Line data    Source code

       1           0 : // Distributed under the MIT License.
       2             : // See LICENSE.txt for details.
       3             : 
       4             : #pragma once
       5             : 
       6             : #include <cstddef>
       7             : #include <optional>
       8             : #include <tuple>
       9             : 
      10             : #include "DataStructures/DataBox/DataBox.hpp"
      11             : #include "DataStructures/DataBox/PrefixHelpers.hpp"
      12             : #include "DataStructures/DataBox/Prefixes.hpp"
      13             : #include "DataStructures/DataVector.hpp"
      14             : #include "DataStructures/Tensor/Slice.hpp"
      15             : #include "DataStructures/Tensor/Tensor.hpp"
      16             : #include "DataStructures/Variables.hpp"
      17             : #include "Domain/Structure/Direction.hpp"
      18             : #include "Domain/Structure/IndexToSliceAt.hpp"
      19             : #include "Domain/Tags.hpp"
      20             : #include "Evolution/Systems/CurvedScalarWave/System.hpp"
      21             : #include "Evolution/Systems/CurvedScalarWave/Tags.hpp"
      22             : #include "Evolution/Systems/CurvedScalarWave/Worldtube/Inboxes.hpp"
      23             : #include "Evolution/Systems/CurvedScalarWave/Worldtube/PunctureField.hpp"
      24             : #include "Evolution/Systems/CurvedScalarWave/Worldtube/Tags.hpp"
      25             : #include "NumericalAlgorithms/LinearOperators/PartialDerivatives.hpp"
      26             : #include "NumericalAlgorithms/Spectral/Mesh.hpp"
      27             : #include "Parallel/AlgorithmExecution.hpp"
      28             : #include "Parallel/AlgorithmMetafunctions.hpp"
      29             : #include "Parallel/GlobalCache.hpp"
      30             : #include "Parallel/Invoke.hpp"
      31             : #include "PointwiseFunctions/GeneralRelativity/Tags.hpp"
      32             : #include "Utilities/Gsl.hpp"
      33             : #include "Utilities/TMPL.hpp"
      34             : 
      35             : /// \cond
      36             : namespace Tags {
      37             : struct TimeStepId;
      38             : }  // namespace Tags
      39             : /// \endcond
      40             : 
      41           0 : namespace CurvedScalarWave::Worldtube::Actions {
      42             : 
      43             : /*!
      44             :  * \brief Checks if the regular field has been received from the worldtube and
      45             :  * computes the retarded field for boundary conditions.
      46             :  *
      47             :  *  \details This action checks whether values for the regular field have been
      48             :  * send by the worldtube. If so, the spatial derivative is converted from the
      49             :  * grid to inertial frame and the puncture field is added to it to obtain the
      50             :  * retarded field. This is stored in \ref Tags::WorldtubeSolution which is used
      51             :  * to formulate boundary conditions in
      52             :  * \ref CurvedScalarWave::BoundaryConditions::Worldtube.
      53             :  */
      54           1 : struct ReceiveWorldtubeData {
      55           0 :   static constexpr size_t Dim = 3;
      56           0 :   using psi_tag = CurvedScalarWave::Tags::Psi;
      57           0 :   using dt_psi_tag = ::Tags::dt<CurvedScalarWave::Tags::Psi>;
      58             :   template <typename Frame>
      59           0 :   using di_psi_tag =
      60             :       ::Tags::deriv<CurvedScalarWave::Tags::Psi, tmpl::size_t<Dim>, Frame>;
      61           0 :   using received_tags =
      62             :       tmpl::list<psi_tag, dt_psi_tag, di_psi_tag<Frame::Grid>>;
      63           0 :   using evolved_tags_list =
      64             :       typename CurvedScalarWave::System<Dim>::variables_tag::tags_list;
      65           0 :   using simple_tags = tmpl::list<Tags::WorldtubeSolution<Dim>>;
      66           0 :   using inbox_tags = tmpl::list<Tags::RegularFieldInbox<Dim>>;
      67           0 :   using tags_to_slice_to_face = tmpl::list<
      68             :       domain::Tags::InverseJacobian<Dim, Frame::Grid, Frame::Inertial>,
      69             :       gr::Tags::Shift<DataVector, Dim>, gr::Tags::Lapse<DataVector>>;
      70             : 
      71             :   template <typename DbTagsList, typename... InboxTags, typename Metavariables,
      72             :             typename ArrayIndex, typename ActionList,
      73             :             typename ParallelComponent>
      74           0 :   static Parallel::iterable_action_return_t apply(
      75             :       db::DataBox<DbTagsList>& box, tuples::TaggedTuple<InboxTags...>& inboxes,
      76             :       const Parallel::GlobalCache<Metavariables>& /*cache*/,
      77             :       const ArrayIndex& /*array_index*/, const ActionList /*meta*/,
      78             :       const ParallelComponent* const /*meta*/) {
      79             :     const auto& puncture_field = db::get<Tags::PunctureField<Dim>>(box);
      80             :     if (puncture_field.has_value()) {
      81             :       const auto& time_step_id = db::get<::Tags::TimeStepId>(box);
      82             :       auto& inbox = get<Tags::RegularFieldInbox<Dim>>(inboxes);
      83             :       if (not inbox.count(time_step_id)) {
      84             :         return {Parallel::AlgorithmExecution::Retry, std::nullopt};
      85             :       }
      86             :       const auto& element_id = db::get<domain::Tags::Element<Dim>>(box).id();
      87             :       const auto& excision_sphere = db::get<Tags::ExcisionSphere<Dim>>(box);
      88             :       const auto direction = excision_sphere.abutting_direction(element_id);
      89             :       ASSERT(direction.has_value(), "This element should abut the worldtube!");
      90             : 
      91             :       const auto& mesh = db::get<domain::Tags::Mesh<Dim>>(box);
      92             :       const auto face_mesh = mesh.slice_away(direction->dimension());
      93             :       const size_t face_size = face_mesh.number_of_grid_points();
      94             :       Variables<tags_to_slice_to_face> vars_on_face(face_size);
      95             :       tmpl::for_each<tags_to_slice_to_face>(
      96             :           [&box, &vars_on_face, &mesh, &direction](auto tag_to_slice_v) {
      97             :             using tag_to_slice = typename decltype(tag_to_slice_v)::type;
      98             :             data_on_slice(make_not_null(&get<tag_to_slice>(vars_on_face)),
      99             :                           db::get<tag_to_slice>(box), mesh.extents(),
     100             :                           direction.value().dimension(),
     101             :                           index_to_slice_at(mesh.extents(), direction.value()));
     102             :           });
     103             : 
     104             :       auto& received_data = inbox.at(time_step_id);
     105             :       get(get<psi_tag>(received_data)) +=
     106             :           get(get<psi_tag>(puncture_field.value()));
     107             : 
     108             :       // the advective term transforms the time derivative back into the
     109             :       // inertial frame
     110             :       get(get<dt_psi_tag>(received_data)) +=
     111             :           get(get<dt_psi_tag>(puncture_field.value())) -
     112             :           get(get<Tags::RegularFieldAdvectiveTerm<Dim>>(box));
     113             : 
     114             :       db::mutate<Tags::WorldtubeSolution<Dim>>(
     115             :           [&received_data, &puncture_field,
     116             :            &vars_on_face](const gsl::not_null<Variables<evolved_tags_list>*>
     117             :                               worldtube_solution) {
     118             :             worldtube_solution->initialize(
     119             :                 puncture_field.value().number_of_grid_points());
     120             :             const auto& inv_jacobian = get<domain::Tags::InverseJacobian<
     121             :                 Dim, Frame::Grid, Frame::Inertial>>(vars_on_face);
     122             :             auto& phi_inertial =
     123             :                 get<CurvedScalarWave::Tags::Phi<Dim>>(*worldtube_solution);
     124             :             for (size_t i = 0; i < Dim; ++i) {
     125             :               phi_inertial.get(i) =
     126             :                   get<0>(get<di_psi_tag<Frame::Grid>>(received_data)) *
     127             :                       inv_jacobian.get(0, i) +
     128             :                   get<1>(get<di_psi_tag<Frame::Grid>>(received_data)) *
     129             :                       inv_jacobian.get(1, i) +
     130             :                   get<2>(get<di_psi_tag<Frame::Grid>>(received_data)) *
     131             :                       inv_jacobian.get(2, i);
     132             :               phi_inertial.get(i) +=
     133             :                   get<di_psi_tag<Frame::Inertial>>(puncture_field.value())
     134             :                       .get(i);
     135             :             }
     136             : 
     137             :             get<CurvedScalarWave::Tags::Psi>(*worldtube_solution) =
     138             :                 get<psi_tag>(received_data);
     139             :             const auto& shift =
     140             :                 get<gr::Tags::Shift<DataVector, Dim>>(vars_on_face);
     141             : 
     142             :             const auto& lapse = get<gr::Tags::Lapse<DataVector>>(vars_on_face);
     143             :             auto& pi = get<CurvedScalarWave::Tags::Pi>(*worldtube_solution);
     144             :             get(pi) = (-get(get<dt_psi_tag>(received_data)) +
     145             :                        get(dot_product(shift, phi_inertial))) /
     146             :                       get(lapse);
     147             :           },
     148             :           make_not_null(&box));
     149             :       inbox.erase(time_step_id);
     150             :     }
     151             :     return {Parallel::AlgorithmExecution::Continue, std::nullopt};
     152             :   }
     153             : };
     154             : }  // namespace CurvedScalarWave::Worldtube::Actions