Line data    Source code

       1           0 : // Distributed under the MIT License.
       2             : // See LICENSE.txt for details.
       3             : 
       4             : #pragma once
       5             : 
       6             : #include <algorithm>
       7             : #include <array>
       8             : #include <cstddef>
       9             : #include <functional>
      10             : #include <tuple>
      11             : #include <type_traits>
      12             : #include <utility>
      13             : 
      14             : #include "DataStructures/ApplyMatrices.hpp"
      15             : #include "DataStructures/DataBox/PrefixHelpers.hpp"
      16             : #include "DataStructures/DataBox/Prefixes.hpp"
      17             : #include "DataStructures/Matrix.hpp"
      18             : #include "DataStructures/Variables.hpp"
      19             : #include "Domain/Structure/Direction.hpp"
      20             : #include "Domain/Structure/DirectionalId.hpp"
      21             : #include "Domain/Structure/DirectionalIdMap.hpp"
      22             : #include "Domain/Structure/ElementId.hpp"
      23             : #include "Domain/Structure/SegmentId.hpp"
      24             : #include "NumericalAlgorithms/DiscontinuousGalerkin/LiftFlux.hpp"
      25             : #include "NumericalAlgorithms/Spectral/Mesh.hpp"
      26             : #include "NumericalAlgorithms/Spectral/Projection.hpp"
      27             : #include "NumericalAlgorithms/Spectral/SegmentSize.hpp"
      28             : #include "Utilities/Algorithm.hpp"
      29             : #include "Utilities/ConstantExpressions.hpp"
      30             : #include "Utilities/ErrorHandling/Assert.hpp"
      31             : #include "Utilities/Gsl.hpp"
      32             : #include "Utilities/MakeArray.hpp"
      33             : #include "Utilities/TMPL.hpp"
      34             : /// \cond
      35             : template <size_t VolumeDim>
      36             : class ElementId;
      37             : template <size_t VolumeDim>
      38             : class OrientationMap;
      39             : 
      40             : /// \endcond
      41             : 
      42             : namespace dg {
      43             : 
      44             : template <size_t VolumeDim>
      45           0 : using MortarId = DirectionalId<VolumeDim>;
      46             : template <size_t MortarDim>
      47           0 : using MortarSize = std::array<Spectral::SegmentSize, MortarDim>;
      48             : template <size_t VolumeDim, typename ValueType>
      49           0 : using MortarMap = DirectionalIdMap<VolumeDim, ValueType>;
      50             : 
      51             : /// \ingroup DiscontinuousGalerkinGroup
      52             : /// Find a mesh for a mortar capable of representing data from either
      53             : /// of two faces.
      54             : ///
      55             : /// \warning Make sure the two face meshes are oriented the same, i.e.
      56             : /// their dimensions align. This is facilitated by the `orientation`
      57             : /// passed to `domain::create_initial_mesh`, for example.
      58             : template <size_t Dim>
      59           1 : Mesh<Dim> mortar_mesh(const Mesh<Dim>& face_mesh1, const Mesh<Dim>& face_mesh2);
      60             : 
      61             : /// \ingroup DiscontinuousGalerkinGroup
      62             : /// Determine the size of the mortar (i.e., the part of the face it
      63             : /// covers) for communicating with a neighbor.  This is the size
      64             : /// relative to the size of \p self, and will not generally agree with
      65             : /// that determined by \p neighbor.
      66             : template <size_t Dim>
      67           1 : MortarSize<Dim - 1> mortar_size(const ElementId<Dim>& self,
      68             :                                 const ElementId<Dim>& neighbor,
      69             :                                 size_t dimension,
      70             :                                 const OrientationMap<Dim>& orientation);
      71             : 
      72             : /// \ingroup DiscontinuousGalerkinGroup
      73             : /// Determine the size of the mortar in block coordinates.  The
      74             : /// segments are given in the block of \p self.
      75             : template <size_t Dim>
      76           1 : std::array<SegmentId, Dim - 1> mortar_segments(
      77             :     const ElementId<Dim>& self, const ElementId<Dim>& neighbor,
      78             :     size_t dimension, const OrientationMap<Dim>& orientation);
      79             : 
      80             : /// @{
      81             : /// \ingroup DiscontinuousGalerkinGroup
      82             : /// Project variables from a face to a mortar.
      83             : template <typename Tags, size_t Dim>
      84           1 : void project_to_mortar(const gsl::not_null<Variables<Tags>*> result,
      85             :                        const Variables<Tags>& vars, const Mesh<Dim>& face_mesh,
      86             :                        const Mesh<Dim>& mortar_mesh,
      87             :                        const MortarSize<Dim>& mortar_size) {
      88             :   const auto projection_matrices = Spectral::projection_matrix_parent_to_child(
      89             :       face_mesh, mortar_mesh, mortar_size);
      90             :   // We don't add an ASSERT about sizes here because there's already one in
      91             :   // apply_matrices
      92             :   apply_matrices(result, projection_matrices, vars, face_mesh.extents());
      93             : }
      94             : 
      95             : template <typename Tags, size_t Dim>
      96           1 : Variables<Tags> project_to_mortar(const Variables<Tags>& vars,
      97             :                                   const Mesh<Dim>& face_mesh,
      98             :                                   const Mesh<Dim>& mortar_mesh,
      99             :                                   const MortarSize<Dim>& mortar_size) {
     100             :   Variables<Tags> result{mortar_mesh.number_of_grid_points()};
     101             :   project_to_mortar(make_not_null(&result), vars, face_mesh, mortar_mesh,
     102             :                     mortar_size);
     103             :   return result;
     104             : }
     105             : /// @}
     106             : 
     107             : /// @{
     108             : /// \ingroup DiscontinuousGalerkinGroup
     109             : /// Project variables from a mortar to a face.
     110             : template <typename Tags, size_t Dim>
     111           1 : void project_from_mortar(const gsl::not_null<Variables<Tags>*> result,
     112             :                          const Variables<Tags>& vars,
     113             :                          const Mesh<Dim>& face_mesh,
     114             :                          const Mesh<Dim>& mortar_mesh,
     115             :                          const MortarSize<Dim>& mortar_size) {
     116             :   ASSERT(Spectral::needs_projection(face_mesh, mortar_mesh, mortar_size),
     117             :          "project_from_mortar should not be called if the interface mesh and "
     118             :          "mortar mesh are identical. Please elide the copy instead.");
     119             :   const auto projection_matrices = Spectral::projection_matrix_child_to_parent(
     120             :       mortar_mesh, face_mesh, mortar_size);
     121             :   // We don't add an ASSERT about sizes here because there's already one in
     122             :   // apply_matrices
     123             :   apply_matrices(result, projection_matrices, vars, mortar_mesh.extents());
     124             : }
     125             : 
     126             : template <typename Tags, size_t Dim>
     127           1 : Variables<Tags> project_from_mortar(const Variables<Tags>& vars,
     128             :                                     const Mesh<Dim>& face_mesh,
     129             :                                     const Mesh<Dim>& mortar_mesh,
     130             :                                     const MortarSize<Dim>& mortar_size) {
     131             :   ASSERT(Spectral::needs_projection(face_mesh, mortar_mesh, mortar_size),
     132             :          "project_from_mortar should not be called if the interface mesh and "
     133             :          "mortar mesh are identical. Please elide the copy instead.");
     134             :   Variables<Tags> result{face_mesh.number_of_grid_points()};
     135             :   project_from_mortar(make_not_null(&result), vars, face_mesh, mortar_mesh,
     136             :                       mortar_size);
     137             :   return result;
     138             : }
     139             : /// @}
     140             : }  // namespace dg