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/*@@
@file RKCoefficients.c
@date Tue May 21 02:46:51 2002
@author Ian Hawke
@desc
The routine setting up the coefficients for the generic Runge-Kutta
style integrator. At some point this should be extended so that
these can be set from the parameter file.
@version $Header$
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "util_ErrorCodes.h"
#include "util_Table.h"
static const char *rcsid = "$Header$";
CCTK_FILEVERSION(CactusBase_MoL_RKCoefficients_c);
/********************************************************************
********************* Local Data Types ***********************
********************************************************************/
/********************************************************************
********************* Local Routine Prototypes *********************
********************************************************************/
/********************************************************************
***************** Scheduled Routine Prototypes *********************
********************************************************************/
int MoL_SetupRKCoefficients(CCTK_ARGUMENTS);
/********************************************************************
********************* Other Routine Prototypes *********************
********************************************************************/
/********************************************************************
********************* Local Data *****************************
********************************************************************/
/********************************************************************
********************* External Routines **********************
********************************************************************/
/*@@
@routine MoL_SetupRKCoefficients
@date Tue May 21 02:49:06 2002
@author Ian Hawke
@desc
Sets up the coefficients of the RKAlpha and Beta arrays. These
are currently set "by hand" for the Runge-Kutta and generic ICN
methods. Should add the ability to set from a parameter file.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
int MoL_SetupRKCoefficients(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
CCTK_INT i, j;
CCTK_INT ierr, options_table;
if (CCTK_EQUALS(Generic_Type,"Classic RK3"))
{
if (MoL_Num_Scratch_Levels != 2)
{
CCTK_WARN(0, "For Classic RK3, MoL_Num_Scratch_Levels "
"should be at least 2");
}
if (MoL_Intermediate_Steps != 3)
{
CCTK_WARN(0, "For Classic RK3, MoL_Intermediate_Steps "
"should be at least 3");
}
for (i = 0; i < MoL_Intermediate_Steps; i++)
{
for (j = 0; j < MoL_Num_Scratch_Levels + 1; j++)
{
RKAlphaCoefficients[i * MoL_Intermediate_Steps + j] = 0.0;
}
RKBetaCoefficients[i] = 0.0;
}
RKAlphaCoefficients[0] = 1.0;
RKAlphaCoefficients[3] = 1.0;
RKAlphaCoefficients[6] = 1.0 / 9.0;
RKAlphaCoefficients[7] = 4.0 / 9.0;
RKAlphaCoefficients[8] = 4.0 / 9.0;
RKBetaCoefficients[0] = 0.5;
RKBetaCoefficients[1] = 0.75;
RKBetaCoefficients[2] = 4.0 / 9.0;
}
else if (CCTK_EQUALS(Generic_Type,"ICN"))
{
for (i = 0; i < MoL_Intermediate_Steps; i++)
{
RKAlphaCoefficients[i * MoL_Intermediate_Steps] = 1.0;
for (j = 1; j < MoL_Num_Scratch_Levels + 1; j++)
{
RKAlphaCoefficients[i * MoL_Intermediate_Steps + j] = 0.0;
}
if (i == MoL_Intermediate_Steps-1)
{
RKBetaCoefficients[i] = 1.0;
}
else
{
RKBetaCoefficients[i] = 0.5;
}
}
}
else if (CCTK_EQUALS(Generic_Type,"RK"))
{
if (MoL_Num_Scratch_Levels < MoL_Intermediate_Steps - 1)
{
CCTK_WARN(0, "For generic RK methods, MoL_Num_Scratch_Levels "
"should be at least MoL_Intermediate_Steps - 1");
}
for (i = 0; i < MoL_Intermediate_Steps; i++)
{
for (j = 0; j < MoL_Num_Scratch_Levels + 1; j++)
{
RKAlphaCoefficients[i * MoL_Intermediate_Steps + j] = 0.0;
}
RKBetaCoefficients[i] = 0.0;
}
if (MoL_Intermediate_Steps == 1)
{
RKAlphaCoefficients[0] = 1.0;
RKBetaCoefficients[0] = 1.0;
}
else if (MoL_Intermediate_Steps == 2)
{
RKAlphaCoefficients[0] = 1.0;
RKAlphaCoefficients[2] = 0.5;
RKAlphaCoefficients[3] = 0.5;
RKBetaCoefficients[0] = 1.0;
RKBetaCoefficients[1] = 0.5;
}
else if (MoL_Intermediate_Steps == 3)
{
RKAlphaCoefficients[0] = 1.0;
RKAlphaCoefficients[3] = 0.75;
RKAlphaCoefficients[4] = 0.25;
RKAlphaCoefficients[6] = 1.0 / 3.0;
RKAlphaCoefficients[8] = 2.0 / 3.0;
RKBetaCoefficients[0] = 1.0;
RKBetaCoefficients[1] = 0.25;
RKBetaCoefficients[2] = 2.0 / 3.0;
}
else if (MoL_Intermediate_Steps == 4)
{
RKAlphaCoefficients[0] = 1.0;
RKAlphaCoefficients[4] = 1.0;
RKAlphaCoefficients[8] = 1.0;
RKAlphaCoefficients[12] = -1.0 / 3.0;
RKAlphaCoefficients[13] = 1.0 / 3.0;
RKAlphaCoefficients[14] = 2.0 / 3.0;
RKAlphaCoefficients[15] = 1.0 / 3.0;
RKBetaCoefficients[0] = 0.5;
RKBetaCoefficients[1] = 0.5;
RKBetaCoefficients[2] = 1.0;
RKBetaCoefficients[3] = 1.0 / 6.0;
}
else
{
CCTK_WARN(0, "RKCoefficients cannot do generic RK methods "
"with MoL_Intermediate_Steps greater than 4");
}
}
else if (CCTK_EQUALS(Generic_Type,"Table"))
{
if (MoL_Num_Scratch_Levels < MoL_Intermediate_Steps - 1)
{
CCTK_WARN(0, "For generic methods, MoL_Num_Scratch_Levels "
"should be at least MoL_Intermediate_Steps - 1");
}
options_table =
Util_TableCreateFromString(Generic_Method_Descriptor);
if (options_table < 0)
{
CCTK_WARN(0, "Failed to create table from "
"Generic_Method_Descriptor!");
}
ierr = Util_TableGetRealArray(options_table,
(MoL_Num_Scratch_Levels + 1) *
MoL_Intermediate_Steps,
RKAlphaCoefficients,
"GenericAlphaCoeffs");
if (ierr < (MoL_Num_Scratch_Levels + 1) * MoL_Intermediate_Steps )
{
if (ierr >= 0)
{
CCTK_WARN(0, "Insufficient elements in the specified "
"GenericAlphaCoeffs array");
}
else if (ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY)
{
CCTK_WARN(0, "When using the generic table options you "
"must set \"GenericAlphaCoeffs\" in the options table");
}
else
{
CCTK_WARN(0, "Table error - check with Ian.");
}
}
ierr = Util_TableGetRealArray(options_table,
MoL_Intermediate_Steps,
RKBetaCoefficients,
"GenericBetaCoeffs");
if (ierr < MoL_Intermediate_Steps)
{
if (ierr >= 0)
{
CCTK_WARN(0, "Insufficient elements in the specified "
"GenericBetaCoeffs array");
}
else if (ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY)
{
CCTK_WARN(0, "When using the generic table options you "
"must set \"GenericBetaCoeffs\" in the options table");
}
else
{
CCTK_WARN(0, "Table error - check with Ian.");
}
}
ierr = Util_TableDestroy(options_table);
}
else
{
CCTK_WARN(0, "RKCoefficients does not recognize the value "
"of Generic_Type");
}
return 0;
}
/********************************************************************
********************* Local Routines *************************
********************************************************************/
|
