diff --git a/AnalyticalGeometricShape.cpp b/AnalyticalGeometricShape.cpp new file mode 100644 index 000000000..483309666 --- /dev/null +++ b/AnalyticalGeometricShape.cpp @@ -0,0 +1,27 @@ +// Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at +// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights +// reserved. See files LICENSE and NOTICE for details. +// +// This file is part of CEED, a collection of benchmarks, miniapps, software +// libraries and APIs for efficient high-order finite element and spectral +// element discretizations for exascale applications. For more information and +// source code availability see http://github.com/ceed. +// +// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, +// a collaborative effort of two U.S. Department of Energy organizations (Office +// of Science and the National Nuclear Security Administration) responsible for +// the planning and preparation of a capable exascale ecosystem, including +// software, applications, hardware, advanced system engineering and early +// testbed platforms, in support of the nation's exascale computing imperative. + +#include "AnalyticalGeometricShape.hpp" + +namespace mfem +{ + + AnalyticalGeometricShape::AnalyticalGeometricShape(Mesh *mesh): mesh(mesh){ + +} + AnalyticalGeometricShape::~AnalyticalGeometricShape(){ + } +} diff --git a/AnalyticalGeometricShape.hpp b/AnalyticalGeometricShape.hpp new file mode 100644 index 000000000..258161e56 --- /dev/null +++ b/AnalyticalGeometricShape.hpp @@ -0,0 +1,43 @@ +// Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at +// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights +// reserved. See files LICENSE and NOTICE for details. +// +// This file is part of CEED, a collection of benchmarks, miniapps, software +// libraries and APIs for efficient high-order finite element and spectral +// element discretizations for exascale applications. For more information and +// source code availability see http://github.com/ceed. +// +// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, +// a collaborative effort of two U.S. Department of Energy organizations (Office +// of Science and the National Nuclear Security Administration) responsible for +// the planning and preparation of a capable exascale ecosystem, including +// software, applications, hardware, advanced system engineering and early +// testbed platforms, in support of the nation's exascale computing imperative. + +#ifndef MFEM_ANALYTICAL_GEOMETRIC_SHAPE +#define MFEM_ANALYTICAL_GEOMETRIC_SHAPE + +#include "mfem.hpp" + +namespace mfem{ + + class AnalyticalGeometricShape{ + + protected: + Mesh *mesh; + +public: + /// Element type related to shifted boundaries (not interfaces). + /// For more than 1 level-set, we set the marker to CUT+level_set_index + /// to discern between different level-sets. + enum SBElementType {OUTSIDE = 0, INSIDE = 1, CUT = 2}; + + AnalyticalGeometricShape(Mesh* mesh); + virtual void SetupElementStatus(GridFunction& alpha) = 0; + + virtual void ComputeDistanceAndNormal(const Vector& x_ip, Vector& dist, Vector& tn) const = 0; + + virtual ~AnalyticalGeometricShape(); + }; +} +#endif // MFEM_LAGHOS diff --git a/AnalyticalSurface.cpp b/AnalyticalSurface.cpp new file mode 100644 index 000000000..5e8c64e54 --- /dev/null +++ b/AnalyticalSurface.cpp @@ -0,0 +1,70 @@ +// Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at +// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights +// reserved. See files LICENSE and NOTICE for details. +// +// This file is part of CEED, a collection of benchmarks, miniapps, software +// libraries and APIs for efficient high-order finite element and spectral +// element discretizations for exascale applications. For more information and +// source code availability see http://github.com/ceed. +// +// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, +// a collaborative effort of two U.S. Department of Energy organizations (Office +// of Science and the National Nuclear Security Administration) responsible for +// the planning and preparation of a capable exascale ecosystem, including +// software, applications, hardware, advanced system engineering and early +// testbed platforms, in support of the nation's exascale computing imperative. + +#include "AnalyticalSurface.hpp" + +namespace mfem +{ + + AnalyticalSurface::AnalyticalSurface(int geometryType, Mesh *mesh): + geometryType(geometryType), + mesh(mesh), + L2FEC_0(0, mesh->Dimension()), + L2_fes_0(mesh, &L2FEC_0), + geometry(NULL) + { + alpha.SetSpace(&L2_fes_0), + alpha = 0.0; + + switch (geometryType) + { + case 1: geometry = new Line(mesh); break; + case 2: geometry = new Circle(mesh); break; + default: + out << "Unknown geometry type: " << geometryType << '\n'; + break; + } + } + + AnalyticalSurface::~AnalyticalSurface() + { + delete geometry; + } + + void AnalyticalSurface::SetupElementStatus() + { + geometry->SetupElementStatus(alpha); + } + void AnalyticalSurface::ResetData() + { + alpha = 0.0; + } + + GridFunction& AnalyticalSurface::GetAlpha() + { + return alpha; + } + AnalyticalGeometricShape& AnalyticalSurface::GetAnalyticalGeometricShape() + { + return *geometry; + } + + void AnalyticalSurface::ComputeDistanceAndNormal(const Vector& x_ip, Vector& dist, Vector& tn) const + { + geometry->ComputeDistanceAndNormal(x_ip, dist, tn); + } + +} diff --git a/AnalyticalSurface.hpp b/AnalyticalSurface.hpp new file mode 100644 index 000000000..08eaa3de2 --- /dev/null +++ b/AnalyticalSurface.hpp @@ -0,0 +1,50 @@ +// Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at +// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights +// reserved. See files LICENSE and NOTICE for details. +// +// This file is part of CEED, a collection of benchmarks, miniapps, software +// libraries and APIs for efficient high-order finite element and spectral +// element discretizations for exascale applications. For more information and +// source code availability see http://github.com/ceed. +// +// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, +// a collaborative effort of two U.S. Department of Energy organizations (Office +// of Science and the National Nuclear Security Administration) responsible for +// the planning and preparation of a capable exascale ecosystem, including +// software, applications, hardware, advanced system engineering and early +// testbed platforms, in support of the nation's exascale computing imperative. + +#ifndef MFEM_ANALYTICAL_SURFACE +#define MFEM_ANALYTICAL_SURFACE + +#include "mfem.hpp" +#include "general/forall.hpp" +#include "linalg/dtensor.hpp" +#include "Line.hpp" +#include "Circle.hpp" + +namespace mfem +{ + + class AnalyticalSurface + { + + protected: + int geometryType; + GridFunction alpha; + AnalyticalGeometricShape *geometry; + Mesh *mesh; + L2_FECollection L2FEC_0; + FiniteElementSpace L2_fes_0; + + public: + AnalyticalSurface(int geometryType, Mesh *mesh); + void SetupElementStatus(); + void ResetData(); + GridFunction& GetAlpha(); + AnalyticalGeometricShape& GetAnalyticalGeometricShape(); + void ComputeDistanceAndNormal(const Vector& x_ip, Vector& dist, Vector& tn) const; + ~AnalyticalSurface(); + }; +} +#endif // MFEM_LAGHOS diff --git a/Circle.cpp b/Circle.cpp new file mode 100644 index 000000000..149db5d2b --- /dev/null +++ b/Circle.cpp @@ -0,0 +1,108 @@ +// Copyright (c) 2017, Lawrence Livermore National Security, OALLC. Produced at +// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights +// reserved. See files LICENSE and NOTICE for details. +// +// This file is part of CEED, a collection of benchmarks, miniapps, software +// libraries and APIs for efficient high-order finite element and spectral +// element discretizations for exascale applications. For more information and +// source code availability see http://github.com/ceed. +// +// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, +// a collaborative effort of two U.S. Department of Energy organizations (Office +// of Science and the National Nuclear Security Administration) responsible for +// the planning and preparation of a capable exascale ecosystem, including +// software, applications, hardware, advanced system engineering and early +// testbed platforms, in support of the nation's exascale computing imperative. + + +#include "Circle.hpp" + +namespace mfem{ + + Circle::Circle(Mesh* mesh): AnalyticalGeometricShape(mesh), radius(0.2), center(2) + { + center(0) = 0.5; + center(1) = 0.5; + } + + Circle::~Circle() + {} + + void Circle::SetupElementStatus(GridFunction& alpha) + { + const int max_elem_attr = (mesh->attributes).Max(); + int activeCount = 0; + int inactiveCount = 0; + int cutCount = 0; + IntegrationRules IntRulesLo(0, Quadrature1D::GaussLobatto); + alpha = 0.0; + auto fes = alpha.FESpace(); + const IntegrationRule &ir = IntRulesLo.Get(fes->GetFE(0)->GetGeomType(), 20); + const int NE = fes->GetNE(), nqp = ir.GetNPoints(); + // Check elements on the current MPI rank + for (int e = 0; e < NE; e++) + { + ElementTransformation *Tr = fes->GetElementTransformation(e); + int count = 0; + for (int q = 0; q < nqp; q++) + { + const IntegrationPoint &ip = ir.IntPoint(q); + Tr->SetIntPoint(&ip); + Vector x(3); + Tr->Transform(ip,x); + + double radiusOfPt = pow(pow(x(0)-center(0),2.0)+pow(x(1)-center(1),2.0),0.5); + if ( radiusOfPt >= radius) + { + count++; + } + } + if (count == nqp) + { + activeCount++; + alpha(e) = 1.0; + } + else if (count > 0 && count < nqp) + { + cutCount++; + alpha(e) = 0.5; + // mesh->SetAttribute(e, max_elem_attr+1); + } + else if (count == 0) + { + inactiveCount++; + alpha(e) = 0.0; + // mesh->SetAttribute(e, max_elem_attr+1); + } + } + // mesh->SetAttributes(); + // std::cout << " active elemSta " << activeCount << " cut " << cutCount << " inacive " << inactiveCount << std::endl; + } + + void Circle::ComputeDistanceAndNormal(const Vector& x_ip, Vector& dist, Vector& tn) const + { + dist.SetSize(2); + dist = 0.0; + tn.SetSize(2); + tn = 0.0; + + double r = sqrt(pow(x_ip(0)-center(0),2.0)+pow(x_ip(1)-center(1),2.0)); + if (r > radius) + { + dist(0) = ((x_ip(0)-center(0))/r)*(radius-r); + dist(1) = ((x_ip(1)-center(1))/r)*(radius-r); + double normD = sqrt(dist(0) * dist(0) + dist(1) * dist(1)); + if (normD > 0.0) + { + tn(0) = dist(0) / normD; + tn(1) = dist(1) / normD; + } + } + else + { + dist = 0.0; + tn(0) = (center(0) - x_ip(0)) / radius; + tn(1) = (center(1) - x_ip(1)) / radius; + } + } +} diff --git a/Circle.hpp b/Circle.hpp new file mode 100644 index 000000000..8a1951b8d --- /dev/null +++ b/Circle.hpp @@ -0,0 +1,41 @@ +// Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at +// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights +// reserved. See files LICENSE and NOTICE for details. +// +// This file is part of CEED, a collection of benchmarks, miniapps, software +// libraries and APIs for efficient high-order finite element and spectral +// element discretizations for exascale applications. For more information and +// source code availability see http://github.com/ceed. +// +// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, +// a collaborative effort of two U.S. Department of Energy organizations (Office +// of Science and the National Nuclear Security Administration) responsible for +// the planning and preparation of a capable exascale ecosystem, including +// software, applications, hardware, advanced system engineering and early +// testbed platforms, in support of the nation's exascale computing imperative. +#ifndef MFEM_CIRCLE +#define MFEM_CIRCLE + +#include "AnalyticalGeometricShape.hpp" + +namespace mfem +{ + class Circle : public AnalyticalGeometricShape{ + + protected: + double radius; + Vector center; + + public: + + Circle(Mesh *mesh); + ~Circle(); + + void SetupElementStatus(GridFunction& alpha); + void ComputeDistanceAndNormal(const Vector& x_ip, Vector& dist, Vector& tn) const; + }; + +} + +#endif // MFEM_LAGHOS + diff --git a/Line.cpp b/Line.cpp new file mode 100644 index 000000000..7ce9277da --- /dev/null +++ b/Line.cpp @@ -0,0 +1,99 @@ +// CopyrighAt (AAcA) 2017, Lawrence Livermore National Security, OALLC. Produced at +// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights +// reserved. See files LICENSE and NOTICE for details. +// +// This file is part of CEED, a collection of benchmarks, miniapps, software +// libraries and APIs for efficient high-order finite element and spectral +// element discretizations for exascale applications. For more information and +// source code availability see http://github.com/ceed. +// +// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, +// a collaborative effort of two U.S. Department of Energy organizations (Office +// of Science and the National Nuclear Security Administration) responsible for +// the planning and preparation of a capable exascale ecosystem, including +// software, applications, hardware, advanced system engineering and early +// testbed platforms, in support of the nation's exascale computing imperative. + + +#include "Line.hpp" + +namespace mfem{ + + Line::Line(Mesh* mesh): + AnalyticalGeometricShape(mesh), + slope(0), + yIntercept(1.51) + { } + + Line::~Line(){} + + void Line::SetupElementStatus(GridFunction& alpha) + { + int activeCount = 0; + int inactiveCount = 0; + int cutCount = 0; + IntegrationRules IntRulesLo(0, Quadrature1D::GaussLobatto); + auto fes = alpha.FESpace(); + const IntegrationRule &ir = IntRulesLo.Get(fes->GetFE(0)->GetGeomType(), 20); + const int NE = fes->GetNE(), nqp = ir.GetNPoints(); + + // Check elements on the current MPI rank + for (int e = 0; e < NE; e++) + { + ElementTransformation *Tr = fes->GetElementTransformation(e); + int count = 0; + for (int q = 0; q < nqp; q++) + { + const IntegrationPoint &ip = ir.IntPoint(q); + Tr->SetIntPoint(&ip); + Vector x(3); + Tr->Transform(ip,x); + double ptOnLine = slope * x(0) + yIntercept; + if (x(1) <= ptOnLine) + { + count++; + } + } + if (count == nqp) + { + activeCount++; + alpha(e) = 1.0; + } + else if (count > 0 && count < nqp) + { + cutCount++; + alpha(e) = 0.5; + } + else if (count == 0) + { + inactiveCount++; + alpha(e) = 0.0; + } + } + std::cout << " active elemSta " << activeCount << " cut " << cutCount << " inacive " << inactiveCount << std::endl; + } + + void Line::ComputeDistanceAndNormal(const Vector& x_ip, Vector& dist, Vector& tn) const + { + dist.SetSize(2); + dist = 0.0; + tn.SetSize(2); + tn = 0.0; + + double a = slope; + double b = -1.0; + double c = yIntercept; + + dist(0) = (b * (b * x_ip(0) - a * x_ip(1)) - a * c) / (a * a + b * b); + dist(1) = (a * (-b * x_ip(0) + a * x_ip(1)) - b * c) / (a * a + b * b); + + double normD = sqrt(pow(dist(0), 2.0) + pow(dist(1), 2.0)); + if (normD > 0.0) + { + tn(0) = dist(0) / normD; + tn(1) = dist(1) / normD; + } + } + +} + diff --git a/Line.hpp b/Line.hpp new file mode 100644 index 000000000..a7df128ea --- /dev/null +++ b/Line.hpp @@ -0,0 +1,43 @@ +// Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at +// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights +// reserved. See files LICENSE and NOTICE for details. +// +// This file is part of CEED, a collection of benchmarks, miniapps, software +// libraries and APIs for efficient high-order finite element and spectral +// element discretizations for exascale applications. For more information and +// source code availability see http://github.com/ceed. +// +// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, +// a collaborative effort of two U.S. Department of Energy organizations (Office +// of Science and the National Nuclear Security Administration) responsible for +// the planning and preparation of a capable exascale ecosystem, including +// software, applications, hardware, advanced system engineering and early +// testbed platforms, in support of the nation's exascale computing imperative. +#ifndef MFEM_LINE +#define MFEM_LINE + +#include "AnalyticalGeometricShape.hpp" + +namespace mfem +{ + class Line : public AnalyticalGeometricShape{ + + protected: + double slope; + double yIntercept; + + public: + + Line(Mesh* pmesh); + ~Line(); + + void SetupElementStatus(GridFunction& alpha); + + void ComputeDistanceAndNormal(const Vector& x_ip, Vector& dist, Vector& tn) const; + + }; + +} + +#endif // MFEM_LAGHOS + diff --git a/autotest/baseline.out b/autotest/baseline.out new file mode 100644 index 000000000..9a95ec7e9 --- /dev/null +++ b/autotest/baseline.out @@ -0,0 +1,503 @@ +mpirun -np X laghos -m data/trapezoid_quad.mesh -tf 1.5 -rs 1 + + __ __ + / / ____ ____ / /_ ____ _____ + / / / __ `/ __ `/ __ \/ __ \/ ___/ + / /___/ /_/ / /_/ / / / / /_/ (__ ) + /_____/\__,_/\__, /_/ /_/\____/____/ + /____/ + +Options used: + --dimension 3 + --mesh data/trapezoid_quad.mesh + --refine-serial 1 + --refine-parallel 0 + --cartesian-partitioning '' + --problem 1 + --order-kinematic 2 + --order-thermo 1 + --order-intrule -1 + --ode-solver 7 + --t-final 1.5 + --cfl 0.5 + --cg-tol 1e-08 + --ftz-tol 0 + --cg-max-steps 300 + --max-steps -1 + --full-assembly + --no-impose-viscosity + --no-visualization + --visualization-steps 50 + --no-visit + --no-print + --outputfilename results/Laghos + --partition 0 + --device cpu + --no-checks + --no-mem + --no-fom + --no-gpu-aware-mpi + --dev 0 +Device configuration: cpu +Memory configuration: host-std +Number of zones in the serial mesh: 16 +Non-Cartesian partitioning through METIS will be used. +Zones min/max: 4 4 +Number of kinematic (position, velocity) dofs: 162 +Number of specific internal energy dofs: 64 +Repeating step 11 +Repeating step 26 +Repeating step 41 +step 50, t = 0.3704, dt = 0.005729, |e| = 7.9356590770e+00 +Repeating step 59 +Repeating step 61 +Repeating step 63 +Repeating step 64 +Repeating step 65 +Repeating step 66 +Repeating step 68 +Repeating step 70 +Repeating step 72 +Repeating step 79 +Repeating step 89 +step 100, t = 0.5082, dt = 0.001542, |e| = 7.1849903106e+00 +step 150, t = 0.5869, dt = 0.001636, |e| = 6.8605869032e+00 +step 200, t = 0.6687, dt = 0.001636, |e| = 6.5796481625e+00 +step 250, t = 0.7509, dt = 0.001669, |e| = 6.3421719397e+00 +step 300, t = 0.8395, dt = 0.001880, |e| = 6.1212469230e+00 +step 350, t = 0.9421, dt = 0.002202, |e| = 5.8998111212e+00 +step 400, t = 1.0523, dt = 0.002202, |e| = 5.6952978991e+00 +step 450, t = 1.1633, dt = 0.002384, |e| = 5.5193782288e+00 +step 500, t = 1.3043, dt = 0.003338, |e| = 5.3332508435e+00 +Repeating step 506 +Repeating step 520 +Repeating step 540 +step 550, t = 1.4315, dt = 0.002050, |e| = 5.1937367367e+00 +Repeating step 554 +Repeating step 577 +Repeating step 578 +Repeating step 578 +Repeating step 579 +step 600, t = 1.5000, dt = 0.000646, |e| = 5.1280262407e+00 + +Energy diff: 3.58e-09 +Moment diff: 4.25e-01 + +mpirun -np X laghos -m data/refined.mesh -tf 0.4 -rs 2 + + __ __ + / / ____ ____ / /_ ____ _____ + / / / __ `/ __ `/ __ \/ __ \/ ___/ + / /___/ /_/ / /_/ / / / / /_/ (__ ) + /_____/\__,_/\__, /_/ /_/\____/____/ + /____/ + +Options used: + --dimension 3 + --mesh data/refined.mesh + --refine-serial 2 + --refine-parallel 0 + --cartesian-partitioning '' + --problem 1 + --order-kinematic 2 + --order-thermo 1 + --order-intrule -1 + --ode-solver 7 + --t-final 0.4 + --cfl 0.5 + --cg-tol 1e-08 + --ftz-tol 0 + --cg-max-steps 300 + --max-steps -1 + --full-assembly + --no-impose-viscosity + --no-visualization + --visualization-steps 50 + --no-visit + --no-print + --outputfilename results/Laghos + --partition 0 + --device cpu + --no-checks + --no-mem + --no-fom + --no-gpu-aware-mpi + --dev 0 +Device configuration: cpu +Memory configuration: host-std +Number of zones in the serial mesh: 64 +Non-Cartesian partitioning through METIS will be used. +Zones min/max: 16 16 +Number of kinematic (position, velocity) dofs: 576 +Number of specific internal energy dofs: 256 +step 50, t = 0.0870, dt = 0.001779, |e| = 2.4251235295e+01 +Repeating step 64 +Repeating step 83 +Repeating step 91 +step 100, t = 0.1601, dt = 0.001093, |e| = 2.0424240126e+01 +Repeating step 128 +Repeating step 136 +Repeating step 141 +step 150, t = 0.2117, dt = 0.000818, |e| = 1.8715722764e+01 +Repeating step 166 +Repeating step 175 +step 200, t = 0.2493, dt = 0.000827, |e| = 1.7751065253e+01 +Repeating step 222 +Repeating step 224 +Repeating step 231 +step 250, t = 0.2841, dt = 0.000644, |e| = 1.7073792865e+01 +Repeating step 279 +Repeating step 290 +step 300, t = 0.3188, dt = 0.000568, |e| = 1.6579554966e+01 +Repeating step 301 +Repeating step 320 +Repeating step 325 +step 350, t = 0.3391, dt = 0.000349, |e| = 1.6334815125e+01 +Repeating step 371 +step 400, t = 0.3549, dt = 0.000296, |e| = 1.6139946838e+01 +Repeating step 408 +Repeating step 409 +step 450, t = 0.3675, dt = 0.000246, |e| = 1.5975283862e+01 +Repeating step 467 +Repeating step 474 +Repeating step 488 +step 500, t = 0.3775, dt = 0.000192, |e| = 1.5844560481e+01 +Repeating step 505 +Repeating step 544 +step 550, t = 0.3861, dt = 0.000165, |e| = 1.5739754640e+01 +Repeating step 559 +step 600, t = 0.3936, dt = 0.000146, |e| = 1.5655162761e+01 +step 644, t = 0.4000, dt = 0.000103, |e| = 1.5589352982e+01 + +Energy diff: 4.10e-11 +Moment diff: 2.72e-01 +-- Points per face: 7 +-- Perimeter error: 2.68e-03 +-- Position error: 1.73e-03 + +mpirun -np X laghos -m data/refined.mesh -tf 0.8 -rs 1 -ok 3 -ot 2 + + __ __ + / / ____ ____ / /_ ____ _____ + / / / __ `/ __ `/ __ \/ __ \/ ___/ + / /___/ /_/ / /_/ / / / / /_/ (__ ) + /_____/\__,_/\__, /_/ /_/\____/____/ + /____/ + +Options used: + --dimension 3 + --mesh data/refined.mesh + --refine-serial 1 + --refine-parallel 0 + --cartesian-partitioning '' + --problem 1 + --order-kinematic 3 + --order-thermo 2 + --order-intrule -1 + --ode-solver 7 + --t-final 0.8 + --cfl 0.5 + --cg-tol 1e-08 + --ftz-tol 0 + --cg-max-steps 300 + --max-steps -1 + --full-assembly + --no-impose-viscosity + --no-visualization + --visualization-steps 50 + --no-visit + --no-print + --outputfilename results/Laghos + --partition 0 + --device cpu + --no-checks + --no-mem + --no-fom + --no-gpu-aware-mpi + --dev 0 +Device configuration: cpu +Memory configuration: host-std +Number of zones in the serial mesh: 16 +Non-Cartesian partitioning through METIS will be used. +Zones min/max: 4 4 +Number of kinematic (position, velocity) dofs: 336 +Number of specific internal energy dofs: 144 +step 50, t = 0.1902, dt = 0.004435, |e| = 1.3124098064e+01 +Repeating step 51 +Repeating step 58 +Repeating step 74 +Repeating step 86 +Repeating step 88 +Repeating step 90 +Repeating step 93 +Repeating step 98 +step 100, t = 0.3422, dt = 0.001444, |e| = 1.1153585280e+01 +Repeating step 110 +Repeating step 117 +Repeating step 123 +Repeating step 135 +Repeating step 139 +Repeating step 142 +Repeating step 147 +step 150, t = 0.3902, dt = 0.000463, |e| = 1.0787292133e+01 +step 200, t = 0.4133, dt = 0.000463, |e| = 1.0598946420e+01 +step 250, t = 0.4365, dt = 0.000463, |e| = 1.0439590795e+01 +step 300, t = 0.4611, dt = 0.000532, |e| = 1.0324139882e+01 +step 350, t = 0.4893, dt = 0.000587, |e| = 1.0252490626e+01 +Repeating step 382 +Repeating step 382 +step 400, t = 0.5186, dt = 0.000656, |e| = 1.0237017103e+01 +Repeating step 405 +step 450, t = 0.5498, dt = 0.000693, |e| = 1.0266298090e+01 +step 500, t = 0.5845, dt = 0.000693, |e| = 1.0329364000e+01 +step 550, t = 0.6191, dt = 0.000693, |e| = 1.0404028934e+01 +Repeating step 576 +step 600, t = 0.6517, dt = 0.000613, |e| = 1.0472982881e+01 +Repeating step 634 +Repeating step 636 +step 650, t = 0.6798, dt = 0.000470, |e| = 1.0524370187e+01 +step 700, t = 0.7055, dt = 0.000519, |e| = 1.0561922273e+01 +step 750, t = 0.7314, dt = 0.000519, |e| = 1.0590491041e+01 +Repeating step 797 +step 800, t = 0.7570, dt = 0.000441, |e| = 1.0608131942e+01 +step 850, t = 0.7791, dt = 0.000441, |e| = 1.0614454249e+01 +Repeating step 883 +step 900, t = 0.8000, dt = 0.000375, |e| = 1.0612142441e+01 +step 901, t = 0.8000, dt = 0.000049, |e| = 1.0612128297e+01 + +Energy diff: 1.81e-11 +Moment diff: 4.82e-01 +-- Points per face: 7 +-- Perimeter error: 1.40e-03 +-- Position error: 1.93e-03 + +mpirun -np X laghos -m data/disc-nurbs.mesh -tf 5.0 -rs 2 + + __ __ + / / ____ ____ / /_ ____ _____ + / / / __ `/ __ `/ __ \/ __ \/ ___/ + / /___/ /_/ / /_/ / / / / /_/ (__ ) + /_____/\__,_/\__, /_/ /_/\____/____/ + /____/ + +Options used: + --dimension 3 + --mesh data/disc-nurbs.mesh + --refine-serial 2 + --refine-parallel 0 + --cartesian-partitioning '' + --problem 1 + --order-kinematic 2 + --order-thermo 1 + --order-intrule -1 + --ode-solver 7 + --t-final 5 + --cfl 0.5 + --cg-tol 1e-08 + --ftz-tol 0 + --cg-max-steps 300 + --max-steps -1 + --full-assembly + --no-impose-viscosity + --no-visualization + --visualization-steps 50 + --no-visit + --no-print + --outputfilename results/Laghos + --partition 0 + --device cpu + --no-checks + --no-mem + --no-fom + --no-gpu-aware-mpi + --dev 0 +Device configuration: cpu +Memory configuration: host-std +Number of zones in the serial mesh: 80 +Non-Cartesian partitioning through METIS will be used. +Zones min/max: 20 20 +Number of kinematic (position, velocity) dofs: 674 +Number of specific internal energy dofs: 320 +Repeating step 3 +Repeating step 5 +Repeating step 10 +Repeating step 48 +Repeating step 49 +step 50, t = 2.2836, dt = 0.034191, |e| = 8.0841244800e-01 +Repeating step 51 +step 100, t = 3.7890, dt = 0.033384, |e| = 6.8577525148e-01 +Repeating step 104 +Repeating step 105 +Repeating step 106 +step 150, t = 4.9204, dt = 0.023550, |e| = 6.3632879721e-01 +step 154, t = 5.0000, dt = 0.008689, |e| = 6.3356639148e-01 + +Energy diff: 6.48e-12 +Moment diff: 1.12e+00 + +mpirun -np X laghos -m data/convex.mesh -tf 0.1 -rs 2 + + __ __ + / / ____ ____ / /_ ____ _____ + / / / __ `/ __ `/ __ \/ __ \/ ___/ + / /___/ /_/ / /_/ / / / / /_/ (__ ) + /_____/\__,_/\__, /_/ /_/\____/____/ + /____/ + +Options used: + --dimension 3 + --mesh data/convex.mesh + --refine-serial 2 + --refine-parallel 0 + --cartesian-partitioning '' + --problem 1 + --order-kinematic 2 + --order-thermo 1 + --order-intrule -1 + --ode-solver 7 + --t-final 0.1 + --cfl 0.5 + --cg-tol 1e-08 + --ftz-tol 0 + --cg-max-steps 300 + --max-steps -1 + --full-assembly + --no-impose-viscosity + --no-visualization + --visualization-steps 50 + --no-visit + --no-print + --outputfilename results/Laghos + --partition 0 + --device cpu + --no-checks + --no-mem + --no-fom + --no-gpu-aware-mpi + --dev 0 +Device configuration: cpu +Memory configuration: host-std +Number of zones in the serial mesh: 64 +Non-Cartesian partitioning through METIS will be used. +Zones min/max: 16 16 +Number of kinematic (position, velocity) dofs: 576 +Number of specific internal energy dofs: 256 +Repeating step 42 +step 50, t = 0.0585, dt = 0.001024, |e| = 5.1668713215e+01 +Repeating step 65 +step 96, t = 0.1000, dt = 0.000179, |e| = 4.3862262944e+01 + +Energy diff: 1.69e-13 +Moment diff: 1.97e-02 + +mpirun -np X laghos -m data/cube01_hex.mesh -tf 0.25 -rs 1 + + __ __ + / / ____ ____ / /_ ____ _____ + / / / __ `/ __ `/ __ \/ __ \/ ___/ + / /___/ /_/ / /_/ / / / / /_/ (__ ) + /_____/\__,_/\__, /_/ /_/\____/____/ + /____/ + +Options used: + --dimension 3 + --mesh data/cube01_hex.mesh + --refine-serial 1 + --refine-parallel 0 + --cartesian-partitioning '' + --problem 1 + --order-kinematic 2 + --order-thermo 1 + --order-intrule -1 + --ode-solver 7 + --t-final 0.25 + --cfl 0.5 + --cg-tol 1e-08 + --ftz-tol 0 + --cg-max-steps 300 + --max-steps -1 + --full-assembly + --no-impose-viscosity + --no-visualization + --visualization-steps 50 + --no-visit + --no-print + --outputfilename results/Laghos + --partition 0 + --device cpu + --no-checks + --no-mem + --no-fom + --no-gpu-aware-mpi + --dev 0 +Device configuration: cpu +Memory configuration: host-std +Number of zones in the serial mesh: 64 +Non-Cartesian partitioning through METIS will be used. +Zones min/max: 16 16 +Number of kinematic (position, velocity) dofs: 2187 +Number of specific internal energy dofs: 512 +Repeating step 33 +Repeating step 34 +Repeating step 35 +Repeating step 50 +step 50, t = 0.1720, dt = 0.002192, |e| = 4.9859113418e+01 +Repeating step 72 +Repeating step 77 +step 91, t = 0.2500, dt = 0.000526, |e| = 4.3152920230e+01 + +Energy diff: 3.08e-12 +Moment diff: 2.46e-01 + +mpirun -np X laghos -m data/cube_gmsh_19.msh -tf 0.0002 -rs 0 + + __ __ + / / ____ ____ / /_ ____ _____ + / / / __ `/ __ `/ __ \/ __ \/ ___/ + / /___/ /_/ / /_/ / / / / /_/ (__ ) + /_____/\__,_/\__, /_/ /_/\____/____/ + /____/ + +Options used: + --dimension 3 + --mesh data/cube_gmsh_19.msh + --refine-serial 0 + --refine-parallel 0 + --cartesian-partitioning '' + --problem 1 + --order-kinematic 2 + --order-thermo 1 + --order-intrule -1 + --ode-solver 7 + --t-final 0.0002 + --cfl 0.5 + --cg-tol 1e-08 + --ftz-tol 0 + --cg-max-steps 300 + --max-steps -1 + --full-assembly + --no-impose-viscosity + --no-visualization + --visualization-steps 50 + --no-visit + --no-print + --outputfilename results/Laghos + --partition 0 + --device cpu + --no-checks + --no-mem + --no-fom + --no-gpu-aware-mpi + --dev 0 +Device configuration: cpu +Memory configuration: host-std +Number of zones in the serial mesh: 4374 +Non-Cartesian partitioning through METIS will be used. +Zones min/max: 1062 1126 +Number of kinematic (position, velocity) dofs: 110922 +Number of specific internal energy dofs: 34992 +step 1, t = 0.0002, dt = 0.000204, |e| = nan + +Energy diff: nan +Moment diff: 0.00e+00 + diff --git a/autotest/test.sh b/autotest/test.sh new file mode 100755 index 000000000..44adb2d05 --- /dev/null +++ b/autotest/test.sh @@ -0,0 +1,83 @@ +#!/bin/bash + +# execute with +# ./test.sh n -- to run on n tasks, getting test_n.out + +if [ "$1" = "" ]; then + ntask=1; +else + ntask=$1; +fi + +if [ $ntask = 0 ]; then + ntask=1; +fi + +cd .. +file="autotest/run_"$((ntask))".out" +rm -f $file + +command="time mpirun -np "$((ntask))" laghos -p 1 -s 7 -vs 50 -fa" +comment="mpirun -np X laghos" + + +# 2D trapezoid. +params="-m data/trapezoid_quad.mesh -tf 1.5 -rs 1" +run_line=$command" "$params +com_line=$comment" "$params +echo -e $com_line >> $file +$run_line >> $file +echo -e >> $file + +# 2D circular hole. +params="-m data/refined.mesh -tf 0.4 -rs 2" +run_line=$command" "$params +com_line=$comment" "$params +echo -e $com_line >> $file +$run_line >> $file +echo -e >> $file + +# 2D circular hole Q3Q2. +params="-m data/refined.mesh -tf 0.8 -rs 1 -ok 3 -ot 2" +run_line=$command" "$params +com_line=$comment" "$params +echo -e $com_line >> $file +$run_line >> $file +echo -e >> $file + +# 2D disc (inside). +params="-m data/disc-nurbs.mesh -tf 5.0 -rs 2" +run_line=$command" "$params +com_line=$comment" "$params +echo -e $com_line >> $file +$run_line >> $file +echo -e >> $file + +# 2D disc (outside). +params="-m data/convex.mesh -tf 0.1 -rs 2" +run_line=$command" "$params +com_line=$comment" "$params +echo -e $com_line >> $file +$run_line >> $file +echo -e >> $file + +# 3D cube. +params="-m data/cube01_hex.mesh -tf 0.25 -rs 1" +run_line=$command" "$params +com_line=$comment" "$params +echo -e $com_line >> $file +$run_line >> $file +echo -e >> $file + +# 3D cube with hole. +params="-m data/cube_gmsh_19.msh -tf 0.0002 -rs 0" +run_line=$command" "$params +com_line=$comment" "$params +echo -e $com_line >> $file +$run_line >> $file +echo -e >> $file + +tkdiff autotest/baseline.out $file & + +cd autotest +exit 0 diff --git a/data/convex.mesh b/data/convex.mesh new file mode 100644 index 000000000..5a4ad4b46 --- /dev/null +++ b/data/convex.mesh @@ -0,0 +1,69 @@ +MFEM mesh v1.0 + +# +# MFEM Geometry Types (see mesh/geom.hpp): +# +# POINT = 0 +# SEGMENT = 1 +# TRIANGLE = 2 +# SQUARE = 3 +# TETRAHEDRON = 4 +# CUBE = 5 +# PRISM = 6 +# PYRAMID = 7 +# + +dimension +2 + +elements +4 +1 3 0 1 5 4 +1 3 1 2 6 5 +1 3 2 3 7 6 +1 3 3 0 4 7 + +boundary +8 +1 1 0 1 +1 1 1 2 +1 1 2 3 +1 1 3 0 +4 1 5 4 +4 1 6 5 +4 1 7 6 +4 1 4 7 + +vertices +8 + +nodes +FiniteElementSpace +FiniteElementCollection: H1_2D_P2 +VDim: 2 +Ordering: 1 + +0 0 +1 0 +1 1 +0 1 +0.35857864 0.35857864 +0.64142136 0.35857864 +0.64142136 0.64142136 +0.35857864 0.64142136 +0.5 0 +0.83535534 0.16464466 +0.5 0.3 +0.16464466 0.16464466 +1 0.5 +0.83535534 0.83535534 +0.7 0.5 +0.5 1 +0.16464466 0.83535534 +0.5 0.7 +0 0.5 +0.3 0.5 +0.5 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b/data/trapezoid_quad.mesh @@ -0,0 +1,61 @@ +MFEM mesh v1.0 + +# +# MFEM Geometry Types (see mesh/geom.hpp): +# +# POINT = 0 +# SEGMENT = 1 +# TRIANGLE = 2 +# SQUARE = 3 +# TETRAHEDRON = 4 +# CUBE = 5 +# + +dimension +2 + +elements +4 +1 3 0 1 4 3 +1 3 1 2 5 4 +1 3 3 4 7 6 +1 3 4 5 8 7 + +boundary +8 +2 1 0 1 +2 1 1 2 +2 1 7 6 +2 1 8 7 +1 1 3 0 +1 1 6 3 +1 1 2 5 +1 1 5 8 + +vertices +9 + +nodes +FiniteElementSpace +FiniteElementCollection: Linear +VDim: 2 +Ordering: 0 + +0 +0.5 +1 +-0.25 +0.375 +1 +-0.5 +0.25 +1 +0 +0.125 +0.25 +0.5 +0.5 +0.5 +1 +1 +1 diff --git a/laghos.cpp b/laghos.cpp index 959b78579..bf91783be 100644 --- a/laghos.cpp +++ b/laghos.cpp @@ -58,6 +58,27 @@ // -m data/cube_922_hex.mesh -pt 911 for 9 / 72 / 576 / 4608 ... tasks. // -m data/cube_522_hex.mesh -pt 521 for 10 / 80 / 640 / 5120 ... tasks. // -m data/cube_12_hex.mesh -pt 322 for 12 / 96 / 768 / 6144 ... tasks. +// +// Wall BC tests: +// * penPar is the penalty Parameter +// * per is the perimeter of the bounding box of the domain +// TG 2D (rates): +// mpirun -np 4 laghos -m data/square01_quad.mesh -p 0 -rs 3 -tf 0.5 -s 4 -fa -vs 20 -vis +// 2D square: +// mpirun -np 4 laghos -m data/square01_quad.mesh -p 1 -rs 3 -tf 0.8 -s 7 -fa -vs 20 -vis +// 2D trapezoid: +// mpirun -np 4 laghos -m data/trapezoid_quad.mesh -p 1 -rs 2 -tf 1.5 -s 7 -fa -vs 20 -vis +// 2D circular hole: +// mpirun -np 4 laghos -m data/refined.mesh -p 1 -rs 2 -tf 0.8 -s 7 -fa -vs 20 -vis +// 2D disc (inside): +// mpirun -np 4 laghos -m data/disc-nurbs.mesh -p 1 -rs 3 -tf 10 -s 7 -fa -vs 20 -vis +// 2D disc (outside): +// mpirun -np 4 laghos -m data/convex.mesh -p 1 -rs 3 -tf 0.1 -s 7 -fa -vs 20 -vis +// 3D cube: +// mpirun -np 4 laghos -m data/cube01_hex.mesh -p 1 -rs 1 -tf 0.8 -s 7 -fa -vs 20 -vis +// 3D spherical hole: +// mpirun -np 4 laghos -m data/sphere_hole_V4.msh -p 1 -rs 0 -tf 0.8 -s 7 -fa -ok 3 -ot 2 -vs 1000 + #include #include @@ -124,6 +145,8 @@ int main(int argc, char *argv[]) int dev = 0; double blast_energy = 0.25; double blast_position[] = {0.0, 0.0, 0.0}; + bool useEmbedded = false; + int geometricShape = 0; OptionsParser args(argc, argv); args.AddOption(&dim, "-dim", "--dimension", "Dimension of the problem."); @@ -193,14 +216,40 @@ int main(int argc, char *argv[]) args.AddOption(&gpu_aware_mpi, "-gam", "--gpu-aware-mpi", "-no-gam", "--no-gpu-aware-mpi", "Enable GPU aware MPI communications."); args.AddOption(&dev, "-dev", "--dev", "GPU device to use."); + args.AddOption(&useEmbedded, "-emb", "--use-embedded", "-no-emb", + "--no-embedded", + "Use Embedded when there is surface that will be embedded in a pre-existing mesh"); + args.AddOption(&geometricShape, "-gS", "--geometricShape", + "Shape of the embedded geometry that will be embedded"); args.Parse(); if (!args.Good()) { if (Mpi::Root()) { args.PrintUsage(cout); } return 1; } + if (useEmbedded) + { + p_assembly = false; + } + if (Mpi::Root()) { args.PrintOptions(cout); } + if (strcmp(mesh_file, "data/disc-nurbs.mesh") == 0) + { + blast_position[0] = - sqrt(8.0); + } + if (strcmp(mesh_file, "data/convex.mesh") == 0) + { + blast_position[0] = 0.7; + blast_position[1] = 0.5; + } + if (strcmp(mesh_file, "data/sphere_hole_V4.msh") == 0) + { + blast_position[0] = -0.5; + blast_position[1] = -0.5; + blast_position[2] = -0.5; + } + // Configure the device from the command line options Device backend; backend.Configure(device, dev); @@ -248,7 +297,6 @@ int main(int argc, char *argv[]) } } dim = mesh->Dimension(); - // 1D vs partial assembly sanity check. if (p_assembly && dim == 1) { @@ -267,6 +315,47 @@ int main(int argc, char *argv[]) cout << "Number of zones in the serial mesh: " << mesh_NE << endl; } + + // embedded + AnalyticalSurface *analyticalSurface = NULL; + Array cond_attr; + Array submesh_elems; + int max_attr = mesh->attributes.Max(); + int submesh_attr = max_attr + 1; + if (useEmbedded) + { + analyticalSurface = new AnalyticalSurface(geometricShape, mesh); + analyticalSurface->SetupElementStatus(); + + GridFunction &alpha = analyticalSurface->GetAlpha(); + for (int e = 0; e < mesh->GetNE(); e++) + { + double volfrac = alpha[e]; + if (volfrac == 1) + { + submesh_elems.Append(e); + } + } + + if (cond_attr.Size() == 0 && submesh_elems.Size() > 0) + { + for (int i=0; iSetAttribute(submesh_elems[i], submesh_attr); + } + mesh->SetAttributes(); + + if (cond_attr.Size() == 0) + { + cond_attr.Append(submesh_attr); + } + } + } + else + { + cond_attr.Append(1); + } + // Parallel partitioning of the mesh. ParMesh *pmesh = nullptr; const int num_tasks = Mpi::WorldSize(); int unit = 1; @@ -354,6 +443,7 @@ int main(int argc, char *argv[]) { cout << "Unknown partition type: " << partition_type << '\n'; } + delete[] nxyz; delete mesh; MPI_Finalize(); return 3; @@ -400,9 +490,51 @@ int main(int argc, char *argv[]) // Refine the mesh further in parallel to increase the resolution. for (int lev = 0; lev < rp_levels; lev++) { pmesh->UniformRefinement(); } - int NE = pmesh->GetNE(), ne_min, ne_max; - MPI_Reduce(&NE, &ne_min, 1, MPI_INT, MPI_MIN, 0, pmesh->GetComm()); - MPI_Reduce(&NE, &ne_max, 1, MPI_INT, MPI_MAX, 0, pmesh->GetComm()); + ParSubMesh pmesh_cond(ParSubMesh::CreateFromDomain(*pmesh, cond_attr)); + + /*double volume0 = pmesh_cond.GetElementVolume(0); + double h0; + switch (pmesh->GetElementBaseGeometry(0)) + { + case Geometry::SEGMENT: h0 = volume0; break; + case Geometry::SQUARE: h0 = sqrt(volume0); break; + case Geometry::TRIANGLE: h0 = sqrt(2.0 * volume0); break; + case Geometry::CUBE: h0 = pow(volume0, 1./3.); break; + case Geometry::TETRAHEDRON: h0 = pow(6.0 * volume0, 1./3.); break; + default: MFEM_ABORT("Unknown zone type!"); + } + h0 /= (double) order_v; + int max_bdr_attr = pmesh_cond.bdr_attributes.Max(); + for (int i = 0; i < pmesh_cond.GetNBE(); i++) + { + Element* bdr_elem = pmesh_cond.GetBdrElement(i); + Array bdr_vertices; + bdr_elem->GetVertices(bdr_vertices); + bool isImmersed = true; + for (int j = 0; j < bdr_vertices.Size(); j++) + { + double* coord = pmesh_cond.GetVertex(bdr_vertices[j]); + Vector d(3), tn(3), coord_vec(3); + d = 0.0, tn = 0.0; + coord_vec(0) = coord[0], coord_vec(1) = coord[1], coord_vec(2) = coord[2]; + analyticalSurface->ComputeDistanceAndNormal(coord_vec, d, tn); + double norm_d = d.Norml2(); + if (norm_d > 2 * h0) + { + isImmersed = false; + break; + } + } + if (isImmersed) + { + pmesh_cond.SetBdrAttribute(i, max_bdr_attr + 1); + } + } + pmesh_cond.SetAttributes(); + */ + int NE = pmesh_cond.GetNE(), ne_min, ne_max; + MPI_Reduce(&NE, &ne_min, 1, MPI_INT, MPI_MIN, 0, pmesh_cond.GetComm()); + MPI_Reduce(&NE, &ne_max, 1, MPI_INT, MPI_MAX, 0, pmesh_cond.GetComm()); if (myid == 0) { cout << "Zones min/max: " << ne_min << " " << ne_max << endl; } @@ -411,15 +543,17 @@ int main(int argc, char *argv[]) // - L2 (Bernstein, discontinuous) for specific internal energy. L2_FECollection L2FEC(order_e, dim, BasisType::Positive); H1_FECollection H1FEC(order_v, dim); - ParFiniteElementSpace L2FESpace(pmesh, &L2FEC); - ParFiniteElementSpace H1FESpace(pmesh, &H1FEC, pmesh->Dimension()); + ParFiniteElementSpace L2FESpace(&pmesh_cond, &L2FEC); + ParFiniteElementSpace H1FESpace(&pmesh_cond, &H1FEC, pmesh_cond.Dimension()); // Boundary conditions: all tests use v.n = 0 on the boundary, and we assume // that the boundaries are straight. Array ess_tdofs, ess_vdofs; + const bool BC_strong = false; + if (BC_strong) { - Array ess_bdr(pmesh->bdr_attributes.Max()), dofs_marker, dofs_list; - for (int d = 0; d < pmesh->Dimension(); d++) + Array ess_bdr(pmesh_cond.bdr_attributes.Max()), dofs_marker, dofs_list; + for (int d = 0; d < pmesh_cond.Dimension(); d++) { // Attributes 1/2/3 correspond to fixed-x/y/z boundaries, // i.e., we must enforce v_x/y/z = 0 for the velocity components. @@ -447,7 +581,6 @@ int main(int argc, char *argv[]) { cout << "Unknown ODE solver type: " << ode_solver_type << '\n'; } - delete pmesh; MPI_Finalize(); return 3; } @@ -485,12 +618,12 @@ int main(int argc, char *argv[]) e_gf.MakeRef(&L2FESpace, S, offset[2]); // Initialize x_gf using the starting mesh coordinates. - pmesh->SetNodalGridFunction(&x_gf); + pmesh_cond.SetNodalGridFunction(&x_gf); // Sync the data location of x_gf with its base, S x_gf.SyncAliasMemory(S); // Initialize the velocity. - VectorFunctionCoefficient v_coeff(pmesh->Dimension(), v0); + VectorFunctionCoefficient v_coeff(pmesh_cond.Dimension(), v0); v_gf.ProjectCoefficient(v_coeff); for (int i = 0; i < ess_vdofs.Size(); i++) { @@ -507,8 +640,8 @@ int main(int argc, char *argv[]) // time evolution. ParGridFunction rho0_gf(&L2FESpace); FunctionCoefficient rho0_coeff(rho0); - L2_FECollection l2_fec(order_e, pmesh->Dimension()); - ParFiniteElementSpace l2_fes(pmesh, &l2_fec); + L2_FECollection l2_fec(order_e, pmesh_cond.Dimension()); + ParFiniteElementSpace l2_fes(&pmesh_cond, &l2_fec); ParGridFunction l2_rho0_gf(&l2_fes), l2_e(&l2_fes); l2_rho0_gf.ProjectCoefficient(rho0_coeff); rho0_gf.ProjectGridFunction(l2_rho0_gf); @@ -530,8 +663,8 @@ int main(int argc, char *argv[]) // Piecewise constant ideal gas coefficient over the Lagrangian mesh. The // gamma values are projected on function that's constant on the moving mesh. - L2_FECollection mat_fec(0, pmesh->Dimension()); - ParFiniteElementSpace mat_fes(pmesh, &mat_fec); + L2_FECollection mat_fec(0, pmesh_cond.Dimension()); + ParFiniteElementSpace mat_fes(&pmesh_cond, &mat_fec); ParGridFunction mat_gf(&mat_fes); FunctionCoefficient mat_coeff(gamma_func); mat_gf.ProjectCoefficient(mat_coeff); @@ -540,7 +673,7 @@ int main(int argc, char *argv[]) int source = 0; bool visc = true, vorticity = false; switch (problem) { - case 0: if (pmesh->Dimension() == 2) { source = 1; } visc = false; break; + case 0: if (pmesh_cond.Dimension() == 2) { source = 1; } visc = false; break; case 1: visc = true; break; case 2: visc = true; break; case 3: visc = true; S.HostRead(); break; @@ -552,13 +685,22 @@ int main(int argc, char *argv[]) } if (impose_visc) { visc = true; } + if (useEmbedded) + { + ess_vdofs.SetSize(0); + } + // + const double pen_param = 20.0, + perimeter = 12.0; // TODO fix this. hydrodynamics::LagrangianHydroOperator hydro(S.Size(), - H1FESpace, L2FESpace, ess_tdofs, + H1FESpace, L2FESpace, + ess_vdofs, BC_strong, rho0_coeff, rho0_gf, mat_gf, source, cfl, visc, vorticity, p_assembly, cg_tol, cg_max_iter, ftz_tol, - order_q); + order_q, pen_param, perimeter, + analyticalSurface); socketstream vis_rho, vis_v, vis_e; char vishost[] = "localhost"; @@ -568,12 +710,13 @@ int main(int argc, char *argv[]) if (visualization || visit) { hydro.ComputeDensity(rho_gf); } const double energy_init = hydro.InternalEnergy(e_gf) + hydro.KineticEnergy(v_gf); + const double momentum_in = hydro.Momentum(v_gf); if (visualization) { // Make sure all MPI ranks have sent their 'v' solution before initiating // another set of GLVis connections (one from each rank): - MPI_Barrier(pmesh->GetComm()); + MPI_Barrier(pmesh_cond.GetComm()); vis_rho.precision(8); vis_v.precision(8); vis_e.precision(8); @@ -594,7 +737,7 @@ int main(int argc, char *argv[]) } // Save data for VisIt visualization. - VisItDataCollection visit_dc(basename, pmesh); + VisItDataCollection visit_dc(basename, &pmesh_cond); if (visit) { visit_dc.RegisterField("Density", &rho_gf); @@ -682,17 +825,19 @@ int main(int argc, char *argv[]) // Make sure that the mesh corresponds to the new solution state. This is // needed, because some time integrators use different S-type vectors // and the oper object might have redirected the mesh positions to those. - pmesh->NewNodes(x_gf, false); + pmesh_cond.NewNodes(x_gf, false); + //hydro.UpdateMassMatrices(rho0_coeff); + if (last_step || (ti % vis_steps) == 0) { double lnorm = e_gf * e_gf, norm; - MPI_Allreduce(&lnorm, &norm, 1, MPI_DOUBLE, MPI_SUM, pmesh->GetComm()); + MPI_Allreduce(&lnorm, &norm, 1, MPI_DOUBLE, MPI_SUM, pmesh_cond.GetComm()); if (mem_usage) { mem = GetMaxRssMB(); - MPI_Reduce(&mem, &mmax, 1, MPI_LONG, MPI_MAX, 0, pmesh->GetComm()); - MPI_Reduce(&mem, &msum, 1, MPI_LONG, MPI_SUM, 0, pmesh->GetComm()); + MPI_Reduce(&mem, &mmax, 1, MPI_LONG, MPI_MAX, 0, pmesh_cond.GetComm()); + MPI_Reduce(&mem, &msum, 1, MPI_LONG, MPI_SUM, 0, pmesh_cond.GetComm()); } // const double internal_energy = hydro.InternalEnergy(e_gf); // const double kinetic_energy = hydro.KineticEnergy(v_gf); @@ -722,7 +867,7 @@ int main(int argc, char *argv[]) // Make sure all ranks have sent their 'v' solution before initiating // another set of GLVis connections (one from each rank): - MPI_Barrier(pmesh->GetComm()); + MPI_Barrier(pmesh_cond.GetComm()); if (visualization || visit || gfprint) { hydro.ComputeDensity(rho_gf); } if (visualization) @@ -742,7 +887,6 @@ int main(int argc, char *argv[]) hydrodynamics::VisualizeField(vis_e, vishost, visport, e_gf, "Specific Internal Energy", Wx, Wy, Ww,Wh); - Wx += offx; } if (visit) @@ -762,7 +906,7 @@ int main(int argc, char *argv[]) std::ofstream mesh_ofs(mesh_name.str().c_str()); mesh_ofs.precision(8); - pmesh->PrintAsOne(mesh_ofs); + pmesh_cond.PrintAsOne(mesh_ofs); mesh_ofs.close(); std::ofstream rho_ofs(rho_name.str().c_str()); @@ -786,7 +930,7 @@ int main(int argc, char *argv[]) if (check) { double lnorm = e_gf * e_gf, norm; - MPI_Allreduce(&lnorm, &norm, 1, MPI_DOUBLE, MPI_SUM, pmesh->GetComm()); + MPI_Allreduce(&lnorm, &norm, 1, MPI_DOUBLE, MPI_SUM, pmesh_cond.GetComm()); const double e_norm = sqrt(norm); MFEM_VERIFY(rs_levels==0 && rp_levels==0, "check: rs, rp"); MFEM_VERIFY(order_v==2, "check: order_v"); @@ -810,22 +954,25 @@ int main(int argc, char *argv[]) case 7: steps *= 2; } - hydro.PrintTimingData(Mpi::Root(), steps, fom); +// hydro.PrintTimingData(Mpi::Root(), steps, fom); if (mem_usage) { mem = GetMaxRssMB(); - MPI_Reduce(&mem, &mmax, 1, MPI_LONG, MPI_MAX, 0, pmesh->GetComm()); - MPI_Reduce(&mem, &msum, 1, MPI_LONG, MPI_SUM, 0, pmesh->GetComm()); + MPI_Reduce(&mem, &mmax, 1, MPI_LONG, MPI_MAX, 0, pmesh_cond.GetComm()); + MPI_Reduce(&mem, &msum, 1, MPI_LONG, MPI_SUM, 0, pmesh_cond.GetComm()); } const double energy_final = hydro.InternalEnergy(e_gf) + hydro.KineticEnergy(v_gf); + const double momentum_out = hydro.Momentum(v_gf); if (Mpi::Root()) { cout << endl; cout << "Energy diff: " << std::scientific << std::setprecision(2) << fabs(energy_init - energy_final) << endl; + cout << "Moment diff: " << std::scientific << std::setprecision(2) + << fabs(momentum_in - momentum_out) << endl; if (mem_usage) { cout << "Maximum memory resident set size: " @@ -833,6 +980,104 @@ int main(int argc, char *argv[]) } } + // Position errors w.r.t. a perfect circle. + pmesh_cond.ExchangeFaceNbrData(); + if (strcmp(mesh_file, "data/refined.mesh") == 0) + { + auto ir = IntRules.Get(Geometry::SEGMENT, 12); + + double perim = 0.0, pos_error = 0.0; + for (int i = 0; i < pmesh_cond.GetNBE(); i++) + { + auto Tr = pmesh_cond.GetBdrFaceTransformations(i); + if (Tr == NULL) { continue; } + + auto ip_c = Geometries.GetCenter(Geometry::SEGMENT); + Vector pos(dim); + Tr->Transform(ip_c, pos); + if (!(pos(0) > 0.2 && pos(0) < 0.8 && + pos(1) > 0.2 && pos(1) < 0.8)) { continue; } + + for (int p = 0; p < ir.GetNPoints(); p++) + { + const IntegrationPoint &ip = ir.IntPoint(p); + Tr->SetAllIntPoints(&ip); + Vector vals; + x_gf.GetVectorValue(*Tr, ip, vals); + double err = sqrt((vals(0) - 0.5) * (vals(0) - 0.5) + + (vals(1) - 0.5) * (vals(1) - 0.5)); + err = fabs(err - 0.2); + + Vector nor(2); + CalcOrtho(Tr->Jacobian(), nor); + + double w = ip.weight * nor.Norml2(); + perim += w; + pos_error += w * err; + } + } + + MPI_Allreduce(MPI_IN_PLACE, &perim, 1, MPI_DOUBLE, MPI_SUM, pmesh_cond.GetComm()); + MPI_Allreduce(MPI_IN_PLACE, &pos_error, 1, MPI_DOUBLE, MPI_SUM, pmesh_cond.GetComm()); + + if (Mpi::Root()) + { + cout << "-- Points per face: " << ir.GetNPoints() << endl; + cout << "-- Perimeter error: " << fabs(perim - 2 * M_PI * 0.2) << endl + << "-- Position error: " << pos_error << endl; + } + } + + // Position errors w.r.t. a perfect sphere. + pmesh_cond.ExchangeFaceNbrData(); + if (strcmp(mesh_file, "data/sphere_hole_V4.msh") == 0) + { + auto ir = IntRules.Get(Geometry::SQUARE, 12); + + double perim = 0.0, pos_error = 0.0; + for (int i = 0; i < pmesh_cond.GetNBE(); i++) + { + auto Tr = pmesh_cond.GetBdrFaceTransformations(i); + if (Tr == NULL) { continue; } + + auto ip_c = Geometries.GetCenter(Geometry::SQUARE); + Vector pos(dim); + Tr->Transform(ip_c, pos); + if (!(pos(0) > -0.3 && pos(0) < 0.3 && + pos(1) > -0.3 && pos(1) < 0.3 && + pos(2) > -0.3 && pos(2) < 0.3)) { continue; } + + for (int p = 0; p < ir.GetNPoints(); p++) + { + const IntegrationPoint &ip = ir.IntPoint(p); + Tr->SetAllIntPoints(&ip); + Vector vals; + x_gf.GetVectorValue(*Tr, ip, vals); + double err = sqrt((vals(0) - 0.0) * (vals(0) - 0.0) + + (vals(1) - 0.0) * (vals(1) - 0.0) + + (vals(2) - 0.0) * (vals(2) - 0.0)); + err = fabs(err - 0.2); + + Vector nor(3); + CalcOrtho(Tr->Jacobian(), nor); + + double w = ip.weight * nor.Norml2(); + perim += w; + pos_error += w * err; + } + } + + MPI_Allreduce(MPI_IN_PLACE, &perim, 1, MPI_DOUBLE, MPI_SUM, pmesh_cond.GetComm()); + MPI_Allreduce(MPI_IN_PLACE, &pos_error, 1, MPI_DOUBLE, MPI_SUM, pmesh_cond.GetComm()); + + if (Mpi::Root()) + { + cout << "-- Points per face: " << ir.GetNPoints() << endl; + cout << "-- Perimeter error: " << fabs(perim - 4 * M_PI * 0.04) << endl + << "-- Position error: " << pos_error << endl; + } + } + // Print the error. // For problems 0 and 4 the exact velocity is constant in time. if (problem == 0 || problem == 4) @@ -856,7 +1101,6 @@ int main(int argc, char *argv[]) // Free the used memory. delete ode_solver; - delete pmesh; return 0; } diff --git a/laghos_assembly.cpp b/laghos_assembly.cpp index 60ee07f35..8387762a4 100644 --- a/laghos_assembly.cpp +++ b/laghos_assembly.cpp @@ -23,6 +23,72 @@ namespace mfem namespace hydrodynamics { + void BoundaryMixedForceIntegratorV2:: +AssembleFaceMatrix(const FiniteElement &trial_fe, const FiniteElement &test_fe, + FaceElementTransformations &Tr, DenseMatrix &elmat) +{ + const IntegrationRule *ir = &IntRules.Get(Tr.GetGeometryType(), order); + + const int nqp_face = IntRule->GetNPoints(); + const int vdim = Q.GetVDim(); + const int dof_trial = trial_fe.GetDof(); + const int dof_test = test_fe.GetDof(); + + elmat.SetSize(dof_test * vdim, dof_trial); + elmat = 0.0; + DenseMatrix loc_force(dof_test, vdim); + Vector shape_trial(dof_trial), shape_test(dof_test), + Vloc_force(loc_force.Data(), dof_test * vdim); + Vector qcoeff(vdim); + + for (int q = 0; q < nqp_face; q++) + { + const IntegrationPoint &ip_f = ir->IntPoint(q); + Tr.SetAllIntPoints(&ip_f); + const IntegrationPoint &ip_e = Tr.GetElement1IntPoint(); + + test_fe.CalcShape(ip_e, shape_test); + trial_fe.CalcShape(ip_e, shape_trial); + Q.Eval(qcoeff, Tr, ip_f); + + MultVWt(shape_test, qcoeff, loc_force); + AddMultVWt(Vloc_force, shape_trial, elmat); + } +} + +void BoundaryMixedForceTIntegrator:: +AssembleFaceMatrix(const FiniteElement &trial_fe, const FiniteElement &test_fe, + FaceElementTransformations &Tr, DenseMatrix &elmat) +{ + const IntegrationRule *ir = &IntRules.Get(trial_fe.GetGeomType(), order); + + const int nqp_face = IntRule->GetNPoints(); + const int vdim = Q.GetVDim(); + const int dof_trial = trial_fe.GetDof(); + const int dof_test = test_fe.GetDof(); + + elmat.SetSize(dof_test, dof_trial * vdim); + elmat = 0.0; + DenseMatrix loc_force(dof_trial, vdim); + Vector shape_trial(dof_trial), shape_test(dof_test), + Vloc_force(loc_force.Data(), dof_trial * vdim); + Vector qcoeff(vdim); + + for (int q = 0; q < nqp_face; q++) + { + const IntegrationPoint &ip_f = IntRule->IntPoint(q); + Tr.SetAllIntPoints(&ip_f); + const IntegrationPoint &ip_e = Tr.GetElement1IntPoint(); + + test_fe.CalcShape(ip_e, shape_test); + trial_fe.CalcShape(ip_e, shape_trial); + Q.Eval(qcoeff, Tr, ip_f); + + MultVWt(shape_trial, qcoeff, loc_force); + AddMultVWt(shape_test, Vloc_force, elmat); + } +} + void DensityIntegrator::AssembleRHSElementVect(const FiniteElement &fe, ElementTransformation &Tr, Vector &elvect) @@ -54,9 +120,11 @@ void ForceIntegrator::AssembleElementMatrix2(const FiniteElement &trial_fe, elmat = 0.0; DenseMatrix vshape(h1dofs_cnt, dim), loc_force(h1dofs_cnt, dim); Vector shape(l2dofs_cnt), Vloc_force(loc_force.Data(), h1dofs_cnt*dim); + const IntegrationRule *ir = &IntRules.Get(trial_fe.GetGeomType(), order); + for (int q = 0; q < nqp; q++) { - const IntegrationPoint &ip = IntRule->IntPoint(q); + const IntegrationPoint &ip = ir->IntPoint(q); // Form stress:grad_shape at the current point. test_fe.CalcDShape(ip, vshape); for (int i = 0; i < h1dofs_cnt; i++) @@ -68,7 +136,7 @@ void ForceIntegrator::AssembleElementMatrix2(const FiniteElement &trial_fe, { const int eq = e*nqp + q; const double stressJinvT = qdata.stressJinvT(vd)(eq, gd); - loc_force(i, vd) += stressJinvT * vshape(i,gd); + loc_force(i, vd) += stressJinvT * vshape(i,gd); } } } diff --git a/laghos_assembly.hpp b/laghos_assembly.hpp index 0699352e7..8c0f3a5e1 100644 --- a/laghos_assembly.hpp +++ b/laghos_assembly.hpp @@ -40,12 +40,26 @@ struct QuadratureData // It must be recomputed in every time step. DenseTensor stressJinvT; + // Quadrature data for the boundary force: integration by part; + DenseTensor be_force_data; + // Quadrature data for the boundary force: integration by part; + DenseTensor be_force_data_ibp; + // Quadrature data for the boundary force: penalty term; + DenseTensor be_force_data_pen; + // Quadrature data for the boundary mass matrix; + DenseTensor be_mass_data; + // Quadrature data for the boundary energy force: integration by part; + DenseTensor fe_force_data_ibp; + // Quadrature data for the boundary energy force: penalty term; + DenseTensor fe_force_data_pen; + // Quadrature data used for full/partial assembly of the mass matrices. // At time zero, we compute and store (rho0 * det(J0) * qp_weight) at each // quadrature point. Note the at any other time, we can compute // rho = rho0 * det(J0) / det(J), representing the notion of pointwise mass // conservation. Vector rho0DetJ0w; + Vector rho0DetJ0_be; // Initial length scale. This represents a notion of local mesh size. // We assume that all initial zones have similar size. @@ -55,10 +69,166 @@ struct QuadratureData // recomputed at every time step to achieve adaptive time stepping. double dt_est; - QuadratureData(int dim, int NE, int quads_per_el) + int quads_per_el; + + int quads_per_be; + + QuadratureData(int dim, int NE, int quads_per_el, int NBE, int quads_per_be) : Jac0inv(dim, dim, NE * quads_per_el), stressJinvT(NE * quads_per_el, dim, dim), - rho0DetJ0w(NE * quads_per_el) { } + be_force_data(NBE, quads_per_be, dim), + be_force_data_ibp(NBE, quads_per_be, dim), + be_force_data_pen(NBE, quads_per_be, dim), + fe_force_data_ibp(NBE, quads_per_be, dim), + fe_force_data_pen(NBE, quads_per_be, dim), + be_mass_data(dim, dim, NBE * quads_per_be), + rho0DetJ0w(NE * quads_per_el), + rho0DetJ0_be(NBE * quads_per_be), + quads_per_el(quads_per_el), + quads_per_be(quads_per_be){ } +}; + +class BdrForceCoefficient : public VectorCoefficient +{ +private: + const QuadratureData &qdata; + +public: + BdrForceCoefficient(const QuadratureData &qd) + : VectorCoefficient(qd.Jac0inv.SizeI()), qdata(qd) { } + + void Eval(Vector &V, ElementTransformation &Tr_f, + const IntegrationPoint &ip_f) override + { + for (int d = 0; d < vdim; d++) + { + V(d) = qdata.be_force_data(Tr_f.ElementNo, ip_f.index, d); + } + } +}; + +class BdrForceCoefficientIBP : public VectorCoefficient +{ +private: + const QuadratureData &qdata; + +public: + BdrForceCoefficientIBP(const QuadratureData &qd) + : VectorCoefficient(qd.Jac0inv.SizeI()), qdata(qd) { } + + void Eval(Vector &V, ElementTransformation &Tr_f, + const IntegrationPoint &ip_f) override + { + for (int d = 0; d < vdim; d++) + { + V(d) = qdata.be_force_data_ibp(Tr_f.ElementNo, ip_f.index, d); + } + } +}; + +class BdrForceCoefficientPen : public VectorCoefficient +{ +private: + const QuadratureData &qdata; + +public: + BdrForceCoefficientPen(const QuadratureData &qd) + : VectorCoefficient(qd.Jac0inv.SizeI()), qdata(qd) { } + + void Eval(Vector &V, ElementTransformation &Tr_f, + const IntegrationPoint &ip_f) override + { + for (int d = 0; d < vdim; d++) + { + V(d) = qdata.be_force_data_pen(Tr_f.ElementNo, ip_f.index, d); + } + } +}; + +class BdrEnergyForceCoefficientIBP : public VectorCoefficient +{ +private: + const QuadratureData &qdata; + +public: + BdrEnergyForceCoefficientIBP(const QuadratureData &qd) + : VectorCoefficient(qd.Jac0inv.SizeI()), qdata(qd) { } + + void Eval(Vector &V, ElementTransformation &Tr_f, + const IntegrationPoint &ip_f) override + { + for (int d = 0; d < vdim; d++) + { + V(d) = qdata.fe_force_data_ibp(Tr_f.ElementNo, ip_f.index, d); + } + } +}; + +class BdrEnergyForceCoefficientPen : public VectorCoefficient +{ +private: + const QuadratureData &qdata; + +public: + BdrEnergyForceCoefficientPen(const QuadratureData &qd) + : VectorCoefficient(qd.Jac0inv.SizeI()), qdata(qd) { } + + void Eval(Vector &V, ElementTransformation &Tr_f, + const IntegrationPoint &ip_f) override + { + for (int d = 0; d < vdim; d++) + { + V(d) = qdata.fe_force_data_pen(Tr_f.ElementNo, ip_f.index, d); + } + } +}; + +class BdrMassCoefficient : public MatrixCoefficient +{ +private: + const QuadratureData &qdata; + const int nqp_per_face; + +public: + BdrMassCoefficient(const QuadratureData &qd) + : MatrixCoefficient(qd.Jac0inv.SizeI()), + qdata(qd), nqp_per_face(qdata.be_force_data.SizeJ()) { } + + void Eval(DenseMatrix &K, ElementTransformation &Tr_f, + const IntegrationPoint &ip) override + { + K.Set(1.0, qdata.be_mass_data(Tr_f.ElementNo * nqp_per_face + ip.index)); + } +}; + +class InteriorMassCoefficient : public Coefficient +{ +private: + const QuadratureData &qdata; + +public: + InteriorMassCoefficient(const QuadratureData &qd) + : qdata(qd) { } + + real_t Eval(ElementTransformation &Tr_f, const IntegrationPoint &ip) override + { + return qdata.rho0DetJ0w(Tr_f.ElementNo * qdata.quads_per_el + ip.index); + } +}; + +class BdrJacobianCoefficient : public Coefficient +{ +private: + const QuadratureData &qdata; + +public: + BdrJacobianCoefficient(const QuadratureData &qd) + : qdata(qd) { } + + real_t Eval(ElementTransformation &Tr_f, const IntegrationPoint &ip) override + { + return qdata.rho0DetJ0_be(Tr_f.ElementNo * qdata.quads_per_be + ip.index); + } }; // This class is used only for visualization. It assembles (rho, phi) in each @@ -82,14 +252,46 @@ class ForceIntegrator : public BilinearFormIntegrator { private: const QuadratureData &qdata; + int order; public: - ForceIntegrator(QuadratureData &qdata) : qdata(qdata) { } + ForceIntegrator(QuadratureData &qdata, int order) : qdata(qdata), order(order) { } virtual void AssembleElementMatrix2(const FiniteElement &trial_fe, const FiniteElement &test_fe, ElementTransformation &Tr, DenseMatrix &elmat); }; +class BoundaryMixedForceIntegratorV2 : public BilinearFormIntegrator +{ +protected: + VectorCoefficient &Q; + int order; + +public: + BoundaryMixedForceIntegratorV2(VectorCoefficient &vc, int order) : Q(vc), order(order) { } + + void AssembleFaceMatrix(const FiniteElement &trial_fe, + const FiniteElement &test_fe, + FaceElementTransformations &Tr, + DenseMatrix &elmat) override; +}; + +class BoundaryMixedForceTIntegrator : public BilinearFormIntegrator +{ +protected: + VectorCoefficient &Q; + int order; +public: + BoundaryMixedForceTIntegrator(VectorCoefficient &vc, int order) : Q(vc), order(order) { } + + /// Expected use is with MixedBilinearForm::AddBdrFaceIntegrator(), where + /// @a el1 and @a el2 are for the (mixed) volumetric neighbor of the face. + void AssembleFaceMatrix(const FiniteElement &trial_fe, + const FiniteElement &test_fe, + FaceElementTransformations &Tr, + DenseMatrix &elmat) override; +}; + // Performs partial assembly for the force operator. class ForcePAOperator : public Operator { diff --git a/laghos_mass_integrators.cpp b/laghos_mass_integrators.cpp new file mode 100644 index 000000000..60891c5e2 --- /dev/null +++ b/laghos_mass_integrators.cpp @@ -0,0 +1,112 @@ +// Copyright (cA) 2017, Lawrence Livermore National Security, LLC. Produced at +// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights +// reserved. See files LICENSE and NOTICE for details. +// +// This file is part of CEED, a collection of benchmarks, miniapps, software +// libraries and APIs for efficient high-order finite element and spectral +// element discretizations for exascale applications. For more information and +// source code availability see http://github.com/ceed. +// +// The CEED research is supported by the Exascale Computing Project (17-SC-20-SC) +// a collaborative effort of two U.S. Department of Energy organizations (Office +// of Science and the National Nuclear Security Administration) responsible for +// the planning and preparation of a capable exascale ecosystem, including +// software, applications, hardware, advanced system engineering and early +// testbed platforms, in support of the nation's exascale computing imperative. + +#include "laghos_solver.hpp" +#include "laghos_mass_integrators.hpp" + +using namespace std; +namespace mfem +{ + +namespace hydrodynamics +{ + +void InteriorVectorMassIntegrator::AssembleElementMatrix(const FiniteElement &el, ElementTransformation &Trans, DenseMatrix &elmat ) +{ + int nd = el.GetDof(); + int vdim = Trans.GetSpaceDim(); + + real_t norm; + + elmat.SetSize(nd*vdim); + shape.SetSize(nd); + partelmat.SetSize(nd); + + const IntegrationRule *ir = &IntRules.Get(el.GetGeomType(), order); + + elmat = 0.0; + for (int s = 0; s < ir->GetNPoints(); s++) + { + const IntegrationPoint &ip = ir->IntPoint(s); + el.CalcShape(ip, shape); + + Trans.SetIntPoint(&ip); + norm = ip.weight * Trans.Weight(); + + MultVVt(shape, partelmat); + double detJ = Trans.Jacobian().Det(); + double coeff = Q.Eval(Trans, ip) / detJ / ip.weight; + norm *= coeff; + partelmat *= norm; + + for (int k = 0; k < vdim; k++) + { + elmat.AddMatrix(partelmat, nd*k, nd*k); + } + } +} + +void BoundaryVectorMassIntegratorV2::AssembleFaceMatrix(const FiniteElement &el1, + const FiniteElement &el2, + FaceElementTransformations &Tr, + DenseMatrix &elmat) +{ + int nd = el1.GetDof(); + int vdim = Tr.GetSpaceDim() + 1; + elmat.SetSize(nd*vdim); + shape.SetSize(nd); + partelmat.SetSize(nd); + + const IntegrationRule *ir = &IntRules.Get(el1.GetGeomType(), order); + + elmat = 0.0; + for (int s = 0; s < ir->GetNPoints(); s++) + { + const IntegrationPoint &ip_f = ir->IntPoint(s); + // Set the integration point in the face and the neighboring elements + Tr.SetAllIntPoints(&ip_f); + + double coeff = Q.Eval(Tr, ip_f); + const IntegrationPoint &eip1 = Tr.GetElement1IntPoint(); + ElementTransformation& Trans_el1 = Tr.GetElement1Transformation(); + + Vector nor(vdim); + CalcOrtho(Tr.Jacobian(), nor); + double nor_norm = sqrt(nor * nor); + Vector tn(nor); + tn /= nor_norm; + el1.CalcShape(eip1, shape); + + double detJ = Trans_el1.Jacobian().Det(); + coeff /= detJ; + + MultVVt(shape, partelmat); + double penalty_mass = (1.0 / std::pow(Trans_el1.Weight(), 1.0/vdim)) * perimeter * C_I * wall_bc_penalty * perimeter; + + for (int dx = 0; dx < vdim; dx++) + { + for (int dy = 0; dy < vdim; dy++) + { + double mcoeff = coeff * tn(dx) * tn(dy) * nor_norm * ip_f.weight * penalty_mass; + elmat.AddMatrix(mcoeff, partelmat, nd*dx, nd*dy); + } + } + } +} + +} // namespace hydrodynamics + +} // namespace mfem diff --git a/laghos_mass_integrators.hpp b/laghos_mass_integrators.hpp new file mode 100644 index 000000000..a7f70f4e9 --- /dev/null +++ b/laghos_mass_integrators.hpp @@ -0,0 +1,74 @@ +// Copyright (c) 2017, LawrenceA Livermore National Security, LLC. Produced at +// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights +// reserved. See files LICENSE and NOTICE for details. +// +// This file is part of CEED, a collection of benchmarks, miniapps, software +// libraries and APIs for efficient high-order finite element and spectral +// element discretizations for exascale applications. For more information and +// source code availability see http://github.com/ceed. +// +// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, +// a collaborative effort of two U.S. Department of Energy organizations (Office +// of Science and the National Nuclear Security Administration) responsible for +// the planning and preparation of a capable exascale ecosystem, including +// software, applications, hardware, advanced system engineering and early +// testbed platforms, in support of the nation's exascale computing imperative. + +#ifndef MFEM_LAGHOS_MASS_INTEGRATORS +#define MFEM_LAGHOS_MASS_INTEGRATORS + +#include "mfem.hpp" +#include "laghos_assembly.hpp" + +namespace mfem +{ + +namespace hydrodynamics +{ + +class InteriorVectorMassIntegrator : public BilinearFormIntegrator +{ +protected: + Coefficient &Q; + int order; + Vector shape; + DenseMatrix partelmat; + +public: + /// The given MatrixCoefficient fully couples the vector components, i.e., + /// the local (dof x vdim) matrices have no zero blocks. + InteriorVectorMassIntegrator(Coefficient &Q, const IntegrationRule *ir, int order) + : BilinearFormIntegrator(ir), Q(Q), order(order) { } + + virtual void AssembleElementMatrix(const FiniteElement &el, + ElementTransformation &Tr, + DenseMatrix &elmat); +}; + +class BoundaryVectorMassIntegratorV2 : public BilinearFormIntegrator +{ +protected: + Coefficient &Q; + int order; + Vector shape; + DenseMatrix partelmat; + double wall_bc_penalty; + double C_I; + double perimeter; +public: + /// The given MatrixCoefficient fully couples the vector components, i.e., + /// the local (dof x vdim) matrices have no zero blocks. + BoundaryVectorMassIntegratorV2(Coefficient &Q, const IntegrationRule *ir, int order, double wall_bc_penalty, double C_I, double perimeter) + : BilinearFormIntegrator(ir), Q(Q), order(order), wall_bc_penalty(wall_bc_penalty), C_I(C_I), perimeter(perimeter) { } + + void AssembleFaceMatrix(const FiniteElement &el1, + const FiniteElement &el2, + FaceElementTransformations &Tr, + DenseMatrix &elmat) override; +}; + +} // namespace hydrodynamics + +} // namespace mfem + +#endif // MFEM_LAGHOS_SHIFT diff --git a/laghos_shift.cpp b/laghos_shift.cpp new file mode 100644 index 000000000..e5f0e056a --- /dev/null +++ b/laghos_shift.cpp @@ -0,0 +1,312 @@ +// Copyright (cA) 2017, Lawrence Livermore National Security, LLC. Produced at +// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights +// reserved. See files LICENSE and NOTICE for details. +// +// This file is part of CEED, a collection of benchmarks, miniapps, software +// libraries and APIs for efficient high-order finite element and spectral +// element discretizations for exascale applications. For more information and +// source code availability see http://github.com/ceed. +// +// The CEED research is supported by the Exascale Computing Project (17-SC-20-SC) +// a collaborative effort of two U.S. Department of Energy organizations (Office +// of Science and the National Nuclear Security Administration) responsible for +// the planning and preparation of a capable exascale ecosystem, including +// software, applications, hardware, advanced system engineering and early +// testbed platforms, in support of the nation's exascale computing imperative. + +#include "laghos_shift.hpp" +#include "laghos_solver.hpp" + +using namespace std; +namespace mfem +{ + +namespace hydrodynamics +{ + +void shift_shape(const ParFiniteElementSpace &pfes_e_const, + const ParFiniteElementSpace &pfes_p, + int e_id, + const IntegrationPoint &ip, const Vector &dist, + int nterms, Vector &shape_shift) +{ + auto pfes_e = const_cast(&pfes_e_const); + const int NE = pfes_e->GetNE(); + const FiniteElement &el_e = + (e_id < NE) ? *pfes_e->GetFE(e_id) : *pfes_e->GetFaceNbrFE(e_id - NE); + const FiniteElement &el_p = + (e_id < NE) ? *pfes_p.GetFE(e_id) : *pfes_p.GetFaceNbrFE(e_id - NE); + const int dim = pfes_e->GetMesh()->Dimension(), + dof_e = el_e.GetDof(), dof_p = el_p.GetDof(); + + IsoparametricTransformation el_tr; + if (e_id < NE) + { + pfes_e->GetElementTransformation(e_id, &el_tr); + } + else + { + pfes_e->GetParMesh()->GetFaceNbrElementTransformation(e_id - NE, el_tr); + } + DenseMatrix grad_phys; + DenseMatrix Transfer_pe; + el_p.Project(el_e, el_tr, Transfer_pe); + el_p.ProjectGrad(el_p, el_tr, grad_phys); + + Vector s(dim*dof_p), t(dof_p); + for (int j = 0; j < dof_e; j++) + { + // Shape function transformed into the p space. + Vector u_shape_e(dof_e), u_shape_p(dof_p); + u_shape_e = 0.0; + u_shape_e(j) = 1.0; + Transfer_pe.Mult(u_shape_e, u_shape_p); + + t = u_shape_p; + int factorial = 1; + for (int i = 1; i < nterms + 1; i++) + { + factorial = factorial*i; + grad_phys.Mult(t, s); + for (int j = 0; j < dof_p; j++) + { + t(j) = 0.0; + for(int d = 0; d < dim; d++) + { + t(j) = t(j) + s(j + d * dof_p) * dist(d); + } + } + u_shape_p.Add(1.0/double(factorial), t); + } + + el_tr.SetIntPoint(&ip); + el_p.CalcPhysShape(el_tr, t); + shape_shift(j) = t * u_shape_p; + } +} + +void get_shifted_value(const ParGridFunction &g, int e_id, + const IntegrationPoint &ip, const Vector &dist, + int nterms, Vector &shifted_vec) +{ + auto pfes = const_cast(g.ParFESpace()); + const int NE = pfes->GetNE(); + const FiniteElement &el = + (e_id < NE) ? *pfes->GetFE(e_id) : *pfes->GetFaceNbrFE(e_id - NE); + const int dim = pfes->GetMesh()->Dimension(), dof = el.GetDof(); + const int vdim = pfes->GetVDim(); + + IsoparametricTransformation el_tr; + if (e_id < NE) + { + pfes->GetElementTransformation(e_id, &el_tr); + } + else + { + pfes->GetParMesh()->GetFaceNbrElementTransformation(e_id - NE, el_tr); + } + DenseMatrix grad_phys; + el.ProjectGrad(el, el_tr, grad_phys); + + Array vdofs; + Vector u(dof), s(dim*dof), t(dof), g_loc(vdim*dof); + if (e_id < NE) + { + g.FESpace()->GetElementVDofs(e_id, vdofs); + g.GetSubVector(vdofs, g_loc); + } + else + { + g.ParFESpace()->GetFaceNbrElementVDofs(e_id - NE, vdofs); + g.FaceNbrData().GetSubVector(vdofs, g_loc); + } + + for (int c = 0; c < vdim; c++) + { + u.SetDataAndSize(g_loc.GetData() + c*dof, dof); + + t = u; + int factorial = 1; + for (int i = 1; i < nterms + 1; i++) + { + factorial = factorial*i; + grad_phys.Mult(t, s); + for (int j = 0; j < dof; j++) + { + t(j) = 0.0; + for(int d = 0; d < dim; d++) + { + t(j) = t(j) + s(j + d * dof) * dist(d); + } + } + u.Add(1.0/double(factorial), t); + } + + el_tr.SetIntPoint(&ip); + el.CalcPhysShape(el_tr, t); + shifted_vec(c) = t * u; + } +} + + +void SBM_BoundaryVectorMassIntegrator:: +AssembleFaceMatrix(const FiniteElement &el1, const FiniteElement &el2, + FaceElementTransformations &Tr, DenseMatrix &elmat) +{ + const IntegrationRule *ir = &IntRules.Get(el1.GetGeomType(), int_order); + + const int nqp_face = ir->GetNPoints(); + const int dof = el1.GetDof(); + int vdim = Tr.GetSpaceDim() + 1; + + elmat.SetSize(dof * vdim); + elmat = 0.0; + + shape.SetSize(dof); + partelmat.SetSize(dof); + for (int q = 0; q < nqp_face; q++) + { + const IntegrationPoint &ip_f = ir->IntPoint(q); + // Set the integration point in the face and the neighboring elements + Tr.SetAllIntPoints(&ip_f); + + double coeff = Q->Eval(Tr, ip_f); + //double coeff = rho0_max; + const IntegrationPoint &eip1 = Tr.GetElement1IntPoint(); + ElementTransformation& Trans_el1 = Tr.GetElement1Transformation(); + + Vector nor(vdim); + CalcOrtho(Tr.Jacobian(), nor); + + double nor_norm = sqrt(nor * nor); + Vector tn(nor); + tn /= nor_norm; + + Vector position; + Trans_el1.Transform(eip1, position); + Vector dist; + Vector true_n; + geom.ComputeDistanceAndNormal(position, dist, true_n); + shift_shape(H1, H1, Trans_el1.ElementNo, eip1, dist, H1.GetElementOrder(0), shape); + //true_n = tn; + double nDotNtilda = true_n * tn; + double detJ = Trans_el1.Jacobian().Det(); + coeff /= std::abs(detJ); + MultVVt(shape, partelmat); + double penalty_mass = (1.0 / std::pow(Trans_el1.Weight(), 1.0/vdim)) * perimeter * C_I * wall_bc_penalty; + for (int i = 0; i < vdim; i++) + { + for (int j = 0; j < vdim; j++) + { + double mcoeff = coeff * true_n(i) * true_n(j) * nor_norm * ip_f.weight * penalty_mass * std::pow(nDotNtilda, 2.0); + elmat.AddMatrix(mcoeff, partelmat, dof*i, dof*j); + } + } + } +} + +void SBM_BoundaryMixedForceIntegrator:: +AssembleFaceMatrix(const FiniteElement &trial_fe, const FiniteElement &test_fe, + FaceElementTransformations &Tr, DenseMatrix &elmat) +{ + const IntegrationRule *ir = &IntRules.Get(Tr.GetGeometryType(), int_order); + + const int nqp_face = ir->GetNPoints(); + const int vdim = Q_ibp.GetVDim(); + const int dof_trial = trial_fe.GetDof(); + const int dof_test = test_fe.GetDof(); + + elmat.SetSize(dof_test * vdim, dof_trial); + elmat = 0.0; + DenseMatrix loc_force_ibp(dof_test, vdim); + DenseMatrix loc_force_pen(dof_test, vdim); + + Vector shape_trial(dof_trial), shape_test(dof_test), + sbm_shape_test(dof_test), + Vloc_force_ibp(loc_force_ibp.Data(), dof_test * vdim), + Vloc_force_pen(loc_force_pen.Data(), dof_test * vdim); + + Vector qcoeff_ibp(vdim); + Vector qcoeff_pen(vdim); + + for (int q = 0; q < nqp_face; q++) + { + const IntegrationPoint &ip_f = ir->IntPoint(q); + Tr.SetAllIntPoints(&ip_f); + Q_ibp.Eval(qcoeff_ibp, Tr, ip_f); + Q_pen.Eval(qcoeff_pen, Tr, ip_f); + const IntegrationPoint &eip1 = Tr.GetElement1IntPoint(); + + ElementTransformation& Trans_el1 = Tr.GetElement1Transformation(); + Vector position; + Trans_el1.Transform(eip1, position); + Vector dist; + Vector true_n; + geom.ComputeDistanceAndNormal(position, dist, true_n); + shift_shape(H1, H1, Trans_el1.ElementNo, eip1, dist, 0, shape_test); + shift_shape(H1, H1, Trans_el1.ElementNo, eip1, dist, H1.GetElementOrder(0), sbm_shape_test); + + trial_fe.CalcShape(eip1, shape_trial); + + MultVWt(shape_test, qcoeff_ibp, loc_force_ibp); + MultVWt(sbm_shape_test, qcoeff_pen, loc_force_pen); + + loc_force_ibp += loc_force_pen; + AddMultVWt(Vloc_force_ibp, shape_trial, elmat); + } +} + + +void SBM_BoundaryMixedForceTIntegrator:: +AssembleFaceMatrix(const FiniteElement &trial_fe, const FiniteElement &test_fe, + FaceElementTransformations &Tr, DenseMatrix &elmat) +{ + const IntegrationRule *ir = &IntRules.Get(Tr.GetGeometryType(), int_order); + + const int nqp_face = ir->GetNPoints(); + const int vdim = Q_ibp.GetVDim(); + const int dof_trial = trial_fe.GetDof(); + const int dof_test = test_fe.GetDof(); + + elmat.SetSize(dof_test, dof_trial * vdim); + elmat = 0.0; + DenseMatrix loc_force_ibp(dof_trial, vdim); + DenseMatrix loc_force_pen(dof_trial, vdim); + + Vector shape_trial(dof_trial), sbm_shape_trial(dof_trial), shape_test(dof_test), + Vloc_force_ibp(loc_force_ibp.Data(), dof_trial * vdim), + Vloc_force_pen(loc_force_pen.Data(), dof_trial * vdim); + + Vector qcoeff_ibp(vdim); + Vector qcoeff_pen(vdim); + + for (int q = 0; q < nqp_face; q++) + { + const IntegrationPoint &ip_f = ir->IntPoint(q); + Tr.SetAllIntPoints(&ip_f); + Q_ibp.Eval(qcoeff_ibp, Tr, ip_f); + Q_pen.Eval(qcoeff_pen, Tr, ip_f); + const IntegrationPoint &eip1 = Tr.GetElement1IntPoint(); + + ElementTransformation& Trans_el1 = Tr.GetElement1Transformation(); + Vector position; + Trans_el1.Transform(eip1, position); + Vector dist; + Vector true_n; + geom.ComputeDistanceAndNormal(position, dist, true_n); + shift_shape(H1, H1, Trans_el1.ElementNo, eip1, dist, H1.GetElementOrder(0), shape_trial); + shift_shape(H1, H1, Trans_el1.ElementNo, eip1, dist, H1.GetElementOrder(0), sbm_shape_trial); + + test_fe.CalcShape(eip1, shape_test); + + MultVWt(sbm_shape_trial, qcoeff_ibp, loc_force_ibp); + MultVWt(shape_trial, qcoeff_pen, loc_force_pen); + + loc_force_ibp += loc_force_pen; + AddMultVWt(shape_test, Vloc_force_ibp, elmat); + } +} + +} // namespace hydrodynamics + +} // namespace mfem diff --git a/laghos_shift.hpp b/laghos_shift.hpp new file mode 100644 index 000000000..a816f1fdb --- /dev/null +++ b/laghos_shift.hpp @@ -0,0 +1,112 @@ +// Copyright (c) 2017, LawrenceA Livermore National Security, LLC. Produced at +// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights +// reserved. See files LICENSE and NOTICE for details. +// +// This file is part of CEED, a collection of benchmarks, miniapps, software +// libraries and APIs for efficient high-order finite element and spectral +// element discretizations for exascale applications. For more information and +// source code availability see http://github.com/ceed. +// +// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, +// a collaborative effort of two U.S. Department of Energy organizations (Office +// of Science and the National Nuclear Security Administration) responsible for +// the planning and preparation of a capable exascale ecosystem, including +// software, applications, hardware, advanced system engineering and early +// testbed platforms, in support of the nation's exascale computing imperative. + +#ifndef MFEM_LAGHOS_SHIFT +#define MFEM_LAGHOS_SHIFT + +#include "mfem.hpp" +#include "laghos_assembly.hpp" +#include "AnalyticalSurface.hpp" + +namespace mfem +{ + +namespace hydrodynamics +{ + +void shift_shape(const ParFiniteElementSpace &pfes_e_const, + const ParFiniteElementSpace &pfes_p, + int e_id, + const IntegrationPoint &ip, const Vector &dist, + int nterms, Vector &shape_shift); + +void get_shifted_value(const ParGridFunction &g, int e_id, + const IntegrationPoint &ip, const Vector &dist, + int nterms, Vector &shifted_vec); + + +class SBM_BoundaryVectorMassIntegrator : public VectorMassIntegrator +{ +protected: + const ParFiniteElementSpace &H1; + const AnalyticalGeometricShape& geom; + int num_taylor = 1; + int int_order; + double wall_bc_penalty; + double C_I; + double perimeter; + double rho0_max; +public: + /// The given MatrixCoefficient fully couples the vector components, i.e., + /// the local (dof x vdim) matrices have no zero blocks. + SBM_BoundaryVectorMassIntegrator(Coefficient &Q, const ParFiniteElementSpace &H1, const AnalyticalGeometricShape& geom, int num_taylor, int int_order, double wall_bc_penalty, double C_I, double perimeter, double rho0_max) + : VectorMassIntegrator(Q), H1(H1), geom(geom), num_taylor(num_taylor), int_order(int_order), wall_bc_penalty(wall_bc_penalty), C_I(C_I), perimeter(perimeter), rho0_max(rho0_max) { } + + /// Expected use is with BilinearForm::AddBdrFaceIntegrator(), where @a el1 + /// is for the volumetric neighbor of the boundary face, @a el2 is not used. + void AssembleFaceMatrix(const FiniteElement &el1, + const FiniteElement &el2, + FaceElementTransformations &Tr, + DenseMatrix &elmat) override; +}; + +class SBM_BoundaryMixedForceIntegrator : public BilinearFormIntegrator +{ +protected: + VectorCoefficient &Q_ibp; + VectorCoefficient &Q_pen; + const ParFiniteElementSpace &H1; + const AnalyticalGeometricShape& geom; + int num_taylor = 1; + int int_order; +public: + SBM_BoundaryMixedForceIntegrator(VectorCoefficient &vc_ibp, VectorCoefficient &vc_pen, const ParFiniteElementSpace &H1, const AnalyticalGeometricShape& geom, int num_taylor, int int_order) : Q_ibp(vc_ibp), Q_pen(vc_pen), H1(H1), geom(geom), num_taylor(num_taylor), int_order(int_order) { } + + /// Expected use is with MixedBilinearForm::AddBdrFaceIntegrator(), where + /// @a el1 and @a el2 are for the (mixed) volumetric neighbor of the face. + void AssembleFaceMatrix(const FiniteElement &trial_fe, + const FiniteElement &test_fe, + FaceElementTransformations &Tr, + DenseMatrix &elmat) override; +}; + + +class SBM_BoundaryMixedForceTIntegrator : public BilinearFormIntegrator +{ +protected: + VectorCoefficient &Q_ibp; + VectorCoefficient &Q_pen; + const ParFiniteElementSpace &H1; + const AnalyticalGeometricShape& geom; + int num_taylor = 1; + int int_order; +public: + SBM_BoundaryMixedForceTIntegrator(VectorCoefficient &vc_ibp, VectorCoefficient &vc_pen, const ParFiniteElementSpace &H1, const AnalyticalGeometricShape& geom, int num_taylor, int int_order) : Q_ibp(vc_ibp), Q_pen(vc_pen), H1(H1), geom(geom), num_taylor(num_taylor), int_order(int_order) { } + + /// Expected use is with MixedBilinearForm::AddBdrFaceIntegrator(), where + /// @a el1 and @a el2 are for the (mixed) volumetric neighbor of the face. + void AssembleFaceMatrix(const FiniteElement &trial_fe, + const FiniteElement &test_fe, + FaceElementTransformations &Tr, + DenseMatrix &elmat) override; +}; + + +} // namespace hydrodynamics + +} // namespace mfem + +#endif // MFEM_LAGHOS_SHIFT diff --git a/laghos_solver.cpp b/laghos_solver.cpp index fe9f9acdc..04a194ccf 100644 --- a/laghos_solver.cpp +++ b/laghos_solver.cpp @@ -92,6 +92,7 @@ LagrangianHydroOperator::LagrangianHydroOperator(const int size, ParFiniteElementSpace &h1, ParFiniteElementSpace &l2, const Array &ess_tdofs, + bool bcs, Coefficient &rho0_coeff, ParGridFunction &rho0_gf, ParGridFunction &gamma_gf, @@ -103,7 +104,10 @@ LagrangianHydroOperator::LagrangianHydroOperator(const int size, const double cgt, const int cgiter, double ftz, - const int oq) : + const int oq, + double bc_penalty, + double perimeter, + AnalyticalSurface* analyticalSurface) : TimeDependentOperator(size), H1(h1), L2(l2), H1c(H1.GetParMesh(), H1.FEColl(), 1), pmesh(H1.GetParMesh()), @@ -116,8 +120,9 @@ LagrangianHydroOperator::LagrangianHydroOperator(const int size, block_offsets(4), x_gf(&H1), ess_tdofs(ess_tdofs), + BC_strong(bcs), dim(pmesh->Dimension()), - NE(pmesh->GetNE()), + NE(pmesh->GetNE()), NBE(pmesh->GetNBE()), l2dofs_cnt(L2.GetFE(0)->GetDof()), h1dofs_cnt(H1.GetFE(0)->GetDof()), source_type(source), cfl(cfl), @@ -131,11 +136,20 @@ LagrangianHydroOperator::LagrangianHydroOperator(const int size, Me_inv(l2dofs_cnt, l2dofs_cnt, NE), ir(IntRules.Get(pmesh->GetElementBaseGeometry(0), (oq > 0) ? oq : 3 * H1.GetOrder(0) + L2.GetOrder(0) - 1)), + b_ir(IntRules.Get(pmesh->GetBdrElementBaseGeometry(0), + (oq > 0) ? oq : 3 * H1.GetOrder(0) + L2.GetOrder(0) - 1)), Q1D(int(floor(0.7 + pow(ir.GetNPoints(), 1.0 / dim)))), - qdata(dim, NE, ir.GetNPoints()), + qdata(dim, NE, ir.GetNPoints(), NBE, b_ir.GetNPoints()), + bdr_force_coeff(qdata), bdr_force_ibp_coeff(qdata), bdr_force_pen_coeff(qdata), + bdr_mass_coeff(qdata), + bdr_j_coeff(qdata), + mass_coeff(qdata), + bdr_en_ibp_force_coeff(qdata), bdr_en_pen_force_coeff(qdata), qdata_is_current(false), forcemat_is_assembled(false), - Force(&L2, &H1), + Force(&L2, &H1), Force_be(&L2, &H1), Force_be_T(&H1, &L2), + wall_bc_penalty(bc_penalty), C_I(0.0), + rho0_max(rho0_gf.Max()), perimeter(perimeter), ForcePA(nullptr), VMassPA(nullptr), EMassPA(nullptr), VMassPA_Jprec(nullptr), CG_VMass(H1.GetParMesh()->GetComm()), @@ -148,8 +162,29 @@ LagrangianHydroOperator::LagrangianHydroOperator(const int size, rhs(H1Vsize), e_rhs(L2Vsize), rhs_c_gf(&H1c), - dvc_gf(&H1c) + dvc_gf(&H1c), + bdr_attr_max( H1.GetMesh()->bdr_attributes.Max()), + analyticalSurface(analyticalSurface) { + ess_bdr_bf.SetSize(bdr_attr_max), ess_bdr_sbm.SetSize(bdr_attr_max); + ess_bdr_bf = 1; ess_bdr_sbm = 0; + if (analyticalSurface != nullptr) + { + ess_bdr_bf[bdr_attr_max-1] = 0; + ess_bdr_sbm[bdr_attr_max-1] = 1; + } +// H1.ExchangeFaceNbrData(); +// int n_bdr = 0; +// for (int be = 0; be < NBE; be++) +// { +// auto b_face_tr = pmesh->GetBdrFaceTransformations(be); +// if (b_face_tr == nullptr) { continue; } +// n_bdr++; +// } +// std::cout << NBE << " " << n_bdr << " " +// << H1.GetNFbyType(FaceType::Boundary) << std::endl; +// MFEM_ABORT("faces"); + block_offsets[0] = 0; block_offsets[1] = block_offsets[0] + H1Vsize; block_offsets[2] = block_offsets[1] + H1Vsize; @@ -157,6 +192,87 @@ LagrangianHydroOperator::LagrangianHydroOperator(const int size, one.UseDevice(true); one = 1.0; + const int order_v = H1.GetElementOrder(0); + switch (pmesh->GetElementBaseGeometry(0)) + { + case Geometry::TRIANGLE: + case Geometry::TETRAHEDRON: + { + C_I = (order_v+1)*(order_v+dim)/dim; + break; + } + case Geometry::SQUARE: + case Geometry::CUBE: + { + C_I = order_v*order_v; + break; + } + default: MFEM_ABORT("Unknown zone type!"); + } + + rho0_max = rho0_gf.Max(); + MPI_Allreduce(MPI_IN_PLACE, &rho0_max, 1, + MPI_DOUBLE, MPI_MAX, pmesh->GetComm()); + + // Values of rho0DetJ0 and Jac0inv at all quadrature points. + // Initial local mesh size (assumes all mesh elements are the same). + int Ne, ne = NE; + double Volume, vol = 0.0; + if (dim > 1 && p_assembly) + { + Rho0DetJ0Vol(dim, NE, ir, pmesh, L2, rho0_gf, qdata, vol); + } + else + { + const int NQ = ir.GetNPoints(); + Vector rho_vals(NQ); + for (int e = 0; e < NE; e++) + { + rho0_gf.GetValues(e, ir, rho_vals); + ElementTransformation &Tr = *H1.GetElementTransformation(e); + for (int q = 0; q < NQ; q++) + { + const IntegrationPoint &ip = ir.IntPoint(q); + Tr.SetIntPoint(&ip); + DenseMatrixInverse Jinv(Tr.Jacobian()); + Jinv.GetInverseMatrix(qdata.Jac0inv(e*NQ + q)); + const double rho0DetJ0 = Tr.Weight() * rho_vals(q); + qdata.rho0DetJ0w(e*NQ + q) = rho0DetJ0 * ir.IntPoint(q).weight; + } + } + for (int e = 0; e < NE; e++) { vol += pmesh->GetElementVolume(e); } + + for (int be = 0; be < NBE; be++) + { + int b_nqp = b_ir.GetNPoints(); + auto b_face_tr = pmesh->GetBdrFaceTransformations(be); + if (b_face_tr == nullptr) { continue; } + for (int q = 0; q < b_nqp; q++) + { + const IntegrationPoint &ip_f = b_ir.IntPoint(q); + b_face_tr->SetAllIntPoints(&ip_f); + ElementTransformation &tr_el = b_face_tr->GetElement1Transformation(); + qdata.rho0DetJ0_be(be * b_nqp + q) = + tr_el.Weight() * rho0_gf.GetValue(tr_el); + } + } + } + MPI_Allreduce(&vol, &Volume, 1, MPI_DOUBLE, MPI_SUM, pmesh->GetComm()); + MPI_Allreduce(&ne, &Ne, 1, MPI_INT, MPI_SUM, pmesh->GetComm()); + switch (pmesh->GetElementBaseGeometry(0)) + { + case Geometry::SEGMENT: qdata.h0 = Volume / Ne; break; + case Geometry::SQUARE: qdata.h0 = sqrt(Volume / Ne); break; + case Geometry::TRIANGLE: qdata.h0 = sqrt(2.0 * Volume / Ne); break; + case Geometry::CUBE: qdata.h0 = pow(Volume / Ne, 1./3.); break; + case Geometry::TETRAHEDRON: qdata.h0 = pow(6.0 * Volume / Ne, 1./3.); break; + default: MFEM_ABORT("Unknown zone type!"); + } + qdata.h0 /= (double) H1.GetOrder(0); + + //UpdateBdrQuadratureData(); + int int_order = (oq > 0) ? oq : 3 * H1.GetOrder(0) + L2.GetOrder(0) - 1; + if (p_assembly) { qupdate = new QUpdate(dim, NE, Q1D, visc, vort, cfl, @@ -201,52 +317,26 @@ LagrangianHydroOperator::LagrangianHydroOperator(const int size, inv.GetInverseMatrix(Me_inv(e)); } // Standard assembly for the velocity mass matrix. - VectorMassIntegrator *vmi = new VectorMassIntegrator(rho0_coeff, &ir); + InteriorVectorMassIntegrator *vmi = new InteriorVectorMassIntegrator(mass_coeff, &ir, int_order); Mv.AddDomainIntegrator(vmi); - Mv.Assemble(); - Mv_spmat_copy = Mv.SpMat(); - } - // Values of rho0DetJ0 and Jac0inv at all quadrature points. - // Initial local mesh size (assumes all mesh elements are the same). - int Ne, ne = NE; - double Volume, vol = 0.0; - if (dim > 1 && p_assembly) - { - Rho0DetJ0Vol(dim, NE, ir, pmesh, L2, rho0_gf, qdata, vol); - } - else - { - const int NQ = ir.GetNPoints(); - Vector rho_vals(NQ); - for (int e = 0; e < NE; e++) + Mv.BilinearForm::operator=(0.0); + + if (BC_strong == false) { - rho0_gf.GetValues(e, ir, rho_vals); - ElementTransformation &Tr = *H1.GetElementTransformation(e); - for (int q = 0; q < NQ; q++) - { - const IntegrationPoint &ip = ir.IntPoint(q); - Tr.SetIntPoint(&ip); - DenseMatrixInverse Jinv(Tr.Jacobian()); - Jinv.GetInverseMatrix(qdata.Jac0inv(e*NQ + q)); - const double rho0DetJ0 = Tr.Weight() * rho_vals(q); - qdata.rho0DetJ0w(e*NQ + q) = rho0DetJ0 * ir.IntPoint(q).weight; - } + auto nvmi = new BoundaryVectorMassIntegratorV2(bdr_j_coeff, &b_ir, int_order, wall_bc_penalty, C_I, perimeter); + nvmi->SetIntRule(&b_ir); + Mv.AddBdrFaceIntegrator(nvmi, ess_bdr_bf); + if (analyticalSurface != nullptr) + { + auto nvmi_sbm = new SBM_BoundaryVectorMassIntegrator(bdr_j_coeff, H1, analyticalSurface->GetAnalyticalGeometricShape(), H1.GetElementOrder(0), int_order, wall_bc_penalty, C_I, perimeter, rho0_max); + nvmi_sbm->SetIntRule(&b_ir); + Mv.AddBdrFaceIntegrator(nvmi_sbm, ess_bdr_sbm); + } } - for (int e = 0; e < NE; e++) { vol += pmesh->GetElementVolume(e); } - } - MPI_Allreduce(&vol, &Volume, 1, MPI_DOUBLE, MPI_SUM, pmesh->GetComm()); - MPI_Allreduce(&ne, &Ne, 1, MPI_INT, MPI_SUM, pmesh->GetComm()); - switch (pmesh->GetElementBaseGeometry(0)) - { - case Geometry::SEGMENT: qdata.h0 = Volume / Ne; break; - case Geometry::SQUARE: qdata.h0 = sqrt(Volume / Ne); break; - case Geometry::TRIANGLE: qdata.h0 = sqrt(2.0 * Volume / Ne); break; - case Geometry::CUBE: qdata.h0 = pow(Volume / Ne, 1./3.); break; - case Geometry::TETRAHEDRON: qdata.h0 = pow(6.0 * Volume / Ne, 1./3.); break; - default: MFEM_ABORT("Unknown zone type!"); + Mv.Assemble(); + Mv_spmat_copy = Mv.SpMat(); } - qdata.h0 /= (double) H1.GetOrder(0); if (p_assembly) { @@ -271,12 +361,36 @@ LagrangianHydroOperator::LagrangianHydroOperator(const int size, } else { - ForceIntegrator *fi = new ForceIntegrator(qdata); + ForceIntegrator *fi = new ForceIntegrator(qdata, int_order); fi->SetIntRule(&ir); Force.AddDomainIntegrator(fi); // Make a dummy assembly to figure out the sparsity. Force.Assemble(0); Force.Finalize(0); + + if (BC_strong == false) + { + auto vpb = new BoundaryMixedForceIntegratorV2(bdr_force_coeff, int_order); + vpb->SetIntRule(&b_ir); + Force_be.AddBdrFaceIntegrator(vpb, ess_bdr_bf); + auto vpb_T = new BoundaryMixedForceTIntegrator(bdr_force_coeff, int_order); + vpb_T->SetIntRule(&b_ir); + Force_be_T.AddBdrFaceIntegrator(vpb_T, ess_bdr_bf); + // Make a dummy assembly to figure out the sparsity. + if (analyticalSurface != nullptr) + { + auto vpb_sbm = new SBM_BoundaryMixedForceIntegrator(bdr_force_ibp_coeff, bdr_force_pen_coeff, H1, analyticalSurface->GetAnalyticalGeometricShape(), H1.GetElementOrder(0), int_order); + vpb_sbm->SetIntRule(&b_ir); + Force_be.AddBdrFaceIntegrator(vpb_sbm, ess_bdr_sbm); + auto vpb_sbm_T = new SBM_BoundaryMixedForceTIntegrator(bdr_en_ibp_force_coeff, bdr_en_pen_force_coeff, H1, analyticalSurface->GetAnalyticalGeometricShape(), H1.GetElementOrder(0), int_order); + vpb_sbm_T->SetIntRule(&b_ir); + Force_be_T.AddBdrFaceIntegrator(vpb_sbm_T, ess_bdr_sbm); + } + Force_be.Assemble(0); + Force_be.Finalize(0); + Force_be_T.Assemble(0); + Force_be_T.Finalize(0); + } } } @@ -318,6 +432,7 @@ void LagrangianHydroOperator::SolveVelocity(const Vector &S, { UpdateQuadratureData(S); AssembleForceMatrix(); + // The monolithic BlockVector stores the unknown fields as follows: // (Position, Velocity, Specific Internal Energy). ParGridFunction dv; @@ -380,6 +495,7 @@ void LagrangianHydroOperator::SolveVelocity(const Vector &S, { timer.sw_force.Start(); Force.Mult(one, rhs); + if (BC_strong == false) { Force_be.AddMult(one, rhs); } timer.sw_force.Stop(); rhs.Neg(); @@ -401,6 +517,8 @@ void LagrangianHydroOperator::SolveVelocity(const Vector &S, cg.SetRelTol(cg_rel_tol); cg.SetAbsTol(0.0); cg.SetMaxIter(cg_max_iter); + IterativeSolver::PrintLevel print_level; + print_level.Summary(); cg.SetPrintLevel(-1); timer.sw_cgH1.Start(); cg.Mult(B, X); @@ -414,7 +532,6 @@ void LagrangianHydroOperator::SolveEnergy(const Vector &S, const Vector &v, Vector &dS_dt) const { UpdateQuadratureData(S); - AssembleForceMatrix(); // The monolithic BlockVector stores the unknown fields as follows: // (Position, Velocity, Specific Internal Energy). @@ -455,7 +572,9 @@ void LagrangianHydroOperator::SolveEnergy(const Vector &S, const Vector &v, { timer.sw_force.Start(); Force.MultTranspose(v, e_rhs); + if (BC_strong == false) { Force_be_T.AddMult(v, e_rhs); } timer.sw_force.Stop(); + if (e_source) { e_rhs += *e_source; } Vector loc_rhs(l2dofs_cnt), loc_de(l2dofs_cnt); for (int e = 0; e < NE; e++) @@ -625,6 +744,12 @@ double LagrangianHydroOperator::KineticEnergy(const ParGridFunction &v) const { double glob_ke = 0.0, kinetic_energy = 0.0; + // This should be turned into a kernel so that it could be displayed in pa + double loc_ke = 0.5 * Mv_spmat_copy.InnerProduct(v, v); + MPI_Allreduce(&loc_ke, &glob_ke, 1, MPI_DOUBLE, MPI_SUM, + H1.GetParMesh()->GetComm()); + return glob_ke; + if (H1.GetNE() > 0) // UsesTensorBasis does not handle empty local mesh { auto H1ordering = @@ -651,6 +776,16 @@ double LagrangianHydroOperator::KineticEnergy(const ParGridFunction &v) const return 0.5*glob_ke; } +double LagrangianHydroOperator::Momentum(const ParGridFunction &v) const +{ + Vector one(Mv_spmat_copy.Height()); + one = 1.0; + double momentum = Mv_spmat_copy.InnerProduct(one, v); + + MPI_Allreduce(MPI_IN_PLACE, &momentum, 1, MPI_DOUBLE, MPI_SUM, H1.GetComm()); + return momentum; +} + void LagrangianHydroOperator::PrintTimingData(bool IamRoot, int steps, const bool fom) const { @@ -916,8 +1051,331 @@ void LagrangianHydroOperator::UpdateQuadratureData(const Vector &S) const delete [] Jpr_b; timer.sw_qdata.Stop(); timer.quad_tstep += NE; + + // Boundary integrals data. + int nqp_be = b_ir.GetNPoints(); + if (analyticalSurface != NULL) + { + for (int be = 0; be < NBE; be++) + { + auto b_face_tr = pmesh->GetBdrFaceTransformations(be); + if (b_face_tr == nullptr) { continue; } + int attr = pmesh->GetBdrAttribute(be); + if (attr != bdr_attr_max) + { + for (int q = 0; q < nqp_be; q++) + { + const IntegrationPoint &ip_f = b_ir.IntPoint(q); + b_face_tr->SetAllIntPoints(&ip_f); + ElementTransformation &tr_el = b_face_tr->GetElement1Transformation(); + const int z_id = tr_el.ElementNo; + + double en = fmax(0.0, e.GetValue(tr_el)); + double rho = qdata.rho0DetJ0_be(be * nqp_be + q) / tr_el.Weight(); + double p = (gamma_gf(z_id) - 1.0) * rho * en; + double cs = sqrt(gamma_gf(z_id) * (gamma_gf(z_id) - 1.0) * en); + double pen_scale = (gamma_gf(z_id) - 1.0) * rho * sqrt(en) / sqrt(gamma_gf(z_id) * (gamma_gf(z_id) - 1.0)); + + //double penalty_force = wall_bc_penalty * C_I * rho * cs; + double penalty_force = 0.0; + // sign of (sigma n). n + penalty_force = wall_bc_penalty * C_I * pen_scale; + + Vector nor(dim); + CalcOrtho(b_face_tr->Jacobian(), nor); + double nor_norm = sqrt(nor * nor); + + Vector tn(nor); + tn /= nor_norm; + + Vector vShape; + v.GetVectorValue(tr_el, tr_el.GetIntPoint(), vShape); + double vDotn = 0.0; + for (int d = 0; d < dim; d++) + { + vDotn += vShape(d) * nor(d) / nor_norm; + } + + DenseMatrix stress(dim); + stress = 0.0; + for (int d = 0; d < dim; d++) { stress(d, d) = - p; } + Vector weightedNormalStress(dim); + stress.Mult(tn, weightedNormalStress); + + for (int d = 0; d < dim; d++) + { + qdata.be_force_data(be, q, d) = + ip_f.weight * nor_norm * + (vDotn * tn(d) * penalty_force - weightedNormalStress(d)); + } + } + } + else + { + for (int q = 0; q < nqp_be; q++) + { + const IntegrationPoint &ip_f = b_ir.IntPoint(q); + b_face_tr->SetAllIntPoints(&ip_f); + ElementTransformation &tr_el = b_face_tr->GetElement1Transformation(); + const int z_id = tr_el.ElementNo; + + double en = fmax(0.0, e.GetValue(tr_el)); + double rho = qdata.rho0DetJ0_be(be * nqp_be + q) / tr_el.Weight(); + double p = (gamma_gf(z_id) - 1.0) * rho * en; + double cs = sqrt(gamma_gf(z_id) * (gamma_gf(z_id) - 1.0) * en); + double pen_scale = (gamma_gf(z_id) - 1.0) * rho * sqrt(en) / sqrt(gamma_gf(z_id) * (gamma_gf(z_id) - 1.0)); + + //double penalty_force = wall_bc_penalty * C_I * rho * cs; + + double penalty_force = 0.0; + // sign of (sigma n). n + penalty_force = wall_bc_penalty * C_I * pen_scale; + + Vector nor(dim); + CalcOrtho(b_face_tr->Jacobian(), nor); + double nor_norm = sqrt(nor * nor); + + Vector tn(nor); + tn /= nor_norm; + + /* Shifted */ + const IntegrationPoint &eip1 = b_face_tr->GetElement1IntPoint(); + Vector position; + tr_el.Transform(eip1, position); + Vector dist; + Vector true_n; + analyticalSurface->ComputeDistanceAndNormal(position, dist, true_n); + //true_n = tn; + + double ndotNtilda = true_n * tn; + + Vector vShape(dim); + vShape = 0.0; + get_shifted_value(v, z_id, eip1, dist, H1.GetElementOrder(0), vShape); + //get_shifted_value(v, z_id, eip1, dist, 0, vShape); + + double vDotn = vShape * true_n; + DenseMatrix stress(dim); + stress = 0.0; + for (int d = 0; d < dim; d++) { stress(d, d) = - p; } + Vector weightedNormalStress(dim); + stress.Mult(tn, weightedNormalStress); + // (sigma ntilda).n + double sigmaNDotTrueN = weightedNormalStress * true_n; + + for (int d = 0; d < dim; d++) + { + qdata.be_force_data_ibp(be, q, d) = + -ip_f.weight * nor_norm * weightedNormalStress(d); + qdata.be_force_data_pen(be, q, d) = + ip_f.weight * nor_norm * + vDotn * true_n(d) * penalty_force * std::abs(ndotNtilda); + qdata.fe_force_data_ibp(be, q, d) = + - ip_f.weight * nor_norm * sigmaNDotTrueN * true_n(d); + qdata.fe_force_data_pen(be, q, d) = + ip_f.weight * nor_norm * vDotn * true_n(d) * penalty_force * std::abs(ndotNtilda); + } + } + } + } + } + else + { + for (int be = 0; be < NBE; be++) + { + auto b_face_tr = pmesh->GetBdrFaceTransformations(be); + if (b_face_tr == nullptr) { continue; } + int attr = pmesh->GetBdrAttribute(be); + for (int q = 0; q < nqp_be; q++) + { + const IntegrationPoint &ip_f = b_ir.IntPoint(q); + b_face_tr->SetAllIntPoints(&ip_f); + ElementTransformation &tr_el = b_face_tr->GetElement1Transformation(); + const int z_id = tr_el.ElementNo; + + double en = fmax(0.0, e.GetValue(tr_el)); + double rho = qdata.rho0DetJ0_be(be * nqp_be + q) / tr_el.Weight(); + double p = (gamma_gf(z_id) - 1.0) * rho * en; + double cs = sqrt(gamma_gf(z_id) * (gamma_gf(z_id) - 1.0) * en); + double pen_scale = (gamma_gf(z_id) - 1.0) * rho * sqrt(en) / sqrt(gamma_gf(z_id) * (gamma_gf(z_id) - 1.0)); + + //double penalty_force = wall_bc_penalty * C_I * rho * cs; + double penalty_force = 0.0; + // sign of (sigma n). n + penalty_force = wall_bc_penalty * C_I * pen_scale; + + Vector nor(dim); + CalcOrtho(b_face_tr->Jacobian(), nor); + double nor_norm = sqrt(nor * nor); + + Vector tn(nor); + tn /= nor_norm; + + Vector vShape; + v.GetVectorValue(tr_el, tr_el.GetIntPoint(), vShape); + double vDotn = 0.0; + for (int d = 0; d < dim; d++) + { + vDotn += vShape(d) * nor(d) / nor_norm; + } + + DenseMatrix stress(dim); + stress = 0.0; + for (int d = 0; d < dim; d++) { stress(d, d) = - p; } + Vector weightedNormalStress(dim); + stress.Mult(tn, weightedNormalStress); + + for (int d = 0; d < dim; d++) + { + qdata.be_force_data(be, q, d) = + ip_f.weight * nor_norm * + (vDotn * tn(d) * penalty_force - weightedNormalStress(d)); + } + } + } + } } +void LagrangianHydroOperator::UpdateBdrQuadratureData() const +{ + // Boundary mass term data. + int nqp_be = b_ir.GetNPoints(); + if (analyticalSurface != NULL) + { + for (int be = 0; be < NBE; be++) + { + auto b_face_tr = pmesh->GetBdrFaceTransformations(be); + if (b_face_tr == nullptr) { continue; } + int attr = pmesh->GetBdrAttribute(be); + if (attr != bdr_attr_max) + { + for (int q = 0; q < nqp_be; q++) + { + const IntegrationPoint &ip_f = b_ir.IntPoint(q); + b_face_tr->SetAllIntPoints(&ip_f); + ElementTransformation &tr_el = b_face_tr->GetElement1Transformation(); + + double penalty_mass = wall_bc_penalty * C_I * perimeter / + std::pow(tr_el.Weight(), 1.0/dim); + penalty_mass *= rho0_max * perimeter; + + Vector nor(dim); + CalcOrtho(b_face_tr->Jacobian(), nor); + double nor_norm = sqrt(nor * nor); + + Vector tn(nor); + tn /= nor_norm; + + for (int dx = 0; dx < dim; dx++) + { + for (int dy = 0; dy < dim; dy++) + { + qdata.be_mass_data(dx, dy, be * nqp_be + q) = + ip_f.weight * nor_norm * + tn(dx) * tn(dy) * penalty_mass; + } + } + } + } + else + { + for (int q = 0; q < nqp_be; q++) + { + const IntegrationPoint &ip_f = b_ir.IntPoint(q); + b_face_tr->SetAllIntPoints(&ip_f); + ElementTransformation &tr_el = b_face_tr->GetElement1Transformation(); + + double penalty_mass = wall_bc_penalty * C_I * perimeter / + std::pow(tr_el.Weight(), 1.0/dim); + penalty_mass *= rho0_max * perimeter; + + Vector nor(dim); + CalcOrtho(b_face_tr->Jacobian(), nor); + double nor_norm = sqrt(nor * nor); + + Vector tn(nor); + tn /= nor_norm; + const IntegrationPoint &ip_e1 = b_face_tr->GetElement1IntPoint(); + Vector position; + tr_el.Transform(ip_e1, position); + Vector dist; + Vector true_n; + analyticalSurface->ComputeDistanceAndNormal(position, dist, true_n); + //true_n = tn; + double nDotNtilda = true_n * tn; + + for (int dx = 0; dx < dim; dx++) + { + for (int dy = 0; dy < dim; dy++) + { + qdata.be_mass_data(dx, dy, be * nqp_be + q) = + ip_f.weight * nor_norm * + true_n(dx) * true_n(dy) * penalty_mass * std::pow(nDotNtilda, 2.0); + } + } + } + } + } + } + else + { + for (int be = 0; be < NBE; be++) + { + auto b_face_tr = pmesh->GetBdrFaceTransformations(be); + if (b_face_tr == nullptr) { continue; } + int attr = pmesh->GetBdrAttribute(be); + for (int q = 0; q < nqp_be; q++) + { + const IntegrationPoint &ip_f = b_ir.IntPoint(q); + b_face_tr->SetAllIntPoints(&ip_f); + ElementTransformation &tr_el = b_face_tr->GetElement1Transformation(); + + double penalty_mass = wall_bc_penalty * C_I * perimeter / + std::pow(tr_el.Weight(), 1.0/dim); + penalty_mass *= rho0_max * perimeter; + + Vector nor(dim); + CalcOrtho(b_face_tr->Jacobian(), nor); + double nor_norm = sqrt(nor * nor); + + Vector tn(nor); + tn /= nor_norm; + + for (int dx = 0; dx < dim; dx++) + { + for (int dy = 0; dy < dim; dy++) + { + qdata.be_mass_data(dx, dy, be * nqp_be + q) = + ip_f.weight * nor_norm * + tn(dx) * tn(dy) * penalty_mass; + } + } + } + } + } +} + +void LagrangianHydroOperator::UpdateMassMatrices(Coefficient &rho_coeff) +{ + // Assumption is Mv was connected to the same Coefficient from the input. + Mv.Update(); + Mv.BilinearForm::operator=(0.0); + Mv.Assemble(); + Mv_spmat_copy = Mv.SpMat(); + + MassIntegrator mi(rho_coeff, &ir); + for (int e = 0; e < NE; e++) + { + const FiniteElement &fe = *L2.GetFE(e); + ElementTransformation &Tr = *L2.GetElementTransformation(e); + const int attr = pmesh->GetAttribute(e); + mi.AssembleElementMatrix(fe, Tr, Me(e)); + DenseMatrixInverse inv(&Me(e)); + inv.Factor(); + inv.GetInverseMatrix(Me_inv(e)); + } +} + /// Trace of a square matrix template MFEM_HOST_DEVICE inline @@ -1338,10 +1796,16 @@ void QUpdate::UpdateQuadratureData(const Vector &S, QuadratureData &qdata) void LagrangianHydroOperator::AssembleForceMatrix() const { if (forcemat_is_assembled || p_assembly) { return; } + Force = 0.0; + Force_be = 0.0; + Force_be_T = 0.0; + timer.sw_force.Start(); Force.Assemble(); + if (BC_strong == false) { Force_be.Assemble(); Force_be_T.Assemble(); } timer.sw_force.Stop(); + forcemat_is_assembled = true; } diff --git a/laghos_solver.hpp b/laghos_solver.hpp index 2bbd1c1c1..2c5c60933 100644 --- a/laghos_solver.hpp +++ b/laghos_solver.hpp @@ -19,6 +19,9 @@ #include "mfem.hpp" #include "laghos_assembly.hpp" +#include "AnalyticalSurface.hpp" +#include "laghos_shift.hpp" +#include "laghos_mass_integrators.hpp" #ifdef MFEM_USE_MPI @@ -111,7 +114,12 @@ class LagrangianHydroOperator : public TimeDependentOperator // Reference to the current mesh configuration. mutable ParGridFunction x_gf; const Array &ess_tdofs; - const int dim, NE, l2dofs_cnt, h1dofs_cnt, source_type; + int bdr_attr_max; + Array ess_bdr_bf; + Array ess_bdr_sbm; + bool BC_strong; + + const int dim, NE, NBE, l2dofs_cnt, h1dofs_cnt, source_type; const double cfl; const bool use_viscosity, use_vorticity, p_assembly; const double cg_rel_tol; @@ -123,17 +131,33 @@ class LagrangianHydroOperator : public TimeDependentOperator mutable ParBilinearForm Mv; SparseMatrix Mv_spmat_copy; DenseTensor Me, Me_inv; + // Integration rule for all assemblies. const IntegrationRule &ir; + const IntegrationRule &b_ir; + // Data associated with each quadrature point in the mesh. // These values are recomputed at each time step. const int Q1D; mutable QuadratureData qdata; + BdrForceCoefficient bdr_force_coeff; + BdrForceCoefficientIBP bdr_force_ibp_coeff; + BdrForceCoefficientPen bdr_force_pen_coeff; + BdrEnergyForceCoefficientIBP bdr_en_ibp_force_coeff; + BdrEnergyForceCoefficientPen bdr_en_pen_force_coeff; + BdrMassCoefficient bdr_mass_coeff; + BdrJacobianCoefficient bdr_j_coeff; + InteriorMassCoefficient mass_coeff; mutable bool qdata_is_current, forcemat_is_assembled; + // Force matrix that combines the kinematic and thermodynamic spaces. It is // assembled in each time step and then it is used to compute the final // right-hand sides for momentum and specific internal energy. - mutable MixedBilinearForm Force; + mutable MixedBilinearForm Force, Force_be, Force_be_T; + + double wall_bc_penalty, C_I; + double rho0_max, perimeter; + AnalyticalSurface* analyticalSurface; // Same as above, but done through partial assembly. ForcePAOperator *ForcePA; // Mass matrices done through partial assembly: @@ -160,13 +184,14 @@ class LagrangianHydroOperator : public TimeDependentOperator } void UpdateQuadratureData(const Vector &S) const; + void UpdateBdrQuadratureData() const; void AssembleForceMatrix() const; public: LagrangianHydroOperator(const int size, ParFiniteElementSpace &h1_fes, ParFiniteElementSpace &l2_fes, - const Array &ess_tdofs, + const Array &ess_tdofs, bool bcs, Coefficient &rho0_coeff, ParGridFunction &rho0_gf, ParGridFunction &gamma_gf, @@ -174,7 +199,9 @@ class LagrangianHydroOperator : public TimeDependentOperator const double cfl, const bool visc, const bool vort, const bool pa, const double cgt, const int cgiter, double ftz_tol, - const int order_q); + const int order_q, + double bc_penalty, double perimeter, + AnalyticalSurface* analyticalSurface = NULL); ~LagrangianHydroOperator(); // Solve for dx_dt, dv_dt and de_dt. @@ -186,7 +213,8 @@ class LagrangianHydroOperator : public TimeDependentOperator void SolveVelocity(const Vector &S, Vector &dS_dt) const; void SolveEnergy(const Vector &S, const Vector &v, Vector &dS_dt) const; void UpdateMesh(const Vector &S) const; - + void UpdateMassMatrices(Coefficient &rho_coeff); + // Calls UpdateQuadratureData to compute the new qdata.dt_estimate. double GetTimeStepEstimate(const Vector &S) const; void ResetTimeStepEstimate() const; @@ -197,6 +225,7 @@ class LagrangianHydroOperator : public TimeDependentOperator void ComputeDensity(ParGridFunction &rho) const; double InternalEnergy(const ParGridFunction &e) const; double KineticEnergy(const ParGridFunction &v) const; + double Momentum(const ParGridFunction &v) const; int GetH1VSize() const { return H1.GetVSize(); } const Array &GetBlockOffsets() const { return block_offsets; }