/// <summary>
///
/// </summary>
/// <param name="PrecondMassMatrix">
/// No scaling, but with agglomeration -- used to compute the DG basis of the preconditioner
/// </param>
/// <param name="ScaledMassMatrix">
/// No agglomeration, but with <see cref="XdgTimesteppingBase.Config_MassScale"/> applied.
/// </param>
/// <param name="time"></param>
void UpdateMassMatrix(out BlockMsrMatrix PrecondMassMatrix, out BlockMsrMatrix ScaledMassMatrix, double time)
{
if (this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsIdentity)
{
// may occur e.g. if one runs the FSI solver as a pure single-phase solver,
// i.e. if the Level-Set is outside the domain.
ScaledMassMatrix = null;
PrecondMassMatrix = null;
}
else
{
// checks:
Debug.Assert(this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsNonIdentity ||
this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsTimeDependent ||
this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsTimeAndSolutionDependent,
"Something is not implemented here.");
if (this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsNonIdentity &&
Config_LevelSetHandling != LevelSetHandling.None)
{
throw new NotSupportedException("Illegal configuration;");
}
if ((this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsNonIdentity) ||
(this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsTimeDependent) ||
(this.Config_MassMatrixShapeandDependence == MassMatrixShapeandDependence.IsTimeAndSolutionDependent)
)
{
//MassMatrixFactory MassFact = new MassMatrixFactory(CurrentStateMapping.BasisS.ElementAtMax(b => b.Degree), m_CurrentAgglomeration);
MassMatrixFactory MassFact = m_LsTrk.GetXDGSpaceMetrics(Config_SpeciesToCompute, Config_CutCellQuadratureOrder, 1).MassMatrixFactory;
PrecondMassMatrix = MassFact.GetMassMatrix(CurrentStateMapping, false);
m_CurrentAgglomeration.ManipulateMatrixAndRHS(PrecondMassMatrix, default(double[]), CurrentStateMapping, CurrentStateMapping);
ScaledMassMatrix = new BlockMsrMatrix(CurrentStateMapping);
int NF = this.CurrentStateMapping.Fields.Count;
//MassFact.AccMassMatrix(ScaledMassMatrix, CurrentStateMapping, _alpha: Config_MassScale);
base.ComputeMassMatrixImpl(ScaledMassMatrix, time);
}
else
{
throw new NotSupportedException();
}
}
}
protected void ComputeMassMatrixImpl(BlockMsrMatrix MassMatrix, double time)
{
if (!MassMatrix._RowPartitioning.EqualsPartition(CurrentStateMapping))
{
throw new ArgumentException("Internal error.");
}
if (!MassMatrix._ColPartitioning.EqualsPartition(CurrentStateMapping))
{
throw new ArgumentException("Internal error.");
}
if (ComputeMassMatrix == null)
{
// ++++++++++++++
// default branch
// ++++++++++++++
MassMatrixFactory MassFact = m_LsTrk.GetXDGSpaceMetrics(this.Config_SpeciesToCompute, this.Config_CutCellQuadratureOrder).MassMatrixFactory;
MassFact.AccMassMatrix(MassMatrix, CurrentStateMapping, _alpha: Config_MassScale);
}
else
{
ComputeMassMatrix(MassMatrix, CurrentStateMapping, CurrentStateMapping.Fields.ToArray(), time);
}
}
private void AssembleMatrix(double MU_A, double MU_B, out BlockMsrMatrix M, out double[] b, out MultiphaseCellAgglomerator agg, out MassMatrixFactory massFact)
{
using (var tr = new FuncTrace()) {
// create operator
// ===============
if (this.Control.SetDefaultDiriBndCnd)
{
this.Control.xLaplaceBCs.g_Diri = ((CommonParamsBnd inp) => 0.0);
this.Control.xLaplaceBCs.IsDirichlet = (inp => true);
}
double D = this.GridData.SpatialDimension;
int p = u.Basis.Degree;
double penalty_base = (p + 1) * (p + D) / D;
double penalty_multiplyer = base.Control.penalty_multiplyer;
XQuadFactoryHelper.MomentFittingVariants momentFittingVariant;
if (D == 3)
{
momentFittingVariant = XQuadFactoryHelper.MomentFittingVariants.Classic;
}
momentFittingVariant = this.Control.CutCellQuadratureType;
int order = this.u.Basis.Degree * 2;
XSpatialOperator Op = new XSpatialOperator(1, 1, (A, B, C) => order, "u", "c1");
var lengthScales = ((BoSSS.Foundation.Grid.Classic.GridData)GridData).Cells.PenaltyLengthScales;
var lap = new XLaplace_Bulk(this.LsTrk, penalty_multiplyer * penalty_base, "u", this.Control.xLaplaceBCs, 1.0, MU_A, MU_B, lengthScales, this.Control.ViscosityMode);
Op.EquationComponents["c1"].Add(lap); // Bulk form
Op.EquationComponents["c1"].Add(new XLaplace_Interface(this.LsTrk, MU_A, MU_B, penalty_base * 2, this.Control.ViscosityMode)); // coupling form
Op.Commit();
// create agglomeration
// ====================
var map = new UnsetteledCoordinateMapping(u.Basis);
//agg = new MultiphaseCellAgglomerator(
// new CutCellMetrics(momentFittingVariant,
// QuadOrderFunc.SumOfMaxDegrees(RoundUp: true)(map.BasisS.Select(bs => bs.Degree).ToArray(), new int[0], map.BasisS.Select(bs => bs.Degree).ToArray()),
// //this.HMFDegree,
// LsTrk, this.LsTrk.SpeciesIdS.ToArray()),
// this.Control.AgglomerationThreshold, false);
agg = LsTrk.GetAgglomerator(this.LsTrk.SpeciesIdS.ToArray(), order, this.Control.AgglomerationThreshold);
// compute matrix
// =============
using (new BlockTrace("XdgMatrixAssembly", tr)) {
M = new BlockMsrMatrix(map, map);
b = new double[M.RowPartitioning.LocalLength];
Op.ComputeMatrixEx(LsTrk,
map, null, map,
M, b, false, 0.0, true,
agg.CellLengthScales, null, null, //out massFact,
this.LsTrk.SpeciesIdS.ToArray());
}
// compare with linear evaluation
// ==============================
DGField[] testDomainFieldS = map.BasisS.Select(bb => new XDGField(bb as XDGBasis)).ToArray();
CoordinateVector test = new CoordinateVector(testDomainFieldS);
DGField[] errFieldS = map.BasisS.Select(bb => new XDGField(bb as XDGBasis)).ToArray();
CoordinateVector Err = new CoordinateVector(errFieldS);
var eval = Op.GetEvaluatorEx(LsTrk,
testDomainFieldS, null, map);
foreach (var s in this.LsTrk.SpeciesIdS)
{
eval.SpeciesOperatorCoefficients[s].CellLengthScales = agg.CellLengthScales[s];
}
eval.time = 0.0;
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, b);
M.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();
Assert.LessOrEqual(ErrDist, Ref * 1.0e-5, "Mismatch between explicit evaluation of XDG operator and matrix.");
// agglomeration wahnsinn
// ======================
agg.ManipulateMatrixAndRHS(M, b, map, map);
foreach (var S in this.LsTrk.SpeciesNames)
{
Console.WriteLine(" Species {0}: no of agglomerated cells: {1}",
S, agg.GetAgglomerator(this.LsTrk.GetSpeciesId(S)).AggInfo.SourceCells.NoOfItemsLocally);
}
// mass matrix factory
// ===================
Basis maxB = map.BasisS.ElementAtMax(bss => bss.Degree);
//massFact = new MassMatrixFactory(maxB, agg);
massFact = LsTrk.GetXDGSpaceMetrics(this.LsTrk.SpeciesIdS.ToArray(), order).MassMatrixFactory;
}
}
