/* 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_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::ML_curvrhs","flat"); if (ierr < 0) CCTK_WARN(1, "Failed to register flat BC for ML_BSSN::ML_curvrhs."); return; } void ML_BSSN_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_RHS2_Body"); } if (cctk_iteration % ML_BSSN_RHS2_calc_every != ML_BSSN_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 p1o12dx = INV(dx)/12.; CCTK_REAL const p1o12dy = INV(dy)/12.; CCTK_REAL const p1o12dz = INV(dz)/12.; CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; CCTK_REAL const p1o24dx = INV(dx)/24.; CCTK_REAL const p1o24dy = INV(dy)/24.; CCTK_REAL const p1o24dz = INV(dz)/24.; CCTK_REAL const p1o64dx = INV(dx)/64.; CCTK_REAL const p1o64dy = INV(dy)/64.; CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; /* Loop over the grid points */ #pragma omp parallel LC_LOOP3 (ML_BSSN_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 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 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*PDstandardNth1gt11; CCTK_REAL Gtl112 = khalf*PDstandardNth2gt11; CCTK_REAL Gtl113 = khalf*PDstandardNth3gt11; CCTK_REAL Gtl122 = -(khalf*PDstandardNth1gt22) + PDstandardNth2gt12; CCTK_REAL Gtl123 = khalf*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12); CCTK_REAL Gtl133 = -(khalf*PDstandardNth1gt33) + PDstandardNth3gt13; CCTK_REAL Gtl211 = PDstandardNth1gt12 - khalf*PDstandardNth2gt11; CCTK_REAL Gtl212 = khalf*PDstandardNth1gt22; CCTK_REAL Gtl213 = khalf*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12); CCTK_REAL Gtl222 = khalf*PDstandardNth2gt22; CCTK_REAL Gtl223 = khalf*PDstandardNth3gt22; CCTK_REAL Gtl233 = -(khalf*PDstandardNth2gt33) + PDstandardNth3gt23; CCTK_REAL Gtl311 = PDstandardNth1gt13 - khalf*PDstandardNth3gt11; CCTK_REAL Gtl312 = khalf*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12); CCTK_REAL Gtl313 = khalf*PDstandardNth1gt33; CCTK_REAL Gtl322 = PDstandardNth2gt23 - khalf*PDstandardNth3gt22; CCTK_REAL Gtl323 = khalf*PDstandardNth2gt33; CCTK_REAL Gtl333 = khalf*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 + gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + gt13L*PDstandardNth1Xt3 + khalf*(-(gtu11*PDstandardNth11gt11) - 2*gtu12*PDstandardNth12gt11 - 2*gtu13*PDstandardNth13gt11 - gtu22*PDstandardNth22gt11 - 2*gtu23*PDstandardNth23gt11 - gtu33*PDstandardNth33gt11) + Gtl111*Xtn1 + Gtl112*Xtn2 + Gtl113*Xtn3; CCTK_REAL Rt12 = khalf*(4*(Gt211*Gtlu221 + Gt212*Gtlu222 + Gt213*Gtlu223) + 2*(Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + Gt111*Gtlu121 + Gt212*Gtlu121 + Gt112*Gtlu122 + Gt222*Gtlu122 + Gt113*Gtlu123 + Gt223*Gtlu123 + Gt312*Gtlu131 + Gt322*Gtlu132 + Gt323*Gtlu133 + Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + Gt311*Gtlu231 + Gt312*Gtlu232 + Gt313*Gtlu233 + Gt311*Gtlu321 + Gt312*Gtlu322 + Gt313*Gtlu323) - gtu11*PDstandardNth11gt12 - 2*gtu12*PDstandardNth12gt12 - 2*gtu13*PDstandardNth13gt12 + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - 2*gtu23*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt12 + Gtl112*Xtn1 + Gtl211*Xtn1 + Gtl122*Xtn2 + Gtl212*Xtn2 + Gtl123*Xtn3 + Gtl213*Xtn3); CCTK_REAL Rt13 = khalf*(2*(Gt113*Gtlu111 + Gt123*Gtlu112 + Gt133*Gtlu113 + Gt213*Gtlu121 + Gt223*Gtlu122 + Gt233*Gtlu123 + Gt111*Gtlu131 + Gt313*Gtlu131 + Gt112*Gtlu132 + Gt323*Gtlu132 + Gt113*Gtlu133 + Gt333*Gtlu133 + Gt211*Gtlu231 + Gt212*Gtlu232 + Gt213*Gtlu233 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + Gt211*Gtlu321 + Gt212*Gtlu322 + Gt213*Gtlu323) + 4*(Gt311*Gtlu331 + Gt312*Gtlu332 + Gt313*Gtlu333) - gtu11*PDstandardNth11gt13 - 2*gtu12*PDstandardNth12gt13 - 2*gtu13*PDstandardNth13gt13 + gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - 2*gtu23*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + gt13L*PDstandardNth3Xt3 + Gtl113*Xtn1 + Gtl311*Xtn1 + Gtl123*Xtn2 + Gtl312*Xtn2 + Gtl133*Xtn3 + Gtl313*Xtn3); 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 + gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + gt23L*PDstandardNth2Xt3 + khalf*(-(gtu11*PDstandardNth11gt22) - 2*gtu12*PDstandardNth12gt22 - 2*gtu13*PDstandardNth13gt22 - gtu22*PDstandardNth22gt22 - 2*gtu23*PDstandardNth23gt22 - gtu33*PDstandardNth33gt22) + Gtl212*Xtn1 + Gtl222*Xtn2 + Gtl223*Xtn3; CCTK_REAL Rt23 = khalf*(2*(Gt112*Gtlu131 + Gt122*Gtlu132 + Gt123*Gtlu133 + Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + Gt213*Gtlu221 + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt212*Gtlu231 + Gt313*Gtlu231 + Gt222*Gtlu232 + Gt323*Gtlu232 + Gt223*Gtlu233 + Gt333*Gtlu233 + Gt112*Gtlu311 + Gt122*Gtlu312 + Gt123*Gtlu313 + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323) + 4*(Gt312*Gtlu331 + Gt322*Gtlu332 + Gt323*Gtlu333) - gtu11*PDstandardNth11gt23 - 2*gtu12*PDstandardNth12gt23 - 2*gtu13*PDstandardNth13gt23 - gtu22*PDstandardNth22gt23 - 2*gtu23*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + gt23L*PDstandardNth3Xt3 + Gtl213*Xtn1 + Gtl312*Xtn1 + Gtl223*Xtn2 + Gtl322*Xtn2 + Gtl233*Xtn3 + Gtl323*Xtn3); 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) + khalf*(-(gtu11*PDstandardNth11gt33) - 2*gtu12*PDstandardNth12gt33 - 2*gtu13*PDstandardNth13gt33 - gtu22*PDstandardNth22gt33 - 2*gtu23*PDstandardNth23gt33 - gtu33*PDstandardNth33gt33) + gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + gt33L*PDstandardNth3Xt3 + Gtl313*Xtn1 + Gtl323*Xtn2 + Gtl333*Xtn3; CCTK_REAL fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); CCTK_REAL cdphi1 = fac1*PDstandardNth1phi; CCTK_REAL cdphi2 = fac1*PDstandardNth2phi; CCTK_REAL cdphi3 = fac1*PDstandardNth3phi; CCTK_REAL fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); CCTK_REAL cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); CCTK_REAL cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); CCTK_REAL cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); CCTK_REAL cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); CCTK_REAL cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); CCTK_REAL cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + Gt233*PDstandardNth2phi - PDstandardNth33phi + Gt333*PDstandardNth3phi)) + fac2*SQR(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 = -PDstandardNth11alpha + (4*cdphi1 + Gt111)*PDstandardNth1alpha + Gt211*PDstandardNth2alpha + Gt311*PDstandardNth3alpha + alphaL*R11; CCTK_REAL Ats12 = -PDstandardNth12alpha + (2*cdphi2 + Gt112)*PDstandardNth1alpha + (2*cdphi1 + Gt212)*PDstandardNth2alpha + Gt312*PDstandardNth3alpha + alphaL*R12; CCTK_REAL Ats13 = -PDstandardNth13alpha + (2*cdphi3 + Gt113)*PDstandardNth1alpha + Gt213*PDstandardNth2alpha + (2*cdphi1 + Gt313)*PDstandardNth3alpha + alphaL*R13; CCTK_REAL Ats22 = Gt122*PDstandardNth1alpha - PDstandardNth22alpha + (4*cdphi2 + Gt222)*PDstandardNth2alpha + Gt322*PDstandardNth3alpha + alphaL*R22; CCTK_REAL Ats23 = Gt123*PDstandardNth1alpha - PDstandardNth23alpha + (2*cdphi3 + Gt223)*PDstandardNth2alpha + (2*cdphi2 + Gt323)*PDstandardNth3alpha + alphaL*R23; CCTK_REAL Ats33 = Gt133*PDstandardNth1alpha + Gt233*PDstandardNth2alpha - PDstandardNth33alpha + (4*cdphi3 + Gt333)*PDstandardNth3alpha + alphaL*R33; CCTK_REAL trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu12 + Ats13*gu13 + Ats23*gu23) + Ats33*gu33; CCTK_REAL At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + epsdiss1*PDdissipationNth1At11 + epsdiss2*PDdissipationNth2At11 + epsdiss3*PDdissipationNth3At11 + 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + beta1L*PDupwindNthAnti1At11 + beta2L*PDupwindNthAnti2At11 + beta3L*PDupwindNthAnti3At11 + At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 - 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats11 - 0.3333333333333333333333333333333333333333*g11*trAts + alphaL*(-25.13274122871834590770114706623602307358*eTxxL + 8.377580409572781969233715688745341024526*g11*trS)) + PDupwindNthSymm1At11*Abs(beta1L) + PDupwindNthSymm2At11*Abs(beta2L) + PDupwindNthSymm3At11*Abs(beta3L); CCTK_REAL At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + epsdiss1*PDdissipationNth1At12 + epsdiss2*PDdissipationNth2At12 + epsdiss3*PDdissipationNth3At12 + At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3 + At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + beta1L*PDupwindNthAnti1At12 + beta2L*PDupwindNthAnti2At12 + beta3L*PDupwindNthAnti3At12 + At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth2beta2) - 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + alphaL*trKL) + em4phi*(Ats12 - 0.3333333333333333333333333333333333333333*g12*trAts + alphaL*(-25.13274122871834590770114706623602307358*eTxyL + 8.377580409572781969233715688745341024526*g12*trS)) + PDupwindNthSymm1At12*Abs(beta1L) + PDupwindNthSymm2At12*Abs(beta2L) + PDupwindNthSymm3At12*Abs(beta3L); CCTK_REAL At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + epsdiss1*PDdissipationNth1At13 + epsdiss2*PDdissipationNth2At13 + epsdiss3*PDdissipationNth3At13 + At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3 + At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + beta1L*PDupwindNthAnti1At13 + beta2L*PDupwindNthAnti2At13 + beta3L*PDupwindNthAnti3At13 + At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 + 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats13 - 0.3333333333333333333333333333333333333333*g13*trAts + alphaL*(-25.13274122871834590770114706623602307358*eTxzL + 8.377580409572781969233715688745341024526*g13*trS)) + PDupwindNthSymm1At13*Abs(beta1L) + PDupwindNthSymm2At13*Abs(beta2L) + PDupwindNthSymm3At13*Abs(beta3L); CCTK_REAL At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + epsdiss1*PDdissipationNth1At22 + epsdiss2*PDdissipationNth2At22 + epsdiss3*PDdissipationNth3At22 + 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) + beta1L*PDupwindNthAnti1At22 + beta2L*PDupwindNthAnti2At22 + beta3L*PDupwindNthAnti3At22 + At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 - 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats22 - 0.3333333333333333333333333333333333333333*g22*trAts + alphaL*(-25.13274122871834590770114706623602307358*eTyyL + 8.377580409572781969233715688745341024526*g22*trS)) + PDupwindNthSymm1At22*Abs(beta1L) + PDupwindNthSymm2At22*Abs(beta2L) + PDupwindNthSymm3At22*Abs(beta3L); CCTK_REAL At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + epsdiss1*PDdissipationNth1At23 + epsdiss2*PDdissipationNth2At23 + epsdiss3*PDdissipationNth3At23 + At13L*PDstandardNth2beta1 + At33L*PDstandardNth2beta3 + At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + beta1L*PDupwindNthAnti1At23 + beta2L*PDupwindNthAnti2At23 + beta3L*PDupwindNthAnti3At23 + At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 + 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats23 - 0.3333333333333333333333333333333333333333*g23*trAts + alphaL*(-25.13274122871834590770114706623602307358*eTyzL + 8.377580409572781969233715688745341024526*g23*trS)) + PDupwindNthSymm1At23*Abs(beta1L) + PDupwindNthSymm2At23*Abs(beta2L) + PDupwindNthSymm3At23*Abs(beta3L); CCTK_REAL At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + epsdiss1*PDdissipationNth1At33 + epsdiss2*PDdissipationNth2At33 + epsdiss3*PDdissipationNth3At33 + 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) + beta1L*PDupwindNthAnti1At33 + beta2L*PDupwindNthAnti2At33 + beta3L*PDupwindNthAnti3At33 + At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth2beta2) + 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + alphaL*trKL) + em4phi*(Ats33 - 0.3333333333333333333333333333333333333333*g33*trAts + alphaL*(-25.13274122871834590770114706623602307358*eTzzL + 8.377580409572781969233715688745341024526*g33*trS)) + PDupwindNthSymm1At33*Abs(beta1L) + PDupwindNthSymm2At33*Abs(beta2L) + 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_RHS2); } void ML_BSSN_RHS2(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_RHS2_Body); }