Examples: Add SimpleWave example

1 files changed, 39 insertions, 0 deletions

diff --git a/Examples/SimpleWave.m b/Examples/SimpleWave.m
new file mode 100644
index 0000000..1fbee69
--- /dev/null
+++ b/Examples/SimpleWave.m
@@ -0,0 +1,39 @@
+<< "KrancThorn.m";
+
+groups = {{"evolved_group", {phi, pi}}};
+
+derivatives =
+{
+  PDstandard2nd[i_] -> StandardCenteredDifferenceOperator[1,1,i],
+  PDstandard2nd[i_, i_] -> StandardCenteredDifferenceOperator[2,1,i]
+};
+
+PD = PDstandard2nd;
+
+initialSineCalc = 
+{
+  Name -> "initial_sine",
+  Schedule -> {"AT INITIAL"},
+  Equations -> 
+  {
+    phi -> Sin[2 Pi (x - t)],
+    pi -> -2 Pi Cos[2 Pi (x - t)]
+  }
+};
+
+evolveCalc = 
+{
+  Name -> "calc_rhs",
+  Schedule -> {"in MoL_CalcRHS"},
+  Equations ->
+  {
+    dot[phi] -> pi,
+    dot[pi]  -> Euc[ui,uj] PD[phi,li,lj]
+  }
+};
+
+CreateKrancThornTT[groups, ".", 
+  "SimpleWave", 
+  Calculations -> {initialSineCalc, evolveCalc},
+  PartialDerivatives -> derivatives,
+  DeclaredGroups -> {"evolved_group"}];