/// <summary>
/// Includes assembly of the matrix.
/// </summary>
/// <param name="L"></param>
protected override void CreateEquationsAndSolvers(GridUpdateDataVaultBase L) {
using (FuncTrace tr = new FuncTrace()) {
// create operator
// ===============
{
double D = this.GridData.SpatialDimension;
double penalty_base = (T.Basis.Degree + 1) * (T.Basis.Degree + D) / D;
double penalty_factor = base.Control.penalty_poisson;
BoundaryCondMap<BoundaryType> PoissonBcMap = new BoundaryCondMap<BoundaryType>(this.GridData, this.Control.BoundaryValues, "T");
LapaceIp = new SpatialOperator(1, 1, QuadOrderFunc.SumOfMaxDegrees(), "T", "T");
var flux = new ipFlux(penalty_base * base.Control.penalty_poisson, ((GridData)(this.GridData)).Cells.cj, PoissonBcMap);
LapaceIp.EquationComponents["T"].Add(flux);
LapaceIp.Commit();
}
//double condNo = LaplaceMtx.condest(BatchmodeConnector.Flavor.Octave);
//Console.WriteLine("condition number: {0:0.####E-00} ",condNo);
}
}
///// <summary>
///// Mapping from edge tags to boundary values.<br/>
///// 1st index: edge tag;<br/>
///// 2nd index: spatial direction
///// </summary>
//protected Func<double[], double, double>[,] velFunction;
public ConstitutiveEqns_Convective(int _Component, BoundaryCondMap <IncompressibleBcType> _BcMap, double Weissenberg, double alpha = 1.0)
{
Component = _Component;
this.m_BcMap = _BcMap;
this.m_Weissenberg = Weissenberg;
this.m_alpha = alpha;
StressFunction = new Func <double[], double, double> [GridCommons.FIRST_PERIODIC_BC_TAG, 2, 2];
var stressXXfuncS = m_BcMap.bndFunction[VariableNames.StressXX];
var stressXYfuncS = m_BcMap.bndFunction[VariableNames.StressXY];
var stressYYfuncS = m_BcMap.bndFunction[VariableNames.StressYY];
for (int et = 0; et < GridCommons.FIRST_PERIODIC_BC_TAG; et++)
{
StressFunction[et, 0, 0] = stressXXfuncS[et];
StressFunction[et, 1, 0] = stressXYfuncS[et];
StressFunction[et, 0, 1] = stressXYfuncS[et];
StressFunction[et, 1, 1] = stressYYfuncS[et];
}
//velFunction = new Func<double[], double, double>[GridCommons.FIRST_PERIODIC_BC_TAG, 2];
//for (int d = 0; d < 2; d++)
// velFunction.SetColumn(m_BcMap.bndFunction[VariableNames.Velocity_d(d)], d);
}
public XOptimizedLaplacianArtificialViscosityFlux(BoundaryCondMap <XDGHeatBcType> boundaryCondMap, LevelSetTracker levelSetTracker, string ArgumentVarName, double penaltySafetyFactor, double penaltyFactor, Dictionary <SpeciesId, MultidimensionalArray> inverseLengthScales)
{
this.GridData = levelSetTracker.GridDat;
this.ArgumentName = ArgumentVarName;
this.boundaryCondMap = boundaryCondMap;
// Calculate penalties
CellMask cutCells = levelSetTracker.Regions.GetCutCellMask();
CellMask speciesAWithOutCutCells = levelSetTracker.Regions.GetSpeciesMask("A").Except(cutCells);
CellMask speciesBWithOutCutCells = levelSetTracker.Regions.GetSpeciesMask("B").Except(cutCells);
double[] lengthScales_A = inverseLengthScales[levelSetTracker.GetSpeciesId("A")].To1DArray();
double[] lengthScales_B = inverseLengthScales[levelSetTracker.GetSpeciesId("B")].To1DArray();
this.penalties = new double[lengthScales_A.Length];
foreach (int cell in speciesAWithOutCutCells.ItemEnum)
{
this.penalties[cell] = penaltySafetyFactor * penaltyFactor * lengthScales_A[cell];
}
foreach (int cell in speciesBWithOutCutCells.ItemEnum)
{
this.penalties[cell] = penaltySafetyFactor * penaltyFactor * lengthScales_B[cell];
}
foreach (int cell in cutCells.ItemEnum)
{
this.penalties[cell] = double.NaN;
}
}
public ConstitutiveEqns_Objective_withGrad(int Component, BoundaryCondMap <IncompressibleBcType> _BcMap, double Weissenberg, double ObjectiveParam)
{
this.Component = Component;
this.m_BcMap = _BcMap;
this.m_Weissenberg = Weissenberg;
this.m_ObjectiveParam = ObjectiveParam;
}
/// <summary>
/// Initialize objective
/// </summary>
public ConstitutiveEqns_Objective(int Component, BoundaryCondMap <IncompressibleBcType> _BcMap, double Weissenberg, double ObjectiveParam, double Penalty)
{
this.Component = Component;
this.m_BcMap = _BcMap;
this.m_Weissenberg = Weissenberg;
this.m_ObjectiveParam = ObjectiveParam;
this.m_StressPenalty = Penalty;
}
/// <summary>
/// Initialize objective
/// </summary>
public ConstitutiveEqns_Objective(int Component, BoundaryCondMap <IncompressibleBcType> _BcMap, double Weissenberg, double Penalty, bool UseFDJacobian)
{
this.Component = Component;
this.m_BcMap = _BcMap;
this.m_Weissenberg = Weissenberg;
this.m_StressPenalty = Penalty;
this.m_useFDJacobian = UseFDJacobian;
}
public mu_Diffusion(int D, double penalty_const, MultidimensionalArray cj, double __cahn, BoundaryCondMap <BoundaryType> __boundaryCondMap)
: base(penalty_const, cj, "phi") // note: in the equation for 'mu', we have the Laplacian of 'phi'
{
m_D = D;
m_cahn = __cahn * __cahn;
m_boundaryCondMap = __boundaryCondMap;
m_bndFunc = m_boundaryCondMap.bndFunction["phi"];
}
public phi_Diffusion(int D, double penalty_const, MultidimensionalArray cj, double __diff, double __lambda, BoundaryCondMap <BoundaryType> __boundaryCondMap)
: base(penalty_const, cj, "mu") // note: in the equation for 'phi', we have the Laplacian of 'mu'
{
m_D = D;
m_diff = __diff;
m_boundaryCondMap = __boundaryCondMap;
m_lambda = __lambda;
}
public VelocityGradXX(int Component, BoundaryCondMap <IncompressibleBcType> _BcMap)
{
this.Component = Component;
this.m_BcMap = _BcMap;
VelFunction = new Func <double[], double, double> [GridCommons.FIRST_PERIODIC_BC_TAG, 2];
VelFunction.SetColumn(m_BcMap.bndFunction[VariableNames.VelocityX], 0);
VelFunction.SetColumn(m_BcMap.bndFunction[VariableNames.VelocityY], 1);
}
public ConstitutiveEqns_Viscosity(int Component, BoundaryCondMap <IncompressibleBcType> _BcMap, double beta, double[] Penalty1)
{
this.Component = Component;
this.m_BcMap = _BcMap;
this.m_ViscosityNonNewton = 1.0 - beta;
this.pen1 = Penalty1;
VelFunction = new Func <double[], double, double> [GridCommons.FIRST_PERIODIC_BC_TAG, 2];
VelFunction.SetColumn(m_BcMap.bndFunction[VariableNames.VelocityX], 0);
VelFunction.SetColumn(m_BcMap.bndFunction[VariableNames.VelocityY], 1);
}
public VelocityGrad_SU(int Component, BoundaryCondMap <IncompressibleBcType> _BcMap)
{
this.Component = Component;
this.m_BcMap = _BcMap;
velFunction = new Func <double[], double, double> [GridCommons.FIRST_PERIODIC_BC_TAG, 2];
for (int d = 0; d < 2; d++)
{
velFunction.SetColumn(m_BcMap.bndFunction[VariableNames.Velocity_d(d)], d);
}
}
/// <summary>
/// Ctor.
/// </summary>
/// <param name="SpatDimension"></param>
/// <param name="EoS"></param>
/// <param name="bcmap"></param>
public CoupledLaxFriedrichsScalar(int SpatDimension, MaterialLaw EoS, IncompressibleBoundaryCondMap bcmap)
{
this.SpatDimension = SpatDimension;
this.EoS = EoS;
this.bcmap = bcmap;
velFunction = new Func <double[], double, double> [GridCommons.FIRST_PERIODIC_BC_TAG, SpatDimension];
for (int d = 0; d < SpatDimension; d++)
{
velFunction.SetColumn(bcmap.bndFunction[VariableNames.Velocity_d(d)], d);
}
scalarFunction = bcmap.bndFunction[VariableNames.LevelSet];
}
public ConstitutiveEqns_Convective_FluxDiff(int Component, BoundaryCondMap <IncompressibleBcType> _BcMap, double Weissenberg, double alpha)
{
this.Component = Component;
this.m_BcMap = _BcMap;
this.m_Weissenberg = Weissenberg;
this.m_alpha = 0.5; // alpha;
StressFunction = new Func <double[], double, double> [GridCommons.FIRST_PERIODIC_BC_TAG, 3];
StressFunction.SetColumn(m_BcMap.bndFunction[VariableNames.StressXX], 0);
StressFunction.SetColumn(m_BcMap.bndFunction[VariableNames.StressXY], 1);
StressFunction.SetColumn(m_BcMap.bndFunction[VariableNames.StressYY], 2);
velFunction = new Func <double[], double, double> [GridCommons.FIRST_PERIODIC_BC_TAG, 2];
for (int d = 0; d < 2; d++)
{
velFunction.SetColumn(m_BcMap.bndFunction[VariableNames.Velocity_d(d)], d);
}
}
public StressDivergence_Burman(int Component, BoundaryCondMap <IncompressibleBcType> _BcMap, double Reynolds, double[] Penalty1, double Penalty2)
{
this.Component = Component;
this.m_BcMap = _BcMap;
this.InverseReynolds = -1 / (Reynolds);
this.pen1 = Penalty1;
this.pen2 = Penalty2;
StressFunction = new Func <double[], double, double> [GridCommons.FIRST_PERIODIC_BC_TAG, 3];
StressFunction.SetColumn(m_BcMap.bndFunction[VariableNames.StressXX], 0);
StressFunction.SetColumn(m_BcMap.bndFunction[VariableNames.StressXY], 1);
StressFunction.SetColumn(m_BcMap.bndFunction[VariableNames.StressYY], 2);
VelFunction = new Func <double[], double, double> [GridCommons.FIRST_PERIODIC_BC_TAG, 2];
VelFunction.SetColumn(m_BcMap.bndFunction[VariableNames.VelocityX], 0);
VelFunction.SetColumn(m_BcMap.bndFunction[VariableNames.VelocityY], 1);
}
/// <summary>
/// Includes assembly of the matrix.
/// </summary>
/// <param name="L"></param>
protected override void CreateEquationsAndSolvers(GridUpdateDataVaultBase L)
{
using (FuncTrace tr = new FuncTrace()) {
// create operator
// ===============
{
double D = this.GridData.SpatialDimension;
double penalty_base = (T.Basis.Degree + 1) * (T.Basis.Degree + D) / D;
double penalty_factor = base.Control.penalty_poisson;
BoundaryCondMap <BoundaryType> PoissonBcMap = new BoundaryCondMap <BoundaryType>(this.GridData, this.Control.BoundaryValues, "T");
LapaceIp = new SpatialOperator(1, 1, QuadOrderFunc.SumOfMaxDegrees(), "T", "T");
MultidimensionalArray LengthScales;
if (this.GridData is GridData)
{
LengthScales = ((GridData)GridData).Cells.cj;
}
else if (this.GridData is AggregationGridData)
{
LengthScales = ((AggregationGridData)GridData).AncestorGrid.Cells.cj;
}
else
{
throw new NotImplementedException();
}
var flux = new ipFlux(penalty_base * base.Control.penalty_poisson, LengthScales, PoissonBcMap);
LapaceIp.EquationComponents["T"].Add(flux);
LapaceIp.Commit();
}
}
}
/// <summary>
/// Includes assembly of the matrix.
/// </summary>
/// <param name="L"></param>
protected override void CreateEquationsAndSolvers(GridUpdateDataVaultBase L)
{
using (FuncTrace tr = new FuncTrace()) {
// create operator
// ===============
SpatialOperator LapaceIp;
{
double D = this.GridData.SpatialDimension;
double penalty_base = (T.Basis.Degree + 1) * (T.Basis.Degree + D) / D;
double penalty_factor = base.Control.penalty_poisson;
BoundaryCondMap <BoundaryType> PoissonBcMap = new BoundaryCondMap <BoundaryType>(this.GridData, this.Control.BoundaryValues, "T");
LapaceIp = new SpatialOperator(1, 1, QuadOrderFunc.SumOfMaxDegrees(), "T", "T");
var flux = new ipFlux(penalty_base * base.Control.penalty_poisson, this.GridData.Cells.cj, PoissonBcMap);
LapaceIp.EquationComponents["T"].Add(flux);
LapaceIp.Commit();
}
// Create Matrices
// ===============
{
// time measurement for matrix assembly
Stopwatch stw = new Stopwatch();
stw.Start();
// console
Console.WriteLine("creating sparse system for {0} DOF's ...", T.Mapping.Ntotal);
// quadrature domain
var volQrSch = new CellQuadratureScheme(true, CellMask.GetFullMask(this.GridData));
var edgQrSch = new EdgeQuadratureScheme(true, EdgeMask.GetFullMask(this.GridData));
#if DEBUG
// in DEBUG mode, we compare 'MsrMatrix' (old, reference implementation) and 'BlockMsrMatrix' (new standard)
var RefLaplaceMtx = new MsrMatrix(T.Mapping);
#endif
using (new BlockTrace("SipMatrixAssembly", tr)) {
LaplaceMtx = new BlockMsrMatrix(T.Mapping);
LaplaceAffine = new double[T.Mapping.LocalLength];
LapaceIp.ComputeMatrixEx(T.Mapping, null, T.Mapping,
LaplaceMtx, LaplaceAffine,
volQuadScheme: volQrSch, edgeQuadScheme: edgQrSch);
}
#if DEBUG
LaplaceAffine.ClearEntries();
LapaceIp.ComputeMatrixEx(T.Mapping, null, T.Mapping,
RefLaplaceMtx, LaplaceAffine,
volQuadScheme: volQrSch, edgeQuadScheme: edgQrSch);
MsrMatrix ErrMtx = RefLaplaceMtx.CloneAs();
ErrMtx.Acc(-1.0, LaplaceMtx);
double err = ErrMtx.InfNorm();
double infNrm = LaplaceMtx.InfNorm();
Console.WriteLine("Matrix comparison error: " + err + ", matrix norm is: " + infNrm);
Assert.Less(err, infNrm * 1e-10, "MsrMatrix2 comparison failed.");
#endif
stw.Stop();
Console.WriteLine("done {0} sec.", stw.Elapsed.TotalSeconds);
}
//double condNo = LaplaceMtx.condest(BatchmodeConnector.Flavor.Octave);
//Console.WriteLine("condition number: {0:0.####E-00} ",condNo);
}
}
public phi_Flux(int D, BoundaryCondMap <BoundaryType> __boundaryCondMap)
{
m_D = D;
m_boundaryCondMap = __boundaryCondMap;
m_bndFunc = m_boundaryCondMap.bndFunction["phi"];
}
/// <summary>
/// ctor
/// </summary>
/// <param name="_d">
/// spatial direction of derivative
/// </param>
/// <param name="bcmap"></param>
public PressureGradientLin_d(int _d, IncompressibleBoundaryCondMap bcmap)
{
m_d = _d;
m_bcmap = bcmap;
pressureFunction = bcmap.bndFunction[VariableNames.Pressure];
}
public ipFlux(double penalty_const, MultidimensionalArray cj, BoundaryCondMap<BoundaryType> __boundaryCondMap)
: base(penalty_const, cj, "T") //
{
m_boundaryCondMap = __boundaryCondMap;
m_bndFunc = m_boundaryCondMap.bndFunction["T"];
}
protected override SpatialOperator GetOperatorInstance(int D)
{
// create operator
// ===============
{
double _D = D;
double penalty_base = (phi.Basis.Degree + 1) * (phi.Basis.Degree + _D) / _D;
// Get this from where?
double penalty_factor = this.Control.penalty_poisson * penalty_base;
//BoundaryCondMap<BoundaryType> PoissonBcMap = new BoundaryCondMap<BoundaryType>(this.GridData, this.Control.BoundaryValues, "T");
MultidimensionalArray LengthScales;
if (this.GridData is GridData)
{
LengthScales = ((GridData)this.GridData).Cells.cj;
}
else if (this.GridData is AggregationGridData)
{
LengthScales = ((AggregationGridData)this.GridData).AncestorGrid.Cells.cj;
}
else
{
throw new NotImplementedException();
}
m_bcMap = new BoundaryCondMap <BoundaryType>(this.GridData, BoundaryTranslator(ParentControl.BoundaryValues), "phi");
#region variables
//create Parameter and Variablelists
string[] paramVar = VariableNames.VelocityVector(D).Cat("phi0");
string[] domainVar = new string[] { "phi" };
string[] codomainVar = new string[] { "Res_phi" };
switch (this.Control.ModTyp)
{
case PhasefieldControl.ModelType.modelA:
break;
case PhasefieldControl.ModelType.modelB:
domainVar = domainVar.Cat("mu");
codomainVar = codomainVar.Cat("Res_mu");
break;
case PhasefieldControl.ModelType.modelC:
default:
throw new NotImplementedException();
break;
}
switch (this.Control.CurvatureCorrectionType)
{
case PhasefieldControl.CurvatureCorrection.FullyCoupled:
domainVar = domainVar.Cat(VariableNames.Curvature);
codomainVar = codomainVar.Cat("Res_" + VariableNames.Curvature);
break;
case PhasefieldControl.CurvatureCorrection.DirectCoupledIterative:
case PhasefieldControl.CurvatureCorrection.DirectCoupledOnce:
domainVar = domainVar.Cat(VariableNames.Curvature);
codomainVar = codomainVar.Cat("Res_" + VariableNames.Curvature);
paramVar = paramVar.Cat("D" + VariableNames.Curvature);
break;
case PhasefieldControl.CurvatureCorrection.None:
default:
break;
}
#endregion
CHOp = new SpatialOperator(
domainVar,
paramVar,
codomainVar,
(DomainVariableDegrees, ParameterDegrees, CodomainVariableDegrees) => 4 * DomainVariableDegrees[0] //QuadOrderFunc.NonLinear(3)
);
CHOp.ParameterUpdates.Add(CompleteParameterUpdate);
CHOp.ParameterFactories.Add(AllocateParameters);
#region equation components
// convection term
CHOp.EquationComponents["Res_phi"].Add(
new phi_Flux(D, m_bcMap)
);
switch (this.Control.ModTyp)
{
case PhasefieldControl.ModelType.modelA:
CHOp.EquationComponents["Res_phi"].Add(
new phi_Source(this.Control.diff)
);
CHOp.EquationComponents["Res_phi"].Add(
new mu_Diffusion(D, penalty_factor, LengthScales, this.Control.cahn * this.Control.diff.Sqrt(), m_bcMap)
);
switch (this.Control.CurvatureCorrectionType)
{
case PhasefieldControl.CurvatureCorrection.FullyCoupled:
CHOp.EquationComponents["Res_phi"].Add(
new phi_CurvatureCorrection(D, this.Control.cahn * this.Control.diff.Sqrt())
);
CHOp.EquationComponents["Res_" + VariableNames.Curvature].Add(
new curvature_Source(D)
);
CHOp.EquationComponents["Res_" + VariableNames.Curvature].Add(
new curvature_Divergence(D, penalty_factor, 0.001 / this.Control.cahn, LengthScales)
);
break;
case PhasefieldControl.CurvatureCorrection.DirectCoupledIterative:
case PhasefieldControl.CurvatureCorrection.DirectCoupledOnce:
CHOp.EquationComponents["Res_phi"].Add(
new phi_CurvatureCorrection(D, this.Control.cahn * this.Control.diff.Sqrt())
);
CHOp.EquationComponents["Res_" + VariableNames.Curvature].Add(
new curvature_Direct(D)
);
break;
case PhasefieldControl.CurvatureCorrection.None:
default:
break;
}
break;
case PhasefieldControl.ModelType.modelB:
CHOp.EquationComponents["Res_phi"].Add(
new phi_Diffusion(D, penalty_factor, LengthScales, this.Control.diff, this.Control.lambda, m_bcMap)
);
CHOp.EquationComponents["Res_mu"].Add(
new mu_Diffusion(D, penalty_factor, LengthScales, this.Control.cahn, m_bcMap)
);
CHOp.EquationComponents["Res_mu"].Add(
new mu_Source()
);
switch (this.Control.CurvatureCorrectionType)
{
case PhasefieldControl.CurvatureCorrection.FullyCoupled:
CHOp.EquationComponents["Res_mu"].Add(
new phi_CurvatureCorrection(D, this.Control.cahn)
);
CHOp.EquationComponents["Res_" + VariableNames.Curvature].Add(
new curvature_Source(D)
);
CHOp.EquationComponents["Res_" + VariableNames.Curvature].Add(
new curvature_Divergence(D, penalty_factor, 0.001 / this.Control.cahn, LengthScales)
);
break;
case PhasefieldControl.CurvatureCorrection.DirectCoupledIterative:
case PhasefieldControl.CurvatureCorrection.DirectCoupledOnce:
CHOp.EquationComponents["Res_mu"].Add(
new phi_CurvatureCorrection(D, this.Control.cahn)
);
CHOp.EquationComponents["Res_" + VariableNames.Curvature].Add(
new curvature_Direct(D)
);
break;
case PhasefieldControl.CurvatureCorrection.None:
default:
break;
}
break;
case PhasefieldControl.ModelType.modelC:
throw new NotImplementedException();
break;
default:
throw new ArgumentOutOfRangeException();
break;
}
#endregion
// temporal derivative
double[] MassScales = new double[domainVar.Length];
MassScales[0] = 1.0;
CHOp.TemporalOperator = new ConstantTemporalOperator(CHOp, MassScales);
CHOp.LinearizationHint = LinearizationHint.GetJacobiOperator;
CHOp.Commit();
return(CHOp);
}
}
public ConstitutiveEqns_Objective_allparam(int Component, BoundaryCondMap <IncompressibleBcType> _BcMap, double Weissenberg)
{
this.Component = Component;
this.m_BcMap = _BcMap;
this.m_Weissenberg = Weissenberg;
}
/// <summary>
/// Implements the negative Laplace operator, inherits from <see cref="SIPLaplace"/>
/// </summary>
/// <param name="boundaryCondMap">Information about boundary conditions</param>
/// <param name="penaltySafteyFactor">A user definded factor, typically set to 4.0</param>
/// <param name="penaltyFactor">A factor based on the grid type (tetras, quads, etc.)</param>
/// <param name="lengthScales">A cell length scale</param>
/// <param name="argumentName">The variable where the operator acts on</param>
public LaplacianArtificialViscosityFlux(BoundaryCondMap <XDGHeatBcType> boundaryCondMap, double penaltySafteyFactor, double penaltyFactor, MultidimensionalArray lengthScales, string argumentName) :
base(penaltySafteyFactor * penaltyFactor, lengthScales, argumentName)
{
this.boundaryCondMap = boundaryCondMap;
}