diff options
Diffstat (limited to 'ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_constraints2.c')
| -rw-r--r-- | ML_BSSN_MP_O8/src/ML_BSSN_MP_O8_constraints2.c | 522 |
1 files changed, 0 insertions, 522 deletions
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 <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#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); -} |