NormalTractionBoundaryCondition-impl.h

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#pragma once
 
#include <numeric>
#include <range/v3/range/conversion.hpp>
#include <range/v3/view/transform.hpp>
 
#include "MeshLib/Elements/FaceRule.h"
#include "MeshLib/MeshSearch/NodeSearch.h"
#include "NormalTractionBoundaryConditionLocalAssembler.h"
#include "ParameterLib/Utils.h"
#include "ProcessLib/BoundaryConditionAndSourceTerm/Utils/CreateLocalAssemblers.h"
 
namespace ProcessLib
{
namespace NormalTractionBoundaryCondition
{

template <int GlobalDim>
Eigen::Vector3d computeElementNormal(const MeshLib::Element& element,
                                     const MeshLib::Element& bulk_element)
{
    if (element.getGeomType() == MeshLib::MeshElemType::LINE)
    {
        auto const n = MeshLib::FaceRule::getSurfaceNormal(bulk_element);
        Eigen::Vector3d const e = element.getNode(1)->asEigenVector3d() -
                                  element.getNode(0)->asEigenVector3d();
        Eigen::Vector3d const normal = e.cross(n).normalized();
 
        // Compute center of the bulk element to correctly orient the
        // normal.
        auto const c =
            MeshLib::getCenterOfGravity(bulk_element).asEigenVector3d();
        // Flip n if the normal points toward c:
        // <normal, c - n0> > 0.
        if (normal.dot(c - element.getNode(0)->asEigenVector3d()) > 0)
        {
            return -normal;
        }
        return normal;
    }
 
    Eigen::Vector3d normal = MeshLib::FaceRule::getSurfaceNormal(element);
    normal.tail<3 - GlobalDim>().setZero();
    return normal.normalized();
}
 
template <int GlobalDim, template <typename /* shp fct */, int /* global dim */>
                         class LocalAssemblerImplementation>
NormalTractionBoundaryCondition<GlobalDim, LocalAssemblerImplementation>::
    NormalTractionBoundaryCondition(
        unsigned const integration_order, unsigned const shapefunction_order,
        MeshLib::Mesh const& bulk_mesh,
        NumLib::LocalToGlobalIndexMap const& dof_table_bulk,
        int const variable_id, MeshLib::Mesh const& bc_mesh,
        ParameterLib::Parameter<double> const& pressure)
    : _bc_mesh(bc_mesh),
      _integration_order(integration_order),
      _pressure(pressure)
{
    // Create component ids vector for the current variable.
    auto const& number_of_components =
        dof_table_bulk.getNumberOfVariableComponents(variable_id);
    std::vector<int> component_ids(number_of_components);
    std::iota(std::begin(component_ids), std::end(component_ids), 0);
 
    // BC mesh subset creation
    std::vector<MeshLib::Node*> const bc_nodes = _bc_mesh.getNodes();
    DBUG("Found {:d} nodes for Natural BCs for the variable {:d}",
         bc_nodes.size(), variable_id);
 
    MeshLib::MeshSubset bc_mesh_subset(_bc_mesh, bc_nodes);
 
    // Compute normal vectors for each element in the boundary condition mesh.
    auto const* const bulk_element_ids = MeshLib::bulkElementIDs(_bc_mesh);
    assert(bulk_element_ids != nullptr);
    auto const& elements = _bc_mesh.getElements();
    _element_normals =
        elements |
        ranges::views::transform(
            [&](const MeshLib::Element* e_ptr)
            {
                // Compute the corresponding bulk element for normal orientation
                auto const* bulk_element =
                    bulk_mesh.getElement((*bulk_element_ids)[e_ptr->getID()]);
                assert(bulk_element != nullptr);
 
                return computeElementNormal<GlobalDim>(*e_ptr, *bulk_element);
            }) |
        ranges::to<std::vector<Eigen::Vector3d>>();
 
    // Create local DOF table from the BC mesh subset for the given variable and
    // component ids.
    _dof_table_boundary = dof_table_bulk.deriveBoundaryConstrainedMap(
        variable_id, component_ids, std::move(bc_mesh_subset));
 
    BoundaryConditionAndSourceTerm::detail::createLocalAssemblers<
        GlobalDim, LocalAssemblerImplementation>(
        *_dof_table_boundary, shapefunction_order, _bc_mesh.getElements(),
        _local_assemblers, NumLib::IntegrationOrder{integration_order},
        _bc_mesh.isAxiallySymmetric(), _pressure, _element_normals);
}
 
template <int GlobalDim, template <typename /* shp fct */, int /* global dim */>
                         class LocalAssemblerImplementation>
void NormalTractionBoundaryCondition<GlobalDim, LocalAssemblerImplementation>::
    applyNaturalBC(const double t, std::vector<GlobalVector*> const& x,
                   int const /*process_id*/, GlobalMatrix* K, GlobalVector& b,
                   GlobalMatrix* Jac)
{
    GlobalExecutor::executeMemberOnDereferenced(
        &NormalTractionBoundaryConditionLocalAssemblerInterface::assemble,
        _local_assemblers, *_dof_table_boundary, t, x, K, b, Jac);
}
 
template <int GlobalDim>
std::unique_ptr<NormalTractionBoundaryCondition<
    GlobalDim, NormalTractionBoundaryConditionLocalAssembler>>
createNormalTractionBoundaryCondition(
    BaseLib::ConfigTree const& config, MeshLib::Mesh const& bc_mesh,
    MeshLib::Mesh const& bulk_mesh,
    NumLib::LocalToGlobalIndexMap const& dof_table, int const variable_id,
    unsigned const integration_order, unsigned const shapefunction_order,
    std::vector<std::unique_ptr<ParameterLib::ParameterBase>> const& parameters)
{
    DBUG("Constructing NormalTractionBoundaryCondition from config.");
    config.checkConfigParameter("type", "NormalTraction");
 
    auto const parameter_name =
        config.getConfigParameter<std::string>("parameter");
    DBUG("Using parameter {:s}", parameter_name);
 
    auto const& pressure = ParameterLib::findParameter<double>(
        parameter_name, parameters, 1, &bc_mesh);
    return std::make_unique<NormalTractionBoundaryCondition<
        GlobalDim, NormalTractionBoundaryConditionLocalAssembler>>(
        integration_order, shapefunction_order, bulk_mesh, dof_table,
        variable_id, bc_mesh, pressure);
}
 
}  // namespace NormalTractionBoundaryCondition
}  // namespace ProcessLib