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|
/*@@
@file RK4-MR-2_1.c
@date 2012-03-25
@author Christian Reisswig
@desc
A routine to perform 3rd order 2:1 multirate RK 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_RK4_MR_2_1_c);
/********************************************************************
********************* Local Data Types ***********************
********************************************************************/
/********************************************************************
********************* Local Routine Prototypes *********************
********************************************************************/
/********************************************************************
***************** Scheduled Routine Prototypes *********************
********************************************************************/
void MoL_RK4_MR_2_1_Add(CCTK_ARGUMENTS);
/********************************************************************
********************* Other Routine Prototypes *********************
********************************************************************/
/********************************************************************
********************* Local Data *****************************
********************************************************************/
/********************************************************************
********************* External Routines **********************
********************************************************************/
/*@@
@routine MoL_RK4_MR_2_1_Add
@date
@author
@desc
Performs a single step of a RK43 2:1 type time
integration.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
void MoL_RK4_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[9], beta[10];
CCTK_REAL alpha_slow[9], beta_slow[10];
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_ash[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] = 1.0/4.0;
alpha[1] = 0;
alpha[2] = 0;
alpha[3] = 0;
alpha[4] = 0;
alpha[5] = 0;
alpha[6] = 0;
alpha[7] = 0;
alpha[8] = 0;
alpha_slow[0] = 1.0/4.0;
alpha_slow[1] = 0;
alpha_slow[2] = 0;
alpha_slow[3] = 0;
alpha_slow[4] = 0.0;
alpha_slow[5] = 0;
alpha_slow[6] = 0;
alpha_slow[7] = 0;
alpha_slow[8] = 0;
break;
case 1:
alpha[0] = -1.0/12.0;
alpha[1] = 1.0/3.0;
alpha[2] = 0;
alpha[3] = 0;
alpha[4] = 0.0;
alpha[5] = 0.0;
alpha[6] = 0;
alpha[7] = 0;
alpha[8] = 0;
alpha_slow[0] = 1.0/4.0;
alpha_slow[1] = 0;
alpha_slow[2] = 0;
alpha_slow[3] = 0;
alpha_slow[4] = 0.0;
alpha_slow[5] = 0;
alpha_slow[6] = 0;
alpha_slow[7] = 0;
alpha_slow[8] = 0;
break;
case 2:
alpha[0] = 1.0/6.0;
alpha[1] = -1.0/6.0;
alpha[2] = 1.0/2.0;
alpha[3] = 0.0;
alpha[4] = 0.0;
alpha[5] = 0.0;
alpha[6] = 0.0;
alpha[7] = 0.0;
alpha[8] = 0.0;
alpha_slow[0] = 1.0/2.0;
alpha_slow[1] = 0;
alpha_slow[2] = 0;
alpha_slow[3] = 0;
alpha_slow[4] = 0.0;
alpha_slow[5] = 0;
alpha_slow[6] = 0;
alpha_slow[7] = 0;
alpha_slow[8] = 0;
break;
case 3:
alpha[0] = 1.0/12.0;
alpha[1] = 1.0/6.0;
alpha[2] = 1.0/6.0;
alpha[3] = 1.0/12.0;
alpha[4] = 0.0;
alpha[5] = 0.0;
alpha[6] = 0.0;
alpha[7] = 0.0;
alpha[8] = 0.0;
alpha_slow[0] = 1.0/2.0;
alpha_slow[1] = 0;
alpha_slow[2] = 0;
alpha_slow[3] = 0;
alpha_slow[4] = 0.0;
alpha_slow[5] = 0;
alpha_slow[6] = 0;
alpha_slow[7] = 0;
alpha_slow[8] = 0;
case 4:
alpha[0] = 1.0/12.0;
alpha[1] = 1.0/6.0;
alpha[2] = 1.0/6.0;
alpha[3] = 1.0/6.0;
alpha[4] = 1.0/12.0;
alpha[5] = 0.0;
alpha[6] = 0.0;
alpha[7] = 0.0;
alpha[8] = 0.0;
alpha_slow[0] = -1.0/6.0;
alpha_slow[1] = 0;
alpha_slow[2] = 0;
alpha_slow[3] = 0;
alpha_slow[4] = 2.0/3.0;
alpha_slow[5] = 0;
alpha_slow[6] = 0;
alpha_slow[7] = 0;
alpha_slow[7] = 0;
case 5:
alpha[0] = 1.0/12.0;
alpha[1] = 1.0/6.0;
alpha[2] = 1.0/6.0;
alpha[3] = 1.0/12.0;
alpha[4] = 0.0;
alpha[5] = 1.0/4.0;
alpha[6] = 0.0;
alpha[7] = 0.0;
alpha[8] = 0.0;
alpha_slow[0] = 1.0/12.0;
alpha_slow[1] = 0;
alpha_slow[2] = 0;
alpha_slow[3] = 0;
alpha_slow[4] = 1.0/6.0;
alpha_slow[5] = 1.0/2.0;
alpha_slow[6] = 0;
alpha_slow[7] = 0;
alpha_slow[7] = 0;
case 6:
alpha[0] = 1.0/12.0;
alpha[1] = 1.0/6.0;
alpha[2] = 1.0/6.0;
alpha[3] = 1.0/12.0;
alpha[4] = 0.0;
alpha[5] = -1.0/12.0;
alpha[6] = 1.0/3.0;
alpha[7] = 0.0;
alpha[8] = 0.0;
alpha_slow[0] = 1.0/12.0;
alpha_slow[1] = 0;
alpha_slow[2] = 0;
alpha_slow[3] = 0;
alpha_slow[4] = 1.0/6.0;
alpha_slow[5] = 1.0/2.0;
alpha_slow[6] = 0;
alpha_slow[7] = 0;
alpha_slow[7] = 0;
case 7:
alpha[0] = 1.0/12.0;
alpha[1] = 1.0/6.0;
alpha[2] = 1.0/6.0;
alpha[3] = 1.0/12.0;
alpha[4] = 0.0;
alpha[5] = 1.0/6.0;
alpha[6] = -1.0/6.0;
alpha[7] = 1.0/2.0;
alpha[8] = 0.0;
alpha_slow[0] = 1.0/3.0;
alpha_slow[1] = 0;
alpha_slow[2] = 0;
alpha_slow[3] = 0;
alpha_slow[4] = -1.0/3.0;
alpha_slow[5] = 1.0;
alpha_slow[6] = 0;
alpha_slow[7] = 0;
alpha_slow[7] = 0;
case 8:
alpha[0] = 1.0/12.0;
alpha[1] = 1.0/6.0;
alpha[2] = 1.0/6.0;
alpha[3] = 1.0/12.0;
alpha[4] = 0.0;
alpha[5] = 1.0/12.0;
alpha[6] = 1.0/6.0;
alpha[7] = 1.0/6.0;
alpha[8] = 1.0/12.0;
alpha_slow[0] = 1.0/3.0;
alpha_slow[1] = 0;
alpha_slow[2] = 0;
alpha_slow[3] = 0;
alpha_slow[4] = -1.0/3.0;
alpha_slow[5] = 1.0;
alpha_slow[6] = 0;
alpha_slow[7] = 0;
alpha_slow[7] = 0;
}
beta[0] = 1.0/12.0;
beta[1] = 1.0/6.0;
beta[2] = 1.0/6.0;
beta[3] = 1.0/12.0;
beta[4] = 0.0;
beta[5] = 1.0/12.0;
beta[6] = 1.0/6.0;
beta[7] = 1.0/6.0;
beta[8] = 1.0/12.0;
beta[9] = 0.0;
beta_slow[0] = 1.0/6.0;
beta_slow[1] = 0.0;
beta_slow[2] = 0.0;
beta_slow[3] = 0.0;
beta_slow[4] = 1.0/3.0;
beta_slow[5] = 1.0/3.0;
beta_slow[6] = 0.0;
beta_slow[7] = 0.0;
beta_slow[8] = 0.0;
beta_slow[9] = 1.0/6.0;
/* 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); scratchstep++)
{
//printf("Scratch Step %d, alpha %g \n", scratchstep, alpha[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++)
{
//printf("Scratch Step %d, beta %g \n", scratchstep, beta[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;
}
|
