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-rw-r--r--src/RK2-MR-2_1.c358
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+ /*@@
+ @file RK2-MR-2_1.c
+ @date 2012-03-25
+ @author Christian Reisswig
+ @desc
+ A routine to perform RK2 2:1 MR evolution. Mostly copied from
+ genericRK.c
+ @enddesc
+ @version $Header$
+ @@*/
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+#include <stdio.h>
+#include "ExternalVariables.h"
+
+//#define MOLDEBUG
+
+static const char *rcsid = "$Header$";
+
+CCTK_FILEVERSION(CactusBase_MoL_RK2_MR_2_1_c);
+
+/********************************************************************
+ ********************* Local Data Types ***********************
+ ********************************************************************/
+
+/********************************************************************
+ ********************* Local Routine Prototypes *********************
+ ********************************************************************/
+
+/********************************************************************
+ ***************** Scheduled Routine Prototypes *********************
+ ********************************************************************/
+
+void MoL_RK2_MR_2_1_Add(CCTK_ARGUMENTS);
+
+/********************************************************************
+ ********************* Other Routine Prototypes *********************
+ ********************************************************************/
+
+/********************************************************************
+ ********************* Local Data *****************************
+ ********************************************************************/
+
+/********************************************************************
+ ********************* External Routines **********************
+ ********************************************************************/
+
+ /*@@
+ @routine MoL_RK2_MR_2_1_Add
+ @date
+ @author
+ @desc
+ Performs a single step of a RK2_MR_2_1 type time
+ integration.
+ @enddesc
+ @calls
+ @calledby
+ @history
+
+ @endhistory
+
+@@*/
+
+void MoL_RK2_MR_2_1_Add(CCTK_ARGUMENTS)
+{
+
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ CCTK_INT arraydim;
+
+ /* FIXME */
+
+#ifdef MOLDOESCOMPLEX
+
+CCTK_WARN(0, "not implemented");
+ CCTK_COMPLEX Complex_alpha, Complex_beta, Complex_Delta_Time;
+ CCTK_COMPLEX * restrict OldComplexVar;
+ CCTK_COMPLEX * restrict UpdateComplexVar;
+ CCTK_COMPLEX const * restrict RHSComplexVar;
+ CCTK_COMPLEX * restrict ScratchComplexVar;
+
+#endif
+
+ static CCTK_INT scratchspace_firstindex = -99;
+ static CCTK_INT scratchspace_firstindex_slow = -99;
+ CCTK_INT index, var, scratchstep;
+ CCTK_INT totalsize;
+ CCTK_REAL alpha[4], beta[5];
+ CCTK_REAL alpha_slow[4], beta_slow[5];
+ CCTK_REAL * restrict UpdateVar;
+ CCTK_REAL * restrict OldVar;
+ CCTK_REAL const * restrict RHSVar;
+ CCTK_REAL * restrict ScratchVar;
+
+ totalsize = 1;
+ for (arraydim = 0; arraydim < cctk_dim; arraydim++)
+ {
+ totalsize *= cctk_lsh[arraydim];
+ }
+
+ if (scratchspace_firstindex == -99)
+ {
+ scratchspace_firstindex = CCTK_FirstVarIndex("MOL::SCRATCHSPACE");
+ }
+
+ if (scratchspace_firstindex_slow == -99)
+ {
+ scratchspace_firstindex_slow = CCTK_FirstVarIndex("MOL::SCRATCHSPACESLOW");
+ }
+
+ switch (MoL_Intermediate_Steps - (*MoL_Intermediate_Step))
+ {
+ case 0:
+ alpha[0] = 1.0/2.0;
+ alpha[1] = 0;
+ alpha[2] = 0;
+ alpha[3] = 0;
+ alpha_slow[0] = 1.0/2.0;
+ alpha_slow[1] = 0;
+ alpha_slow[2] = 0;
+ alpha_slow[3] = 0;
+ break;
+ case 1:
+ alpha[0] = 1.0/4.0;
+ alpha[1] = 1.0/4.0;
+ alpha[2] = 0;
+ alpha[3] = 0;
+ alpha_slow[0] = 1.0/2.0;
+ alpha_slow[1] = 0;
+ alpha_slow[2] = 0;
+ alpha_slow[3] = 0;
+ break;
+ case 2:
+ alpha[0] = 1.0/4.0;
+ alpha[1] = 1.0/4.0;
+ alpha[2] = 1.0/2.0;
+ alpha[3] = 0.0;
+ alpha_slow[0] = 1.0;
+ alpha_slow[1] = 0;
+ alpha_slow[2] = 0;
+ alpha_slow[3] = 0;
+ break;
+ case 3:
+ alpha[0] = 1.0/4.0;
+ alpha[1] = 1.0/4.0;
+ alpha[2] = 1.0/4.0;
+ alpha[3] = 1.0/4.0;
+ alpha_slow[0] = 1.0;
+ alpha_slow[1] = 0;
+ alpha_slow[2] = 0;
+ alpha_slow[3] = 0;
+ }
+
+ beta[0] = 1.0/4.0;
+ beta[1] = 1.0/4.0;
+ beta[2] = 1.0/4.0;
+ beta[3] = 1.0/4.0;
+ beta[4] = 0.0;
+
+ beta_slow[0] = 1.0/2.0;
+ beta_slow[1] = 0.0;
+ beta_slow[2] = 0.0;
+ beta_slow[3] = 0.0;
+ beta_slow[4] = 1.0/2.0;
+
+
+ /* FIXME */
+
+
+ /* Real GFs, the "fast" part */
+
+ for (var = 0; var < MoLNumEvolvedVariables; var++)
+ {
+
+ UpdateVar = (CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 0,
+ EvolvedVariableIndex[var]);
+ OldVar = (CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 1,
+ EvolvedVariableIndex[var]);
+ RHSVar = (CCTK_REAL const *)CCTK_VarDataPtrI(cctkGH, 0,
+ RHSVariableIndex[var]);
+/* #define MOLDEBUG 1 */
+#ifdef MOLDEBUG
+ printf("In multirate RK. Variable %d (%s). RHS %d (%s). beta %g.\n",
+ EvolvedVariableIndex[var],
+ CCTK_VarName(EvolvedVariableIndex[var]),
+ RHSVariableIndex[var],
+ CCTK_VarName(RHSVariableIndex[var]),
+ beta[MoL_Intermediate_Steps - (*MoL_Intermediate_Step)]);
+#endif
+
+ ScratchVar = CCTK_VarDataPtrI(cctkGH, 0,
+ scratchspace_firstindex
+ + var
+ + MoLNumEvolvedVariables * (MoL_Intermediate_Steps - (*MoL_Intermediate_Step)));
+
+#pragma omp parallel for
+ for (index = 0; index < totalsize; index++)
+ {
+ ScratchVar[index] = (*Original_Delta_Time) / cctkGH->cctk_timefac * RHSVar[index];
+
+#ifdef MOLDEBUG
+ if (CCTK_EQUALS(verbose,"extreme"))
+ {
+ printf("Variable: %d. Index: %d. dt: %f. beta %f. RHS: %f. q: %f.\n",
+ var, index, (*Original_Delta_Time) / cctkGH->cctk_timefac, beta, RHSVar[index],
+ UpdateVar[index]);
+ }
+#endif
+ }
+
+
+#pragma omp parallel for
+ for (index = 0; index < totalsize; index++)
+ {
+ UpdateVar[index] = OldVar[index];
+ }
+
+ if ((*MoL_Intermediate_Step)>1)
+ {
+ //printf("Step %d \n", MoL_Intermediate_Steps - (*MoL_Intermediate_Step));
+ for (scratchstep = 0; scratchstep <= MoL_Intermediate_Steps - (*MoL_Intermediate_Step); scratchstep++)
+ {
+
+ //printf("Scratch Step %d, alpha %g \n", scratchstep, alpha[scratchstep]);
+
+ ScratchVar = CCTK_VarDataPtrI(cctkGH, 0,
+ scratchspace_firstindex
+ + var
+ + MoLNumEvolvedVariables * scratchstep);
+
+#pragma omp parallel for
+ for (index = 0; index < totalsize; index++)
+ {
+ UpdateVar[index] += alpha[scratchstep] * ScratchVar[index];
+ }
+ }
+ }
+ else
+ {
+ //printf("Final Step!\n");
+
+ for (scratchstep = 0; scratchstep < MoL_Intermediate_Steps; scratchstep++)
+ {
+
+ //printf("Scratch Step %d, beta %g \n", scratchstep, beta[scratchstep]);
+
+ ScratchVar = CCTK_VarDataPtrI(cctkGH, 0,
+ scratchspace_firstindex
+ + var
+ + MoLNumEvolvedVariables * scratchstep);
+
+#pragma omp parallel for
+ for (index = 0; index < totalsize; index++)
+ {
+ UpdateVar[index] += beta[scratchstep] * ScratchVar[index];
+ }
+ }
+ }
+
+ }
+
+
+ for (var = 0; var < MoLNumEvolvedVariablesSlow; var++)
+ {
+
+ UpdateVar = (CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 0,
+ EvolvedVariableIndexSlow[var]);
+ OldVar = (CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 1,
+ EvolvedVariableIndexSlow[var]);
+ RHSVar = (CCTK_REAL const *)CCTK_VarDataPtrI(cctkGH, 0,
+ RHSVariableIndexSlow[var]);
+/* #define MOLDEBUG 1 */
+#ifdef MOLDEBUG
+ printf("In multirate RK. SLOW Variable %d (%s). RHS %d (%s). beta %g.\n",
+ EvolvedVariableIndexSlow[var],
+ CCTK_VarName(EvolvedVariableIndexSlow[var]),
+ RHSVariableIndexSlow[var],
+ CCTK_VarName(RHSVariableIndexSlow[var]),
+ beta[MoL_Intermediate_Steps - (*MoL_Intermediate_Step)]);
+#endif
+
+ ScratchVar = CCTK_VarDataPtrI(cctkGH, 0,
+ scratchspace_firstindex_slow
+ + var
+ + MoLNumEvolvedVariablesSlow * (MoL_Intermediate_Steps - (*MoL_Intermediate_Step)));
+
+#pragma omp parallel for
+ for (index = 0; index < totalsize; index++)
+ {
+ ScratchVar[index] = (*Original_Delta_Time) / cctkGH->cctk_timefac * RHSVar[index];
+
+#ifdef MOLDEBUG
+ if (CCTK_EQUALS(verbose,"extreme"))
+ {
+ printf("SLOW Variable: %d. Index: %d. dt: %f. beta %f. RHS: %f. q: %f.\n",
+ var, index, (*Original_Delta_Time) / cctkGH->cctk_timefac, beta, RHSVar[index],
+ UpdateVar[index]);
+ }
+#endif
+ }
+
+
+#pragma omp parallel for
+ for (index = 0; index < totalsize; index++)
+ {
+ UpdateVar[index] = OldVar[index];
+ }
+
+ if ((*MoL_Intermediate_Step)>1)
+ {
+ //printf("Step %d \n", MoL_Intermediate_Steps - (*MoL_Intermediate_Step));
+ for (scratchstep = 0; scratchstep <= /*MoL_Intermediate_Steps - (*MoL_Intermediate_Step)*/ 0; scratchstep++)
+ {
+
+ //printf("Scratch Step %d, alpha %g \n", scratchstep, alpha_slow[scratchstep]);
+
+ ScratchVar = CCTK_VarDataPtrI(cctkGH, 0,
+ scratchspace_firstindex_slow
+ + var
+ + MoLNumEvolvedVariablesSlow * scratchstep);
+
+#pragma omp parallel for
+ for (index = 0; index < totalsize; index++)
+ {
+ UpdateVar[index] += alpha_slow[scratchstep] * ScratchVar[index];
+ }
+ }
+ }
+ else
+ {
+ //printf("Final Step!\n");
+
+ for (scratchstep = 0; scratchstep < MoL_Intermediate_Steps; scratchstep+=4)
+ {
+
+ //printf("Scratch Step %d, beta %g \n", scratchstep, beta_slow[scratchstep]);
+
+ ScratchVar = CCTK_VarDataPtrI(cctkGH, 0,
+ scratchspace_firstindex_slow
+ + var
+ + MoLNumEvolvedVariablesSlow * scratchstep);
+
+#pragma omp parallel for
+ for (index = 0; index < totalsize; index++)
+ {
+ UpdateVar[index] += beta_slow[scratchstep] * ScratchVar[index];
+ }
+ }
+ }
+
+ }
+
+ return;
+}