Пример #1
0
        protected override double RunSolverOneStep(int TimestepNo, double phystime, double dt)
        {
            //phystime = 1.8;
            LsUpdate(phystime);

            // operator-matrix assemblieren
            OperatorMatrix    = new BlockMsrMatrix(ProblemMapping);
            AltOperatorMatrix = new MsrMatrix(ProblemMapping);
            double[] Affine = new double[OperatorMatrix.RowPartitioning.LocalLength];
            MultiphaseCellAgglomerator Agg;

            // Agglomerator setup
            //Agg = new MultiphaseCellAgglomerator(new CutCellMetrics(MomentFittingVariant, m_quadOrder, LsTrk, LsTrk.GetSpeciesId("B")), this.THRESHOLD, false);
            Agg = LsTrk.GetAgglomerator(new SpeciesId[] { LsTrk.GetSpeciesId("B") }, m_quadOrder, __AgglomerationTreshold: this.THRESHOLD);
            Console.WriteLine("Inter-Process agglomeration? " + Agg.GetAgglomerator(LsTrk.GetSpeciesId("B")).AggInfo.InterProcessAgglomeration);

            // operator matrix assembly
            //Op.ComputeMatrixEx(LsTrk,
            //    ProblemMapping, null, ProblemMapping,
            //    OperatorMatrix, Affine, false, 0.0, true,
            //    Agg.CellLengthScales, null, null,
            //    LsTrk.SpeciesIdS.ToArray());
            XSpatialOperatorMk2.XEvaluatorLinear mtxBuilder = Op.GetMatrixBuilder(base.LsTrk, ProblemMapping, null, ProblemMapping, LsTrk.SpeciesIdS.ToArray());
            mtxBuilder.time = 0.0;
            mtxBuilder.ComputeMatrix(OperatorMatrix, Affine);
            Agg.ManipulateMatrixAndRHS(OperatorMatrix, Affine, this.ProblemMapping, this.ProblemMapping);

            //Op.ComputeMatrixEx(LsTrk,
            //    ProblemMapping, null, ProblemMapping,
            //    AltOperatorMatrix, Affine, false, 0.0, true,
            //    Agg.CellLengthScales, null, null,
            //    LsTrk.SpeciesIdS.ToArray());
            mtxBuilder.ComputeMatrix(AltOperatorMatrix, Affine);
            Agg.ManipulateMatrixAndRHS(AltOperatorMatrix, Affine, this.ProblemMapping, this.ProblemMapping);


            int nnz = this.OperatorMatrix.GetTotalNoOfNonZeros();

            Console.WriteLine("Number of non-zeros in matrix: " + nnz);

            int nnz2 = this.AltOperatorMatrix.GetTotalNoOfNonZeros();

            Assert.IsTrue(nnz == nnz2, "Number of non-zeros in matrix different for " + OperatorMatrix.GetType() + " and " + AltOperatorMatrix.GetType());
            Console.WriteLine("Number of non-zeros in matrix (reference): " + nnz2);

            MsrMatrix Comp = AltOperatorMatrix.CloneAs();

            Comp.Acc(-1.0, OperatorMatrix);
            double CompErr    = Comp.InfNorm();
            double Denom      = Math.Max(AltOperatorMatrix.InfNorm(), OperatorMatrix.InfNorm());
            double CompErrRel = Denom > Math.Sqrt(double.Epsilon) ? CompErr / Denom : CompErr;

            Console.WriteLine("Comparison: " + CompErrRel);

            Assert.LessOrEqual(CompErrRel, 1.0e-7, "Huge difference between MsrMatrix and BlockMsrMatrix.");

            base.TerminationKey = true;
            return(0.0);
        }
Пример #2
0
        protected override double RunSolverOneStep(int TimestepNo, double phystime, double dt)
        {
            Console.WriteLine("    Timestep # " + TimestepNo + ", phystime = " + phystime);

            //phystime = 1.8;
            LsUpdate(phystime);


            // operator-matrix assemblieren
            MsrMatrix OperatorMatrix = new MsrMatrix(u.Mapping, u.Mapping);

            double[] Affine = new double[OperatorMatrix.RowPartitioning.LocalLength];
            MultiphaseCellAgglomerator Agg;
            MassMatrixFactory          Mfact;

            // Agglomerator setup
            int quadOrder = Op.QuadOrderFunction(new int[] { u.Basis.Degree }, new int[0], new int[] { u.Basis.Degree });

            //Agg = new MultiphaseCellAgglomerator(new CutCellMetrics(MomentFittingVariant, quadOrder, LsTrk, ), this.THRESHOLD, false);
            Agg = LsTrk.GetAgglomerator(new SpeciesId[] { LsTrk.GetSpeciesId("B") }, quadOrder, this.THRESHOLD);

            Console.WriteLine("Inter-Process agglomeration? " + Agg.GetAgglomerator(LsTrk.GetSpeciesId("B")).AggInfo.InterProcessAgglomeration);
            if (this.THRESHOLD > 0.01)
            {
                TestAgglomeration_Extraploation(Agg);
                TestAgglomeration_Projection(quadOrder, Agg);
            }

            // operator matrix assembly
            Op.ComputeMatrixEx(LsTrk,
                               u.Mapping, null, u.Mapping,
                               OperatorMatrix, Affine, false, 0.0, true,
                               Agg.CellLengthScales,
                               LsTrk.GetSpeciesId("B"));
            Agg.ManipulateMatrixAndRHS(OperatorMatrix, Affine, u.Mapping, u.Mapping);

            // mass matrix factory
            Mfact = LsTrk.GetXDGSpaceMetrics(new SpeciesId[] { LsTrk.GetSpeciesId("B") }, quadOrder, 1).MassMatrixFactory;// new MassMatrixFactory(u.Basis, Agg);

            // Mass matrix/Inverse Mass matrix
            //var MassInv = Mfact.GetMassMatrix(u.Mapping, new double[] { 1.0 }, true, LsTrk.GetSpeciesId("B"));
            var Mass = Mfact.GetMassMatrix(u.Mapping, new double[] { 1.0 }, false, LsTrk.GetSpeciesId("B"));

            Agg.ManipulateMatrixAndRHS(Mass, default(double[]), u.Mapping, u.Mapping);
            var MassInv = Mass.InvertBlocks(OnlyDiagonal: true, Subblocks: true, ignoreEmptyBlocks: true, SymmetricalInversion: false);


            // test that operator depends only on B-species values
            double DepTest = LsTrk.Regions.GetSpeciesSubGrid("B").TestMatrixDependency(OperatorMatrix, u.Mapping, u.Mapping);

            Console.WriteLine("Matrix dependency test: " + DepTest);
            Assert.LessOrEqual(DepTest, 0.0);

            // diagnostic output
            Console.WriteLine("Number of Agglomerations (all species): " + Agg.TotalNumberOfAgglomerations);
            Console.WriteLine("Number of Agglomerations (species 'B'): " + Agg.GetAgglomerator(LsTrk.GetSpeciesId("B")).AggInfo.SourceCells.NoOfItemsLocally.MPISum());

            // operator auswerten:
            double[] x = new double[Affine.Length];
            BLAS.daxpy(x.Length, 1.0, Affine, 1, x, 1);
            OperatorMatrix.SpMVpara(1.0, u.CoordinateVector, 1.0, x);
            MassInv.SpMV(1.0, x, 0.0, du_dx.CoordinateVector);
            Agg.GetAgglomerator(LsTrk.GetSpeciesId("B")).Extrapolate(du_dx.Mapping);


            // markieren, wo ueberhaupt A und B sind
            Bmarker.AccConstant(1.0, LsTrk.Regions.GetSpeciesSubGrid("B").VolumeMask);
            Amarker.AccConstant(+1.0, LsTrk.Regions.GetSpeciesSubGrid("A").VolumeMask);
            Xmarker.AccConstant(+1.0, LsTrk.Regions.GetSpeciesSubGrid("X").VolumeMask);

            // compute error
            ERR.Clear();
            ERR.Acc(1.0, du_dx_Exact, LsTrk.Regions.GetSpeciesSubGrid("B").VolumeMask);
            ERR.Acc(-1.0, du_dx, LsTrk.Regions.GetSpeciesSubGrid("B").VolumeMask);
            double L2Err = ERR.L2Norm(LsTrk.Regions.GetSpeciesSubGrid("B").VolumeMask);

            Console.WriteLine("L2 Error: " + L2Err);

            XERR.Clear();
            XERR.GetSpeciesShadowField("B").Acc(1.0, ERR, LsTrk.Regions.GetSpeciesSubGrid("B").VolumeMask);
            double xL2Err = XERR.L2Norm();

            Console.WriteLine("L2 Error (in XDG space): " + xL2Err);



            // check error
            if (this.THRESHOLD > 0.01)
            {
                // without agglomeration, the error in very tiny cut-cells may be large over the whole cell
                // However, the error in the XDG-space should be small under all circumstances
                Assert.LessOrEqual(L2Err, 1.0e-6);
            }
            Assert.LessOrEqual(xL2Err, 1.0e-6);

            bool IsPassed = ((L2Err <= 1.0e-6 || this.THRESHOLD <= 0.01) && xL2Err <= 1.0e-7);

            if (IsPassed)
            {
                Console.WriteLine("Test PASSED");
            }
            else
            {
                Console.WriteLine("Test FAILED: check errors.");
            }

            // return/Ende
            base.NoOfTimesteps = 17;
            //base.NoOfTimesteps = 2;
            dt = 0.3;
            return(dt);
        }
Пример #3
0
        protected override double RunSolverOneStep(int TimestepNo, double phystime, double dt)
        {
            LsUpdate(phystime);

            // operator-matrix assemblieren
            OperatorMatrix    = new BlockMsrMatrix(MG_Mapping.ProblemMapping);
            AltOperatorMatrix = new MsrMatrix(MG_Mapping.ProblemMapping);
            double[] Affine = new double[OperatorMatrix.RowPartitioning.LocalLength];
            MultiphaseCellAgglomerator Agg;

            Agg = LsTrk.GetAgglomerator(this.LsTrk.SpeciesIdS.ToArray(), m_quadOrder, __AgglomerationTreshold: this.THRESHOLD);

            XSpatialOperatorMk2.XEvaluatorLinear mtxBuilder = Op.GetMatrixBuilder(base.LsTrk, MG_Mapping.ProblemMapping, null, MG_Mapping.ProblemMapping);
            mtxBuilder.time = 0.0;
            mtxBuilder.ComputeMatrix(OperatorMatrix, Affine);
            Agg.ManipulateMatrixAndRHS(OperatorMatrix, Affine, MG_Mapping.ProblemMapping, MG_Mapping.ProblemMapping);

            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);
            }


            MGOp = new MultigridOperator(XAggB, map,
                                         OperatorMatrix,
                                         this.massFact.GetMassMatrix(map, false),
                                         OpConfig, null);
            Debug.Assert(MGOp.OperatorMatrix != null);
            Debug.Assert(MGOp.Mapping != null);

            someVec = GetRHS(Affine, OperatorMatrix);

            mtxBuilder.ComputeMatrix(AltOperatorMatrix, Affine);
            Agg.ManipulateMatrixAndRHS(AltOperatorMatrix, Affine, MG_Mapping.ProblemMapping, MG_Mapping.ProblemMapping);


            //LsTrk.GetSpeciesName(((XdgAggregationBasis)MGOp.Mapping.AggBasis[0]).UsedSpecies[1]);
            //LsTrk.GetSpeciesName(((XdgAggregationBasis)MGOp.Mapping.AggBasis[0]).UsedSpecies[0]);

            int nnz = this.OperatorMatrix.GetTotalNoOfNonZeros();

            Console.WriteLine("Number of non-zeros in matrix: " + nnz);

            int nnz2 = this.AltOperatorMatrix.GetTotalNoOfNonZeros();

            Assert.IsTrue(nnz == nnz2, "Number of non-zeros in matrix different for " + OperatorMatrix.GetType() + " and " + AltOperatorMatrix.GetType());
            Console.WriteLine("Number of non-zeros in matrix (reference): " + nnz2);

            MsrMatrix Comp = AltOperatorMatrix.CloneAs();

            Comp.Acc(-1.0, OperatorMatrix);
            double CompErr    = Comp.InfNorm();
            double Denom      = Math.Max(AltOperatorMatrix.InfNorm(), OperatorMatrix.InfNorm());
            double CompErrRel = Denom > Math.Sqrt(double.Epsilon) ? CompErr / Denom : CompErr;

            Console.WriteLine("Comparison: " + CompErrRel);

            Assert.LessOrEqual(CompErrRel, 1.0e-7, "Huge difference between MsrMatrix and BlockMsrMatrix.");

            base.TerminationKey = true;
            return(0.0);
        }