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/*@@
@file RK3.c
@date Tue Jul 22 00:38:47 2003
@author Ian Hawke
@desc
A specialized third order Runge-Kutta time integrator. This is
the integrator that Shu refers to as the optimal TVD third
order method (see reference in documentation).
@enddesc
@version $Header$
@@*/
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "ExternalVariables.h"
static const char *rcsid = "$Header$";
CCTK_FILEVERSION(CactusBase_MoL_RK3_c);
/********************************************************************
********************* Local Data Types ***********************
********************************************************************/
/********************************************************************
********************* Local Routine Prototypes *********************
********************************************************************/
/********************************************************************
***************** Scheduled Routine Prototypes *********************
********************************************************************/
void MoL_RK3Add(CCTK_ARGUMENTS);
/********************************************************************
********************* Other Routine Prototypes *********************
********************************************************************/
/********************************************************************
********************* Local Data *****************************
********************************************************************/
/********************************************************************
********************* External Routines **********************
********************************************************************/
/*@@
@routine MoL_RK3Add
@date Tue Jul 22 00:39:55 2003
@author Ian Hawke
@desc
Performs third order Runge-Kutta time integration.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
void MoL_RK3Add(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
cGroupDynamicData arraydata;
CCTK_INT groupindex, ierr;
CCTK_INT arraytotalsize, arraydim;
CCTK_INT index, var;
CCTK_INT totalsize;
CCTK_REAL const * restrict OldVar;
CCTK_REAL * restrict UpdateVar;
CCTK_REAL const * restrict RHSVar;
/* FIXME */
#ifdef MOLDOESCOMPLEX
CCTK_COMPLEX const * restrict OldComplexVar;
CCTK_COMPLEX * restrict UpdateComplexVar;
CCTK_COMPLEX const * restrict RHSComplexVar;
CCTK_COMPLEX Complex_Delta_Time = CCTK_Cmplx(CCTK_DELTA_TIME, 0);
CCTK_COMPLEX Complex_Half = CCTK_Cmplx(0.5, 0);
CCTK_COMPLEX Complex_Third = CCTK_Cmplx(1.0/3.0, 0);
CCTK_COMPLEX Complex_TwoThird = CCTK_Cmplx(2.0/3.0, 0);
CCTK_COMPLEX Complex_Quarter = CCTK_Cmplx(0.25, 0);
CCTK_COMPLEX Complex_ThreeQuarter = CCTK_Cmplx(0.75, 0);
#endif
#ifdef MOLDEBUG
printf("Inside RK3.\nStep %d.\nRefinement %d.\nTimestep %g.\n"
"Spacestep %g.\nTime %g\n",
MoL_Intermediate_Steps - *MoL_Intermediate_Step + 1,
*cctk_levfac,
CCTK_DELTA_TIME,
CCTK_DELTA_SPACE(0),
cctk_time);
#endif
totalsize = 1;
for (arraydim = 0; arraydim < cctk_dim; arraydim++)
{
totalsize *= cctk_lsh[arraydim];
}
switch (*MoL_Intermediate_Step)
{
case 3:
{
for (var = 0; var < MoLNumEvolvedVariables; var++)
{
UpdateVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0,
EvolvedVariableIndex[var]);
RHSVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0,
RHSVariableIndex[var]);
#pragma omp parallel for
for (index = 0; index < totalsize; index++)
{
UpdateVar[index] += CCTK_DELTA_TIME * RHSVar[index];
}
}
for (var = 0; var < MoLNumEvolvedArrayVariables; var++)
{
UpdateVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0,
EvolvedArrayVariableIndex[var]);
RHSVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0,
RHSArrayVariableIndex[var]);
groupindex = CCTK_GroupIndexFromVarI(EvolvedArrayVariableIndex[var]);
ierr = CCTK_GroupDynamicData(cctkGH, groupindex,
&arraydata);
if (ierr)
{
CCTK_VWarn(0, __LINE__, __FILE__, CCTK_THORNSTRING,
"The driver does not return group information "
"for group '%s'.",
CCTK_GroupName(groupindex));
}
arraytotalsize = 1;
for (arraydim = 0; arraydim < arraydata.dim; arraydim++)
{
arraytotalsize *= arraydata.lsh[arraydim];
}
#pragma omp parallel for
for (index = 0; index < arraytotalsize; index++)
{
UpdateVar[index] += CCTK_DELTA_TIME * RHSVar[index];
}
}
/* FIXME */
#ifdef MOLDOESCOMPLEX
for (var = 0; var < MoLNumEvolvedComplexVariables; var++)
{
UpdateComplexVar = (CCTK_COMPLEX*)CCTK_VarDataPtrI(cctkGH, 0,
EvolvedComplexVariableIndex[var]);
RHSComplexVar = (CCTK_COMPLEX*)CCTK_VarDataPtrI(cctkGH, 0,
RHSComplexVariableIndex[var]);
#pragma omp parallel for
for (index = 0; index < totalsize; index++)
{
UpdateComplexVar[index] = CCTK_CmplxAdd(UpdateComplexVar[index],
CCTK_CmplxMul(Complex_Delta_Time,
RHSComplexVar[index]));
}
}
#endif
break;
}
case 2:
{
for (var = 0; var < MoLNumEvolvedVariables; var++)
{
OldVar = (CCTK_REAL const*)CCTK_VarDataPtrI(cctkGH, 1,
EvolvedVariableIndex[var]);
UpdateVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0,
EvolvedVariableIndex[var]);
RHSVar = (CCTK_REAL const*)CCTK_VarDataPtrI(cctkGH, 0,
RHSVariableIndex[var]);
#pragma omp parallel for
for (index = 0; index < totalsize; index++)
{
UpdateVar[index] = 0.25 * (3*OldVar[index] +
UpdateVar[index]) +
CCTK_DELTA_TIME * RHSVar[index];
}
}
for (var = 0; var < MoLNumEvolvedArrayVariables; var++)
{
OldVar = (CCTK_REAL const*)CCTK_VarDataPtrI(cctkGH, 1,
EvolvedArrayVariableIndex[var]);
UpdateVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0,
EvolvedArrayVariableIndex[var]);
RHSVar = (CCTK_REAL const*)CCTK_VarDataPtrI(cctkGH, 0,
RHSArrayVariableIndex[var]);
groupindex = CCTK_GroupIndexFromVarI(EvolvedArrayVariableIndex[var]);
ierr = CCTK_GroupDynamicData(cctkGH, groupindex,
&arraydata);
if (ierr)
{
CCTK_VWarn(0, __LINE__, __FILE__, CCTK_THORNSTRING,
"The driver does not return group information "
"for group '%s'.",
CCTK_GroupName(groupindex));
}
arraytotalsize = 1;
for (arraydim = 0; arraydim < arraydata.dim; arraydim++)
{
arraytotalsize *= arraydata.lsh[arraydim];
}
#pragma omp parallel for
for (index = 0; index < arraytotalsize; index++)
{
UpdateVar[index] = 0.25*(3*OldVar[index] + UpdateVar[index]) +
CCTK_DELTA_TIME * RHSVar[index];
}
}
/* FIXME */
#ifdef MOLDOESCOMPLEX
for (var = 0; var < MoLNumEvolvedComplexVariables; var++)
{
OldComplexVar = (CCTK_COMPLEX const*)CCTK_VarDataPtrI(cctkGH, 1,
EvolvedComplexVariableIndex[var]);
UpdateComplexVar = (CCTK_COMPLEX*)CCTK_VarDataPtrI(cctkGH, 0,
EvolvedComplexVariableIndex[var]);
RHSComplexVar = (CCTK_COMPLEX const*)CCTK_VarDataPtrI(cctkGH, 0,
RHSComplexVariableIndex[var]);
#pragma omp parallel for
for (index = 0; index < totalsize; index++)
{
UpdateComplexVar[index] =
CCTK_CmplxAdd(CCTK_CmplxAdd(CCTK_CmplxMul(Complex_ThreeQuarter,
OldComplexVar[index]),
CCTK_CmplxMul(ComplexQuarter,
UpdateComplexVar[index])),
CCTK_CmplxMul(CCTK_CmplxMul(Complex_Delta_Time,
RHSComplexVar[index])));
}
}
#endif
break;
}
case 1:
{
const CCTK_REAL one_third = 1.0 / 3.0;
for (var = 0; var < MoLNumEvolvedVariables; var++)
{
OldVar = (CCTK_REAL const*)CCTK_VarDataPtrI(cctkGH, 1,
EvolvedVariableIndex[var]);
UpdateVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0,
EvolvedVariableIndex[var]);
RHSVar = (CCTK_REAL const*)CCTK_VarDataPtrI(cctkGH, 0,
RHSVariableIndex[var]);
#pragma omp parallel for
for (index = 0; index < totalsize; index++)
{
UpdateVar[index] = (OldVar[index] + 2*UpdateVar[index]) * one_third
+ CCTK_DELTA_TIME * RHSVar[index];
}
}
for (var = 0; var < MoLNumEvolvedArrayVariables; var++)
{
OldVar = (CCTK_REAL const*)CCTK_VarDataPtrI(cctkGH, 1,
EvolvedArrayVariableIndex[var]);
UpdateVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0,
EvolvedArrayVariableIndex[var]);
RHSVar = (CCTK_REAL const*)CCTK_VarDataPtrI(cctkGH, 0,
RHSArrayVariableIndex[var]);
groupindex = CCTK_GroupIndexFromVarI(EvolvedArrayVariableIndex[var]);
ierr = CCTK_GroupDynamicData(cctkGH, groupindex,
&arraydata);
if (ierr)
{
CCTK_VWarn(0, __LINE__, __FILE__, CCTK_THORNSTRING,
"The driver does not return group information "
"for group '%s'.",
CCTK_GroupName(groupindex));
}
arraytotalsize = 1;
for (arraydim = 0; arraydim < arraydata.dim; arraydim++)
{
arraytotalsize *= arraydata.lsh[arraydim];
}
#pragma omp parallel for
for (index = 0; index < arraytotalsize; index++)
{
UpdateVar[index] = (OldVar[index] + 2*UpdateVar[index]) * one_third
+ CCTK_DELTA_TIME * RHSVar[index];
}
}
/* FIXME */
#ifdef MOLDOESCOMPLEX
for (var = 0; var < MoLNumEvolvedComplexVariables; var++)
{
OldComplexVar = (CCTK_COMPLEX const*)CCTK_VarDataPtrI(cctkGH, 1,
EvolvedComplexVariableIndex[var]);
UpdateComplexVar = (CCTK_COMPLEX*)CCTK_VarDataPtrI(cctkGH, 0,
EvolvedComplexVariableIndex[var]);
RHSComplexVar = (CCTK_COMPLEX const*)CCTK_VarDataPtrI(cctkGH, 0,
RHSComplexVariableIndex[var]);
#pragma omp parallel for
for (index = 0; index < totalsize; index++)
{
UpdateComplexVar[index] =
CCTK_CmplxAdd(CCTK_CmplxAdd(CCTK_CmplxMul(Complex_Third,
OldComplexVar[index]),
CCTK_CmplxMul(ComplexTwoThird,
UpdateComplexVar[index])),
CCTK_CmplxMul(Complex_Delta_Time,
RHSComplexVar[index]));
}
}
#endif
break;
}
default:
{
CCTK_WARN(0, "RK3 expects MoL_Intermediate_Step to be "
"in [1,3]. This should be caught at ParamCheck - bug Ian!");
break;
}
}
return;
}
/********************************************************************
********************* Local Routines *************************
********************************************************************/
|
