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<< "KrancThorn.m";
SetEnhancedTimes[False];
Do[
groups = {{"phi_g", {phi}}, {"pi_g", {pi}}, {"xCopy_g", {xCopy}}};
PDstandard[fdOrder_] :=
Symbol["PDstandard"<>ToString[fdOrder]<>"th"];
fdOrders = {2,4};
derivatives =
{
Sequence@@Flatten[Table[
{PDstandard[fdOrder][i_] -> StandardCenteredDifferenceOperator[1,fdOrder/2,i],
PDstandard[fdOrder][i_,i_] -> StandardCenteredDifferenceOperator[2,fdOrder/2,i],
PDstandard[fdOrder][i_,j_] -> StandardCenteredDifferenceOperator[1,fdOrder/2,i] *
StandardCenteredDifferenceOperator[1,fdOrder/2,j]},
{fdOrder, fdOrders}],1]
};
PD = PDstandard;
f[x_] := Exp[-(x/0.1)^2];
initialGaussianCalc =
{
Name -> "initial_gaussian",
Schedule -> {"AT INITIAL"},
ExecuteOn -> Host,
Equations ->
{
phi -> f[t+x],
pi -> D[f[t+x],t],
xCopy -> x
}
};
evolveCalc[fdOrderp_] :=
{
Name -> "calc_rhs_"<>ToString[fdOrderp],
Schedule -> {"in MoL_CalcRHS", "at ANALYSIS"},
(* ConditionalOnTextuals -> {"fdOrder == "<>ToString[fdOrder]}, *)
Conditional -> fdOrder == fdOrderp,
Where -> Interior,
Equations ->
{
dot[phi] -> pi,
dot[pi] -> Euc[ui,uj] PD[fdOrderp][phi,li,lj]
}
};
boundCalc =
{
Name -> "calc_bound_rhs",
Schedule -> {"in MoL_RHSBoundaries", "at ANALYSIS"},
Where -> Boundary,
Equations ->
{
dot[phi] -> D[f[t+xCopy],t],
dot[pi] -> D[f[t+xCopy],t,t]
}
};
copyCalc =
{
Name -> "copy_to_device",
Schedule -> {"at INITIAL after initial_gaussian"},
Where -> Everywhere,
ExecuteOn -> Device,
Equations ->
{
phi -> phi,
pi -> pi
}
};
intParameters = {{Name -> fdOrder, Default -> 2, AllowedValues -> fdOrders}};
CreateKrancThornTT[groups, ".",
If[version === CaKernel, "WaveCaKernel", "WaveHost"],
Calculations -> {initialGaussianCalc, Sequence@@(evolveCalc/@fdOrders), boundCalc} ~Join~ If[version === CaKernel, {copyCalc}, {}],
PartialDerivatives -> derivatives,
UseCaKernel -> If[version === CaKernel, True, False],
EvolutionTimelevels -> 2,
DeclaredGroups -> {"phi_g","pi_g","xCopy_g"},
IntParameters -> intParameters];
, {version, {CaKernel, Host}}];
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