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/*@@
@file RK2.c
@date Sun May 26 04:13:45 2002
@author Ian Hawke
@desc
A specialized second order Runge-Kutta time integrator. This is
the integrator that Shu refers to as the optimal TVD second
order method (see reference in documentation). It is equivalent
to Heun's predictor-corrector method, or the MacCormack method.
@enddesc
@version $Header$
@@*/
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "ExternalVariables.h"
#include "Operators.h"
static const char *rcsid = "$Header$";
CCTK_FILEVERSION(CactusBase_MoL_RK2_c);
/********************************************************************
********************* Local Data Types ***********************
********************************************************************/
/********************************************************************
********************* Local Routine Prototypes *********************
********************************************************************/
/********************************************************************
***************** Scheduled Routine Prototypes *********************
********************************************************************/
void MoL_RK2Add(CCTK_ARGUMENTS);
/********************************************************************
********************* Other Routine Prototypes *********************
********************************************************************/
/********************************************************************
********************* Local Data *****************************
********************************************************************/
/********************************************************************
********************* External Routines **********************
********************************************************************/
/*@@
@routine MoL_RK2Add
@date Sun May 26 04:17:23 2002
@author Ian Hawke
@desc
Performs second order Runge-Kutta time integration.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
void MoL_RK2Add(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
CCTK_INT arraydim;
CCTK_INT var;
CCTK_INT totalsize;
/* 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);
#endif
#ifdef MOLDEBUG
printf("Inside RK2.\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_ash[arraydim];
}
switch (*MoL_Intermediate_Step)
{
case 2:
{
for (var = 0; var < MoLNumEvolvedVariables; var++)
{
int const nsrcs = 1;
CCTK_INT const srcs[] = {RHSVariableIndex[var]};
CCTK_INT const tls[] = {0};
CCTK_REAL const facts[] = {CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedVariableIndex[var], 1.0,
srcs, tls, facts, nsrcs);
}
for (var = 0; var < MoLNumEvolvedArrayVariables; var++)
{
int const nsrcs = 1;
CCTK_INT const srcs[] = {RHSArrayVariableIndex[var]};
CCTK_INT const tls[] = {0};
CCTK_REAL const facts[] = {CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedArrayVariableIndex[var], 1.0,
srcs, tls, facts, nsrcs);
}
/* FIXME */
#ifdef MOLDOESCOMPLEX
for (var = 0; var < MoLNumEvolvedComplexVariables; var++)
{
int const nsrcs = 1;
CCTK_INT const srcs[] = {RHSComplexVariableIndex[var]};
CCTK_INT const tls[] = {0};
CCTK_REAL const facts[] = {CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedComplexVariableIndex[var], 1.0,
srcs, tls, facts, nsrcs);
}
#endif
break;
}
case 1:
{
for (var = 0; var < MoLNumEvolvedVariables; var++)
{
int const nsrcs = 2;
CCTK_INT const srcs[] =
{EvolvedVariableIndex[var], RHSVariableIndex[var]};
CCTK_INT const tls[] = {1, 0};
CCTK_REAL const facts[] = {0.5, CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedVariableIndex[var], 0.5,
srcs, tls, facts, nsrcs);
}
for (var = 0; var < MoLNumEvolvedArrayVariables; var++)
{
int const nsrcs = 2;
CCTK_INT const srcs[] =
{EvolvedArrayVariableIndex[var], RHSArrayVariableIndex[var]};
CCTK_INT const tls[] = {1, 0};
CCTK_REAL const facts[] = {0.5, CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedArrayVariableIndex[var], 0.5,
srcs, tls, facts, nsrcs);
}
/* FIXME */
#ifdef MOLDOESCOMPLEX
for (var = 0; var < MoLNumEvolvedComplexVariables; var++)
{
int const nsrcs = 2;
CCTK_INT const srcs[] =
{EvolvedComplexVariableIndex[var], RHSComplexVariableIndex[var]};
CCTK_INT const tls[] = {1, 0};
CCTK_REAL const facts[] = {0.5, CCTK_DELTA_TIME};
MoL_LinearCombination(cctkGH,
EvolvedComplexVariableIndex[var], 0.5,
srcs, tls, facts, nsrcs);
}
#endif
break;
}
default:
{
CCTK_WARN(0, "RK2 expects MoL_Intermediate_Step to be "
"in [1,2]. This should be caught at ParamCheck - "
"bug Ian!");
break;
}
}
return;
}
/********************************************************************
********************* Local Routines *************************
********************************************************************/
|
