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-rw-r--r--ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.cc326
1 files changed, 326 insertions, 0 deletions
diff --git a/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.cc b/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.cc
new file mode 100644
index 0000000..a3981b0
--- /dev/null
+++ b/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.cc
@@ -0,0 +1,326 @@
+/* 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 QAD(x) (SQR(SQR(x)))
+#define INV(x) ((1.0) / (x))
+#define SQR(x) ((x) * (x))
+#define CUB(x) ((x) * (x) * (x))
+
+extern "C" void ML_BSSN_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::ML_dtlapse","flat");
+ if (ierr < 0)
+ CCTK_WARN(1, "Failed to register flat BC for ML_BSSN::ML_dtlapse.");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN::ML_dtshift","flat");
+ if (ierr < 0)
+ CCTK_WARN(1, "Failed to register flat BC for ML_BSSN::ML_dtshift.");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN::ML_Gamma","flat");
+ if (ierr < 0)
+ CCTK_WARN(1, "Failed to register flat BC for ML_BSSN::ML_Gamma.");
+ return;
+}
+
+static void ML_BSSN_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_convertFromADMBaseGamma_Body");
+ }
+
+ if (cctk_iteration % ML_BSSN_convertFromADMBaseGamma_calc_every != ML_BSSN_convertFromADMBaseGamma_calc_offset)
+ {
+ return;
+ }
+
+ const char *groups[] = {"ADMBase::dtlapse","ADMBase::dtshift","grid::coordinates","Grid::coordinates","ML_BSSN::ML_dtlapse","ML_BSSN::ML_dtshift","ML_BSSN::ML_Gamma","ML_BSSN::ML_lapse","ML_BSSN::ML_metric","ML_BSSN::ML_shift"};
+ GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_convertFromADMBaseGamma", 10, groups);
+
+ /* Include user-supplied include files */
+
+ /* Initialise finite differencing variables */
+ ptrdiff_t const di = 1;
+ ptrdiff_t const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0);
+ ptrdiff_t const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0);
+ CCTK_REAL const dx = ToReal(CCTK_DELTA_SPACE(0));
+ CCTK_REAL const dy = ToReal(CCTK_DELTA_SPACE(1));
+ CCTK_REAL const dz = ToReal(CCTK_DELTA_SPACE(2));
+ CCTK_REAL const dxi = INV(dx);
+ CCTK_REAL const dyi = INV(dy);
+ CCTK_REAL const dzi = INV(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 p1o12dx = 0.0833333333333333333333333333333*INV(dx);
+ CCTK_REAL const p1o12dy = 0.0833333333333333333333333333333*INV(dy);
+ CCTK_REAL const p1o12dz = 0.0833333333333333333333333333333*INV(dz);
+ CCTK_REAL const p1o144dxdy = 0.00694444444444444444444444444444*INV(dx)*INV(dy);
+ CCTK_REAL const p1o144dxdz = 0.00694444444444444444444444444444*INV(dx)*INV(dz);
+ CCTK_REAL const p1o144dydz = 0.00694444444444444444444444444444*INV(dy)*INV(dz);
+ CCTK_REAL const p1o24dx = 0.0416666666666666666666666666667*INV(dx);
+ CCTK_REAL const p1o24dy = 0.0416666666666666666666666666667*INV(dy);
+ CCTK_REAL const p1o24dz = 0.0416666666666666666666666666667*INV(dz);
+ CCTK_REAL const p1o64dx = 0.015625*INV(dx);
+ CCTK_REAL const p1o64dy = 0.015625*INV(dy);
+ CCTK_REAL const p1o64dz = 0.015625*INV(dz);
+ CCTK_REAL const p1odx = INV(dx);
+ CCTK_REAL const p1ody = INV(dy);
+ CCTK_REAL const p1odz = INV(dz);
+ CCTK_REAL const pm1o12dx2 = -0.0833333333333333333333333333333*INV(SQR(dx));
+ CCTK_REAL const pm1o12dy2 = -0.0833333333333333333333333333333*INV(SQR(dy));
+ CCTK_REAL const pm1o12dz2 = -0.0833333333333333333333333333333*INV(SQR(dz));
+
+ /* Loop over the grid points */
+ #pragma omp parallel
+ LC_LOOP3 (ML_BSSN_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])
+ {
+ ptrdiff_t const index = di*i + dj*j + dk*k;
+
+ /* 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 rL = r[index];
+
+ /* Include user supplied include files */
+
+ /* Precompute derivatives */
+ CCTK_REAL const PDupwindNthAnti1alpha = PDupwindNthAnti1(&alpha[index]);
+ CCTK_REAL const PDupwindNthSymm1alpha = PDupwindNthSymm1(&alpha[index]);
+ CCTK_REAL const PDupwindNthAnti2alpha = PDupwindNthAnti2(&alpha[index]);
+ CCTK_REAL const PDupwindNthSymm2alpha = PDupwindNthSymm2(&alpha[index]);
+ CCTK_REAL const PDupwindNthAnti3alpha = PDupwindNthAnti3(&alpha[index]);
+ CCTK_REAL const PDupwindNthSymm3alpha = PDupwindNthSymm3(&alpha[index]);
+ CCTK_REAL const PDupwindNthAnti1beta1 = PDupwindNthAnti1(&beta1[index]);
+ CCTK_REAL const PDupwindNthSymm1beta1 = PDupwindNthSymm1(&beta1[index]);
+ CCTK_REAL const PDupwindNthAnti2beta1 = PDupwindNthAnti2(&beta1[index]);
+ CCTK_REAL const PDupwindNthSymm2beta1 = PDupwindNthSymm2(&beta1[index]);
+ CCTK_REAL const PDupwindNthAnti3beta1 = PDupwindNthAnti3(&beta1[index]);
+ CCTK_REAL const PDupwindNthSymm3beta1 = PDupwindNthSymm3(&beta1[index]);
+ CCTK_REAL const PDupwindNthAnti1beta2 = PDupwindNthAnti1(&beta2[index]);
+ CCTK_REAL const PDupwindNthSymm1beta2 = PDupwindNthSymm1(&beta2[index]);
+ CCTK_REAL const PDupwindNthAnti2beta2 = PDupwindNthAnti2(&beta2[index]);
+ CCTK_REAL const PDupwindNthSymm2beta2 = PDupwindNthSymm2(&beta2[index]);
+ CCTK_REAL const PDupwindNthAnti3beta2 = PDupwindNthAnti3(&beta2[index]);
+ CCTK_REAL const PDupwindNthSymm3beta2 = PDupwindNthSymm3(&beta2[index]);
+ CCTK_REAL const PDupwindNthAnti1beta3 = PDupwindNthAnti1(&beta3[index]);
+ CCTK_REAL const PDupwindNthSymm1beta3 = PDupwindNthSymm1(&beta3[index]);
+ CCTK_REAL const PDupwindNthAnti2beta3 = PDupwindNthAnti2(&beta3[index]);
+ CCTK_REAL const PDupwindNthSymm2beta3 = PDupwindNthSymm2(&beta3[index]);
+ CCTK_REAL const PDupwindNthAnti3beta3 = PDupwindNthAnti3(&beta3[index]);
+ CCTK_REAL const PDupwindNthSymm3beta3 = PDupwindNthSymm3(&beta3[index]);
+ CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(&gt11[index]);
+ CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(&gt11[index]);
+ CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(&gt11[index]);
+ CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(&gt12[index]);
+ CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(&gt12[index]);
+ CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(&gt12[index]);
+ CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(&gt13[index]);
+ CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(&gt13[index]);
+ CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(&gt13[index]);
+ CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(&gt22[index]);
+ CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(&gt22[index]);
+ CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(&gt22[index]);
+ CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(&gt23[index]);
+ CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(&gt23[index]);
+ CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(&gt23[index]);
+ CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(&gt33[index]);
+ CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(&gt33[index]);
+ CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(&gt33[index]);
+
+ /* Calculate temporaries and grid functions */
+ ptrdiff_t dir1 = Sign(beta1L);
+
+ ptrdiff_t dir2 = Sign(beta2L);
+
+ ptrdiff_t 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 = 0.5*(gtu11*PDstandardNth1gt11 +
+ 2*(gtu12*PDstandardNth1gt12 + gtu13*PDstandardNth1gt13) -
+ gtu12*PDstandardNth2gt11 - gtu13*PDstandardNth3gt11);
+
+ CCTK_REAL Gt211 = 0.5*(gtu12*PDstandardNth1gt11 +
+ 2*(gtu22*PDstandardNth1gt12 + gtu23*PDstandardNth1gt13) -
+ gtu22*PDstandardNth2gt11 - gtu23*PDstandardNth3gt11);
+
+ CCTK_REAL Gt311 = 0.5*(gtu13*PDstandardNth1gt11 +
+ 2*(gtu23*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) -
+ gtu23*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11);
+
+ CCTK_REAL Gt112 = 0.5*(gtu12*PDstandardNth1gt22 +
+ gtu11*PDstandardNth2gt11 + gtu13*(PDstandardNth1gt23 +
+ PDstandardNth2gt13 - PDstandardNth3gt12));
+
+ CCTK_REAL Gt212 = 0.5*(gtu22*PDstandardNth1gt22 +
+ gtu12*PDstandardNth2gt11 + gtu23*(PDstandardNth1gt23 +
+ PDstandardNth2gt13 - PDstandardNth3gt12));
+
+ CCTK_REAL Gt312 = 0.5*(gtu23*PDstandardNth1gt22 +
+ gtu13*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 +
+ PDstandardNth2gt13 - PDstandardNth3gt12));
+
+ CCTK_REAL Gt113 = 0.5*(gtu13*PDstandardNth1gt33 +
+ gtu11*PDstandardNth3gt11 + gtu12*(PDstandardNth1gt23 -
+ PDstandardNth2gt13 + PDstandardNth3gt12));
+
+ CCTK_REAL Gt213 = 0.5*(gtu23*PDstandardNth1gt33 +
+ gtu12*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 -
+ PDstandardNth2gt13 + PDstandardNth3gt12));
+
+ CCTK_REAL Gt313 = 0.5*(gtu33*PDstandardNth1gt33 +
+ gtu13*PDstandardNth3gt11 + gtu23*(PDstandardNth1gt23 -
+ PDstandardNth2gt13 + PDstandardNth3gt12));
+
+ CCTK_REAL Gt122 = 0.5*(gtu11*(-PDstandardNth1gt22 +
+ 2*PDstandardNth2gt12) + gtu12*PDstandardNth2gt22 +
+ gtu13*(2*PDstandardNth2gt23 - PDstandardNth3gt22));
+
+ CCTK_REAL Gt222 = 0.5*(gtu12*(-PDstandardNth1gt22 +
+ 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 +
+ gtu23*(2*PDstandardNth2gt23 - PDstandardNth3gt22));
+
+ CCTK_REAL Gt322 = 0.5*(gtu13*(-PDstandardNth1gt22 +
+ 2*PDstandardNth2gt12) + gtu23*PDstandardNth2gt22 +
+ gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22));
+
+ CCTK_REAL Gt123 = 0.5*(gtu13*PDstandardNth2gt33 +
+ gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) +
+ gtu12*PDstandardNth3gt22);
+
+ CCTK_REAL Gt223 = 0.5*(gtu23*PDstandardNth2gt33 +
+ gtu12*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) +
+ gtu22*PDstandardNth3gt22);
+
+ CCTK_REAL Gt323 = 0.5*(gtu33*PDstandardNth2gt33 +
+ gtu13*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) +
+ gtu23*PDstandardNth3gt22);
+
+ CCTK_REAL Gt133 = 0.5*(gtu11*(-PDstandardNth1gt33 +
+ 2*PDstandardNth3gt13) + gtu12*(-PDstandardNth2gt33 +
+ 2*PDstandardNth3gt23) + gtu13*PDstandardNth3gt33);
+
+ CCTK_REAL Gt233 = 0.5*(gtu12*(-PDstandardNth1gt33 +
+ 2*PDstandardNth3gt13) + gtu22*(-PDstandardNth2gt33 +
+ 2*PDstandardNth3gt23) + gtu23*PDstandardNth3gt33);
+
+ CCTK_REAL Gt333 = 0.5*(gtu13*(-PDstandardNth1gt33 +
+ 2*PDstandardNth3gt13) + gtu23*(-PDstandardNth2gt33 +
+ 2*PDstandardNth3gt23) + gtu33*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(ToReal(LapseACoeff) !=
+ 0,-3*INV(ToReal(harmonicF))*pow(alphaL,-ToReal(harmonicN))*(9*dtalpL -
+ (beta1L*PDupwindNthAnti1alpha + beta2L*PDupwindNthAnti2alpha +
+ beta3L*PDupwindNthAnti3alpha + PDupwindNthSymm1alpha*Abs(beta1L) +
+ PDupwindNthSymm2alpha*Abs(beta2L) +
+ PDupwindNthSymm3alpha*Abs(beta3L))*ToReal(LapseAdvectionCoeff)),0);
+
+ CCTK_REAL theta = fmin(1,exp(1 -
+ rL*INV(ToReal(SpatialShiftGammaCoeffRadius))));
+
+ CCTK_REAL B1L = IfThen(ToReal(ShiftBCoeff)*ToReal(ShiftGammaCoeff) !=
+ 0,INV(theta)*INV(ToReal(ShiftGammaCoeff))*(27*dtbetaxL -
+ 3*(beta1L*PDupwindNthAnti1beta1 + beta2L*PDupwindNthAnti2beta1 +
+ beta3L*PDupwindNthAnti3beta1 + PDupwindNthSymm1beta1*Abs(beta1L) +
+ PDupwindNthSymm2beta1*Abs(beta2L) +
+ PDupwindNthSymm3beta1*Abs(beta3L))*ToReal(ShiftAdvectionCoeff)),0);
+
+ CCTK_REAL B2L = IfThen(ToReal(ShiftBCoeff)*ToReal(ShiftGammaCoeff) !=
+ 0,INV(theta)*INV(ToReal(ShiftGammaCoeff))*(27*dtbetayL -
+ 3*(beta1L*PDupwindNthAnti1beta2 + beta2L*PDupwindNthAnti2beta2 +
+ beta3L*PDupwindNthAnti3beta2 + PDupwindNthSymm1beta2*Abs(beta1L) +
+ PDupwindNthSymm2beta2*Abs(beta2L) +
+ PDupwindNthSymm3beta2*Abs(beta3L))*ToReal(ShiftAdvectionCoeff)),0);
+
+ CCTK_REAL B3L = IfThen(ToReal(ShiftBCoeff)*ToReal(ShiftGammaCoeff) !=
+ 0,INV(theta)*INV(ToReal(ShiftGammaCoeff))*(27*dtbetazL -
+ 3*(beta1L*PDupwindNthAnti1beta3 + beta2L*PDupwindNthAnti2beta3 +
+ beta3L*PDupwindNthAnti3beta3 + PDupwindNthSymm1beta3*Abs(beta1L) +
+ PDupwindNthSymm2beta3*Abs(beta2L) +
+ PDupwindNthSymm3beta3*Abs(beta3L))*ToReal(ShiftAdvectionCoeff)),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_convertFromADMBaseGamma);
+}
+
+extern "C" void ML_BSSN_convertFromADMBaseGamma(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_convertFromADMBaseGamma_Body);
+}