/* 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_UPW_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_UPW_convertFromADMBase_Body"); } if (cctk_iteration % ML_BSSN_UPW_convertFromADMBase_calc_every != ML_BSSN_UPW_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 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_UPW_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_UPW_convertFromADMBase); } void ML_BSSN_UPW_convertFromADMBase(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_UPW_convertFromADMBase_Body); }