sand-wedge.cc

#include <Python.h>

#ifdef HAVE_CONFIG_H
#include "config.h"
#endif

#ifndef HAVE_PYTHON
#error Python is required
#endif

#ifdef HAVE_IPOPT
#undef HAVE_IPOPT
#endif

#ifndef datadir
#error datadir unset
#endif

#ifndef DIM
#error DIM unset
#endif

#if !HAVE_ALUGRID
#error ALUGRID is required
#endif

#include <cmath>
#include <exception>
#include <fstream>
#include <iostream>

#include <dune/common/bitsetvector.hh>
#include <dune/common/exceptions.hh>
#include <dune/common/fmatrix.hh>
#include <dune/common/function.hh>
#include <dune/common/fvector.hh>
#include <dune/common/parametertree.hh>
#include <dune/common/parametertreeparser.hh>

#pragma clang diagnostic push
#pragma clang diagnostic ignored "-Wignored-qualifiers"
#include <dune/grid/alugrid.hh>
#pragma clang diagnostic pop

#include <dune/grid/common/mcmgmapper.hh>
#include <dune/grid/utility/structuredgridfactory.hh>
#include <dune/istl/bcrsmatrix.hh>
#include <dune/istl/bvector.hh>

#pragma clang diagnostic push
#pragma clang diagnostic ignored "-Wdeprecated-declarations"
#include <dune/fufem/boundarypatch.hh>
#pragma clang diagnostic pop

#include <dune/fufem/dunepython.hh>
#include <dune/fufem/functions/basisgridfunction.hh>
#include <dune/fufem/functionspacebases/p1nodalbasis.hh>
#include <dune/fufem/sharedpointermap.hh>
#include <dune/solvers/norms/energynorm.hh>
#include <dune/solvers/norms/sumnorm.hh>
#include <dune/solvers/solvers/loopsolver.hh>
#include <dune/solvers/solvers/solver.hh>
#include <dune/tnnmg/nonlinearities/zerononlinearity.hh>
#include <dune/tnnmg/problem-classes/blocknonlineartnnmgproblem.hh>
#include <dune/tnnmg/problem-classes/convexproblem.hh>

#include <dune/tectonic/myblockproblem.hh>
#include <dune/tectonic/globalnonlinearity.hh>

#include "assemblers.hh"
#include "enum_parser.cc"
#include "enum_scheme.cc"
#include "enum_state_model.cc"
#include "enum_verbosity.cc"
#include "enums.hh"
#include "friction_writer.hh"
#include "sand-wedge-data/mybody.hh"
#include "sand-wedge-data/mygeometry.hh"
#include "sand-wedge-data/mygeometry.cc" // FIXME
#include "sand-wedge-data/myglobalfrictiondata.hh"
#include "sand-wedge-data/mygrid.cc" // FIXME
#include "sand-wedge-data/mygrid.hh"
#include "sand-wedge-data/special_writer.hh"
#include "solverfactory.hh"
#include "state.hh"
#include "timestepping.hh"
#include "vtk.hh"

size_t const dims = DIM;

void initPython() {
  Python::start();

  Python::run("import sys");
  Python::run("sys.path.append('" datadir "')");
}

int main(int argc, char *argv[]) {
  try {
    Dune::ParameterTree parset;
    Dune::ParameterTreeParser::readINITree(datadir "/parset.cfg", parset);
    Dune::ParameterTreeParser::readOptions(argc, argv, parset);

    MyGeometry::render();
    MyGeometry::write();

    // {{{ Set up grid
    using Grid = Dune::ALUGrid<dims, dims, Dune::simplex, Dune::nonconforming>;
    auto grid = constructGrid<Grid>();

    auto const refinements = parset.get<size_t>("grid.refinements");
    grid->globalRefine(refinements);
    size_t const fineVertexCount = grid->size(grid->maxLevel(), dims);

    using GridView = Grid::LeafGridView;
    GridView const leafView = grid->leafView();

    MyFaces<GridView> myFaces(leafView);

    // Neumann boundary
    BoundaryPatch<GridView> const neumannBoundary(leafView);

    // Frictional Boundary
    BoundaryPatch<GridView> const &frictionalBoundary = myFaces.lower;
    Dune::BitSetVector<1> frictionalNodes(fineVertexCount);
    frictionalBoundary.getVertices(frictionalNodes);

    // Surface
    BoundaryPatch<GridView> const &surface = myFaces.upper;
    Dune::BitSetVector<1> surfaceNodes(fineVertexCount);
    surface.getVertices(surfaceNodes);

    // Dirichlet Boundary
    Dune::BitSetVector<dims> noNodes(fineVertexCount);
    Dune::BitSetVector<dims> dirichletNodes(fineVertexCount);
    for (size_t i = 0; i < fineVertexCount; ++i) {
      if (myFaces.right.containsVertex(i))
        dirichletNodes[i][0] = true;

      if (myFaces.lower.containsVertex(i))
        dirichletNodes[i][1] = true;
    }

    // Set up functions for time-dependent boundary conditions
    using Function = Dune::VirtualFunction<double, double>;
    using FunctionMap = SharedPointerMap<std::string, Function>;
    FunctionMap functions;
    {
      initPython();
      Python::import("boundaryconditions")
          .get("Functions")
          .toC<typename FunctionMap::Base>(functions);
    }
    auto const &velocityDirichletFunction =
                   functions.get("velocityDirichletCondition"),
               &neumannFunction = functions.get("neumannCondition");

    using MyAssembler = MyAssembler<GridView, dims>;
    using Matrix = MyAssembler::Matrix;
    using LocalMatrix = Matrix::block_type;
    using Vector = MyAssembler::Vector;
    using LocalVector = Vector::block_type;
    using ScalarMatrix = MyAssembler::ScalarMatrix;
    using ScalarVector = MyAssembler::ScalarVector;
    using LocalScalarVector = ScalarVector::block_type;

    MyAssembler myAssembler(leafView);

    MyBody<dims> const body(parset);

    Matrix A, C, M;
    myAssembler.assembleElasticity(body.getYoungModulus(),
                                   body.getPoissonRatio(), A);
    myAssembler.assembleViscosity(body.getShearViscosityField(),
                                  body.getBulkViscosityField(), C);
    myAssembler.assembleMass(body.getDensityField(), M);
    EnergyNorm<Matrix, Vector> const ANorm(A), MNorm(M);
    // Q: Does it make sense to weigh them in this manner?
    SumNorm<Vector> const AMNorm(1.0, ANorm, 1.0, MNorm);

    ScalarMatrix frictionalBoundaryMass;
    myAssembler.assembleFrictionalBoundaryMass(frictionalBoundary,
                                               frictionalBoundaryMass);
    EnergyNorm<ScalarMatrix, ScalarVector> const stateEnergyNorm(
        frictionalBoundaryMass);

    // Assemble forces
    Vector gravityFunctional;
    myAssembler.assembleBodyForce(body.getGravityField(), gravityFunctional);

    // Problem formulation: right-hand side
    auto const computeExternalForces = [&](double _relativeTime, Vector &_ell) {
      myAssembler.assembleNeumann(neumannBoundary, _ell, neumannFunction,
                                  _relativeTime);
      _ell += gravityFunctional;
    };
    Vector ell(fineVertexCount);
    computeExternalForces(0.0, ell);

    // {{{ Initial conditions
    using LinearFactory = SolverFactory<
        dims, BlockNonlinearTNNMGProblem<ConvexProblem<
                  ZeroNonlinearity<LocalVector, LocalMatrix>, Matrix>>,
        Grid>;
    ZeroNonlinearity<LocalVector, LocalMatrix> zeroNonlinearity;

    // TODO: clean up once generic lambdas arrive
    auto const solveLinearProblem = [&](
        Dune::BitSetVector<dims> const &_dirichletNodes, Matrix const &_matrix,
        Vector const &_rhs, Vector &_x, EnergyNorm<Matrix, Vector> const &_norm,
        Dune::ParameterTree const &_localParset) {
      LinearFactory factory(parset.sub("solver.tnnmg"), // FIXME
                            refinements, *grid, _dirichletNodes);

      typename LinearFactory::ConvexProblem convexProblem(
          1.0, _matrix, zeroNonlinearity, _rhs, _x);
      typename LinearFactory::BlockProblem problem(parset, convexProblem);

      auto multigridStep = factory.getSolver();
      multigridStep->setProblem(_x, problem);
      LoopSolver<Vector> solver(
          multigridStep, _localParset.get<size_t>("maximumIterations"),
          _localParset.get<double>("tolerance"), &_norm,
          _localParset.get<Solver::VerbosityMode>("verbosity"),
          false); // absolute error

      solver.preprocess();
      solver.solve();
    };

    // Solve the stationary problem
    Vector u_initial(fineVertexCount);
    u_initial = 0.0;
    solveLinearProblem(dirichletNodes, A, ell, u_initial, ANorm,
                       parset.sub("u0.solver"));

    ScalarVector alpha_initial(fineVertexCount);
    alpha_initial = parset.get<double>("boundary.friction.initialLogState");
    ScalarVector normalStress(fineVertexCount);
    myAssembler.assembleNormalStress(frictionalBoundary, normalStress,
                                     body.getYoungModulus(),
                                     body.getPoissonRatio(), u_initial);
    MyGlobalFrictionData<dims> frictionInfo(parset.sub("boundary.friction"));
    auto myGlobalNonlinearity = myAssembler.assembleFrictionNonlinearity(
        frictionalBoundary, frictionInfo, normalStress);
    myGlobalNonlinearity->updateLogState(alpha_initial);

    Vector v_initial(fineVertexCount);
    v_initial = 0.0;
    {
      double v_initial_const;
      velocityDirichletFunction.evaluate(0.0, v_initial_const);
      assert(v_initial_const == 0.0);
    }

    Vector a_initial(fineVertexCount);
    a_initial = 0.0;
    {
      // We solve Ma = ell - [Au + Cv + Psi(v)]
      Vector accelerationRHS(fineVertexCount);
      {
        accelerationRHS = 0.0;
        Arithmetic::addProduct(accelerationRHS, A, u_initial);
        Arithmetic::addProduct(accelerationRHS, C, v_initial);
        // NOTE: We assume differentiability of Psi at 0 here!
        myGlobalNonlinearity->addGradient(v_initial, accelerationRHS);
        accelerationRHS *= -1.0;
        accelerationRHS += ell;
      }
      solveLinearProblem(noNodes, M, accelerationRHS, a_initial, MNorm,
                         parset.sub("a0.solver"));
    }
    // }}}

    Vector vertexCoordinates(fineVertexCount);
    {
      Dune::MultipleCodimMultipleGeomTypeMapper<
          GridView, Dune::MCMGVertexLayout> const vertexMapper(leafView);
      for (auto it = leafView.begin<dims>(); it != leafView.end<dims>(); ++it) {
        auto const geometry = it->geometry();
        assert(geometry.corners() == 1);
        vertexCoordinates[vertexMapper.map(*it)] = geometry.corner(0);
      }
    }

    FrictionWriter<ScalarVector, Vector> frictionWriter(
        vertexCoordinates, frictionalNodes, "friction",
        MyGeometry::horizontalProjection);
    BoundaryWriter<ScalarVector, Vector> verticalSurfaceWriter(
        vertexCoordinates, surfaceNodes, "verticalSurface",
        MyGeometry::verticalProjection);
    BoundaryWriter<ScalarVector, Vector> horizontalSurfaceWriter(
        vertexCoordinates, surfaceNodes, "horizontalSurface",
        MyGeometry::horizontalProjection);

    auto const report = [&](Vector const &_u, Vector const &_v,
                            ScalarVector const &_alpha) {
      horizontalSurfaceWriter.writeKinetics(_u, _v);
      verticalSurfaceWriter.writeKinetics(_u, _v);

      ScalarVector c;
      myGlobalNonlinearity->coefficientOfFriction(_v, c);
      frictionWriter.writeKinetics(_u, _v);
      frictionWriter.writeOther(c, _alpha);
    };
    report(u_initial, v_initial, alpha_initial);

    MyVTKWriter<typename MyAssembler::VertexBasis,
                typename MyAssembler::CellBasis> const
    vtkWriter(myAssembler.cellBasis, myAssembler.vertexBasis, "obs");

    if (parset.get<bool>("io.writeVTK")) {
      ScalarVector stress;
      myAssembler.assembleVonMisesStress(
          body.getYoungModulus(), body.getPoissonRatio(), u_initial, stress);
      vtkWriter.write(0, u_initial, v_initial, alpha_initial, stress);
    }

    SpecialWriter<GridView, dims> specialVelocityWriter("specialVelocities",
                                                        leafView);
    SpecialWriter<GridView, dims> specialDisplacementWriter(
        "specialDisplacements", leafView);

    // Set up TNNMG solver
    using NonlinearFactory =
        SolverFactory<dims, MyBlockProblem<ConvexProblem<
                                GlobalNonlinearity<Matrix, Vector>, Matrix>>,
                      Grid>;
    NonlinearFactory factory(parset.sub("solver.tnnmg"), refinements, *grid,
                             dirichletNodes);
    auto multigridStep = factory.getSolver();

    std::fstream iterationWriter("iterations", std::fstream::out),
        relaxationWriter("relaxation", std::fstream::out);

    auto timeSteppingScheme =
        initTimeStepper(parset.get<Config::scheme>("timeSteps.scheme"),
                        velocityDirichletFunction, dirichletNodes, M, A, C,
                        u_initial, v_initial, a_initial);
    auto stateUpdater = initStateUpdater<ScalarVector, Vector>(
        parset.get<Config::stateModel>("boundary.friction.stateModel"),
        alpha_initial, frictionalNodes,
        parset.get<double>("boundary.friction.L"));

    Vector v = v_initial;
    Vector v_m(fineVertexCount);
    ScalarVector alpha(fineVertexCount);

    auto const timeSteps = parset.get<size_t>("timeSteps.number"),
               maximumStateFPI = parset.get<size_t>("v.fpi.maximumIterations"),
               maximumIterations =
                   parset.get<size_t>("v.solver.maximumIterations");
    auto const tau = parset.get<double>("problem.finalTime") / timeSteps,
               tolerance = parset.get<double>("v.solver.tolerance"),
               fixedPointTolerance = parset.get<double>("v.fpi.tolerance"),
               relaxation = parset.get<double>("v.fpi.relaxation"),
               requiredReduction =
                   parset.get<double>("v.fpi.requiredReduction");
    auto const printProgress = parset.get<bool>("io.printProgress");
    auto const verbosity =
        parset.get<Solver::VerbosityMode>("v.solver.verbosity");
    for (size_t timeStep = 1; timeStep <= timeSteps; ++timeStep) {
      if (printProgress)
        std::cout << std::setw(7) << timeStep << " " << std::flush;

      stateUpdater->nextTimeStep();
      timeSteppingScheme->nextTimeStep();

      auto const relativeTime = double(timeStep) / double(timeSteps);
      computeExternalForces(relativeTime, ell);

      Matrix velocityMatrix;
      Vector velocityRHS(fineVertexCount);
      Vector velocityIterate(fineVertexCount);

      stateUpdater->setup(tau);
      timeSteppingScheme->setup(ell, tau, relativeTime, velocityRHS,
                                velocityIterate, velocityMatrix);

      LoopSolver<Vector> velocityProblemSolver(multigridStep, maximumIterations,
                                               tolerance, &AMNorm, verbosity,
                                               false); // absolute error

      size_t iterationCounter;
      auto solveVelocityProblem = [&](Vector &_velocityIterate,
                                      ScalarVector const &_alpha) {
        myGlobalNonlinearity->updateLogState(_alpha);

        // NIT: Do we really need to pass u here?
        typename NonlinearFactory::ConvexProblem convexProblem(
            1.0, velocityMatrix, *myGlobalNonlinearity, velocityRHS,
            _velocityIterate);
        typename NonlinearFactory::BlockProblem velocityProblem(parset,
                                                                convexProblem);
        multigridStep->setProblem(_velocityIterate, velocityProblem);

        velocityProblemSolver.preprocess();
        velocityProblemSolver.solve();
        iterationCounter = velocityProblemSolver.getResult().iterations;
      };

      Vector u;
      Vector v_saved;
      ScalarVector alpha_saved;
      double lastStateCorrection;
      for (size_t stateFPI = 1; stateFPI <= maximumStateFPI; ++stateFPI) {
        timeSteppingScheme->extractOldVelocity(v_m);
        v_m *= 0.5;
        Arithmetic::addProduct(v_m, 0.5, v);

        stateUpdater->solve(v_m);
        stateUpdater->extractLogState(alpha);

        if (stateFPI == 1)
          relaxationWriter << "N ";
        else {
          double const stateCorrection =
              stateEnergyNorm.diff(alpha, alpha_saved);
          if (stateFPI <= 2 // lastStateCorrection is only set for stateFPI > 2
              or stateCorrection < requiredReduction * lastStateCorrection)
            relaxationWriter << "N ";
          else {
            alpha *= (1.0 - relaxation);
            Arithmetic::addProduct(alpha, relaxation, alpha_saved);
            relaxationWriter << "Y ";
          }
          lastStateCorrection = stateCorrection;
        }

        solveVelocityProblem(velocityIterate, alpha);
        timeSteppingScheme->postProcess(velocityIterate);
        timeSteppingScheme->extractDisplacement(u);
        timeSteppingScheme->extractVelocity(v);

        iterationWriter << iterationCounter << " ";
        if (printProgress)
          std::cout << '.' << std::flush;

        if (stateFPI > 1) {
          double const velocityCorrection = AMNorm.diff(v_saved, v);
          if (velocityCorrection < fixedPointTolerance)
            break;
        }
        if (stateFPI == maximumStateFPI)
          DUNE_THROW(Dune::Exception, "FPI failed to converge");

        alpha_saved = alpha;
        v_saved = v;
      }
      if (printProgress)
        std::cout << std::endl;

      report(u, v, alpha);
      iterationWriter << std::endl;
      relaxationWriter << std::endl;

      {
        BasisGridFunction<typename MyAssembler::VertexBasis, Vector> velocity(
            myAssembler.vertexBasis, v);
        BasisGridFunction<typename MyAssembler::VertexBasis, Vector>
        displacement(myAssembler.vertexBasis, u);
        specialVelocityWriter.write(velocity);
        specialDisplacementWriter.write(displacement);
      }

      if (parset.get<bool>("io.writeVTK")) {
        ScalarVector stress;
        myAssembler.assembleVonMisesStress(body.getYoungModulus(),
                                           body.getPoissonRatio(), u, stress);
        vtkWriter.write(timeStep, u, v, alpha, stress);
      }
    }
    iterationWriter.close();
    relaxationWriter.close();

    Python::stop();
  }
  catch (Dune::Exception &e) {
    Dune::derr << "Dune reported error: " << e << std::endl;
  }
  catch (std::exception &e) {
    std::cerr << "Standard exception: " << e.what() << std::endl;
  }
}