/// <summary>
///
/// </summary>
public void AssembleMatrix_Timestepper <T>(
int CutCellQuadOrder,
BlockMsrMatrix OpMatrix, double[] OpAffine,
Dictionary <SpeciesId, MultidimensionalArray> AgglomeratedCellLengthScales,
IEnumerable <T> CurrentState,
VectorField <SinglePhaseField> SurfaceForce,
VectorField <SinglePhaseField> LevelSetGradient, SinglePhaseField ExternalyProvidedCurvature,
UnsetteledCoordinateMapping RowMapping, UnsetteledCoordinateMapping ColMapping,
double time, IEnumerable <T> CoupledCurrentState = null, IEnumerable <T> CoupledParams = null) where T : DGField
{
if (ColMapping.BasisS.Count != this.Op.DomainVar.Count)
{
throw new ArgumentException();
}
if (RowMapping.BasisS.Count != this.Op.CodomainVar.Count)
{
throw new ArgumentException();
}
// check:
var Tracker = this.LsTrk;
int D = Tracker.GridDat.SpatialDimension;
if (CurrentState != null && CurrentState.Count() != (D + 1))
{
throw new ArgumentException();
}
if (OpMatrix == null && CurrentState == null)
{
throw new ArgumentException();
}
DGField[] U0;
if (CurrentState != null)
{
U0 = CurrentState.Take(D).ToArray();
}
else
{
U0 = null;
}
LevelSet Phi = (LevelSet)(Tracker.LevelSets[0]);
SpeciesId[] SpcToCompute = AgglomeratedCellLengthScales.Keys.ToArray();
IDictionary <SpeciesId, MultidimensionalArray> InterfaceLengths = this.LsTrk.GetXDGSpaceMetrics(this.LsTrk.SpeciesIdS.ToArray(), CutCellQuadOrder).CutCellMetrics.InterfaceArea;
// advanced settings for the navier slip boundary condition
// ========================================================
CellMask SlipArea;
switch (this.dntParams.GNBC_Localization)
{
case NavierSlip_Localization.Bulk: {
SlipArea = this.LsTrk.GridDat.BoundaryCells.VolumeMask;
break;
}
case NavierSlip_Localization.ContactLine: {
SlipArea = null;
break;
}
case NavierSlip_Localization.Nearband: {
SlipArea = this.LsTrk.GridDat.BoundaryCells.VolumeMask.Intersect(this.LsTrk.Regions.GetNearFieldMask(this.LsTrk.NearRegionWidth));
break;
}
case NavierSlip_Localization.Prescribed: {
throw new NotImplementedException();
}
default:
throw new ArgumentException();
}
MultidimensionalArray SlipLengths;
SlipLengths = this.LsTrk.GridDat.Cells.h_min.CloneAs();
SlipLengths.Clear();
//SlipLengths.AccConstant(-1.0);
if (SlipArea != null)
{
foreach (Chunk cnk in SlipArea)
{
for (int i = cnk.i0; i < cnk.JE; i++)
{
switch (this.dntParams.GNBC_SlipLength)
{
case NavierSlip_SlipLength.hmin_DG: {
int degU = ColMapping.BasisS.ToArray()[0].Degree;
SlipLengths[i] = this.LsTrk.GridDat.Cells.h_min[i] / (degU + 1);
break;
}
case NavierSlip_SlipLength.hmin_Grid: {
SlipLengths[i] = SlipLengths[i] = this.LsTrk.GridDat.Cells.h_min[i];
break;
}
case NavierSlip_SlipLength.Prescribed_SlipLength: {
SlipLengths[i] = this.physParams.sliplength;
break;
}
case NavierSlip_SlipLength.Prescribed_Beta: {
SlipLengths[i] = -1.0;
break;
}
}
}
}
}
// parameter assembly
// ==================
// normals:
SinglePhaseField[] Normals; // Normal vectors: length not normalized - will be normalized at each quad node within the flux functions.
if (this.NormalsRequired)
{
if (LevelSetGradient == null)
{
LevelSetGradient = new VectorField <SinglePhaseField>(D, Phi.Basis, SinglePhaseField.Factory);
LevelSetGradient.Gradient(1.0, Phi);
}
Normals = LevelSetGradient.ToArray();
}
else
{
Normals = new SinglePhaseField[D];
}
// curvature:
SinglePhaseField Curvature;
if (this.CurvatureRequired)
{
Curvature = ExternalyProvidedCurvature;
}
else
{
Curvature = null;
}
// linearization velocity:
DGField[] U0_U0mean;
if (this.U0meanrequired)
{
XDGBasis U0meanBasis = new XDGBasis(Tracker, 0);
VectorField <XDGField> U0mean = new VectorField <XDGField>(D, U0meanBasis, "U0mean_", XDGField.Factory);
U0_U0mean = ArrayTools.Cat <DGField>(U0, U0mean);
}
else
{
U0_U0mean = new DGField[2 * D];
}
// Temperature gradient for evaporation
VectorField <DGField> GradTemp = new VectorField <DGField>(D, U0[0].Basis, XDGField.Factory);
if (CoupledCurrentState != null)
{
DGField Temp = CoupledCurrentState.ToArray()[0];
GradTemp = new VectorField <DGField>(D, Temp.Basis, "GradTemp", XDGField.Factory);
XNSEUtils.ComputeGradientForParam(Temp, GradTemp, this.LsTrk);
}
// concatenate everything
var Params = ArrayTools.Cat <DGField>(
U0_U0mean,
Curvature,
((SurfaceForce != null) ? SurfaceForce.ToArray() : new SinglePhaseField[D]),
Normals,
((evaporation) ? GradTemp.ToArray() : new SinglePhaseField[D]),
((evaporation) ? CoupledCurrentState.ToArray <DGField>() : new SinglePhaseField[1]),
((evaporation) ? CoupledParams.ToArray <DGField>() : new SinglePhaseField[1])); //((evaporation) ? GradTemp.ToArray() : new SinglePhaseField[D]));
// linearization velocity:
if (this.U0meanrequired)
{
VectorField <XDGField> U0mean = new VectorField <XDGField>(U0_U0mean.Skip(D).Take(D).Select(f => ((XDGField)f)).ToArray());
U0mean.Clear();
if (this.physParams.IncludeConvection)
{
ComputeAverageU(U0, U0mean, CutCellQuadOrder, LsTrk.GetXDGSpaceMetrics(SpcToCompute, CutCellQuadOrder, 1).XQuadSchemeHelper);
}
}
// assemble the matrix & affine vector
// ===================================
// compute matrix
if (OpMatrix != null)
{
//Op.ComputeMatrixEx(Tracker,
// ColMapping, Params, RowMapping,
// OpMatrix, OpAffine, false, time, true,
// AgglomeratedCellLengthScales,
// InterfaceLengths, SlipLengths,
// SpcToCompute);
XSpatialOperatorMk2.XEvaluatorLinear mtxBuilder = Op.GetMatrixBuilder(LsTrk, ColMapping, Params, RowMapping, SpcToCompute);
foreach (var kv in AgglomeratedCellLengthScales)
{
mtxBuilder.SpeciesOperatorCoefficients[kv.Key].CellLengthScales = kv.Value;
mtxBuilder.SpeciesOperatorCoefficients[kv.Key].UserDefinedValues.Add("SlipLengths", SlipLengths);
}
if (Op.SurfaceElementOperator.TotalNoOfComponents > 0)
{
foreach (var kv in InterfaceLengths)
{
mtxBuilder.SpeciesOperatorCoefficients[kv.Key].UserDefinedValues.Add("InterfaceLengths", kv.Value);
}
}
mtxBuilder.time = time;
mtxBuilder.ComputeMatrix(OpMatrix, OpAffine);
}
else
{
XSpatialOperatorMk2.XEvaluatorNonlin eval = Op.GetEvaluatorEx(Tracker,
CurrentState.ToArray(), Params, RowMapping,
SpcToCompute);
foreach (var kv in AgglomeratedCellLengthScales)
{
eval.SpeciesOperatorCoefficients[kv.Key].CellLengthScales = kv.Value;
eval.SpeciesOperatorCoefficients[kv.Key].UserDefinedValues.Add("SlipLengths", SlipLengths);
}
if (Op.SurfaceElementOperator.TotalNoOfComponents > 0)
{
foreach (var kv in InterfaceLengths)
{
eval.SpeciesOperatorCoefficients[kv.Key].UserDefinedValues.Add("InterfaceLengths", kv.Value);
}
}
eval.time = time;
eval.Evaluate(1.0, 1.0, OpAffine);
#if DEBUG
// remark: remove this piece in a few months from now on (09may18) if no problems occur
//{
// BlockMsrMatrix checkOpMatrix = new BlockMsrMatrix(RowMapping, ColMapping);
// double[] checkAffine = new double[OpAffine.Length];
// Op.ComputeMatrixEx(Tracker,
// ColMapping, Params, RowMapping,
// OpMatrix, OpAffine, false, time, true,
// AgglomeratedCellLengthScales,
// InterfaceLengths, SlipLengths,
// SpcToCompute);
// double[] checkResult = checkAffine.CloneAs();
// var currentVec = new CoordinateVector(CurrentState.ToArray());
// checkOpMatrix.SpMV(1.0, new CoordinateVector(CurrentState.ToArray()), 1.0, checkResult);
// double L2_dist = GenericBlas.L2DistPow2(checkResult, OpAffine).MPISum().Sqrt();
// double RefNorm = (new double[] { checkResult.L2NormPow2(), OpAffine.L2NormPow2(), currentVec.L2NormPow2() }).MPISum().Max().Sqrt();
// Assert.LessOrEqual(L2_dist, RefNorm * 1.0e-6);
// Debug.Assert(L2_dist < RefNorm * 1.0e-6);
//}
#endif
}
// check
// =====
/*
* {
* DGField[] testDomainFieldS = ColMapping.BasisS.Select(bb => new XDGField(bb as XDGBasis)).ToArray();
* CoordinateVector test = new CoordinateVector(testDomainFieldS);
*
* DGField[] errFieldS = ColMapping.BasisS.Select(bb => new XDGField(bb as XDGBasis)).ToArray();
* CoordinateVector Err = new CoordinateVector(errFieldS);
*
* var eval = Op.GetEvaluatorEx(LsTrk,
* testDomainFieldS, Params, RowMapping);
*
* foreach (var s in this.LsTrk.SpeciesIdS)
* eval.SpeciesOperatorCoefficients[s].CellLengthScales = AgglomeratedCellLengthScales[s];
*
* eval.time = time;
* int L = test.Count;
* Random r = new Random();
* for(int i = 0; i < L; i++) {
* test[i] = r.NextDouble();
* }
*
*
*
* double[] R1 = new double[L];
* double[] R2 = new double[L];
* eval.Evaluate(1.0, 1.0, R1);
*
* R2.AccV(1.0, OpAffine);
* OpMatrix.SpMV(1.0, test, 1.0, R2);
*
* Err.AccV(+1.0, R1);
* Err.AccV(-1.0, R2);
*
* double ErrDist = GenericBlas.L2DistPow2(R1, R2).MPISum().Sqrt();
*
* double Ref = test.L2NormPow2().MPISum().Sqrt();
*
* Debug.Assert(ErrDist <= Ref*1.0e-5, "Mismatch between explicit evaluation of XDG operator and matrix.");
* }
*/
}
/// <summary>
///
/// </summary>
/// <typeparam name="T"></typeparam>
/// <param name="OpMatrix"></param>
/// <param name="OpAffine"></param>
/// <param name="RowMapping"></param>
/// <param name="ColMapping"></param>
/// <param name="CurrentState"></param>
/// <param name="AgglomeratedCellLengthScales"></param>
/// <param name="time"></param>
/// <param name="CutCellQuadOrder"></param>
/// <param name="SurfaceForce"></param>
/// <param name="LevelSetGradient"></param>
/// <param name="ExternalyProvidedCurvature"></param>
public void AssembleMatrix <T>(BlockMsrMatrix OpMatrix, double[] OpAffine,
UnsetteledCoordinateMapping RowMapping, UnsetteledCoordinateMapping ColMapping,
IEnumerable <T> CurrentState, Dictionary <SpeciesId, MultidimensionalArray> AgglomeratedCellLengthScales, double time,
int CutCellQuadOrder, VectorField <SinglePhaseField> SurfaceForce,
VectorField <SinglePhaseField> LevelSetGradient, SinglePhaseField ExternalyProvidedCurvature,
IEnumerable <T> CoupledCurrentState = null, IEnumerable <T> CoupledParams = null) where T : DGField
{
// checks:
if (ColMapping.BasisS.Count != this.m_XOp.DomainVar.Count)
{
throw new ArgumentException();
}
if (RowMapping.BasisS.Count != this.m_XOp.CodomainVar.Count)
{
throw new ArgumentException();
}
int D = this.LsTrk.GridDat.SpatialDimension;
if (CurrentState != null && CurrentState.Count() != (D + 1))
{
throw new ArgumentException();
}
if (OpMatrix == null && CurrentState == null)
{
throw new ArgumentException();
}
DGField[] U0;
if (CurrentState != null)
{
U0 = CurrentState.Take(D).ToArray();
}
else
{
U0 = null;
}
// advanced settings for the navier slip boundary condition
// ========================================================
CellMask SlipArea;
switch (this.dntParams.GNBC_Localization)
{
case NavierSlip_Localization.Bulk: {
SlipArea = this.LsTrk.GridDat.BoundaryCells.VolumeMask;
break;
}
case NavierSlip_Localization.ContactLine: {
SlipArea = null;
break;
}
case NavierSlip_Localization.Nearband: {
SlipArea = this.LsTrk.GridDat.BoundaryCells.VolumeMask.Intersect(this.LsTrk.Regions.GetNearFieldMask(this.LsTrk.NearRegionWidth));
break;
}
case NavierSlip_Localization.Prescribed: {
throw new NotImplementedException();
}
default:
throw new ArgumentException();
}
MultidimensionalArray SlipLengths;
SlipLengths = this.LsTrk.GridDat.Cells.h_min.CloneAs();
SlipLengths.Clear();
//SlipLengths.AccConstant(-1.0);
if (SlipArea != null)
{
foreach (Chunk cnk in SlipArea)
{
for (int i = cnk.i0; i < cnk.JE; i++)
{
switch (this.dntParams.GNBC_SlipLength)
{
case NavierSlip_SlipLength.hmin_DG: {
int degU = ColMapping.BasisS.ToArray()[0].Degree;
SlipLengths[i] = this.LsTrk.GridDat.Cells.h_min[i] / (degU + 1);
break;
}
case NavierSlip_SlipLength.hmin_Grid: {
SlipLengths[i] = SlipLengths[i] = this.LsTrk.GridDat.Cells.h_min[i];
break;
}
case NavierSlip_SlipLength.Prescribed_SlipLength: {
SlipLengths[i] = this.physParams.sliplength;
break;
}
case NavierSlip_SlipLength.Prescribed_Beta: {
SlipLengths[i] = -1.0;
break;
}
}
}
}
}
// parameter assembly
// ==================
LevelSet Phi = (LevelSet)(this.LsTrk.LevelSets[0]);
SpeciesId[] SpcToCompute = AgglomeratedCellLengthScales.Keys.ToArray();
// normals:
SinglePhaseField[] Normals; // Normal vectors: length not normalized - will be normalized at each quad node within the flux functions.
if (this.NormalsRequired)
{
if (LevelSetGradient == null)
{
LevelSetGradient = new VectorField <SinglePhaseField>(D, Phi.Basis, SinglePhaseField.Factory);
LevelSetGradient.Gradient(1.0, Phi);
}
Normals = LevelSetGradient.ToArray();
}
else
{
Normals = new SinglePhaseField[D];
}
// curvature:
SinglePhaseField Curvature;
if (this.CurvatureRequired)
{
Curvature = ExternalyProvidedCurvature;
}
else
{
Curvature = null;
}
// linearization velocity:
DGField[] U0_U0mean;
if (this.U0meanrequired)
{
XDGBasis U0meanBasis = new XDGBasis(this.LsTrk, 0);
VectorField <XDGField> U0mean = new VectorField <XDGField>(D, U0meanBasis, "U0mean_", XDGField.Factory);
U0_U0mean = ArrayTools.Cat <DGField>(U0, U0mean);
}
else
{
U0_U0mean = new DGField[2 * D];
}
// Temperature gradient for evaporation
VectorField <DGField> GradTemp = new VectorField <DGField>(D, new XDGBasis(LsTrk, 0), XDGField.Factory);
if (CoupledCurrentState != null)
{
DGField Temp = CoupledCurrentState.ToArray()[0];
GradTemp = new VectorField <DGField>(D, Temp.Basis, "GradTemp", XDGField.Factory);
XNSEUtils.ComputeGradientForParam(Temp, GradTemp, this.LsTrk);
}
// concatenate everything
var Params = ArrayTools.Cat <DGField>(
U0_U0mean,
Curvature,
((SurfaceForce != null) ? SurfaceForce.ToArray() : new SinglePhaseField[D]),
Normals,
((CoupledCurrentState != null) ? GradTemp.ToArray() : new SinglePhaseField[D]),
((CoupledCurrentState != null) ? CoupledCurrentState.ToArray <DGField>() : new SinglePhaseField[1]),
((CoupledCurrentState != null) ? CoupledParams.ToArray <DGField>() : new SinglePhaseField[1])); //((evaporation) ? GradTemp.ToArray() : new SinglePhaseField[D]));
// linearization velocity:
if (this.U0meanrequired)
{
VectorField <XDGField> U0mean = new VectorField <XDGField>(U0_U0mean.Skip(D).Take(D).Select(f => ((XDGField)f)).ToArray());
U0mean.Clear();
if (this.physParams.IncludeConvection)
{
ComputeAverageU(U0, U0mean, CutCellQuadOrder, LsTrk.GetXDGSpaceMetrics(SpcToCompute, CutCellQuadOrder, 1).XQuadSchemeHelper);
}
}
// assemble the matrix & affine vector
// ===================================
IDictionary <SpeciesId, MultidimensionalArray> InterfaceLengths = this.LsTrk.GetXDGSpaceMetrics(this.LsTrk.SpeciesIdS.ToArray(), CutCellQuadOrder).CutCellMetrics.InterfaceArea;
// compute matrix
if (OpMatrix != null)
{
XSpatialOperatorMk2.XEvaluatorLinear mtxBuilder = this.m_XOp.GetMatrixBuilder(LsTrk, ColMapping, Params, RowMapping, SpcToCompute);
foreach (var kv in AgglomeratedCellLengthScales)
{
mtxBuilder.SpeciesOperatorCoefficients[kv.Key].CellLengthScales = kv.Value;
mtxBuilder.SpeciesOperatorCoefficients[kv.Key].UserDefinedValues.Add("SlipLengths", SlipLengths);
}
if (this.m_XOp.SurfaceElementOperator.TotalNoOfComponents > 0)
{
foreach (var kv in InterfaceLengths)
{
mtxBuilder.SpeciesOperatorCoefficients[kv.Key].UserDefinedValues.Add("InterfaceLengths", kv.Value);
}
}
mtxBuilder.time = time;
mtxBuilder.ComputeMatrix(OpMatrix, OpAffine);
}
else
{
XSpatialOperatorMk2.XEvaluatorNonlin eval = this.m_XOp.GetEvaluatorEx(this.LsTrk,
CurrentState.ToArray(), Params, RowMapping,
SpcToCompute);
foreach (var kv in AgglomeratedCellLengthScales)
{
eval.SpeciesOperatorCoefficients[kv.Key].CellLengthScales = kv.Value;
eval.SpeciesOperatorCoefficients[kv.Key].UserDefinedValues.Add("SlipLengths", SlipLengths);
}
if (this.m_XOp.SurfaceElementOperator.TotalNoOfComponents > 0)
{
foreach (var kv in InterfaceLengths)
{
eval.SpeciesOperatorCoefficients[kv.Key].UserDefinedValues.Add("InterfaceLengths", kv.Value);
}
}
eval.time = time;
eval.Evaluate(1.0, 1.0, OpAffine);
}
}