private void ComputeAverageU <T>(IEnumerable <T> U0, VectorField <XDGField> U0mean, int order, XQuadSchemeHelper qh) where T : DGField
{
using (FuncTrace ft = new FuncTrace()) {
var CC = this.LsTrk.Regions.GetCutCellMask();
int D = this.LsTrk.GridDat.SpatialDimension;
double minvol = Math.Pow(this.LsTrk.GridDat.Cells.h_minGlobal, D);
//var qh = new XQuadSchemeHelper(agg);
foreach (var Spc in this.LsTrk.SpeciesIdS) // loop over species...
//var Spc = this.LsTrk.GetSpeciesId("B"); {
// shadow fields
{
DGField[] U0_Spc = U0.Select(U0_d => (U0_d is XDGField) ? ((DGField)((U0_d as XDGField).GetSpeciesShadowField(Spc))) : ((DGField)U0_d)).ToArray();
var U0mean_Spc = U0mean.Select(U0mean_d => U0mean_d.GetSpeciesShadowField(Spc)).ToArray();
// normal cells:
for (int d = 0; d < D; d++)
{
U0mean_Spc[d].AccLaidBack(1.0, U0_Spc[d], this.LsTrk.Regions.GetSpeciesMask(Spc));
}
// cut cells
var scheme = qh.GetVolumeQuadScheme(Spc, IntegrationDomain: this.LsTrk.Regions.GetCutCellMask());
var rule = scheme.Compile(this.LsTrk.GridDat, order);
CellQuadrature.GetQuadrature(new int[] { D + 1 }, // vector components: ( avg_vel[0], ... , avg_vel[D-1], cell_volume )
this.LsTrk.GridDat,
rule,
delegate(int i0, int Length, QuadRule QR, MultidimensionalArray EvalResult) {
EvalResult.Clear();
for (int d = 0; d < D; d++)
{
U0_Spc[d].Evaluate(i0, Length, QR.Nodes, EvalResult.ExtractSubArrayShallow(-1, -1, d));
}
var Vol = EvalResult.ExtractSubArrayShallow(-1, -1, D);
Vol.SetAll(1.0);
},
delegate(int i0, int Length, MultidimensionalArray ResultsOfIntegration) {
for (int i = 0; i < Length; i++)
{
int jCell = i + i0;
double Volume = ResultsOfIntegration[i, D];
if (Math.Abs(Volume) < minvol * 1.0e-12)
{
// keep current value
// since the volume of species 'Spc' in cell 'jCell' is 0.0, the value in this cell should have no effect
}
else
{
for (int d = 0; d < D; d++)
{
double IntVal = ResultsOfIntegration[i, d];
U0mean_Spc[d].SetMeanValue(jCell, IntVal / Volume);
}
}
}
}).Execute();
}
#if DEBUG
{
var Uncut = LsTrk.Regions.GetCutCellMask().Complement();
VectorField <SinglePhaseField> U0mean_check = new VectorField <SinglePhaseField>(D, new Basis(LsTrk.GridDat, 0), SinglePhaseField.Factory);
for (int d = 0; d < D; d++)
{
U0mean_check[d].ProjectField(1.0, U0.ElementAt(d).Evaluate,
new CellQuadratureScheme(false, Uncut).AddFixedOrderRules(LsTrk.GridDat, U0.ElementAt(d).Basis.Degree + 1));
}
foreach (var _Spc in this.LsTrk.SpeciesIdS) // loop over species...
{
for (int d = 0; d < D; d++)
{
U0mean_check[d].AccLaidBack(-1.0, U0mean[d].GetSpeciesShadowField(_Spc), Uncut.Intersect(LsTrk.Regions.GetSpeciesMask(_Spc)));
}
}
double checkNorm = U0mean_check.L2Norm();
Debug.Assert(checkNorm < 1.0e-6);
}
#endif
U0mean.ForEach(F => F.CheckForNanOrInf(true, true, true));
}
}
void ComputeL2Error(double PhysTime)
{
Console.WriteLine("Phystime = " + PhysTime);
if ((this.Control.CircleRadius != null) != (this.Control.CutCellQuadratureType == XQuadFactoryHelper.MomentFittingVariants.ExactCircle))
{
throw new ApplicationException("Illegal HMF configuration.");
}
if (this.Control.CircleRadius != null)
{
ExactCircleLevelSetIntegration.RADIUS = new double[] { this.Control.CircleRadius(PhysTime) };
}
int order = Math.Max(this.u.Basis.Degree * 3, 3);
XQuadSchemeHelper schH = LsTrk.GetXDGSpaceMetrics(this.LsTrk.SpeciesIdS.ToArray(), order).XQuadSchemeHelper;
var uNum_A = this.u.GetSpeciesShadowField("A");
var uNum_B = this.u.GetSpeciesShadowField("B");
double uA_Err = uNum_A.L2Error(this.Control.uA_Ex.Vectorize(PhysTime), order, schH.GetVolumeQuadScheme(this.LsTrk.GetSpeciesId("A")));
double uB_Err = uNum_B.L2Error(this.Control.uB_Ex.Vectorize(PhysTime), order, schH.GetVolumeQuadScheme(this.LsTrk.GetSpeciesId("B")));
Func <double[], double, double> uJmp_Ex = ((X, t) => this.Control.uA_Ex(X, t) - this.Control.uB_Ex(X, t));
SinglePhaseField uNumJump = new SinglePhaseField(uNum_A.Basis, "Jump");
var CC = LsTrk.Regions.GetCutCellMask();
uNumJump.Acc(+1.0, uNum_A, CC);
uNumJump.Acc(-1.0, uNum_B, CC);
double JmpL2Err = uNumJump.L2Error(uJmp_Ex.Vectorize(PhysTime), order, schH.GetLevelSetquadScheme(0, CC));
base.QueryHandler.ValueQuery("uA_Err", uA_Err);
base.QueryHandler.ValueQuery("uB_Err", uB_Err);
base.QueryHandler.ValueQuery("uJmp_Err", JmpL2Err);
Console.WriteLine("L2-err at t = {0}, bulk: {1}", PhysTime, Math.Sqrt(uA_Err.Pow2() + uB_Err.Pow2()));
Console.WriteLine("L2-err at t = {0}, species A: {1}", PhysTime, uA_Err);
Console.WriteLine("L2-err at t = {0}, species B: {1}", PhysTime, uB_Err);
Console.WriteLine("L2-err at t = {0}, Jump: {1}", PhysTime, JmpL2Err);
double uA_min, uA_max, uB_min, uB_max;
int dummy1, dummy2;
uNum_A.GetExtremalValues(out uA_min, out uA_max, out dummy1, out dummy2, this.LsTrk.Regions.GetSpeciesMask("A"));
uNum_B.GetExtremalValues(out uB_min, out uB_max, out dummy1, out dummy2, this.LsTrk.Regions.GetSpeciesMask("B"));
base.QueryHandler.ValueQuery("uA_Min", uA_min);
base.QueryHandler.ValueQuery("uA_Max", uA_max);
base.QueryHandler.ValueQuery("uB_Min", uB_min);
base.QueryHandler.ValueQuery("uB_Max", uB_max);
}