fb0b75..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_constraints1.c +++ /dev/null @@ -1,972 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_constraints1_SelectBCs(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_Ham","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_Ham."); - return; -} - -void ML_BSSN_MP_O8_constraints1_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_constraints1_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_constraints1_calc_every != ML_BSSN_MP_O8_constraints1_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_constraints1, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth11phi = INITVALUE; - // CCTK_REAL PDstandardNth22phi = INITVALUE; - // CCTK_REAL PDstandardNth33phi = INITVALUE; - // CCTK_REAL PDstandardNth12phi = INITVALUE; - // CCTK_REAL PDstandardNth13phi = INITVALUE; - // CCTK_REAL PDstandardNth23phi = INITVALUE; - // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; - - /* Assign local copies of grid functions */ - CCTK_REAL alphaL = alpha[index]; - CCTK_REAL At11L = At11[index]; - CCTK_REAL At12L = At12[index]; - CCTK_REAL At13L = At13[index]; - CCTK_REAL At22L = At22[index]; - CCTK_REAL At23L = At23[index]; - CCTK_REAL At33L = At33[index]; - CCTK_REAL beta1L = beta1[index]; - CCTK_REAL beta2L = beta2[index]; - CCTK_REAL beta3L = beta3[index]; - CCTK_REAL dJ111L = dJ111[index]; - CCTK_REAL dJ112L = dJ112[index]; - CCTK_REAL dJ113L = dJ113[index]; - CCTK_REAL dJ122L = dJ122[index]; - CCTK_REAL dJ123L = dJ123[index]; - CCTK_REAL dJ133L = dJ133[index]; - CCTK_REAL dJ211L = dJ211[index]; - CCTK_REAL dJ212L = dJ212[index]; - CCTK_REAL dJ213L = dJ213[index]; - CCTK_REAL dJ222L = dJ222[index]; - CCTK_REAL dJ223L = dJ223[index]; - CCTK_REAL dJ233L = dJ233[index]; - CCTK_REAL dJ311L = dJ311[index]; - CCTK_REAL dJ312L = dJ312[index]; - CCTK_REAL dJ313L = dJ313[index]; - CCTK_REAL dJ322L = dJ322[index]; - CCTK_REAL dJ323L = dJ323[index]; - CCTK_REAL dJ333L = dJ333[index]; - CCTK_REAL eTttL = (*stress_energy_state) ? (eTtt[index]) : 0.0; - CCTK_REAL eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; - CCTK_REAL eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; - CCTK_REAL eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; - CCTK_REAL eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; - CCTK_REAL eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; - CCTK_REAL eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; - CCTK_REAL eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; - CCTK_REAL eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; - CCTK_REAL eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; - CCTK_REAL gt11L = gt11[index]; - CCTK_REAL gt12L = gt12[index]; - CCTK_REAL gt13L = gt13[index]; - CCTK_REAL gt22L = gt22[index]; - CCTK_REAL gt23L = gt23[index]; - CCTK_REAL gt33L = gt33[index]; - CCTK_REAL J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[index]; - CCTK_REAL phiL = phi[index]; - CCTK_REAL trKL = trK[index]; - CCTK_REAL Xt1L = Xt1[index]; - CCTK_REAL Xt2L = Xt2[index]; - CCTK_REAL Xt3L = Xt3[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - - /* Calculate temporaries and grid functions */ - CCTK_REAL detgt = 1; - - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL gtu12 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL gtu13 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL gtu23 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - CCTK_REAL Gtl111 = khalf*(J11L*PDstandardNth1gt11 + - J21L*PDstandardNth2gt11 + J31L*PDstandardNth3gt11); - - CCTK_REAL Gtl112 = khalf*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11); - - CCTK_REAL Gtl113 = khalf*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11); - - CCTK_REAL Gtl122 = J12L*PDstandardNth1gt12 - - J11L*khalf*PDstandardNth1gt22 + J22L*PDstandardNth2gt12 - - J21L*khalf*PDstandardNth2gt22 + J32L*PDstandardNth3gt12 - - J31L*khalf*PDstandardNth3gt22; - - CCTK_REAL Gtl123 = khalf*(J13L*PDstandardNth1gt12 + - J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl133 = J13L*PDstandardNth1gt13 - - J11L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt13 - - J21L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt13 - - J31L*khalf*PDstandardNth3gt33; - - CCTK_REAL Gtl211 = -(J12L*khalf*PDstandardNth1gt11) + - J11L*PDstandardNth1gt12 - J22L*khalf*PDstandardNth2gt11 + - J21L*PDstandardNth2gt12 - J32L*khalf*PDstandardNth3gt11 + - J31L*PDstandardNth3gt12; - - CCTK_REAL Gtl212 = khalf*(J11L*PDstandardNth1gt22 + - J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22); - - CCTK_REAL Gtl213 = khalf*(J13L*PDstandardNth1gt12 - - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl222 = khalf*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22); - - CCTK_REAL Gtl223 = khalf*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22); - - CCTK_REAL Gtl233 = J13L*PDstandardNth1gt23 - - J12L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt23 - - J22L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt23 - - J32L*khalf*PDstandardNth3gt33; - - CCTK_REAL Gtl311 = -(J13L*khalf*PDstandardNth1gt11) + - J11L*PDstandardNth1gt13 - J23L*khalf*PDstandardNth2gt11 + - J21L*PDstandardNth2gt13 - J33L*khalf*PDstandardNth3gt11 + - J31L*PDstandardNth3gt13; - - CCTK_REAL Gtl312 = khalf*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl313 = khalf*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33); - - CCTK_REAL Gtl322 = -(J13L*khalf*PDstandardNth1gt22) + - J12L*PDstandardNth1gt23 - J23L*khalf*PDstandardNth2gt22 + - J22L*PDstandardNth2gt23 - J33L*khalf*PDstandardNth3gt22 + - J32L*PDstandardNth3gt23; - - CCTK_REAL Gtl323 = khalf*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33); - - CCTK_REAL Gtl333 = khalf*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33); - - CCTK_REAL Gtlu111 = Gtl111*gtu11 + Gtl112*gtu12 + Gtl113*gtu13; - - CCTK_REAL Gtlu112 = Gtl111*gtu12 + Gtl112*gtu22 + Gtl113*gtu23; - - CCTK_REAL Gtlu113 = Gtl111*gtu13 + Gtl112*gtu23 + Gtl113*gtu33; - - CCTK_REAL Gtlu121 = Gtl112*gtu11 + Gtl122*gtu12 + Gtl123*gtu13; - - CCTK_REAL Gtlu122 = Gtl112*gtu12 + Gtl122*gtu22 + Gtl123*gtu23; - - CCTK_REAL Gtlu123 = Gtl112*gtu13 + Gtl122*gtu23 + Gtl123*gtu33; - - CCTK_REAL Gtlu131 = Gtl113*gtu11 + Gtl123*gtu12 + Gtl133*gtu13; - - CCTK_REAL Gtlu132 = Gtl113*gtu12 + Gtl123*gtu22 + Gtl133*gtu23; - - CCTK_REAL Gtlu133 = Gtl113*gtu13 + Gtl123*gtu23 + Gtl133*gtu33; - - CCTK_REAL Gtlu211 = Gtl211*gtu11 + Gtl212*gtu12 + Gtl213*gtu13; - - CCTK_REAL Gtlu212 = Gtl211*gtu12 + Gtl212*gtu22 + Gtl213*gtu23; - - CCTK_REAL Gtlu213 = Gtl211*gtu13 + Gtl212*gtu23 + Gtl213*gtu33; - - CCTK_REAL Gtlu221 = Gtl212*gtu11 + Gtl222*gtu12 + Gtl223*gtu13; - - CCTK_REAL Gtlu222 = Gtl212*gtu12 + Gtl222*gtu22 + Gtl223*gtu23; - - CCTK_REAL Gtlu223 = Gtl212*gtu13 + Gtl222*gtu23 + Gtl223*gtu33; - - CCTK_REAL Gtlu231 = Gtl213*gtu11 + Gtl223*gtu12 + Gtl233*gtu13; - - CCTK_REAL Gtlu232 = Gtl213*gtu12 + Gtl223*gtu22 + Gtl233*gtu23; - - CCTK_REAL Gtlu233 = Gtl213*gtu13 + Gtl223*gtu23 + Gtl233*gtu33; - - CCTK_REAL Gtlu311 = Gtl311*gtu11 + Gtl312*gtu12 + Gtl313*gtu13; - - CCTK_REAL Gtlu312 = Gtl311*gtu12 + Gtl312*gtu22 + Gtl313*gtu23; - - CCTK_REAL Gtlu313 = Gtl311*gtu13 + Gtl312*gtu23 + Gtl313*gtu33; - - CCTK_REAL Gtlu321 = Gtl312*gtu11 + Gtl322*gtu12 + Gtl323*gtu13; - - CCTK_REAL Gtlu322 = Gtl312*gtu12 + Gtl322*gtu22 + Gtl323*gtu23; - - CCTK_REAL Gtlu323 = Gtl312*gtu13 + Gtl322*gtu23 + Gtl323*gtu33; - - CCTK_REAL Gtlu331 = Gtl313*gtu11 + Gtl323*gtu12 + Gtl333*gtu13; - - CCTK_REAL Gtlu332 = Gtl313*gtu12 + Gtl323*gtu22 + Gtl333*gtu23; - - CCTK_REAL Gtlu333 = Gtl313*gtu13 + Gtl323*gtu23 + Gtl333*gtu33; - - CCTK_REAL Gt111 = Gtl111*gtu11 + Gtl211*gtu12 + Gtl311*gtu13; - - CCTK_REAL Gt211 = Gtl111*gtu12 + Gtl211*gtu22 + Gtl311*gtu23; - - CCTK_REAL Gt311 = Gtl111*gtu13 + Gtl211*gtu23 + Gtl311*gtu33; - - CCTK_REAL Gt112 = Gtl112*gtu11 + Gtl212*gtu12 + Gtl312*gtu13; - - CCTK_REAL Gt212 = Gtl112*gtu12 + Gtl212*gtu22 + Gtl312*gtu23; - - CCTK_REAL Gt312 = Gtl112*gtu13 + Gtl212*gtu23 + Gtl312*gtu33; - - CCTK_REAL Gt113 = Gtl113*gtu11 + Gtl213*gtu12 + Gtl313*gtu13; - - CCTK_REAL Gt213 = Gtl113*gtu12 + Gtl213*gtu22 + Gtl313*gtu23; - - CCTK_REAL Gt313 = Gtl113*gtu13 + Gtl213*gtu23 + Gtl313*gtu33; - - CCTK_REAL Gt122 = Gtl122*gtu11 + Gtl222*gtu12 + Gtl322*gtu13; - - CCTK_REAL Gt222 = Gtl122*gtu12 + Gtl222*gtu22 + Gtl322*gtu23; - - CCTK_REAL Gt322 = Gtl122*gtu13 + Gtl222*gtu23 + Gtl322*gtu33; - - CCTK_REAL Gt123 = Gtl123*gtu11 + Gtl223*gtu12 + Gtl323*gtu13; - - CCTK_REAL Gt223 = Gtl123*gtu12 + Gtl223*gtu22 + Gtl323*gtu23; - - CCTK_REAL Gt323 = Gtl123*gtu13 + Gtl223*gtu23 + Gtl323*gtu33; - - CCTK_REAL Gt133 = Gtl133*gtu11 + Gtl233*gtu12 + Gtl333*gtu13; - - CCTK_REAL Gt233 = Gtl133*gtu12 + Gtl233*gtu22 + Gtl333*gtu23; - - CCTK_REAL Gt333 = Gtl133*gtu13 + Gtl233*gtu23 + Gtl333*gtu33; - - CCTK_REAL Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu12 + - Gt113*gtu13 + Gt123*gtu23) + Gt133*gtu33; - - CCTK_REAL Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu12 + - Gt213*gtu13 + Gt223*gtu23) + Gt233*gtu33; - - CCTK_REAL Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu12 + - Gt313*gtu13 + Gt323*gtu23) + Gt333*gtu33; - - CCTK_REAL Rt11 = 3*(Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113) + - 2*(Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + - Gt312*Gtlu132 + Gt313*Gtlu133) + Gt211*Gtlu211 + Gt212*Gtlu212 + - Gt213*Gtlu213 + Gt311*Gtlu311 + Gt312*Gtlu312 + Gt313*Gtlu313 + - J11L*(gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + - gt13L*PDstandardNth1Xt3) + J21L*(gt11L*PDstandardNth2Xt1 + - gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3) + - J31L*(gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + - gt13L*PDstandardNth3Xt3) + Gtl111*Xtn1 + Gtl112*Xtn2 + Gtl113*Xtn3 + - khalf*(-2*(gtu12*(J11L*J12L*PDstandardNth11gt11 + - J12L*J21L*PDstandardNth12gt11 + J11L*J22L*PDstandardNth12gt11 + - J12L*J31L*PDstandardNth13gt11 + J11L*J32L*PDstandardNth13gt11 + - dJ112L*PDstandardNth1gt11 + J21L*J22L*PDstandardNth22gt11 + - J22L*J31L*PDstandardNth23gt11 + J21L*J32L*PDstandardNth23gt11 + - dJ212L*PDstandardNth2gt11 + J31L*J32L*PDstandardNth33gt11 + - dJ312L*PDstandardNth3gt11) + gtu13*(J11L*J13L*PDstandardNth11gt11 + - J13L*J21L*PDstandardNth12gt11 + J11L*J23L*PDstandardNth12gt11 + - J13L*J31L*PDstandardNth13gt11 + J11L*J33L*PDstandardNth13gt11 + - dJ113L*PDstandardNth1gt11 + J21L*J23L*PDstandardNth22gt11 + - J23L*J31L*PDstandardNth23gt11 + J21L*J33L*PDstandardNth23gt11 + - dJ213L*PDstandardNth2gt11 + J31L*J33L*PDstandardNth33gt11 + - dJ313L*PDstandardNth3gt11) + gtu23*(J12L*J13L*PDstandardNth11gt11 + - J13L*J22L*PDstandardNth12gt11 + J12L*J23L*PDstandardNth12gt11 + - J13L*J32L*PDstandardNth13gt11 + J12L*J33L*PDstandardNth13gt11 + - dJ123L*PDstandardNth1gt11 + J22L*J23L*PDstandardNth22gt11 + - J23L*J32L*PDstandardNth23gt11 + J22L*J33L*PDstandardNth23gt11 + - dJ223L*PDstandardNth2gt11 + J32L*J33L*PDstandardNth33gt11 + - dJ323L*PDstandardNth3gt11)) - gtu11*(2*J11L*J21L*PDstandardNth12gt11 + - 2*J11L*J31L*PDstandardNth13gt11 + dJ111L*PDstandardNth1gt11 + - 2*J21L*J31L*PDstandardNth23gt11 + dJ211L*PDstandardNth2gt11 + - dJ311L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J11L) + - PDstandardNth22gt11*SQR(J21L) + PDstandardNth33gt11*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt11 + - 2*J12L*J32L*PDstandardNth13gt11 + dJ122L*PDstandardNth1gt11 + - 2*J22L*J32L*PDstandardNth23gt11 + dJ222L*PDstandardNth2gt11 + - dJ322L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J12L) + - PDstandardNth22gt11*SQR(J22L) + PDstandardNth33gt11*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt11 + - 2*J13L*J33L*PDstandardNth13gt11 + dJ133L*PDstandardNth1gt11 + - 2*J23L*J33L*PDstandardNth23gt11 + dJ233L*PDstandardNth2gt11 + - dJ333L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J13L) + - PDstandardNth22gt11*SQR(J23L) + PDstandardNth33gt11*SQR(J33L))); - - CCTK_REAL Rt12 = Gt122*Gtlu112 + Gt123*Gtlu113 + (Gt111 + - Gt212)*Gtlu121 + Gt222*Gtlu122 + (Gt113 + Gt223)*Gtlu123 + - Gt322*Gtlu132 + Gt323*Gtlu133 + Gt111*Gtlu211 + Gt112*(Gtlu111 + - Gtlu122 + Gtlu212) + Gt113*Gtlu213 + 2*(Gt211*Gtlu221 + Gt212*Gtlu222 + - Gt213*Gtlu223) + Gt311*(Gtlu231 + Gtlu321) + Gt312*(Gtlu131 + Gtlu232 + - Gtlu322) + Gt313*(Gtlu233 + Gtlu323) + khalf*((gt12L*J11L + - gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + - gt12L*J12L)*PDstandardNth1Xt2 + (gt23L*J11L + - gt13L*J12L)*PDstandardNth1Xt3 + (gt12L*J21L + - gt11L*J22L)*PDstandardNth2Xt1 + (gt22L*J21L + - gt12L*J22L)*PDstandardNth2Xt2 + (gt23L*J21L + - gt13L*J22L)*PDstandardNth2Xt3 - 2*(gtu12*(J11L*J12L*PDstandardNth11gt12 - + J12L*J21L*PDstandardNth12gt12 + J11L*J22L*PDstandardNth12gt12 + - J12L*J31L*PDstandardNth13gt12 + J11L*J32L*PDstandardNth13gt12 + - dJ112L*PDstandardNth1gt12 + J21L*J22L*PDstandardNth22gt12 + - J22L*J31L*PDstandardNth23gt12 + J21L*J32L*PDstandardNth23gt12 + - dJ212L*PDstandardNth2gt12 + J31L*J32L*PDstandardNth33gt12 + - dJ312L*PDstandardNth3gt12) + gtu13*(J11L*J13L*PDstandardNth11gt12 + - J13L*J21L*PDstandardNth12gt12 + J11L*J23L*PDstandardNth12gt12 + - J13L*J31L*PDstandardNth13gt12 + J11L*J33L*PDstandardNth13gt12 + - dJ113L*PDstandardNth1gt12 + J21L*J23L*PDstandardNth22gt12 + - J23L*J31L*PDstandardNth23gt12 + J21L*J33L*PDstandardNth23gt12 + - dJ213L*PDstandardNth2gt12 + J31L*J33L*PDstandardNth33gt12 + - dJ313L*PDstandardNth3gt12) + gtu23*(J12L*J13L*PDstandardNth11gt12 + - J13L*J22L*PDstandardNth12gt12 + J12L*J23L*PDstandardNth12gt12 + - J13L*J32L*PDstandardNth13gt12 + J12L*J33L*PDstandardNth13gt12 + - dJ123L*PDstandardNth1gt12 + J22L*J23L*PDstandardNth22gt12 + - J23L*J32L*PDstandardNth23gt12 + J22L*J33L*PDstandardNth23gt12 + - dJ223L*PDstandardNth2gt12 + J32L*J33L*PDstandardNth33gt12 + - dJ323L*PDstandardNth3gt12)) + (gt12L*J31L + - gt11L*J32L)*PDstandardNth3Xt1 + (gt22L*J31L + - gt12L*J32L)*PDstandardNth3Xt2 + (gt23L*J31L + - gt13L*J32L)*PDstandardNth3Xt3 + (Gtl112 + Gtl211)*Xtn1 + (Gtl122 + - Gtl212)*Xtn2 + (Gtl123 + Gtl213)*Xtn3 - - gtu11*(2*J11L*J21L*PDstandardNth12gt12 + - 2*J11L*J31L*PDstandardNth13gt12 + dJ111L*PDstandardNth1gt12 + - 2*J21L*J31L*PDstandardNth23gt12 + dJ211L*PDstandardNth2gt12 + - dJ311L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J11L) + - PDstandardNth22gt12*SQR(J21L) + PDstandardNth33gt12*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt12 + - 2*J12L*J32L*PDstandardNth13gt12 + dJ122L*PDstandardNth1gt12 + - 2*J22L*J32L*PDstandardNth23gt12 + dJ222L*PDstandardNth2gt12 + - dJ322L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J12L) + - PDstandardNth22gt12*SQR(J22L) + PDstandardNth33gt12*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt12 + - 2*J13L*J33L*PDstandardNth13gt12 + dJ133L*PDstandardNth1gt12 + - 2*J23L*J33L*PDstandardNth23gt12 + dJ233L*PDstandardNth2gt12 + - dJ333L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J13L) + - PDstandardNth22gt12*SQR(J23L) + PDstandardNth33gt12*SQR(J33L))); - - CCTK_REAL Rt13 = Gt123*Gtlu112 + Gt133*Gtlu113 + Gt223*Gtlu122 + - Gt233*Gtlu123 + (Gt111 + Gt313)*Gtlu131 + (Gt112 + Gt323)*Gtlu132 + - Gt333*Gtlu133 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*(Gtlu111 + - Gtlu133 + Gtlu313) + Gt211*(Gtlu231 + Gtlu321) + Gt212*(Gtlu232 + - Gtlu322) + Gt213*(Gtlu121 + Gtlu233 + Gtlu323) + 2*(Gt311*Gtlu331 + - Gt312*Gtlu332 + Gt313*Gtlu333) + khalf*((gt13L*J11L + - gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + - gt12L*J13L)*PDstandardNth1Xt2 + (gt33L*J11L + - gt13L*J13L)*PDstandardNth1Xt3 + (gt13L*J21L + - gt11L*J23L)*PDstandardNth2Xt1 + (gt23L*J21L + - gt12L*J23L)*PDstandardNth2Xt2 + (gt33L*J21L + - gt13L*J23L)*PDstandardNth2Xt3 - 2*(gtu12*(J11L*J12L*PDstandardNth11gt13 - + J12L*J21L*PDstandardNth12gt13 + J11L*J22L*PDstandardNth12gt13 + - J12L*J31L*PDstandardNth13gt13 + J11L*J32L*PDstandardNth13gt13 + - dJ112L*PDstandardNth1gt13 + J21L*J22L*PDstandardNth22gt13 + - J22L*J31L*PDstandardNth23gt13 + J21L*J32L*PDstandardNth23gt13 + - dJ212L*PDstandardNth2gt13 + J31L*J32L*PDstandardNth33gt13 + - dJ312L*PDstandardNth3gt13) + gtu13*(J11L*J13L*PDstandardNth11gt13 + - J13L*J21L*PDstandardNth12gt13 + J11L*J23L*PDstandardNth12gt13 + - J13L*J31L*PDstandardNth13gt13 + J11L*J33L*PDstandardNth13gt13 + - dJ113L*PDstandardNth1gt13 + J21L*J23L*PDstandardNth22gt13 + - J23L*J31L*PDstandardNth23gt13 + J21L*J33L*PDstandardNth23gt13 + - dJ213L*PDstandardNth2gt13 + J31L*J33L*PDstandardNth33gt13 + - dJ313L*PDstandardNth3gt13) + gtu23*(J12L*J13L*PDstandardNth11gt13 + - J13L*J22L*PDstandardNth12gt13 + J12L*J23L*PDstandardNth12gt13 + - J13L*J32L*PDstandardNth13gt13 + J12L*J33L*PDstandardNth13gt13 + - dJ123L*PDstandardNth1gt13 + J22L*J23L*PDstandardNth22gt13 + - J23L*J32L*PDstandardNth23gt13 + J22L*J33L*PDstandardNth23gt13 + - dJ223L*PDstandardNth2gt13 + J32L*J33L*PDstandardNth33gt13 + - dJ323L*PDstandardNth3gt13)) + (gt13L*J31L + - gt11L*J33L)*PDstandardNth3Xt1 + (gt23L*J31L + - gt12L*J33L)*PDstandardNth3Xt2 + (gt33L*J31L + - gt13L*J33L)*PDstandardNth3Xt3 + (Gtl113 + Gtl311)*Xtn1 + (Gtl123 + - Gtl312)*Xtn2 + (Gtl133 + Gtl313)*Xtn3 - - gtu11*(2*J11L*J21L*PDstandardNth12gt13 + - 2*J11L*J31L*PDstandardNth13gt13 + dJ111L*PDstandardNth1gt13 + - 2*J21L*J31L*PDstandardNth23gt13 + dJ211L*PDstandardNth2gt13 + - dJ311L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J11L) + - PDstandardNth22gt13*SQR(J21L) + PDstandardNth33gt13*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt13 + - 2*J12L*J32L*PDstandardNth13gt13 + dJ122L*PDstandardNth1gt13 + - 2*J22L*J32L*PDstandardNth23gt13 + dJ222L*PDstandardNth2gt13 + - dJ322L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J12L) + - PDstandardNth22gt13*SQR(J22L) + PDstandardNth33gt13*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt13 + - 2*J13L*J33L*PDstandardNth13gt13 + dJ133L*PDstandardNth1gt13 + - 2*J23L*J33L*PDstandardNth23gt13 + dJ233L*PDstandardNth2gt13 + - dJ333L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J13L) + - PDstandardNth22gt13*SQR(J23L) + PDstandardNth33gt13*SQR(J33L))); - - CCTK_REAL Rt22 = Gt112*(Gtlu121 + 2*Gtlu211) + Gt122*(Gtlu122 + - 2*Gtlu212) + Gt123*(Gtlu123 + 2*Gtlu213) + 3*(Gt212*Gtlu221 + - Gt222*Gtlu222 + Gt223*Gtlu223) + 2*(Gt312*Gtlu231 + Gt322*Gtlu232 + - Gt323*Gtlu233) + Gt312*Gtlu321 + Gt322*Gtlu322 + Gt323*Gtlu323 + - J12L*(gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + - gt23L*PDstandardNth1Xt3) + J22L*(gt12L*PDstandardNth2Xt1 + - gt22L*PDstandardNth2Xt2 + gt23L*PDstandardNth2Xt3) + - J32L*(gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + - gt23L*PDstandardNth3Xt3) + Gtl212*Xtn1 + Gtl222*Xtn2 + Gtl223*Xtn3 + - khalf*(-2*(gtu12*(J11L*J12L*PDstandardNth11gt22 + - J12L*J21L*PDstandardNth12gt22 + J11L*J22L*PDstandardNth12gt22 + - J12L*J31L*PDstandardNth13gt22 + J11L*J32L*PDstandardNth13gt22 + - dJ112L*PDstandardNth1gt22 + J21L*J22L*PDstandardNth22gt22 + - J22L*J31L*PDstandardNth23gt22 + J21L*J32L*PDstandardNth23gt22 + - dJ212L*PDstandardNth2gt22 + J31L*J32L*PDstandardNth33gt22 + - dJ312L*PDstandardNth3gt22) + gtu13*(J11L*J13L*PDstandardNth11gt22 + - J13L*J21L*PDstandardNth12gt22 + J11L*J23L*PDstandardNth12gt22 + - J13L*J31L*PDstandardNth13gt22 + J11L*J33L*PDstandardNth13gt22 + - dJ113L*PDstandardNth1gt22 + J21L*J23L*PDstandardNth22gt22 + - J23L*J31L*PDstandardNth23gt22 + J21L*J33L*PDstandardNth23gt22 + - dJ213L*PDstandardNth2gt22 + J31L*J33L*PDstandardNth33gt22 + - dJ313L*PDstandardNth3gt22) + gtu23*(J12L*J13L*PDstandardNth11gt22 + - J13L*J22L*PDstandardNth12gt22 + J12L*J23L*PDstandardNth12gt22 + - J13L*J32L*PDstandardNth13gt22 + J12L*J33L*PDstandardNth13gt22 + - dJ123L*PDstandardNth1gt22 + J22L*J23L*PDstandardNth22gt22 + - J23L*J32L*PDstandardNth23gt22 + J22L*J33L*PDstandardNth23gt22 + - dJ223L*PDstandardNth2gt22 + J32L*J33L*PDstandardNth33gt22 + - dJ323L*PDstandardNth3gt22)) - gtu11*(2*J11L*J21L*PDstandardNth12gt22 + - 2*J11L*J31L*PDstandardNth13gt22 + dJ111L*PDstandardNth1gt22 + - 2*J21L*J31L*PDstandardNth23gt22 + dJ211L*PDstandardNth2gt22 + - dJ311L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J11L) + - PDstandardNth22gt22*SQR(J21L) + PDstandardNth33gt22*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt22 + - 2*J12L*J32L*PDstandardNth13gt22 + dJ122L*PDstandardNth1gt22 + - 2*J22L*J32L*PDstandardNth23gt22 + dJ222L*PDstandardNth2gt22 + - dJ322L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J12L) + - PDstandardNth22gt22*SQR(J22L) + PDstandardNth33gt22*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt22 + - 2*J13L*J33L*PDstandardNth13gt22 + dJ133L*PDstandardNth1gt22 + - 2*J23L*J33L*PDstandardNth23gt22 + dJ233L*PDstandardNth2gt22 + - dJ333L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J13L) + - PDstandardNth22gt22*SQR(J23L) + PDstandardNth33gt22*SQR(J33L))); - - CCTK_REAL Rt23 = Gt113*Gtlu211 + Gt133*Gtlu213 + Gt213*Gtlu221 + - Gt233*Gtlu223 + (Gt212 + Gt313)*Gtlu231 + (Gt222 + Gt323)*Gtlu232 + - Gt333*Gtlu233 + Gt112*(Gtlu131 + Gtlu311) + Gt122*(Gtlu132 + Gtlu312) + - Gt123*(Gtlu133 + Gtlu212 + Gtlu313) + Gt212*Gtlu321 + Gt222*Gtlu322 + - Gt223*(Gtlu222 + Gtlu233 + Gtlu323) + 2*(Gt312*Gtlu331 + Gt322*Gtlu332 - + Gt323*Gtlu333) + khalf*((gt13L*J12L + gt12L*J13L)*PDstandardNth1Xt1 + - (gt23L*J12L + gt22L*J13L)*PDstandardNth1Xt2 + (gt33L*J12L + - gt23L*J13L)*PDstandardNth1Xt3 + (gt13L*J22L + - gt12L*J23L)*PDstandardNth2Xt1 + (gt23L*J22L + - gt22L*J23L)*PDstandardNth2Xt2 + (gt33L*J22L + - gt23L*J23L)*PDstandardNth2Xt3 - 2*(gtu12*(J11L*J12L*PDstandardNth11gt23 - + J12L*J21L*PDstandardNth12gt23 + J11L*J22L*PDstandardNth12gt23 + - J12L*J31L*PDstandardNth13gt23 + J11L*J32L*PDstandardNth13gt23 + - dJ112L*PDstandardNth1gt23 + J21L*J22L*PDstandardNth22gt23 + - J22L*J31L*PDstandardNth23gt23 + J21L*J32L*PDstandardNth23gt23 + - dJ212L*PDstandardNth2gt23 + J31L*J32L*PDstandardNth33gt23 + - dJ312L*PDstandardNth3gt23) + gtu13*(J11L*J13L*PDstandardNth11gt23 + - J13L*J21L*PDstandardNth12gt23 + J11L*J23L*PDstandardNth12gt23 + - J13L*J31L*PDstandardNth13gt23 + J11L*J33L*PDstandardNth13gt23 + - dJ113L*PDstandardNth1gt23 + J21L*J23L*PDstandardNth22gt23 + - J23L*J31L*PDstandardNth23gt23 + J21L*J33L*PDstandardNth23gt23 + - dJ213L*PDstandardNth2gt23 + J31L*J33L*PDstandardNth33gt23 + - dJ313L*PDstandardNth3gt23) + gtu23*(J12L*J13L*PDstandardNth11gt23 + - J13L*J22L*PDstandardNth12gt23 + J12L*J23L*PDstandardNth12gt23 + - J13L*J32L*PDstandardNth13gt23 + J12L*J33L*PDstandardNth13gt23 + - dJ123L*PDstandardNth1gt23 + J22L*J23L*PDstandardNth22gt23 + - J23L*J32L*PDstandardNth23gt23 + J22L*J33L*PDstandardNth23gt23 + - dJ223L*PDstandardNth2gt23 + J32L*J33L*PDstandardNth33gt23 + - dJ323L*PDstandardNth3gt23)) + (gt13L*J32L + - gt12L*J33L)*PDstandardNth3Xt1 + (gt23L*J32L + - gt22L*J33L)*PDstandardNth3Xt2 + (gt33L*J32L + - gt23L*J33L)*PDstandardNth3Xt3 + (Gtl213 + Gtl312)*Xtn1 + (Gtl223 + - Gtl322)*Xtn2 + (Gtl233 + Gtl323)*Xtn3 - - gtu11*(2*J11L*J21L*PDstandardNth12gt23 + - 2*J11L*J31L*PDstandardNth13gt23 + dJ111L*PDstandardNth1gt23 + - 2*J21L*J31L*PDstandardNth23gt23 + dJ211L*PDstandardNth2gt23 + - dJ311L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J11L) + - PDstandardNth22gt23*SQR(J21L) + PDstandardNth33gt23*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt23 + - 2*J12L*J32L*PDstandardNth13gt23 + dJ122L*PDstandardNth1gt23 + - 2*J22L*J32L*PDstandardNth23gt23 + dJ222L*PDstandardNth2gt23 + - dJ322L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J12L) + - PDstandardNth22gt23*SQR(J22L) + PDstandardNth33gt23*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt23 + - 2*J13L*J33L*PDstandardNth13gt23 + dJ133L*PDstandardNth1gt23 + - 2*J23L*J33L*PDstandardNth23gt23 + dJ233L*PDstandardNth2gt23 + - dJ333L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J13L) + - PDstandardNth22gt23*SQR(J23L) + PDstandardNth33gt23*SQR(J33L))); - - CCTK_REAL Rt33 = Gt113*(Gtlu131 + 2*Gtlu311) + Gt123*(Gtlu132 + - 2*Gtlu312) + Gt133*(Gtlu133 + 2*Gtlu313) + Gt213*(Gtlu231 + 2*Gtlu321) - + Gt223*(Gtlu232 + 2*Gtlu322) + Gt233*(Gtlu233 + 2*Gtlu323) + - 3*(Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333) + - J13L*(gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + - gt33L*PDstandardNth1Xt3) + J23L*(gt13L*PDstandardNth2Xt1 + - gt23L*PDstandardNth2Xt2 + gt33L*PDstandardNth2Xt3) + - J33L*(gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*PDstandardNth3Xt3) + Gtl313*Xtn1 + Gtl323*Xtn2 + Gtl333*Xtn3 + - khalf*(-2*(gtu12*(J11L*J12L*PDstandardNth11gt33 + - J12L*J21L*PDstandardNth12gt33 + J11L*J22L*PDstandardNth12gt33 + - J12L*J31L*PDstandardNth13gt33 + J11L*J32L*PDstandardNth13gt33 + - dJ112L*PDstandardNth1gt33 + J21L*J22L*PDstandardNth22gt33 + - J22L*J31L*PDstandardNth23gt33 + J21L*J32L*PDstandardNth23gt33 + - dJ212L*PDstandardNth2gt33 + J31L*J32L*PDstandardNth33gt33 + - dJ312L*PDstandardNth3gt33) + gtu13*(J11L*J13L*PDstandardNth11gt33 + - J13L*J21L*PDstandardNth12gt33 + J11L*J23L*PDstandardNth12gt33 + - J13L*J31L*PDstandardNth13gt33 + J11L*J33L*PDstandardNth13gt33 + - dJ113L*PDstandardNth1gt33 + J21L*J23L*PDstandardNth22gt33 + - J23L*J31L*PDstandardNth23gt33 + J21L*J33L*PDstandardNth23gt33 + - dJ213L*PDstandardNth2gt33 + J31L*J33L*PDstandardNth33gt33 + - dJ313L*PDstandardNth3gt33) + gtu23*(J12L*J13L*PDstandardNth11gt33 + - J13L*J22L*PDstandardNth12gt33 + J12L*J23L*PDstandardNth12gt33 + - J13L*J32L*PDstandardNth13gt33 + J12L*J33L*PDstandardNth13gt33 + - dJ123L*PDstandardNth1gt33 + J22L*J23L*PDstandardNth22gt33 + - J23L*J32L*PDstandardNth23gt33 + J22L*J33L*PDstandardNth23gt33 + - dJ223L*PDstandardNth2gt33 + J32L*J33L*PDstandardNth33gt33 + - dJ323L*PDstandardNth3gt33)) - gtu11*(2*J11L*J21L*PDstandardNth12gt33 + - 2*J11L*J31L*PDstandardNth13gt33 + dJ111L*PDstandardNth1gt33 + - 2*J21L*J31L*PDstandardNth23gt33 + dJ211L*PDstandardNth2gt33 + - dJ311L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J11L) + - PDstandardNth22gt33*SQR(J21L) + PDstandardNth33gt33*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt33 + - 2*J12L*J32L*PDstandardNth13gt33 + dJ122L*PDstandardNth1gt33 + - 2*J22L*J32L*PDstandardNth23gt33 + dJ222L*PDstandardNth2gt33 + - dJ322L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J12L) + - PDstandardNth22gt33*SQR(J22L) + PDstandardNth33gt33*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt33 + - 2*J13L*J33L*PDstandardNth13gt33 + dJ133L*PDstandardNth1gt33 + - 2*J23L*J33L*PDstandardNth23gt33 + dJ233L*PDstandardNth2gt33 + - dJ333L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J13L) + - PDstandardNth22gt33*SQR(J23L) + PDstandardNth33gt33*SQR(J33L))); - - CCTK_REAL fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL cdphi1 = fac1*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - - CCTK_REAL cdphi2 = fac1*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - - CCTK_REAL cdphi3 = fac1*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - - CCTK_REAL fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - - CCTK_REAL cdphi211 = fac1*((dJ111L - Gt111*J11L - Gt211*J12L - - Gt311*J13L)*PDstandardNth1phi + 2*(J11L*(J21L*PDstandardNth12phi + - J31L*PDstandardNth13phi) + J21L*J31L*PDstandardNth23phi) + (dJ211L - - Gt111*J21L - Gt211*J22L - Gt311*J23L)*PDstandardNth2phi + (dJ311L - - Gt111*J31L - Gt211*J32L - Gt311*J33L)*PDstandardNth3phi + - PDstandardNth11phi*SQR(J11L) + PDstandardNth22phi*SQR(J21L) + - PDstandardNth33phi*SQR(J31L)) + fac2*SQR(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - - CCTK_REAL cdphi212 = fac2*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + - J31L*PDstandardNth3phi)*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi) + - fac1*(J12L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + - J31L*PDstandardNth13phi) + J11L*(J22L*PDstandardNth12phi + - J32L*PDstandardNth13phi) + (dJ112L - Gt112*J11L - Gt212*J12L - - Gt312*J13L)*PDstandardNth1phi + J22L*(J21L*PDstandardNth22phi + - J31L*PDstandardNth23phi) + (dJ212L - Gt112*J21L - Gt212*J22L - - Gt312*J23L)*PDstandardNth2phi + J32L*(J21L*PDstandardNth23phi + - J31L*PDstandardNth33phi) + (dJ312L - Gt112*J31L - Gt212*J32L - - Gt312*J33L)*PDstandardNth3phi); - - CCTK_REAL cdphi213 = fac2*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + - J31L*PDstandardNth3phi)*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + - fac1*(J13L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + - J31L*PDstandardNth13phi) + J11L*(J23L*PDstandardNth12phi + - J33L*PDstandardNth13phi) + (dJ113L - Gt113*J11L - Gt213*J12L - - Gt313*J13L)*PDstandardNth1phi + J23L*(J21L*PDstandardNth22phi + - J31L*PDstandardNth23phi) + (dJ213L - Gt113*J21L - Gt213*J22L - - Gt313*J23L)*PDstandardNth2phi + J33L*(J21L*PDstandardNth23phi + - J31L*PDstandardNth33phi) + (dJ313L - Gt113*J31L - Gt213*J32L - - Gt313*J33L)*PDstandardNth3phi); - - CCTK_REAL cdphi222 = fac1*((dJ122L - Gt122*J11L - Gt222*J12L - - Gt322*J13L)*PDstandardNth1phi + 2*(J12L*(J22L*PDstandardNth12phi + - J32L*PDstandardNth13phi) + J22L*J32L*PDstandardNth23phi) + (dJ222L - - Gt122*J21L - Gt222*J22L - Gt322*J23L)*PDstandardNth2phi + (dJ322L - - Gt122*J31L - Gt222*J32L - Gt322*J33L)*PDstandardNth3phi + - PDstandardNth11phi*SQR(J12L) + PDstandardNth22phi*SQR(J22L) + - PDstandardNth33phi*SQR(J32L)) + fac2*SQR(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - - CCTK_REAL cdphi223 = fac2*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + - J32L*PDstandardNth3phi)*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + - fac1*(J13L*(J12L*PDstandardNth11phi + J22L*PDstandardNth12phi + - J32L*PDstandardNth13phi) + J12L*(J23L*PDstandardNth12phi + - J33L*PDstandardNth13phi) + (dJ123L - Gt123*J11L - Gt223*J12L - - Gt323*J13L)*PDstandardNth1phi + J23L*(J22L*PDstandardNth22phi + - J32L*PDstandardNth23phi) + (dJ223L - Gt123*J21L - Gt223*J22L - - Gt323*J23L)*PDstandardNth2phi + J33L*(J22L*PDstandardNth23phi + - J32L*PDstandardNth33phi) + (dJ323L - Gt123*J31L - Gt223*J32L - - Gt323*J33L)*PDstandardNth3phi); - - CCTK_REAL cdphi233 = fac1*((dJ133L - Gt133*J11L - Gt233*J12L - - Gt333*J13L)*PDstandardNth1phi + 2*(J13L*(J23L*PDstandardNth12phi + - J33L*PDstandardNth13phi) + J23L*J33L*PDstandardNth23phi) + (dJ233L - - Gt133*J21L - Gt233*J22L - Gt333*J23L)*PDstandardNth2phi + (dJ333L - - Gt133*J31L - Gt233*J32L - Gt333*J33L)*PDstandardNth3phi + - PDstandardNth11phi*SQR(J13L) + PDstandardNth22phi*SQR(J23L) + - PDstandardNth33phi*SQR(J33L)) + fac2*SQR(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - - CCTK_REAL Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + - gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu12 + cdphi3*gtu13) + - cdphi2*cdphi3*gtu23) + cdphi233*gtu33 + gtu22*(cdphi222 + - 2*SQR(cdphi2)) + 2*(cdphi212*gtu12 + cdphi213*gtu13 + cdphi223*gtu23 + - gtu33*SQR(cdphi3)))); - - CCTK_REAL Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu12) - + 4*cdphi3*gt12L*gtu13) + gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu23 - + 2*(cdphi212*gtu12 + cdphi213*gtu13 + cdphi223*gtu23 + - gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 - + 2*SQR(cdphi3)))); - - CCTK_REAL Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu12 + - cdphi3*(-2 + 4*gt13L*gtu13)) + gt13L*(cdphi211*gtu11 + - 4*cdphi2*cdphi3*gtu23 + 2*(cdphi212*gtu12 + cdphi213*gtu13 + - cdphi223*gtu23 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) - + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - CCTK_REAL Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + - gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu13 + cdphi2*(cdphi1*gtu12 + - cdphi3*gtu23)) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - 2*(cdphi212*gtu12 + cdphi213*gtu13 + cdphi223*gtu23 + - gtu33*SQR(cdphi3)))); - - CCTK_REAL Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu12 + - cdphi3*(-2 + 4*gt23L*gtu23)) + gt23L*(4*cdphi1*cdphi3*gtu13 + - cdphi222*gtu22 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu12 + - cdphi213*gtu13 + cdphi223*gtu23 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 - + 2*SQR(cdphi3)))); - - CCTK_REAL Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + - 2*cdphi212)*gtu12 + 4*cdphi3*(cdphi1*gtu13 + cdphi2*gtu23) + - 2*(cdphi213*gtu13 + cdphi223*gtu23) + cdphi233*gtu33 + gtu11*(cdphi211 - + 2*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + - gt33L*gtu33)*SQR(cdphi3)); - - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL em4phi = INV(e4phi); - - CCTK_REAL gu11 = em4phi*gtu11; - - CCTK_REAL gu12 = em4phi*gtu12; - - CCTK_REAL gu13 = em4phi*gtu13; - - CCTK_REAL gu22 = em4phi*gtu22; - - CCTK_REAL gu23 = em4phi*gtu23; - - CCTK_REAL gu33 = em4phi*gtu33; - - CCTK_REAL R11 = Rphi11 + Rt11; - - CCTK_REAL R12 = Rphi12 + Rt12; - - CCTK_REAL R13 = Rphi13 + Rt13; - - CCTK_REAL R22 = Rphi22 + Rt22; - - CCTK_REAL R23 = Rphi23 + Rt23; - - CCTK_REAL R33 = Rphi33 + Rt33; - - CCTK_REAL trR = gu11*R11 + gu22*R22 + 2*(gu12*R12 + gu13*R13 + - gu23*R23) + gu33*R33; - - CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu12 + At13L*gtu13; - - CCTK_REAL Atm21 = At11L*gtu12 + At12L*gtu22 + At13L*gtu23; - - CCTK_REAL Atm31 = At11L*gtu13 + At12L*gtu23 + At13L*gtu33; - - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu12 + At23L*gtu13; - - CCTK_REAL Atm22 = At12L*gtu12 + At22L*gtu22 + At23L*gtu23; - - CCTK_REAL Atm32 = At12L*gtu13 + At22L*gtu23 + At23L*gtu33; - - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu12 + At33L*gtu13; - - CCTK_REAL Atm23 = At13L*gtu12 + At23L*gtu22 + At33L*gtu23; - - CCTK_REAL Atm33 = At13L*gtu13 + At23L*gtu23 + At33L*gtu33; - - CCTK_REAL rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + - beta3L*eTtzL) + 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + - beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + - eTzzL*SQR(beta3L)); - - CCTK_REAL HL = -2.*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - - 50.26548245743669181540229413247204614715*rho + trR - 1.*(SQR(Atm11) + - SQR(Atm22) + SQR(Atm33)) + - 0.6666666666666666666666666666666666666667*SQR(trKL); - - - /* Copy local copies back to grid functions */ - H[index] = HL; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_constraints1); -} - -void ML_BSSN_MP_O8_constraints1(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_O8_constraints1_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_constraints2.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_constraints2.c deleted file mode 100644 index 5733cd9..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_constraints2.c +++ /dev/null @@ -1,522 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_constraints2_SelectBCs(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_cons_detg","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_cons_detg."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_cons_Gamma","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_cons_Gamma."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_cons_traceA","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_cons_traceA."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_mom","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_mom."); - return; -} - -void ML_BSSN_MP_O8_constraints2_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_constraints2_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_constraints2_calc_every != ML_BSSN_MP_O8_constraints2_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_constraints2, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1At11 = INITVALUE; - // CCTK_REAL PDstandardNth2At11 = INITVALUE; - // CCTK_REAL PDstandardNth3At11 = INITVALUE; - // CCTK_REAL PDstandardNth1At12 = INITVALUE; - // CCTK_REAL PDstandardNth2At12 = INITVALUE; - // CCTK_REAL PDstandardNth3At12 = INITVALUE; - // CCTK_REAL PDstandardNth1At13 = INITVALUE; - // CCTK_REAL PDstandardNth2At13 = INITVALUE; - // CCTK_REAL PDstandardNth3At13 = INITVALUE; - // CCTK_REAL PDstandardNth1At22 = INITVALUE; - // CCTK_REAL PDstandardNth2At22 = INITVALUE; - // CCTK_REAL PDstandardNth3At22 = INITVALUE; - // CCTK_REAL PDstandardNth1At23 = INITVALUE; - // CCTK_REAL PDstandardNth2At23 = INITVALUE; - // CCTK_REAL PDstandardNth3At23 = INITVALUE; - // CCTK_REAL PDstandardNth1At33 = INITVALUE; - // CCTK_REAL PDstandardNth2At33 = INITVALUE; - // CCTK_REAL PDstandardNth3At33 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth1trK = INITVALUE; - // CCTK_REAL PDstandardNth2trK = INITVALUE; - // CCTK_REAL PDstandardNth3trK = INITVALUE; - - /* Assign local copies of grid functions */ - CCTK_REAL alphaL = alpha[index]; - CCTK_REAL At11L = At11[index]; - CCTK_REAL At12L = At12[index]; - CCTK_REAL At13L = At13[index]; - CCTK_REAL At22L = At22[index]; - CCTK_REAL At23L = At23[index]; - CCTK_REAL At33L = At33[index]; - CCTK_REAL beta1L = beta1[index]; - CCTK_REAL beta2L = beta2[index]; - CCTK_REAL beta3L = beta3[index]; - CCTK_REAL eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; - CCTK_REAL eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; - CCTK_REAL eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; - CCTK_REAL eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; - CCTK_REAL eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; - CCTK_REAL eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; - CCTK_REAL eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; - CCTK_REAL eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; - CCTK_REAL eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; - CCTK_REAL gt11L = gt11[index]; - CCTK_REAL gt12L = gt12[index]; - CCTK_REAL gt13L = gt13[index]; - CCTK_REAL gt22L = gt22[index]; - CCTK_REAL gt23L = gt23[index]; - CCTK_REAL gt33L = gt33[index]; - CCTK_REAL J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[index]; - CCTK_REAL phiL = phi[index]; - CCTK_REAL trKL = trK[index]; - CCTK_REAL Xt1L = Xt1[index]; - CCTK_REAL Xt2L = Xt2[index]; - CCTK_REAL Xt3L = Xt3[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - CCTK_REAL const PDstandardNth1At11 = PDstandardNth1(At11, i, j, k); - CCTK_REAL const PDstandardNth2At11 = PDstandardNth2(At11, i, j, k); - CCTK_REAL const PDstandardNth3At11 = PDstandardNth3(At11, i, j, k); - CCTK_REAL const PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); - CCTK_REAL const PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); - CCTK_REAL const PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); - CCTK_REAL const PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); - CCTK_REAL const PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); - CCTK_REAL const PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); - CCTK_REAL const PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); - CCTK_REAL const PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); - CCTK_REAL const PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); - CCTK_REAL const PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); - CCTK_REAL const PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); - CCTK_REAL const PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); - CCTK_REAL const PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); - CCTK_REAL const PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); - CCTK_REAL const PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); - CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - - /* Calculate temporaries and grid functions */ - CCTK_REAL detgt = 1; - - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL gtu12 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL gtu13 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL gtu23 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - CCTK_REAL Gtl111 = khalf*(J11L*PDstandardNth1gt11 + - J21L*PDstandardNth2gt11 + J31L*PDstandardNth3gt11); - - CCTK_REAL Gtl112 = khalf*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11); - - CCTK_REAL Gtl113 = khalf*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11); - - CCTK_REAL Gtl122 = J12L*PDstandardNth1gt12 - - J11L*khalf*PDstandardNth1gt22 + J22L*PDstandardNth2gt12 - - J21L*khalf*PDstandardNth2gt22 + J32L*PDstandardNth3gt12 - - J31L*khalf*PDstandardNth3gt22; - - CCTK_REAL Gtl123 = khalf*(J13L*PDstandardNth1gt12 + - J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl133 = J13L*PDstandardNth1gt13 - - J11L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt13 - - J21L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt13 - - J31L*khalf*PDstandardNth3gt33; - - CCTK_REAL Gtl211 = -(J12L*khalf*PDstandardNth1gt11) + - J11L*PDstandardNth1gt12 - J22L*khalf*PDstandardNth2gt11 + - J21L*PDstandardNth2gt12 - J32L*khalf*PDstandardNth3gt11 + - J31L*PDstandardNth3gt12; - - CCTK_REAL Gtl212 = khalf*(J11L*PDstandardNth1gt22 + - J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22); - - CCTK_REAL Gtl213 = khalf*(J13L*PDstandardNth1gt12 - - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl222 = khalf*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22); - - CCTK_REAL Gtl223 = khalf*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22); - - CCTK_REAL Gtl233 = J13L*PDstandardNth1gt23 - - J12L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt23 - - J22L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt23 - - J32L*khalf*PDstandardNth3gt33; - - CCTK_REAL Gtl311 = -(J13L*khalf*PDstandardNth1gt11) + - J11L*PDstandardNth1gt13 - J23L*khalf*PDstandardNth2gt11 + - J21L*PDstandardNth2gt13 - J33L*khalf*PDstandardNth3gt11 + - J31L*PDstandardNth3gt13; - - CCTK_REAL Gtl312 = khalf*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl313 = khalf*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33); - - CCTK_REAL Gtl322 = -(J13L*khalf*PDstandardNth1gt22) + - J12L*PDstandardNth1gt23 - J23L*khalf*PDstandardNth2gt22 + - J22L*PDstandardNth2gt23 - J33L*khalf*PDstandardNth3gt22 + - J32L*PDstandardNth3gt23; - - CCTK_REAL Gtl323 = khalf*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33); - - CCTK_REAL Gtl333 = khalf*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33); - - CCTK_REAL Gt111 = Gtl111*gtu11 + Gtl211*gtu12 + Gtl311*gtu13; - - CCTK_REAL Gt211 = Gtl111*gtu12 + Gtl211*gtu22 + Gtl311*gtu23; - - CCTK_REAL Gt311 = Gtl111*gtu13 + Gtl211*gtu23 + Gtl311*gtu33; - - CCTK_REAL Gt112 = Gtl112*gtu11 + Gtl212*gtu12 + Gtl312*gtu13; - - CCTK_REAL Gt212 = Gtl112*gtu12 + Gtl212*gtu22 + Gtl312*gtu23; - - CCTK_REAL Gt312 = Gtl112*gtu13 + Gtl212*gtu23 + Gtl312*gtu33; - - CCTK_REAL Gt113 = Gtl113*gtu11 + Gtl213*gtu12 + Gtl313*gtu13; - - CCTK_REAL Gt213 = Gtl113*gtu12 + Gtl213*gtu22 + Gtl313*gtu23; - - CCTK_REAL Gt313 = Gtl113*gtu13 + Gtl213*gtu23 + Gtl313*gtu33; - - CCTK_REAL Gt122 = Gtl122*gtu11 + Gtl222*gtu12 + Gtl322*gtu13; - - CCTK_REAL Gt222 = Gtl122*gtu12 + Gtl222*gtu22 + Gtl322*gtu23; - - CCTK_REAL Gt322 = Gtl122*gtu13 + Gtl222*gtu23 + Gtl322*gtu33; - - CCTK_REAL Gt123 = Gtl123*gtu11 + Gtl223*gtu12 + Gtl323*gtu13; - - CCTK_REAL Gt223 = Gtl123*gtu12 + Gtl223*gtu22 + Gtl323*gtu23; - - CCTK_REAL Gt323 = Gtl123*gtu13 + Gtl223*gtu23 + Gtl323*gtu33; - - CCTK_REAL Gt133 = Gtl133*gtu11 + Gtl233*gtu12 + Gtl333*gtu13; - - CCTK_REAL Gt233 = Gtl133*gtu12 + Gtl233*gtu22 + Gtl333*gtu23; - - CCTK_REAL Gt333 = Gtl133*gtu13 + Gtl233*gtu23 + Gtl333*gtu33; - - CCTK_REAL fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL cdphi1 = fac1*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - - CCTK_REAL cdphi2 = fac1*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - - CCTK_REAL cdphi3 = fac1*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - - CCTK_REAL S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + - beta3L*eTxzL)*INV(alphaL); - - CCTK_REAL S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + - beta3L*eTyzL)*INV(alphaL); - - CCTK_REAL S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + - beta3L*eTzzL)*INV(alphaL); - - CCTK_REAL M1L = -(At12L*Gt112*gtu22) - At22L*Gt212*gtu22 - - At12L*Gt222*gtu22 - At23L*Gt312*gtu22 + At12L*(6*cdphi1*gtu12 - - Gt111*gtu12 - 3*Gt213*gtu13 + 6*cdphi2*gtu22) + At11L*(6*cdphi1*gtu11 - - 2*Gt111*gtu11 + 6*cdphi2*gtu12 + 6*cdphi3*gtu13 - Gt122*gtu22) + - At13L*(6*cdphi1*gtu13 - Gt111*gtu13 - Gt322*gtu22) + - 6*At13L*cdphi2*gtu23 + 6*At12L*cdphi3*gtu23 - At13L*Gt112*gtu23 - - At12L*Gt113*gtu23 - At23L*Gt212*gtu23 - At22L*Gt213*gtu23 - - 2*At12L*Gt223*gtu23 - At33L*Gt312*gtu23 - At23L*Gt313*gtu23 - - 2*At13L*Gt323*gtu23 - 2*(At12L*Gt211*gtu11 + At13L*Gt311*gtu11 + - At11L*Gt123*gtu23) + 6*At13L*cdphi3*gtu33 - At13L*Gt113*gtu33 - - At11L*Gt133*gtu33 - At23L*Gt213*gtu33 - At12L*Gt233*gtu33 - - At33L*Gt313*gtu33 - At13L*Gt333*gtu33 + (gtu11*J11L + gtu12*J12L + - gtu13*J13L)*PDstandardNth1At11 + gtu22*J12L*PDstandardNth1At12 + - gtu23*J13L*PDstandardNth1At12 + gtu12*(-3*At11L*Gt112 - At22L*Gt211 - - 3*At12L*Gt212 - At23L*Gt311 - 3*At13L*Gt312 + J11L*PDstandardNth1At12) - + gtu23*J12L*PDstandardNth1At13 + gtu33*J13L*PDstandardNth1At13 + - gtu13*(-3*At11L*Gt113 - At23L*Gt211 - At33L*Gt311 - 3*At13L*Gt313 + - J11L*PDstandardNth1At13) - J11L*ktwothird*PDstandardNth1trK + - (gtu11*J21L + gtu12*J22L + gtu13*J23L)*PDstandardNth2At11 + - gtu12*J21L*PDstandardNth2At12 + gtu22*J22L*PDstandardNth2At12 + - gtu23*J23L*PDstandardNth2At12 + gtu13*J21L*PDstandardNth2At13 + - gtu23*J22L*PDstandardNth2At13 + gtu33*J23L*PDstandardNth2At13 - - J21L*ktwothird*PDstandardNth2trK + gtu11*J31L*PDstandardNth3At11 + - gtu12*J32L*PDstandardNth3At11 + gtu13*J33L*PDstandardNth3At11 + - gtu12*J31L*PDstandardNth3At12 + gtu22*J32L*PDstandardNth3At12 + - gtu23*J33L*PDstandardNth3At12 + gtu13*J31L*PDstandardNth3At13 + - gtu23*J32L*PDstandardNth3At13 + gtu33*J33L*PDstandardNth3At13 - - J31L*ktwothird*PDstandardNth3trK - - 25.13274122871834590770114706623602307358*S1; - - CCTK_REAL M2L = -(At11L*Gt112*gtu11) - At22L*Gt211*gtu11 - - At12L*Gt212*gtu11 - At23L*Gt311*gtu11 - At13L*Gt312*gtu11 + - At12L*(6*cdphi1*gtu11 - Gt111*gtu11) + 6*At22L*cdphi1*gtu12 + - 6*At12L*cdphi2*gtu12 - 3*At12L*Gt112*gtu12 - At11L*Gt122*gtu12 - - 3*At22L*Gt212*gtu12 - At12L*Gt222*gtu12 - 3*At23L*Gt312*gtu12 - - At13L*Gt322*gtu12 + 6*At23L*cdphi1*gtu13 + 6*At12L*cdphi3*gtu13 - - At13L*Gt112*gtu13 - 2*At12L*Gt113*gtu13 - At11L*Gt123*gtu13 - - At23L*Gt212*gtu13 - 2*At22L*Gt213*gtu13 - At12L*Gt223*gtu13 - - At33L*Gt312*gtu13 - 2*At23L*Gt313*gtu13 - At13L*Gt323*gtu13 + - 6*At22L*cdphi2*gtu22 - 2*At12L*Gt122*gtu22 - 2*At22L*Gt222*gtu22 - - 2*At23L*Gt322*gtu22 + 6*At23L*cdphi2*gtu23 + 6*At22L*cdphi3*gtu23 - - At13L*Gt122*gtu23 - 3*At12L*Gt123*gtu23 - At23L*Gt222*gtu23 - - 3*At22L*Gt223*gtu23 - At33L*Gt322*gtu23 - 3*At23L*Gt323*gtu23 + - 6*At23L*cdphi3*gtu33 - At13L*Gt123*gtu33 - At12L*Gt133*gtu33 - - At23L*Gt223*gtu33 - At22L*Gt233*gtu33 - At33L*Gt323*gtu33 - - At23L*Gt333*gtu33 + (gtu11*J11L + gtu12*J12L + - gtu13*J13L)*PDstandardNth1At12 + gtu12*J11L*PDstandardNth1At22 + - gtu22*J12L*PDstandardNth1At22 + gtu23*J13L*PDstandardNth1At22 + - gtu13*J11L*PDstandardNth1At23 + gtu23*J12L*PDstandardNth1At23 + - gtu33*J13L*PDstandardNth1At23 - J12L*ktwothird*PDstandardNth1trK + - (gtu11*J21L + gtu12*J22L + gtu13*J23L)*PDstandardNth2At12 + - gtu12*J21L*PDstandardNth2At22 + gtu22*J22L*PDstandardNth2At22 + - gtu23*J23L*PDstandardNth2At22 + gtu13*J21L*PDstandardNth2At23 + - gtu23*J22L*PDstandardNth2At23 + gtu33*J23L*PDstandardNth2At23 - - J22L*ktwothird*PDstandardNth2trK + gtu11*J31L*PDstandardNth3At12 + - gtu12*J32L*PDstandardNth3At12 + gtu13*J33L*PDstandardNth3At12 + - gtu12*J31L*PDstandardNth3At22 + gtu22*J32L*PDstandardNth3At22 + - gtu23*J33L*PDstandardNth3At22 + gtu13*J31L*PDstandardNth3At23 + - gtu23*J32L*PDstandardNth3At23 + gtu33*J33L*PDstandardNth3At23 - - J32L*ktwothird*PDstandardNth3trK - - 25.13274122871834590770114706623602307358*S2; - - CCTK_REAL M3L = -(At11L*Gt113*gtu11) - At23L*Gt211*gtu11 - - At12L*Gt213*gtu11 - At33L*Gt311*gtu11 - At13L*Gt313*gtu11 + - At13L*(6*cdphi1*gtu11 - Gt111*gtu11) + 6*At23L*cdphi1*gtu12 + - 6*At13L*cdphi2*gtu12 - 2*At13L*Gt112*gtu12 - At12L*Gt113*gtu12 - - At11L*Gt123*gtu12 - 2*At23L*Gt212*gtu12 - At22L*Gt213*gtu12 - - At12L*Gt223*gtu12 - 2*At33L*Gt312*gtu12 - At23L*Gt313*gtu12 - - At13L*Gt323*gtu12 + 6*At33L*cdphi1*gtu13 + 6*At13L*cdphi3*gtu13 - - 3*At13L*Gt113*gtu13 - At11L*Gt133*gtu13 - 3*At23L*Gt213*gtu13 - - At12L*Gt233*gtu13 - 3*At33L*Gt313*gtu13 - At13L*Gt333*gtu13 + - 6*At23L*cdphi2*gtu22 - At13L*Gt122*gtu22 - At12L*Gt123*gtu22 - - At23L*Gt222*gtu22 - At22L*Gt223*gtu22 - At33L*Gt322*gtu22 - - At23L*Gt323*gtu22 + 6*At33L*cdphi2*gtu23 + 6*At23L*cdphi3*gtu23 - - 3*At13L*Gt123*gtu23 - At12L*Gt133*gtu23 - 3*At23L*Gt223*gtu23 - - At22L*Gt233*gtu23 - 3*At33L*Gt323*gtu23 - At23L*Gt333*gtu23 + - 6*At33L*cdphi3*gtu33 - 2*At13L*Gt133*gtu33 - 2*At23L*Gt233*gtu33 - - 2*At33L*Gt333*gtu33 + (gtu11*J11L + gtu12*J12L + - gtu13*J13L)*PDstandardNth1At13 + gtu12*J11L*PDstandardNth1At23 + - gtu22*J12L*PDstandardNth1At23 + gtu23*J13L*PDstandardNth1At23 + - gtu13*J11L*PDstandardNth1At33 + gtu23*J12L*PDstandardNth1At33 + - gtu33*J13L*PDstandardNth1At33 - J13L*ktwothird*PDstandardNth1trK + - (gtu11*J21L + gtu12*J22L + gtu13*J23L)*PDstandardNth2At13 + - gtu12*J21L*PDstandardNth2At23 + gtu22*J22L*PDstandardNth2At23 + - gtu23*J23L*PDstandardNth2At23 + gtu13*J21L*PDstandardNth2At33 + - gtu23*J22L*PDstandardNth2At33 + gtu33*J23L*PDstandardNth2At33 - - J23L*ktwothird*PDstandardNth2trK + gtu11*J31L*PDstandardNth3At13 + - gtu12*J32L*PDstandardNth3At13 + gtu13*J33L*PDstandardNth3At13 + - gtu12*J31L*PDstandardNth3At23 + gtu22*J32L*PDstandardNth3At23 + - gtu23*J33L*PDstandardNth3At23 + gtu13*J31L*PDstandardNth3At33 + - gtu23*J32L*PDstandardNth3At33 + gtu33*J33L*PDstandardNth3At33 - - J33L*ktwothird*PDstandardNth3trK - - 25.13274122871834590770114706623602307358*S3; - - CCTK_REAL cSL = Log(detgt); - - CCTK_REAL cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu12 + - Gt113*gtu13 + Gt123*gtu23) + Gt133*gtu33 - Xt1L; - - CCTK_REAL cXt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu12 + - Gt213*gtu13 + Gt223*gtu23) + Gt233*gtu33 - Xt2L; - - CCTK_REAL cXt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu12 + - Gt313*gtu13 + Gt323*gtu23) + Gt333*gtu33 - Xt3L; - - CCTK_REAL cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu12 + - At13L*gtu13 + At23L*gtu23) + At33L*gtu33; - - - /* Copy local copies back to grid functions */ - cA[index] = cAL; - cS[index] = cSL; - cXt1[index] = cXt1L; - cXt2[index] = cXt2L; - cXt3[index] = cXt3L; - M1[index] = M1L; - M2[index] = M2L; - M3[index] = M3L; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_constraints2); -} - -void ML_BSSN_MP_O8_constraints2(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_O8_constraints2_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertFromADMBase.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertFromADMBase.c deleted file mode 100644 index e017c3b..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertFromADMBase.c +++ /dev/null @@ -1,220 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_convertFromADMBase_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_convertFromADMBase_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_convertFromADMBase_calc_every != ML_BSSN_MP_O8_convertFromADMBase_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_convertFromADMBase, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - CCTK_REAL alpL = alp[index]; - CCTK_REAL betaxL = betax[index]; - CCTK_REAL betayL = betay[index]; - CCTK_REAL betazL = betaz[index]; - CCTK_REAL gxxL = gxx[index]; - CCTK_REAL gxyL = gxy[index]; - CCTK_REAL gxzL = gxz[index]; - CCTK_REAL gyyL = gyy[index]; - CCTK_REAL gyzL = gyz[index]; - CCTK_REAL gzzL = gzz[index]; - CCTK_REAL kxxL = kxx[index]; - CCTK_REAL kxyL = kxy[index]; - CCTK_REAL kxzL = kxz[index]; - CCTK_REAL kyyL = kyy[index]; - CCTK_REAL kyzL = kyz[index]; - CCTK_REAL kzzL = kzz[index]; - CCTK_REAL phiL = phi[index]; - CCTK_REAL trKL = trK[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL g11 = gxxL; - - CCTK_REAL g12 = gxyL; - - CCTK_REAL g13 = gxzL; - - CCTK_REAL g22 = gyyL; - - CCTK_REAL g23 = gyzL; - - CCTK_REAL g33 = gzzL; - - CCTK_REAL detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - - g22*SQR(g13) - g11*SQR(g23); - - CCTK_REAL gu11 = INV(detg)*(g22*g33 - SQR(g23)); - - CCTK_REAL gu12 = (g13*g23 - g12*g33)*INV(detg); - - CCTK_REAL gu13 = (-(g13*g22) + g12*g23)*INV(detg); - - CCTK_REAL gu22 = INV(detg)*(g11*g33 - SQR(g13)); - - CCTK_REAL gu23 = (g12*g13 - g11*g23)*INV(detg); - - CCTK_REAL gu33 = INV(detg)*(g11*g22 - SQR(g12)); - - phiL = - IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); - - CCTK_REAL em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - - CCTK_REAL gt11L = em4phi*g11; - - CCTK_REAL gt12L = em4phi*g12; - - CCTK_REAL gt13L = em4phi*g13; - - CCTK_REAL gt22L = em4phi*g22; - - CCTK_REAL gt23L = em4phi*g23; - - CCTK_REAL gt33L = em4phi*g33; - - trKL = gu11*kxxL + gu22*kyyL + 2*(gu12*kxyL + gu13*kxzL + gu23*kyzL) + - gu33*kzzL; - - CCTK_REAL At11L = em4phi*(kxxL - g11*kthird*trKL); - - CCTK_REAL At12L = em4phi*(kxyL - g12*kthird*trKL); - - CCTK_REAL At13L = em4phi*(kxzL - g13*kthird*trKL); - - CCTK_REAL At22L = em4phi*(kyyL - g22*kthird*trKL); - - CCTK_REAL At23L = em4phi*(kyzL - g23*kthird*trKL); - - CCTK_REAL At33L = em4phi*(kzzL - g33*kthird*trKL); - - CCTK_REAL alphaL = alpL; - - CCTK_REAL beta1L = betaxL; - - CCTK_REAL beta2L = betayL; - - CCTK_REAL beta3L = betazL; - - - /* Copy local copies back to grid functions */ - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_convertFromADMBase); -} - -void ML_BSSN_MP_O8_convertFromADMBase(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_MP_O8_convertFromADMBase_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertFromADMBaseGamma.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertFromADMBaseGamma.c deleted file mode 100644 index 1bba4d5..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertFromADMBaseGamma.c +++ /dev/null @@ -1,769 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_convertFromADMBaseGamma_SelectBCs(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_dtlapse","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_dtlapse."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_dtshift","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_dtshift."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN_MP_O8::ML_Gamma","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ML_BSSN_MP_O8::ML_Gamma."); - return; -} - -void ML_BSSN_MP_O8_convertFromADMBaseGamma_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_convertFromADMBaseGamma_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_convertFromADMBaseGamma_calc_every != ML_BSSN_MP_O8_convertFromADMBaseGamma_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_convertFromADMBaseGamma, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDupwindNthAnti1alpha = INITVALUE; - // CCTK_REAL PDupwindNthSymm1alpha = INITVALUE; - // CCTK_REAL PDupwindNthAnti2alpha = INITVALUE; - // CCTK_REAL PDupwindNthSymm2alpha = INITVALUE; - // CCTK_REAL PDupwindNthAnti3alpha = INITVALUE; - // CCTK_REAL PDupwindNthSymm3alpha = INITVALUE; - // CCTK_REAL PDupwindNthAnti1beta1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1beta1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2beta1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2beta1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3beta1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3beta1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1beta2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1beta2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2beta2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2beta2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3beta2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3beta2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1beta3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1beta3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2beta3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2beta3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3beta3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - - /* Assign local copies of grid functions */ - CCTK_REAL alphaL = alpha[index]; - CCTK_REAL beta1L = beta1[index]; - CCTK_REAL beta2L = beta2[index]; - CCTK_REAL beta3L = beta3[index]; - CCTK_REAL dtalpL = dtalp[index]; - CCTK_REAL dtbetaxL = dtbetax[index]; - CCTK_REAL dtbetayL = dtbetay[index]; - CCTK_REAL dtbetazL = dtbetaz[index]; - CCTK_REAL gt11L = gt11[index]; - CCTK_REAL gt12L = gt12[index]; - CCTK_REAL gt13L = gt13[index]; - CCTK_REAL gt22L = gt22[index]; - CCTK_REAL gt23L = gt23[index]; - CCTK_REAL gt33L = gt33[index]; - CCTK_REAL J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[index]; - CCTK_REAL rL = r[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - CCTK_REAL const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); - CCTK_REAL const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); - CCTK_REAL const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); - CCTK_REAL const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); - CCTK_REAL const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); - CCTK_REAL const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); - CCTK_REAL const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); - CCTK_REAL const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); - CCTK_REAL const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); - CCTK_REAL const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); - CCTK_REAL const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); - CCTK_REAL const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); - CCTK_REAL const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); - CCTK_REAL const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); - CCTK_REAL const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); - CCTK_REAL const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); - CCTK_REAL const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); - CCTK_REAL const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); - CCTK_REAL const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); - CCTK_REAL const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); - CCTK_REAL const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); - CCTK_REAL const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); - CCTK_REAL const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); - CCTK_REAL const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); - CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); - CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); - CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL gtu12 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL gtu13 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL gtu23 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - CCTK_REAL Gt111 = khalf*((gtu11*J11L - gtu12*J12L - - gtu13*J13L)*PDstandardNth1gt11 + (gtu11*J21L - gtu12*J22L - - gtu13*J23L)*PDstandardNth2gt11 + (gtu11*J31L - gtu12*J32L - - gtu13*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu12*PDstandardNth1gt12 + - gtu13*PDstandardNth1gt13) + J21L*(gtu12*PDstandardNth2gt12 + - gtu13*PDstandardNth2gt13) + J31L*(gtu12*PDstandardNth3gt12 + - gtu13*PDstandardNth3gt13))); - - CCTK_REAL Gt211 = khalf*((gtu12*J11L - gtu22*J12L - - gtu23*J13L)*PDstandardNth1gt11 + (gtu12*J21L - gtu22*J22L - - gtu23*J23L)*PDstandardNth2gt11 + (gtu12*J31L - gtu22*J32L - - gtu23*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu22*PDstandardNth1gt12 + - gtu23*PDstandardNth1gt13) + J21L*(gtu22*PDstandardNth2gt12 + - gtu23*PDstandardNth2gt13) + J31L*(gtu22*PDstandardNth3gt12 + - gtu23*PDstandardNth3gt13))); - - CCTK_REAL Gt311 = khalf*((gtu13*J11L - gtu23*J12L - - gtu33*J13L)*PDstandardNth1gt11 + (gtu13*J21L - gtu23*J22L - - gtu33*J23L)*PDstandardNth2gt11 + (gtu13*J31L - gtu23*J32L - - gtu33*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu23*PDstandardNth1gt12 + - gtu33*PDstandardNth1gt13) + J21L*(gtu23*PDstandardNth2gt12 + - gtu33*PDstandardNth2gt13) + J31L*(gtu23*PDstandardNth3gt12 + - gtu33*PDstandardNth3gt13))); - - CCTK_REAL Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + - gtu12*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + - J31L*PDstandardNth3gt22) + gtu13*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - - CCTK_REAL Gt212 = khalf*(gtu12*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + - gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + - J31L*PDstandardNth3gt22) + gtu23*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - - CCTK_REAL Gt312 = khalf*(gtu13*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + - gtu23*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + - J31L*PDstandardNth3gt22) + gtu33*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - - CCTK_REAL Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + - gtu12*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + - J31L*PDstandardNth3gt23) + gtu13*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - - CCTK_REAL Gt213 = khalf*(gtu12*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + - gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + - J31L*PDstandardNth3gt23) + gtu23*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - - CCTK_REAL Gt313 = khalf*(gtu13*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + - gtu23*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + - J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - - CCTK_REAL Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + - 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - - J31L*PDstandardNth3gt22) + gtu12*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - - gtu13*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + - J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + - J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - - CCTK_REAL Gt222 = khalf*(gtu12*(-(J11L*PDstandardNth1gt22) + - 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - - J31L*PDstandardNth3gt22) + gtu22*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - - gtu23*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + - J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + - J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - - CCTK_REAL Gt322 = khalf*(gtu13*(-(J11L*PDstandardNth1gt22) + - 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - - J31L*PDstandardNth3gt22) + gtu23*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - - gtu33*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + - J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + - J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - - CCTK_REAL Gt123 = khalf*(gtu12*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + - gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + - J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt23) + gtu13*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - - CCTK_REAL Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + - gtu12*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + - J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt23) + gtu23*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - - CCTK_REAL Gt323 = khalf*(gtu23*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + - gtu13*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + - J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - - CCTK_REAL Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt33) + gtu12*(-(J12L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - - J32L*PDstandardNth3gt33) + gtu13*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - - CCTK_REAL Gt233 = khalf*(gtu12*(-(J11L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt33) + gtu22*(-(J12L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - - J32L*PDstandardNth3gt33) + gtu23*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - - CCTK_REAL Gt333 = khalf*(gtu13*(-(J11L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt33) + gtu23*(-(J12L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - - J32L*PDstandardNth3gt33) + gtu33*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - - CCTK_REAL Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu12 + - Gt113*gtu13 + Gt123*gtu23) + Gt133*gtu33; - - CCTK_REAL Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu12 + - Gt213*gtu13 + Gt223*gtu23) + Gt233*gtu33; - - CCTK_REAL Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu12 + - Gt313*gtu13 + Gt323*gtu23) + Gt333*gtu33; - - CCTK_REAL AL = IfThen(LapseACoeff != 0,(-dtalpL + - J11L*LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1alpha + - PDupwindNthSymm1alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta1L*J21L*PDupwindNthAnti2alpha + - J11L*PDupwindNthSymm1alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta1L*J31L*PDupwindNthAnti3alpha + - J11L*PDupwindNthSymm1alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - J21L*LapseAdvectionCoeff*(beta1L*PDupwindNthAnti2alpha + - PDupwindNthSymm2alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta1L*J11L*PDupwindNthAnti1alpha + - J21L*PDupwindNthSymm2alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta1L*J31L*PDupwindNthAnti3alpha + - J21L*PDupwindNthSymm2alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - J31L*LapseAdvectionCoeff*(beta1L*PDupwindNthAnti3alpha + - PDupwindNthSymm3alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta1L*J11L*PDupwindNthAnti1alpha + - J31L*PDupwindNthSymm3alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta1L*J21L*PDupwindNthAnti2alpha + - J31L*PDupwindNthSymm3alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - J12L*LapseAdvectionCoeff*(beta2L*PDupwindNthAnti1alpha + - PDupwindNthSymm1alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta2L*J22L*PDupwindNthAnti2alpha + - J12L*PDupwindNthSymm1alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta2L*J32L*PDupwindNthAnti3alpha + - J12L*PDupwindNthSymm1alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - J22L*LapseAdvectionCoeff*(beta2L*PDupwindNthAnti2alpha + - PDupwindNthSymm2alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta2L*J12L*PDupwindNthAnti1alpha + - J22L*PDupwindNthSymm2alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta2L*J32L*PDupwindNthAnti3alpha + - J22L*PDupwindNthSymm2alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - J32L*LapseAdvectionCoeff*(beta2L*PDupwindNthAnti3alpha + - PDupwindNthSymm3alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta2L*J12L*PDupwindNthAnti1alpha + - J32L*PDupwindNthSymm3alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta2L*J22L*PDupwindNthAnti2alpha + - J32L*PDupwindNthSymm3alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - J13L*LapseAdvectionCoeff*(beta3L*PDupwindNthAnti1alpha + - PDupwindNthSymm1alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta3L*J23L*PDupwindNthAnti2alpha + - J13L*PDupwindNthSymm1alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta3L*J33L*PDupwindNthAnti3alpha + - J13L*PDupwindNthSymm1alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - J23L*LapseAdvectionCoeff*(beta3L*PDupwindNthAnti2alpha + - PDupwindNthSymm2alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta3L*J13L*PDupwindNthAnti1alpha + - J23L*PDupwindNthSymm2alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta3L*J33L*PDupwindNthAnti3alpha + - J23L*PDupwindNthSymm2alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - J33L*LapseAdvectionCoeff*(beta3L*PDupwindNthAnti3alpha + - PDupwindNthSymm3alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta3L*J13L*PDupwindNthAnti1alpha + - J33L*PDupwindNthSymm3alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) - + IfThen(LapseACoeff != 0,(-dtalpL + - LapseAdvectionCoeff*(beta3L*J23L*PDupwindNthAnti2alpha + - J33L*PDupwindNthSymm3alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0); - - CCTK_REAL theta = fmin(1,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius))); - - CCTK_REAL B1L = IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - J11L*ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta1 + - PDupwindNthSymm1beta1*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta1L*J21L*PDupwindNthAnti2beta1 + - J11L*PDupwindNthSymm1beta1*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta1L*J31L*PDupwindNthAnti3beta1 + - J11L*PDupwindNthSymm1beta1*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - J21L*ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti2beta1 + - PDupwindNthSymm2beta1*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta1L*J11L*PDupwindNthAnti1beta1 + - J21L*PDupwindNthSymm2beta1*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta1L*J31L*PDupwindNthAnti3beta1 + - J21L*PDupwindNthSymm2beta1*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - J31L*ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti3beta1 + - PDupwindNthSymm3beta1*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta1L*J11L*PDupwindNthAnti1beta1 + - J31L*PDupwindNthSymm3beta1*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta1L*J21L*PDupwindNthAnti2beta1 + - J31L*PDupwindNthSymm3beta1*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - J12L*ShiftAdvectionCoeff*(beta2L*PDupwindNthAnti1beta1 + - PDupwindNthSymm1beta1*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta2L*J22L*PDupwindNthAnti2beta1 + - J12L*PDupwindNthSymm1beta1*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta2L*J32L*PDupwindNthAnti3beta1 + - J12L*PDupwindNthSymm1beta1*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - J22L*ShiftAdvectionCoeff*(beta2L*PDupwindNthAnti2beta1 + - PDupwindNthSymm2beta1*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta2L*J12L*PDupwindNthAnti1beta1 + - J22L*PDupwindNthSymm2beta1*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta2L*J32L*PDupwindNthAnti3beta1 + - J22L*PDupwindNthSymm2beta1*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - J32L*ShiftAdvectionCoeff*(beta2L*PDupwindNthAnti3beta1 + - PDupwindNthSymm3beta1*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta2L*J12L*PDupwindNthAnti1beta1 + - J32L*PDupwindNthSymm3beta1*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta2L*J22L*PDupwindNthAnti2beta1 + - J32L*PDupwindNthSymm3beta1*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - J13L*ShiftAdvectionCoeff*(beta3L*PDupwindNthAnti1beta1 + - PDupwindNthSymm1beta1*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta3L*J23L*PDupwindNthAnti2beta1 + - J13L*PDupwindNthSymm1beta1*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta3L*J33L*PDupwindNthAnti3beta1 + - J13L*PDupwindNthSymm1beta1*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - J23L*ShiftAdvectionCoeff*(beta3L*PDupwindNthAnti2beta1 + - PDupwindNthSymm2beta1*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta3L*J13L*PDupwindNthAnti1beta1 + - J23L*PDupwindNthSymm2beta1*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta3L*J33L*PDupwindNthAnti3beta1 + - J23L*PDupwindNthSymm2beta1*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - J33L*ShiftAdvectionCoeff*(beta3L*PDupwindNthAnti3beta1 + - PDupwindNthSymm3beta1*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta3L*J13L*PDupwindNthAnti1beta1 + - J33L*PDupwindNthSymm3beta1*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - - ShiftAdvectionCoeff*(beta3L*J23L*PDupwindNthAnti2beta1 + - J33L*PDupwindNthSymm3beta1*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0); - - CCTK_REAL B2L = IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - J11L*ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta2 + - PDupwindNthSymm1beta2*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta1L*J21L*PDupwindNthAnti2beta2 + - J11L*PDupwindNthSymm1beta2*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta1L*J31L*PDupwindNthAnti3beta2 + - J11L*PDupwindNthSymm1beta2*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - J21L*ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti2beta2 + - PDupwindNthSymm2beta2*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta1L*J11L*PDupwindNthAnti1beta2 + - J21L*PDupwindNthSymm2beta2*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta1L*J31L*PDupwindNthAnti3beta2 + - J21L*PDupwindNthSymm2beta2*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - J31L*ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti3beta2 + - PDupwindNthSymm3beta2*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta1L*J11L*PDupwindNthAnti1beta2 + - J31L*PDupwindNthSymm3beta2*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta1L*J21L*PDupwindNthAnti2beta2 + - J31L*PDupwindNthSymm3beta2*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - J12L*ShiftAdvectionCoeff*(beta2L*PDupwindNthAnti1beta2 + - PDupwindNthSymm1beta2*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta2L*J22L*PDupwindNthAnti2beta2 + - J12L*PDupwindNthSymm1beta2*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta2L*J32L*PDupwindNthAnti3beta2 + - J12L*PDupwindNthSymm1beta2*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - J22L*ShiftAdvectionCoeff*(beta2L*PDupwindNthAnti2beta2 + - PDupwindNthSymm2beta2*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta2L*J12L*PDupwindNthAnti1beta2 + - J22L*PDupwindNthSymm2beta2*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta2L*J32L*PDupwindNthAnti3beta2 + - J22L*PDupwindNthSymm2beta2*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - J32L*ShiftAdvectionCoeff*(beta2L*PDupwindNthAnti3beta2 + - PDupwindNthSymm3beta2*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta2L*J12L*PDupwindNthAnti1beta2 + - J32L*PDupwindNthSymm3beta2*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta2L*J22L*PDupwindNthAnti2beta2 + - J32L*PDupwindNthSymm3beta2*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - J13L*ShiftAdvectionCoeff*(beta3L*PDupwindNthAnti1beta2 + - PDupwindNthSymm1beta2*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta3L*J23L*PDupwindNthAnti2beta2 + - J13L*PDupwindNthSymm1beta2*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta3L*J33L*PDupwindNthAnti3beta2 + - J13L*PDupwindNthSymm1beta2*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - J23L*ShiftAdvectionCoeff*(beta3L*PDupwindNthAnti2beta2 + - PDupwindNthSymm2beta2*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta3L*J13L*PDupwindNthAnti1beta2 + - J23L*PDupwindNthSymm2beta2*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta3L*J33L*PDupwindNthAnti3beta2 + - J23L*PDupwindNthSymm2beta2*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - J33L*ShiftAdvectionCoeff*(beta3L*PDupwindNthAnti3beta2 + - PDupwindNthSymm3beta2*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta3L*J13L*PDupwindNthAnti1beta2 + - J33L*PDupwindNthSymm3beta2*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - - ShiftAdvectionCoeff*(beta3L*J23L*PDupwindNthAnti2beta2 + - J33L*PDupwindNthSymm3beta2*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0); - - CCTK_REAL B3L = IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - J11L*ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta3 + - PDupwindNthSymm1beta3*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta1L*J21L*PDupwindNthAnti2beta3 + - J11L*PDupwindNthSymm1beta3*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta1L*J31L*PDupwindNthAnti3beta3 + - J11L*PDupwindNthSymm1beta3*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - J21L*ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti2beta3 + - PDupwindNthSymm2beta3*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta1L*J11L*PDupwindNthAnti1beta3 + - J21L*PDupwindNthSymm2beta3*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta1L*J31L*PDupwindNthAnti3beta3 + - J21L*PDupwindNthSymm2beta3*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - J31L*ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti3beta3 + - PDupwindNthSymm3beta3*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta1L*J11L*PDupwindNthAnti1beta3 + - J31L*PDupwindNthSymm3beta3*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta1L*J21L*PDupwindNthAnti2beta3 + - J31L*PDupwindNthSymm3beta3*Abs(beta1L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - J12L*ShiftAdvectionCoeff*(beta2L*PDupwindNthAnti1beta3 + - PDupwindNthSymm1beta3*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta2L*J22L*PDupwindNthAnti2beta3 + - J12L*PDupwindNthSymm1beta3*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta2L*J32L*PDupwindNthAnti3beta3 + - J12L*PDupwindNthSymm1beta3*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - J22L*ShiftAdvectionCoeff*(beta2L*PDupwindNthAnti2beta3 + - PDupwindNthSymm2beta3*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta2L*J12L*PDupwindNthAnti1beta3 + - J22L*PDupwindNthSymm2beta3*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta2L*J32L*PDupwindNthAnti3beta3 + - J22L*PDupwindNthSymm2beta3*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - J32L*ShiftAdvectionCoeff*(beta2L*PDupwindNthAnti3beta3 + - PDupwindNthSymm3beta3*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta2L*J12L*PDupwindNthAnti1beta3 + - J32L*PDupwindNthSymm3beta3*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta2L*J22L*PDupwindNthAnti2beta3 + - J32L*PDupwindNthSymm3beta3*Abs(beta2L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - J13L*ShiftAdvectionCoeff*(beta3L*PDupwindNthAnti1beta3 + - PDupwindNthSymm1beta3*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta3L*J23L*PDupwindNthAnti2beta3 + - J13L*PDupwindNthSymm1beta3*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta3L*J33L*PDupwindNthAnti3beta3 + - J13L*PDupwindNthSymm1beta3*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - J23L*ShiftAdvectionCoeff*(beta3L*PDupwindNthAnti2beta3 + - PDupwindNthSymm2beta3*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta3L*J13L*PDupwindNthAnti1beta3 + - J23L*PDupwindNthSymm2beta3*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta3L*J33L*PDupwindNthAnti3beta3 + - J23L*PDupwindNthSymm2beta3*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - J33L*ShiftAdvectionCoeff*(beta3L*PDupwindNthAnti3beta3 + - PDupwindNthSymm3beta3*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta3L*J13L*PDupwindNthAnti1beta3 + - J33L*PDupwindNthSymm3beta3*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - - ShiftAdvectionCoeff*(beta3L*J23L*PDupwindNthAnti2beta3 + - J33L*PDupwindNthSymm3beta3*Abs(beta3L)))*INV(ShiftGammaCoeff)*INV(theta),0); - - - /* Copy local copies back to grid functions */ - A[index] = AL; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_convertFromADMBaseGamma); -} - -void ML_BSSN_MP_O8_convertFromADMBaseGamma(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_O8_convertFromADMBaseGamma_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBase.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBase.c deleted file mode 100644 index 271bdbd..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBase.c +++ /dev/null @@ -1,191 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_convertToADMBase_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_convertToADMBase_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_convertToADMBase_calc_every != ML_BSSN_MP_O8_convertToADMBase_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_convertToADMBase, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - CCTK_REAL alphaL = alpha[index]; - CCTK_REAL At11L = At11[index]; - CCTK_REAL At12L = At12[index]; - CCTK_REAL At13L = At13[index]; - CCTK_REAL At22L = At22[index]; - CCTK_REAL At23L = At23[index]; - CCTK_REAL At33L = At33[index]; - CCTK_REAL beta1L = beta1[index]; - CCTK_REAL beta2L = beta2[index]; - CCTK_REAL beta3L = beta3[index]; - CCTK_REAL gt11L = gt11[index]; - CCTK_REAL gt12L = gt12[index]; - CCTK_REAL gt13L = gt13[index]; - CCTK_REAL gt22L = gt22[index]; - CCTK_REAL gt23L = gt23[index]; - CCTK_REAL gt33L = gt33[index]; - CCTK_REAL gxxL = gxx[index]; - CCTK_REAL gxyL = gxy[index]; - CCTK_REAL gxzL = gxz[index]; - CCTK_REAL gyyL = gyy[index]; - CCTK_REAL gyzL = gyz[index]; - CCTK_REAL gzzL = gzz[index]; - CCTK_REAL phiL = phi[index]; - CCTK_REAL trKL = trK[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - gxxL = e4phi*gt11L; - - gxyL = e4phi*gt12L; - - gxzL = e4phi*gt13L; - - gyyL = e4phi*gt22L; - - gyzL = e4phi*gt23L; - - gzzL = e4phi*gt33L; - - CCTK_REAL kxxL = At11L*e4phi + gxxL*kthird*trKL; - - CCTK_REAL kxyL = At12L*e4phi + gxyL*kthird*trKL; - - CCTK_REAL kxzL = At13L*e4phi + gxzL*kthird*trKL; - - CCTK_REAL kyyL = At22L*e4phi + gyyL*kthird*trKL; - - CCTK_REAL kyzL = At23L*e4phi + gyzL*kthird*trKL; - - CCTK_REAL kzzL = At33L*e4phi + gzzL*kthird*trKL; - - CCTK_REAL alpL = alphaL; - - CCTK_REAL betaxL = beta1L; - - CCTK_REAL betayL = beta2L; - - CCTK_REAL betazL = beta3L; - - - /* Copy local copies back to grid functions */ - alp[index] = alpL; - betax[index] = betaxL; - betay[index] = betayL; - betaz[index] = betazL; - gxx[index] = gxxL; - gxy[index] = gxyL; - gxz[index] = gxzL; - gyy[index] = gyyL; - gyz[index] = gyzL; - gzz[index] = gzzL; - kxx[index] = kxxL; - kxy[index] = kxyL; - kxz[index] = kxzL; - kyy[index] = kyyL; - kyz[index] = kyzL; - kzz[index] = kzzL; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_convertToADMBase); -} - -void ML_BSSN_MP_O8_convertToADMBase(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_MP_O8_convertToADMBase_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBaseDtLapseShift.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBaseDtLapseShift.c deleted file mode 100644 index 14e2a27..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBaseDtLapseShift.c +++ /dev/null @@ -1,260 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_convertToADMBaseDtLapseShift_SelectBCs(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ADMBase::dtlapse","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ADMBase::dtlapse."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ADMBase::dtshift","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ADMBase::dtshift."); - return; -} - -void ML_BSSN_MP_O8_convertToADMBaseDtLapseShift_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_convertToADMBaseDtLapseShift_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_convertToADMBaseDtLapseShift_calc_every != ML_BSSN_MP_O8_convertToADMBaseDtLapseShift_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_convertToADMBaseDtLapseShift, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDupwindNthAnti1alpha = INITVALUE; - // CCTK_REAL PDupwindNthSymm1alpha = INITVALUE; - // CCTK_REAL PDupwindNthAnti2alpha = INITVALUE; - // CCTK_REAL PDupwindNthSymm2alpha = INITVALUE; - // CCTK_REAL PDupwindNthAnti3alpha = INITVALUE; - // CCTK_REAL PDupwindNthSymm3alpha = INITVALUE; - // CCTK_REAL PDupwindNthAnti1beta1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1beta1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2beta1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2beta1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3beta1 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3beta1 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1beta2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1beta2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2beta2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2beta2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3beta2 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3beta2 = INITVALUE; - // CCTK_REAL PDupwindNthAnti1beta3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm1beta3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti2beta3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm2beta3 = INITVALUE; - // CCTK_REAL PDupwindNthAnti3beta3 = INITVALUE; - // CCTK_REAL PDupwindNthSymm3beta3 = INITVALUE; - - /* Assign local copies of grid functions */ - CCTK_REAL AL = A[index]; - CCTK_REAL alphaL = alpha[index]; - CCTK_REAL B1L = B1[index]; - CCTK_REAL B2L = B2[index]; - CCTK_REAL B3L = B3[index]; - CCTK_REAL beta1L = beta1[index]; - CCTK_REAL beta2L = beta2[index]; - CCTK_REAL beta3L = beta3[index]; - CCTK_REAL J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[index]; - CCTK_REAL rL = r[index]; - CCTK_REAL trKL = trK[index]; - CCTK_REAL Xt1L = Xt1[index]; - CCTK_REAL Xt2L = Xt2[index]; - CCTK_REAL Xt3L = Xt3[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - CCTK_REAL const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); - CCTK_REAL const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); - CCTK_REAL const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); - CCTK_REAL const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); - CCTK_REAL const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); - CCTK_REAL const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); - CCTK_REAL const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); - CCTK_REAL const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); - CCTK_REAL const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); - CCTK_REAL const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); - CCTK_REAL const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); - CCTK_REAL const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); - CCTK_REAL const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); - CCTK_REAL const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); - CCTK_REAL const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); - CCTK_REAL const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); - CCTK_REAL const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); - CCTK_REAL const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); - CCTK_REAL const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); - CCTK_REAL const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); - CCTK_REAL const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); - CCTK_REAL const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); - CCTK_REAL const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); - CCTK_REAL const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); - - CCTK_REAL theta = fmin(1,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius))); - - CCTK_REAL dtalpL = LapseAdvectionCoeff*((beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1alpha + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2alpha + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3alpha + (J11L*PDupwindNthSymm1alpha + - J21L*PDupwindNthSymm2alpha + J31L*PDupwindNthSymm3alpha)*Abs(beta1L) + - (J12L*PDupwindNthSymm1alpha + J22L*PDupwindNthSymm2alpha + - J32L*PDupwindNthSymm3alpha)*Abs(beta2L) + (J13L*PDupwindNthSymm1alpha + - J23L*PDupwindNthSymm2alpha + J33L*PDupwindNthSymm3alpha)*Abs(beta3L)) - - harmonicF*(LapseACoeff*(AL - trKL) + trKL)*pow(alphaL,harmonicN); - - CCTK_REAL dtbetaxL = ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 - + ShiftBCoeff) + ShiftBCoeff*(B1L - Xt1L) + Xt1L) + - ShiftAdvectionCoeff*((beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1beta1 + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2beta1 + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3beta1 + (J11L*PDupwindNthSymm1beta1 + - J21L*PDupwindNthSymm2beta1 + J31L*PDupwindNthSymm3beta1)*Abs(beta1L) + - (J12L*PDupwindNthSymm1beta1 + J22L*PDupwindNthSymm2beta1 + - J32L*PDupwindNthSymm3beta1)*Abs(beta2L) + (J13L*PDupwindNthSymm1beta1 + - J23L*PDupwindNthSymm2beta1 + J33L*PDupwindNthSymm3beta1)*Abs(beta3L)); - - CCTK_REAL dtbetayL = ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 - + ShiftBCoeff) + ShiftBCoeff*(B2L - Xt2L) + Xt2L) + - ShiftAdvectionCoeff*((beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1beta2 + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2beta2 + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3beta2 + (J11L*PDupwindNthSymm1beta2 + - J21L*PDupwindNthSymm2beta2 + J31L*PDupwindNthSymm3beta2)*Abs(beta1L) + - (J12L*PDupwindNthSymm1beta2 + J22L*PDupwindNthSymm2beta2 + - J32L*PDupwindNthSymm3beta2)*Abs(beta2L) + (J13L*PDupwindNthSymm1beta2 + - J23L*PDupwindNthSymm2beta2 + J33L*PDupwindNthSymm3beta2)*Abs(beta3L)); - - CCTK_REAL dtbetazL = ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 - + ShiftBCoeff) + ShiftBCoeff*(B3L - Xt3L) + Xt3L) + - ShiftAdvectionCoeff*((beta1L*J11L + beta2L*J12L + - beta3L*J13L)*PDupwindNthAnti1beta3 + (beta1L*J21L + beta2L*J22L + - beta3L*J23L)*PDupwindNthAnti2beta3 + (beta1L*J31L + beta2L*J32L + - beta3L*J33L)*PDupwindNthAnti3beta3 + (J11L*PDupwindNthSymm1beta3 + - J21L*PDupwindNthSymm2beta3 + J31L*PDupwindNthSymm3beta3)*Abs(beta1L) + - (J12L*PDupwindNthSymm1beta3 + J22L*PDupwindNthSymm2beta3 + - J32L*PDupwindNthSymm3beta3)*Abs(beta2L) + (J13L*PDupwindNthSymm1beta3 + - J23L*PDupwindNthSymm2beta3 + J33L*PDupwindNthSymm3beta3)*Abs(beta3L)); - - - /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_convertToADMBaseDtLapseShift); -} - -void ML_BSSN_MP_O8_convertToADMBaseDtLapseShift(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_O8_convertToADMBaseDtLapseShift_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary.c deleted file mode 100644 index 17dbb0d..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary.c +++ /dev/null @@ -1,166 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary_SelectBCs(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ADMBase::dtlapse","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ADMBase::dtlapse."); - ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ADMBase::dtshift","flat"); - if (ierr < 0) - CCTK_WARN(1, "Failed to register flat BC for ADMBase::dtshift."); - return; -} - -void ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary_calc_every != ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - CCTK_REAL AL = A[index]; - CCTK_REAL alphaL = alpha[index]; - CCTK_REAL B1L = B1[index]; - CCTK_REAL B2L = B2[index]; - CCTK_REAL B3L = B3[index]; - CCTK_REAL beta1L = beta1[index]; - CCTK_REAL beta2L = beta2[index]; - CCTK_REAL beta3L = beta3[index]; - CCTK_REAL rL = r[index]; - CCTK_REAL trKL = trK[index]; - CCTK_REAL Xt1L = Xt1[index]; - CCTK_REAL Xt2L = Xt2[index]; - CCTK_REAL Xt3L = Xt3[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); - - CCTK_REAL theta = fmin(1,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius))); - - CCTK_REAL dtalpL = -(harmonicF*(LapseACoeff*(AL - trKL) + - trKL)*pow(alphaL,harmonicN)); - - CCTK_REAL dtbetaxL = ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 - + ShiftBCoeff) + ShiftBCoeff*(B1L - Xt1L) + Xt1L); - - CCTK_REAL dtbetayL = ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 - + ShiftBCoeff) + ShiftBCoeff*(B2L - Xt2L) + Xt2L); - - CCTK_REAL dtbetazL = ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 - + ShiftBCoeff) + ShiftBCoeff*(B3L - Xt3L) + Xt3L); - - - /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary); -} - -void ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverBoundaryWithGhosts(cctkGH, &ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift.c deleted file mode 100644 index 42ffbbc..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift.c +++ /dev/null @@ -1,151 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift_calc_every != ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - CCTK_REAL AL = A[index]; - CCTK_REAL alphaL = alpha[index]; - CCTK_REAL B1L = B1[index]; - CCTK_REAL B2L = B2[index]; - CCTK_REAL B3L = B3[index]; - CCTK_REAL beta1L = beta1[index]; - CCTK_REAL beta2L = beta2[index]; - CCTK_REAL beta3L = beta3[index]; - CCTK_REAL rL = r[index]; - CCTK_REAL trKL = trK[index]; - CCTK_REAL Xt1L = Xt1[index]; - CCTK_REAL Xt2L = Xt2[index]; - CCTK_REAL Xt3L = Xt3[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); - - CCTK_REAL theta = fmin(1,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius))); - - CCTK_REAL dtalpL = -(harmonicF*(LapseACoeff*(AL - trKL) + - trKL)*pow(alphaL,harmonicN)); - - CCTK_REAL dtbetaxL = ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 - + ShiftBCoeff) + ShiftBCoeff*(B1L - Xt1L) + Xt1L); - - CCTK_REAL dtbetayL = ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 - + ShiftBCoeff) + ShiftBCoeff*(B2L - Xt2L) + Xt2L); - - CCTK_REAL dtbetazL = ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 - + ShiftBCoeff) + ShiftBCoeff*(B3L - Xt3L) + Xt3L); - - - /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift); -} - -void ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift_Body); -} diff --git a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_enforce.c b/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_enforce.c deleted file mode 100644 index 55fe661..0000000 --- a/ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_enforce.c +++ /dev/null @@ -1,168 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include -#include -#include -#include -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_MP_O8_enforce_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_enforce_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_O8_enforce_calc_every != ML_BSSN_MP_O8_enforce_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o1024dx = INV(dx)/1024.; - CCTK_REAL const p1o1024dy = INV(dy)/1024.; - CCTK_REAL const p1o1024dz = INV(dz)/1024.; - CCTK_REAL const p1o1680dx = INV(dx)/1680.; - CCTK_REAL const p1o1680dy = INV(dy)/1680.; - CCTK_REAL const p1o1680dz = INV(dz)/1680.; - CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o560dx = INV(dx)/560.; - CCTK_REAL const p1o560dy = INV(dy)/560.; - CCTK_REAL const p1o560dz = INV(dz)/560.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_MP_O8_enforce, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - CCTK_REAL alphaL = alpha[index]; - CCTK_REAL At11L = At11[index]; - CCTK_REAL At12L = At12[index]; - CCTK_REAL At13L = At13[index]; - CCTK_REAL At22L = At22[index]; - CCTK_REAL At23L = At23[index]; - CCTK_REAL At33L = At33[index]; - CCTK_REAL gt11L = gt11[index]; - CCTK_REAL gt12L = gt12[index]; - CCTK_REAL gt13L = gt13[index]; - CCTK_REAL gt22L = gt22[index]; - CCTK_REAL gt23L = gt23[index]; - CCTK_REAL gt33L = gt33[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL detgt = 1; - - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL gtu12 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL gtu13 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL gtu23 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - CCTK_REAL trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu12 + - At13L*gtu13 + At23L*gtu23) + At33L*gtu33; - - At11L = At11L - gt11L*kthird*trAt; - - At12L = At12L - gt12L*kthird*trAt; - - At13L = At13L - gt13L*kthird*trAt; - - At22L = At22L - gt22L*kthird*trAt; - - At23L = At23L - gt23L*kthird*trAt; - - At33L = At33L - gt33L*kthird*trAt; - - alphaL = fmax(alphaL,MinimumLapse); - - - /* Copy local copies back to grid functions */ - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - } - LC_ENDLOOP3 (ML_BSSN_MP_O8_enforce); -} - -void ML_BSSN_MP_O8_enforce(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_MP_O8_enforce_Body); -} diff --git a/ML_BSSN_MP_O8/src/RegisterMoL.c b/ML_BSSN_MP_O8/src/RegisterMoL.c deleted file mode 100644 index abe72b2..0000000 --- a/ML_BSSN_MP_O8/src/RegisterMoL.c +++ /dev/null @@ -1,41 +0,0 @@ -/* File produced by Kranc */ - -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" - -void ML_BSSN_MP_O8_RegisterVars(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - CCTK_INT ierr = 0; - - /* Register all the evolved grid functions with MoL */ - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::At11"), CCTK_VarIndex("ML_BSSN_MP_O8::At11rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::At12"), CCTK_VarIndex("ML_BSSN_MP_O8::At12rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::At13"), CCTK_VarIndex("ML_BSSN_MP_O8::At13rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::At22"), CCTK_VarIndex("ML_BSSN_MP_O8::At22rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::At23"), CCTK_VarIndex("ML_BSSN_MP_O8::At23rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::At33"), CCTK_VarIndex("ML_BSSN_MP_O8::At33rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::A"), CCTK_VarIndex("ML_BSSN_MP_O8::Arhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::B1"), CCTK_VarIndex("ML_BSSN_MP_O8::B1rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::B2"), CCTK_VarIndex("ML_BSSN_MP_O8::B2rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::B3"), CCTK_VarIndex("ML_BSSN_MP_O8::B3rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::Xt1"), CCTK_VarIndex("ML_BSSN_MP_O8::Xt1rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::Xt2"), CCTK_VarIndex("ML_BSSN_MP_O8::Xt2rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::Xt3"), CCTK_VarIndex("ML_BSSN_MP_O8::Xt3rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::alpha"), CCTK_VarIndex("ML_BSSN_MP_O8::alpharhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::phi"), CCTK_VarIndex("ML_BSSN_MP_O8::phirhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::gt11"), CCTK_VarIndex("ML_BSSN_MP_O8::gt11rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::gt12"), CCTK_VarIndex("ML_BSSN_MP_O8::gt12rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::gt13"), CCTK_VarIndex("ML_BSSN_MP_O8::gt13rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::gt22"), CCTK_VarIndex("ML_BSSN_MP_O8::gt22rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::gt23"), CCTK_VarIndex("ML_BSSN_MP_O8::gt23rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::gt33"), CCTK_VarIndex("ML_BSSN_MP_O8::gt33rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::beta1"), CCTK_VarIndex("ML_BSSN_MP_O8::beta1rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::beta2"), CCTK_VarIndex("ML_BSSN_MP_O8::beta2rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::beta3"), CCTK_VarIndex("ML_BSSN_MP_O8::beta3rhs")); - ierr += MoLRegisterEvolved(CCTK_VarIndex("ML_BSSN_MP_O8::trK"), CCTK_VarIndex("ML_BSSN_MP_O8::trKrhs")); - return; -} diff --git a/ML_BSSN_MP_O8/src/RegisterSymmetries.c b/ML_BSSN_MP_O8/src/RegisterSymmetries.c deleted file mode 100644 index e99b72b..0000000 --- a/ML_BSSN_MP_O8/src/RegisterSymmetries.c +++ /dev/null @@ -1,189 +0,0 @@ -/* File produced by Kranc */ - -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "Symmetry.h" - -void ML_BSSN_MP_O8_RegisterSymmetries(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* array holding symmetry definitions */ - CCTK_INT sym[3]; - - - /* Register symmetries of grid functions */ - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::At11"); - - sym[0] = -1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::At12"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::At13"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::At22"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::At23"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::At33"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::A"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::B1"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::B2"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::B3"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::Xt1"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::Xt2"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::Xt3"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::alpha"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::phi"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::gt11"); - - sym[0] = -1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::gt12"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::gt13"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::gt22"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::gt23"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::gt33"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::beta1"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::beta2"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::beta3"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::trK"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::cS"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::cXt1"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::cXt2"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::cXt3"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::cA"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::H"); - - sym[0] = -1; - sym[1] = 1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::M1"); - - sym[0] = 1; - sym[1] = -1; - sym[2] = 1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::M2"); - - sym[0] = 1; - sym[1] = 1; - sym[2] = -1; - SetCartSymVN(cctkGH, sym, "ML_BSSN_MP_O8::M3"); - -} diff --git a/ML_BSSN_MP_O8/src/Startup.c b/ML_BSSN_MP_O8/src/Startup.c deleted file mode 100644 index 863ece6..0000000 --- a/ML_BSSN_MP_O8/src/Startup.c +++ /dev/null @@ -1,10 +0,0 @@ -/* File produced by Kranc */ - -#include "cctk.h" - -int ML_BSSN_MP_O8_Startup(void) -{ - const char * banner = "ML_BSSN_MP_O8"; - CCTK_RegisterBanner(banner); - return 0; -} diff --git a/ML_BSSN_MP_O8/src/make.code.defn b/ML_BSSN_MP_O8/src/make.code.defn index c413312..b78a0fe 100644 --- a/ML_BSSN_MP_O8/src/make.code.defn +++ b/ML_BSSN_MP_O8/src/make.code.defn @@ -1,3 +1,3 @@ # File produced by Kranc -SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_MP_O8_Minkowski.c ML_BSSN_MP_O8_convertFromADMBase.c ML_BSSN_MP_O8_convertFromADMBaseGamma.c ML_BSSN_MP_O8_RHS1.c ML_BSSN_MP_O8_RHS2.c ML_BSSN_MP_O8_RHSStaticBoundary.c ML_BSSN_MP_O8_enforce.c ML_BSSN_MP_O8_boundary.c ML_BSSN_MP_O8_convertToADMBase.c ML_BSSN_MP_O8_convertToADMBaseDtLapseShift.c ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift.c ML_BSSN_MP_O8_constraints1.c ML_BSSN_MP_O8_constraints2.c Boundaries.c +SRCS = Startup.cc RegisterMoL.cc RegisterSymmetries.cc ML_BSSN_MP_O8_Minkowski.cc ML_BSSN_MP_O8_convertFromADMBase.cc ML_BSSN_MP_O8_convertFromADMBaseGamma.cc ML_BSSN_MP_O8_RHS1.cc ML_BSSN_MP_O8_RHS2.cc ML_BSSN_MP_O8_RHSStaticBoundary.cc ML_BSSN_MP_O8_enforce.cc ML_BSSN_MP_O8_boundary.cc ML_BSSN_MP_O8_convertToADMBase.cc ML_BSSN_MP_O8_convertToADMBaseDtLapseShift.cc ML_BSSN_MP_O8_convertToADMBaseDtLapseShiftBoundary.cc ML_BSSN_MP_O8_convertToADMBaseFakeDtLapseShift.cc ML_BSSN_MP_O8_constraints1.cc ML_BSSN_MP_O8_constraints2.cc Boundaries.cc -- cgit v1.2.3