Example #1
0
        void ExtractMatrices()
        {
            if (this.m_PressureSolver != null)
            {
                this.m_PressureSolver.Dispose();
                this.m_PressureSolver = null;
            }


            // sub-matrices for the SIMPLE
            // ===========================
            int VelocityLength = this.USubMatrixIdx_Row.Length;
            int PressureLength = this.PSubMatrixIdx_Row.Length;


            this.PressureGrad = new MsrMatrix(VelocityLength, PressureLength, 1, 1);
            this.VelocityDiv  = new MsrMatrix(PressureLength, VelocityLength, 1, 1);
            this.ConvDiff     = new MsrMatrix(VelocityLength, VelocityLength, 1, 1);
            this.Stab         = new MsrMatrix(PressureLength, PressureLength, 1, 1);

            var WholeSystemMatrix = this.m_MgOp.OperatorMatrix;

            WholeSystemMatrix.WriteSubMatrixTo(PressureGrad, USubMatrixIdx_Row, default(int[]), PSubMatrixIdx_Row, default(int[]));
            WholeSystemMatrix.WriteSubMatrixTo(VelocityDiv, PSubMatrixIdx_Row, default(int[]), USubMatrixIdx_Row, default(int[]));
            WholeSystemMatrix.WriteSubMatrixTo(ConvDiff, USubMatrixIdx_Row, default(int[]), USubMatrixIdx_Row, default(int[]));
            WholeSystemMatrix.WriteSubMatrixTo(Stab, PSubMatrixIdx_Row, default(int[]), PSubMatrixIdx_Row, default(int[]));


            double condNo = ConvDiff.condest();

            Console.WriteLine("Convection/Diffusion Condition number: {0:0.####E-00}", condNo);


            //double[] ones = new double[D + 1];
            //ones.SetAll(1.0);
            //MassMatrix = MassFact.GetMassMatrix(Velocity.Current.Mapping, Rho, false)._ToMsrMatrix();
            //MassMatrixInv = MassFact.GetMassMatrix(Velocity.Current.Mapping, Rho, true)._ToMsrMatrix();
        }
Example #2
0
        // Local Variables for Iteration

        // <summary>
        // Counter for Iteration Steps
        // </summary>


        //double OldResidual = double.MaxValue;
        //int divergencecounter = 0;
        ///// <summary>
        ///// Checks for Reaching Max. Number of Iterations and Divergence of Algorithm
        ///// </summary>
        ///// <param name="Residual">Change Rate of the Algorithm</param>
        ///// <returns>Reaching Max Iterations, Aborts when diverged</returns>
        //public bool CheckAbortCriteria(double Residual, int IterationCounter) {
        //    if (Residual <= ConvergenceCriterion) {
        //        Console.WriteLine("EllipticReInit converged after {0} Iterations ", IterationCounter);
        //        return true;
        //    }
        //    if (Residual >= OldResidual) divergencecounter++;
        //    else divergencecounter = 0;
        //    if (IterationCounter >= MaxIteration) {
        //        Console.WriteLine("Elliptic Reinit Max Iterations Reached");
        //        return true;
        //    };
        //    if (divergencecounter > MaxIteration / 2) {
        //        Console.WriteLine("Elliptic Reinit diverged - Aborting");
        //        throw new ApplicationException();
        //    }

        //    OldResidual = Residual;
        //    IterationCounter++;
        //    return false;
        //}


        //bool PreviouslyOnSubgrid = false;

        /// <summary>
        /// Updates the Operator Matrix after level-set motion
        /// </summary>
        /// <param name="Restriction">
        /// The subgrid, on which the ReInit is performed
        /// </param>
        /// <param name="IncludingInterface">
        /// !! Not yet functional !!
        /// True, if the subgrid contains the interface, this causes all external edges of the subgrid to be treated as boundaries
        /// False, for the rest of the domain, thus the flux to the adjacent cells wil be evaluated
        /// </param>
        public void UpdateOperators(SubGrid Restriction = null, bool IncludingInterface = true)
        {
            if (!IncludingInterface)
            {
                throw new NotImplementedException("Untested, not yet functional!");
            }
            using (new FuncTrace()) {
                //using (var slv = new ilPSP.LinSolvers.MUMPS.MUMPSSolver()) {
                //using (var slv = new ilPSP.LinSolvers.PARDISO.PARDISOSolver()) {
                //using (var slv = new ilPSP.LinSolvers.HYPRE.GMRES()) {

                if (Control.Upwinding)
                {
                    OldPhi.Clear();
                    OldPhi.Acc(1.0, Phi);
                    //Calculate
                    LevelSetGradient.Clear();
                    LevelSetGradient.Gradient(1.0, Phi, Restriction?.VolumeMask);
                    //LevelSetGradient.Gradient(1.0, Phi);

                    //LevelSetGradient.GradientByFlux(1.0, Phi);
                    MeanLevelSetGradient.Clear();
                    MeanLevelSetGradient.AccLaidBack(1.0, LevelSetGradient, Restriction?.VolumeMask);
                    //MeanLevelSetGradient.AccLaidBack(1.0, LevelSetGradient);
                }

                if (slv != null)
                {
                    slv.Dispose();
                }

                slv = Control.solverFactory();

                OpMatrix_interface.Clear();
                OpAffine_interface.Clear();


                // Build the Quadrature-Scheme for the interface operator
                // Note: The HMF-Quadrature over a surface is formally a volume quadrature, since it uses the volume quadrature nodes.
                //XSpatialOperatorExtensions.ComputeMatrixEx(Operator_interface,
                ////Operator_interface.ComputeMatrixEx(
                //    LevelSetTracker,
                //    Phi.Mapping,
                //    null,
                //    Phi.Mapping,
                //    OpMatrix_interface,
                //    OpAffine_interface,
                //    false,
                //    0,
                //    false,
                //    subGrid:Restriction,
                //    whichSpc: LevelSetTracker.GetSpeciesId("A")
                //    );
                XSpatialOperatorMk2.XEvaluatorLinear mtxBuilder = Operator_interface.GetMatrixBuilder(LevelSetTracker, Phi.Mapping, null, Phi.Mapping);

                MultiphaseCellAgglomerator dummy = LevelSetTracker.GetAgglomerator(LevelSetTracker.SpeciesIdS.ToArray(), Phi.Basis.Degree * 2 + 2, 0.0);
                //mtxBuilder.SpeciesOperatorCoefficients[LevelSetTracker.GetSpeciesId("A")].CellLengthScales = dummy.CellLengthScales[LevelSetTracker.GetSpeciesId("A")];
                mtxBuilder.CellLengthScales.Add(LevelSetTracker.GetSpeciesId("A"), dummy.CellLengthScales[LevelSetTracker.GetSpeciesId("A")]);


                mtxBuilder.time           = 0;
                mtxBuilder.MPITtransceive = false;
                mtxBuilder.ComputeMatrix(OpMatrix_interface, OpAffine_interface);

                // Regenerate OpMatrix for subgrid -> adjacent cells must be trated as boundary
                if (Restriction != null)
                {
                    OpMatrix_bulk.Clear();
                    OpAffine_bulk.Clear();

                    //Operator_bulk.ComputeMatrix(
                    //    Phi.Mapping,
                    //    parameterFields,
                    //    Phi.Mapping,
                    //    OpMatrix_bulk, OpAffine_bulk,
                    //    OnlyAffine: false, sgrd: Restriction);
                    EdgeQuadratureScheme edgescheme;
                    //if (Control.Upwinding) {
                    //    edgescheme = new EdgeQuadratureScheme(true, IncludingInterface ? Restriction.AllEdgesMask : null);
                    //}
                    //else {
                    edgescheme = new EdgeQuadratureScheme(true, IncludingInterface ? Restriction.InnerEdgesMask : null);
                    //}
                    Operator_bulk.ComputeMatrixEx(Phi.Mapping,
                                                  parameterFields,
                                                  Phi.Mapping, OpMatrix_bulk, OpAffine_bulk, false, 0,
                                                  edgeQuadScheme: edgescheme,
                                                  volQuadScheme: new CellQuadratureScheme(true, IncludingInterface ? Restriction.VolumeMask : null)
                                                  );
                    //PreviouslyOnSubgrid = true;
                }
                // recalculate full Matrix
                //else if (PreviouslyOnSubgrid) {
                else
                {
                    OpMatrix_bulk.Clear();
                    OpAffine_bulk.Clear();


                    Operator_bulk.ComputeMatrixEx(Phi.Mapping,
                                                  parameterFields,
                                                  Phi.Mapping, OpMatrix_bulk, OpAffine_bulk, false, 0
                                                  );
                    //PreviouslyOnSubgrid = false;
                }


                /// Compose the Matrix
                /// This is symmetric due to the symmetry of the SIP and the penalty term
                OpMatrix.Clear();
                OpMatrix.Acc(1.0, OpMatrix_bulk);
                OpMatrix.Acc(1.0, OpMatrix_interface);
                OpMatrix.AssumeSymmetric = !Control.Upwinding;
                //OpMatrix.AssumeSymmetric = false;

                /// Compose the RHS of the above operators. (-> Boundary Conditions)
                /// This does NOT include the Nonlinear RHS, which will be added later
                OpAffine.Clear();
                OpAffine.AccV(1.0, OpAffine_bulk);
                OpAffine.AccV(1.0, OpAffine_interface);


#if Debug
                ilPSP.Connectors.Matlab.BatchmodeConnector matlabConnector;
                matlabConnector = new BatchmodeConnector();
#endif

                if (Restriction != null)
                {
                    SubVecIdx = Phi.Mapping.GetSubvectorIndices(Restriction, true, new int[] { 0 });
                    int L = SubVecIdx.Length;
                    SubMatrix   = new MsrMatrix(L);
                    SubRHS      = new double[L];
                    SubSolution = new double[L];

                    OpMatrix.AccSubMatrixTo(1.0, SubMatrix, SubVecIdx, default(int[]), SubVecIdx, default(int[]));

                    slv.DefineMatrix(SubMatrix);
#if Debug
                    Console.WriteLine("ConditionNumber of ReInit-Matrix is " + SubMatrix.condest().ToString("E"));
#endif
                }
                else
                {
                    slv.DefineMatrix(OpMatrix);
#if Debug
                    Console.WriteLine("ConditionNumber of ReInit-Matrix is " + OpMatrix.condest().ToString("E"));
#endif
                }
            }
        }