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Diffstat (limited to 'src/RK87.c')
| -rw-r--r-- | src/RK87.c | 272 |
1 files changed, 272 insertions, 0 deletions
diff --git a/src/RK87.c b/src/RK87.c new file mode 100644 index 0000000..3ce19b6 --- /dev/null +++ b/src/RK87.c @@ -0,0 +1,272 @@ + /*@@ + @file RK87.c + @date Sun May 26 03:47:15 2002 + @author Peter Diener (based on RK45.c by Ian Hawke) + @desc + RK87 following P. J. Prince and J. R. Dormand + Journal of Computational and Applied Mathematics, volume 7, no 1, 1981 + @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_RK87_c); + +/******************************************************************** + ********************* Local Data Types *********************** + ********************************************************************/ + +/******************************************************************** + ********************* Local Routine Prototypes ********************* + ********************************************************************/ + +/******************************************************************** + ***************** Scheduled Routine Prototypes ********************* + ********************************************************************/ + +void MoL_RK87Add(CCTK_ARGUMENTS); + +/******************************************************************** + ********************* Other Routine Prototypes ********************* + ********************************************************************/ + +/******************************************************************** + ********************* Local Data ***************************** + ********************************************************************/ + +/******************************************************************** + ********************* External Routines ********************** + ********************************************************************/ + + /*@@ + @routine MoL_RK87Add + @date Sun May 26 03:50:44 2002 + @author Peter Diener (based on MoL_RK45Add by Ian Hawke) + @desc + Performs a single step of a Runge-Kutta 87 type time + integration, storing the error estimate. + @enddesc + @calls + @calledby + @history + + @endhistory + +@@*/ + +void MoL_RK87Add(CCTK_ARGUMENTS) +{ + + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + cGroupDynamicData arraydata; + CCTK_INT groupindex, ierr, i, j; + CCTK_INT arraytotalsize, arraydim; + + static CCTK_INT scratchspace_firstindex = -99; + CCTK_INT index, var, scratchstep, alphaindex, scratchindex; + CCTK_INT totalsize; + + CCTK_REAL * restrict UpdateVar; + CCTK_REAL const * restrict RHSVar; + CCTK_REAL * restrict ScratchVar; + CCTK_REAL * restrict ErrorVar; + CCTK_REAL const * restrict OldVar; + + CCTK_INT arrayscratchlocation; + + CCTK_REAL beta, gamma, gamma_error; + + static const CCTK_REAL beta_array[12][12] = { + { 1.0/18.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }, + { 1.0/48.0, 1.0/16.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }, + { 1.0/32.0, 0.0, 3.0/32.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }, + { 5.0/16.0, 0.0, -75.0/64.0, 75.0/64.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }, + { 3.0/80.0, 0.0, 0.0, 3.0/16.0, 3.0/20.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }, + { 29443841.0/614563906.0, 0.0, 0.0, 77736538.0/692538347.0, -28693883.0/1125000000.0, 23124283.0/1800000000.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }, + { 16016141.0/946692911.0, 0.0, 0.0, 61564180.0/158732637.0, 22789713.0/633445777.0, 545815736.0/2771057229.0, -180193667.0/1043307555.0, 0.0, 0.0, 0.0, 0.0, 0.0 }, + { 39632708.0/573591083.0, 0.0, 0.0, -433636366.0/683701615.0, -421739975.0/2616292301.0, 100302831.0/723423059.0, 790204164.0/839813087.0, 800635310.0/3783071287.0, 0.0, 0.0, 0.0, 0.0 }, + { 246121993.0/1340847787.0, 0.0, 0.0, -37695042795.0/15268766246.0, -309121744.0/1061227803.0, -12992083.0/490766935.0, 6005943493.0/2108947869.0, 393006217.0/1396673457.0, 123872331.0/1001029789.0, 0.0, 0.0, 0.0 }, + { -1028468189.0/846180014.0, 0.0, 0.0, 8478235783.0/508512852.0, 1311729495.0/1432422823.0, -10304129995.0/1701304382.0, -48777925059.0/3047939560.0, 15336726248.0/1032824649.0, -45442868181.0/3398467696.0, 3065993473.0/597172653.0, 0.0, 0.0 }, + { 185892177.0/718116043.0, 0.0, 0.0, -3185094517.0/667107341.0, -477755414.0/1098053517.0, -703635378.0/230739211.0, 5731566787.0/1027545527.0, 5232866602.0/850066563.0, -4093664535.0/808688257.0, 3962137247.0/1805957418.0, 65686358.0/487910083.0, 0.0 }, + { 403863854.0/491063109.0, 0.0, 0.0, -5068492393.0/434740067.0, -411421997.0/543043805.0, 652783627.0/914296604.0, 11173962825.0/925320556.0, -13158990841.0/6184727034.0, 3936647629.0/1978049680.0, -160528059.0/685178525.0, 248638103.0/1413531060.0, 0.0 } + }; + + static const CCTK_REAL gamma_array[13] = + { 14005451.0/335480064.0, + 0.0, + 0.0, + 0.0, + 0.0, + -59238493.0/1068277825.0, + 181606767.0/758867731.0, + 561292985.0/797845732.0, + -1041891430.0/1371343529.0, + 760417239.0/1151165299.0, + 118820643.0/751138087.0, + -528747749.0/2220607170.0, + 1.0/4.0 + }; + + static const CCTK_REAL gammastar_array[13] = + { 13451932.0/455176623.0, + 0.0, + 0.0, + 0.0, + 0.0, + -808719846.0/976000145.0, + 1757004468.0/5645159321.0, + 656045339.0/265891186.0, + -3867574721.0/1518517206.0, + 465885868.0/322736535.0, + 53011238.0/667516719.0, + 2.0/45.0, + 0.0 + }; + + totalsize = 1; + for (arraydim = 0; arraydim < cctk_dim; arraydim++) + { + totalsize *= cctk_lsh[arraydim]; + } + + if (scratchspace_firstindex == -99) + { + scratchspace_firstindex = CCTK_FirstVarIndex("MOL::SCRATCHSPACE"); + } + + /* Real GFs */ + + /* First store (dt times) the rhs in the scratch array. */ + + for (var = 0; var < MoLNumEvolvedVariables; var++) + { + const CCTK_REAL tmp = (*Original_Delta_Time) / cctkGH->cctk_timefac; + + UpdateVar = (CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 0, + EvolvedVariableIndex[var]); + RHSVar = (CCTK_REAL const *)CCTK_VarDataPtrI(cctkGH, 0, + RHSVariableIndex[var]); + ScratchVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, + CCTK_FirstVarIndex("MOL::SCRATCHSPACE") + + var + + MoL_Num_Evolved_Vars * + (MoL_Intermediate_Steps - + (*MoL_Intermediate_Step))); + for (index = 0; index < totalsize; index++) + { + ScratchVar[index] = tmp * RHSVar[index]; + } + + } + + + 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, + CCTK_FirstVarIndex("MOL::SCRATCHSPACE") + + var + + MoL_Num_Evolved_Vars * + (MoL_Intermediate_Steps - + (*MoL_Intermediate_Step))); + ErrorVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, + CCTK_FirstVarIndex("MOL::ERRORESTIMATE") + + var); + + if (*MoL_Intermediate_Step - 1) + { + + for (index = 0; index < totalsize; index++) + { + UpdateVar[index] = OldVar[index]; + } + + for (scratchstep = 0; + scratchstep < MoL_Intermediate_Steps - (*MoL_Intermediate_Step) + 1; + scratchstep++) + { + + ScratchVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, + CCTK_FirstVarIndex("MOL::SCRATCHSPACE") + + var + + MoL_Num_Evolved_Vars * scratchstep); + + beta = beta_array[MoL_Intermediate_Steps - (*MoL_Intermediate_Step)][scratchstep]; + + if ( (beta > MoL_Tiny)||(beta < -MoL_Tiny) ) + { + for (index = 0; index < totalsize; index++) + { + UpdateVar[index] += beta * ScratchVar[index]; + } + } + + } + + } + else + { + + for (index = 0; index < totalsize; index++) + { + UpdateVar[index] = OldVar[index]; + ErrorVar[index] = 0; + } + + for (scratchstep = 0; scratchstep < 13; scratchstep++) + { + + ScratchVar = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, + CCTK_FirstVarIndex("MOL::SCRATCHSPACE") + + var + + MoL_Num_Evolved_Vars * scratchstep); + + gamma = gamma_array[scratchstep]; + gamma_error = gamma - gammastar_array[scratchstep]; + + if ( (gamma > MoL_Tiny)||(gamma < -MoL_Tiny) ) + { + for (index = 0; index < totalsize; index++) + { + UpdateVar[index] += gamma * ScratchVar[index]; + ErrorVar[index] += gamma_error * ScratchVar[index]; + } + } + + } + + } + + } + + /* Real arrays */ + + arrayscratchlocation = 0; + + for (var = 0; var < MoLNumEvolvedArrayVariables; var++) + { + + CCTK_WARN(0, "Peter has been too lazy to write the RK87 routine " + "out for array variables. Better send him an email..."); + + } + + return; +} + +/******************************************************************** + ********************* Local Routines ************************* + ********************************************************************/ + |