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/*@@
@file GenericRK.c
@date Sun May 26 03:47:15 2002
@author Ian Hawke
@desc
This routine performs a generic Runge-Kutta type integration
given the set of coefficients defined in the RKAlphaCoefficients
and RKBetaCoefficients arrays. See the article by Shu referenced
in the documentation for more details.
@enddesc
@version $Header$
@@*/
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "ExternalVariables.h"
static const char *rcsid = "$Header$";
CCTK_FILEVERSION(CactusMoL2_MoL2_GenericRK_c);
/********************************************************************
********************* Local Data Types ***********************
********************************************************************/
/********************************************************************
********************* Local Routine Prototypes *********************
********************************************************************/
CCTK_INT AlphaIndex(CCTK_INT Step_Number, CCTK_INT Scratch_Level);
/********************************************************************
***************** Scheduled Routine Prototypes *********************
********************************************************************/
void MoL_GenericRKAdd(CCTK_ARGUMENTS);
/********************************************************************
********************* Other Routine Prototypes *********************
********************************************************************/
/********************************************************************
********************* Local Data *****************************
********************************************************************/
/********************************************************************
********************* External Routines **********************
********************************************************************/
/*@@
@routine MoL_GenericRKAdd
@date Sun May 26 03:50:44 2002
@author Ian Hawke
@desc
Performs a single step of a generic Runge-Kutta type time
integration.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
void MoL_GenericRKAdd(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
CCTK_INT index, var, scratchstep, alphaindex, scratchindex;
CCTK_INT totalsize;
CCTK_REAL alpha, beta;
CCTK_REAL *UpdateVar;
CCTK_REAL *RHSVar;
CCTK_REAL *ScratchVar;
totalsize = cctk_lsh[0] * cctk_lsh[1] * cctk_lsh[2];
beta = RKBetaCoefficients[MoL_Intermediate_Steps -
(*MoL_Intermediate_Step)];
for (var = 0; var < MoLNumEvolvedVariables; var++)
{
UpdateVar = (CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 0,
EvolvedVariableIndex[var]);
RHSVar = (CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 0,
RHSVariableIndex[var]);
/*
printf("In generic RK. Variable %d (%s). RHS %d (%s).\n",
EvolvedVariableIndex[var],
CCTK_VarName(EvolvedVariableIndex[var]),
RHSVariableIndex[var],
CCTK_VarName(RHSVariableIndex[var]));
*/
for (index = 0; index < totalsize; index++)
{
UpdateVar[index] = (*Original_Delta_Time) * beta * RHSVar[index];
/* UpdateVar[index] = CCTK_DELTA_TIME * beta * RHSVar[index];*/
/* UpdateVar[index] = CCTK_DELTA_TIME * RHSVar[index];*/
/*
printf("Variable: %d. Index: %d. dt: %f. beta %f. RHS: %f. q: %f.\n",
var, index, (*Original_Delta_Time), beta, RHSVar[index],
UpdateVar[index]);
*/
/*
if (EvolvedVariableIndex[var]==CCTK_VarIndex("admbase::alp"))
{
printf("RK: Index: %d. dt: %f. beta %f. RHS: %f (%s). q: %f.\n",
index, (*Original_Delta_Time), beta, RHSVar[index],
CCTK_VarName(RHSVariableIndex[var]),UpdateVar[index]);
}
*/
}
for (scratchstep = 0;
scratchstep < MoL_Intermediate_Steps - (*MoL_Intermediate_Step) + 1;
scratchstep++)
{
alphaindex = AlphaIndex(*MoL_Intermediate_Step, scratchstep);
scratchindex = scratchstep - 1;
alpha = RKAlphaCoefficients[alphaindex];
if (scratchstep)
{
ScratchVar = &ScratchSpace[(var * MoL_Num_Scratch_Levels +
scratchindex) * totalsize];
/*
printf("Reading from scratch space, initial address %ld index %d\n",
ScratchVar, (var * MoL_Num_Scratch_Levels +
scratchindex) * totalsize);
*/
}
else
{
ScratchVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 1,
EvolvedVariableIndex[var]);
}
if ( (alpha > MoL_Tiny)||(alpha < -MoL_Tiny) )
{
for (index = 0; index < totalsize; index++)
{
UpdateVar[index] += alpha * ScratchVar[index];
/*
printf("Variable: %d. Index: %d. step: %d. alpha: %f. Scratch: %f. q: %f.\n",
var, index, (*MoL_Intermediate_Step), alpha, ScratchVar[index], UpdateVar[index]);
*/
}
}
}
}
if (*MoL_Intermediate_Step > 1)
{
for (var = 0; var < MoLNumEvolvedVariables; var++)
{
UpdateVar = (CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 0,
EvolvedVariableIndex[var]);
ScratchVar = &ScratchSpace[(var * MoL_Num_Scratch_Levels +
MoL_Intermediate_Steps -
(*MoL_Intermediate_Step)) * totalsize];
/*
printf("Writing to scratch space, initial address %ld, index %d \n",
ScratchVar, (var * MoL_Num_Scratch_Levels +
MoL_Intermediate_Steps -
(*MoL_Intermediate_Step)) * totalsize);
*/
for (index = 0; index < totalsize; index++)
{
ScratchVar[index] = UpdateVar[index];
/*
printf("Variable: %d. Index: %d. step: %d. Scratch: %f.\n",
var, index, (*MoL_Intermediate_Step), ScratchVar[index]);
*/
}
}
}
return;
}
/********************************************************************
********************* Local Routines *************************
********************************************************************/
CCTK_INT AlphaIndex(CCTK_INT Step_Number, CCTK_INT Scratch_Level)
{
DECLARE_CCTK_PARAMETERS;
return (MoL_Intermediate_Steps - Step_Number) * MoL_Intermediate_Steps +
Scratch_Level;
}
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