SpECTRE Documentation Coverage Report
Current view: top level - Evolution/Executables/CurvedScalarWave - EvolveCurvedScalarWave.hpp Hit Total Coverage
Commit: 1f2210958b4f38fdc0400907ee7c6d5af5111418 Lines: 0 31 0.0 %
Date: 2025-12-05 05:03:31
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          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 <cstdint>
       8             : #include <vector>
       9             : 
      10             : #include "DataStructures/Tensor/EagerMath/Norms.hpp"
      11             : #include "Domain/Creators/Factory1D.hpp"
      12             : #include "Domain/Creators/Factory2D.hpp"
      13             : #include "Domain/Creators/Factory3D.hpp"
      14             : #include "Domain/Tags.hpp"
      15             : #include "Evolution/Actions/RunEventsAndDenseTriggers.hpp"
      16             : #include "Evolution/Actions/RunEventsAndTriggers.hpp"
      17             : #include "Evolution/BoundaryCorrection.hpp"
      18             : #include "Evolution/ComputeTags.hpp"
      19             : #include "Evolution/DiscontinuousGalerkin/Actions/ApplyBoundaryCorrections.hpp"
      20             : #include "Evolution/DiscontinuousGalerkin/Actions/ComputeTimeDerivative.hpp"
      21             : #include "Evolution/DiscontinuousGalerkin/CleanMortarHistory.hpp"
      22             : #include "Evolution/DiscontinuousGalerkin/DgElementArray.hpp"
      23             : #include "Evolution/DiscontinuousGalerkin/Initialization/Mortars.hpp"
      24             : #include "Evolution/DiscontinuousGalerkin/Initialization/QuadratureTag.hpp"
      25             : #include "Evolution/Initialization/DgDomain.hpp"
      26             : #include "Evolution/Initialization/Evolution.hpp"
      27             : #include "Evolution/Initialization/NonconservativeSystem.hpp"
      28             : #include "Evolution/Initialization/SetVariables.hpp"
      29             : #include "Evolution/Systems/CurvedScalarWave/Actions/SetInitialData.hpp"
      30             : #include "Evolution/Systems/CurvedScalarWave/BackgroundSpacetime.hpp"
      31             : #include "Evolution/Systems/CurvedScalarWave/BoundaryConditions/Factory.hpp"
      32             : #include "Evolution/Systems/CurvedScalarWave/BoundaryCorrections/Factory.hpp"
      33             : #include "Evolution/Systems/CurvedScalarWave/CalculateGrVars.hpp"
      34             : #include "Evolution/Systems/CurvedScalarWave/Constraints.hpp"
      35             : #include "Evolution/Systems/CurvedScalarWave/Initialize.hpp"
      36             : #include "Evolution/Systems/CurvedScalarWave/PsiSquared.hpp"
      37             : #include "Evolution/Systems/CurvedScalarWave/System.hpp"
      38             : #include "Evolution/Systems/CurvedScalarWave/Tags.hpp"
      39             : #include "Evolution/Tags/Filter.hpp"
      40             : #include "IO/Importers/Actions/RegisterWithElementDataReader.hpp"
      41             : #include "IO/Importers/ElementDataReader.hpp"
      42             : #include "IO/Observer/Actions/RegisterEvents.hpp"
      43             : #include "IO/Observer/Helpers.hpp"
      44             : #include "IO/Observer/ObserverComponent.hpp"
      45             : #include "NumericalAlgorithms/DiscontinuousGalerkin/Formulation.hpp"
      46             : #include "NumericalAlgorithms/DiscontinuousGalerkin/Tags.hpp"
      47             : #include "NumericalAlgorithms/LinearOperators/ExponentialFilter.hpp"
      48             : #include "Options/Protocols/FactoryCreation.hpp"
      49             : #include "Options/String.hpp"
      50             : #include "Parallel/Local.hpp"
      51             : #include "Parallel/Phase.hpp"
      52             : #include "Parallel/PhaseControl/CheckpointAndExitAfterWallclock.hpp"
      53             : #include "Parallel/PhaseControl/ExecutePhaseChange.hpp"
      54             : #include "Parallel/PhaseControl/Factory.hpp"
      55             : #include "Parallel/PhaseControl/VisitAndReturn.hpp"
      56             : #include "Parallel/PhaseDependentActionList.hpp"
      57             : #include "Parallel/Protocols/RegistrationMetavariables.hpp"
      58             : #include "Parallel/Reduction.hpp"
      59             : #include "ParallelAlgorithms/Actions/AddComputeTags.hpp"
      60             : #include "ParallelAlgorithms/Actions/AddSimpleTags.hpp"
      61             : #include "ParallelAlgorithms/Actions/FilterAction.hpp"
      62             : #include "ParallelAlgorithms/Actions/InitializeItems.hpp"
      63             : #include "ParallelAlgorithms/Actions/MutateApply.hpp"
      64             : #include "ParallelAlgorithms/Actions/TerminatePhase.hpp"
      65             : #include "ParallelAlgorithms/Events/Factory.hpp"
      66             : #include "ParallelAlgorithms/Events/ObserveNorms.hpp"
      67             : #include "ParallelAlgorithms/Events/ObserveTimeStepVolume.hpp"
      68             : #include "ParallelAlgorithms/EventsAndDenseTriggers/DenseTrigger.hpp"
      69             : #include "ParallelAlgorithms/EventsAndDenseTriggers/DenseTriggers/Factory.hpp"
      70             : #include "ParallelAlgorithms/EventsAndTriggers/Completion.hpp"
      71             : #include "ParallelAlgorithms/EventsAndTriggers/Event.hpp"
      72             : #include "ParallelAlgorithms/EventsAndTriggers/EventsAndTriggers.hpp"
      73             : #include "ParallelAlgorithms/EventsAndTriggers/LogicalTriggers.hpp"
      74             : #include "ParallelAlgorithms/EventsAndTriggers/Trigger.hpp"
      75             : #include "ParallelAlgorithms/Interpolation/Actions/ElementInitInterpPoints.hpp"
      76             : #include "ParallelAlgorithms/Interpolation/Actions/InitializeInterpolationTarget.hpp"
      77             : #include "ParallelAlgorithms/Interpolation/Callbacks/ObserveTimeSeriesOnSurface.hpp"
      78             : #include "ParallelAlgorithms/Interpolation/Events/InterpolateWithoutInterpComponent.hpp"
      79             : #include "ParallelAlgorithms/Interpolation/InterpolationTarget.hpp"
      80             : #include "ParallelAlgorithms/Interpolation/Protocols/InterpolationTargetTag.hpp"
      81             : #include "ParallelAlgorithms/Interpolation/Tags.hpp"
      82             : #include "ParallelAlgorithms/Interpolation/Targets/Sphere.hpp"
      83             : #include "PointwiseFunctions/AnalyticData/AnalyticData.hpp"
      84             : #include "PointwiseFunctions/AnalyticData/CurvedWaveEquation/PureSphericalHarmonic.hpp"
      85             : #include "PointwiseFunctions/AnalyticData/Tags.hpp"
      86             : #include "PointwiseFunctions/AnalyticSolutions/AnalyticSolution.hpp"
      87             : #include "PointwiseFunctions/AnalyticSolutions/GeneralRelativity/KerrSchild.hpp"
      88             : #include "PointwiseFunctions/AnalyticSolutions/GeneralRelativity/Minkowski.hpp"
      89             : #include "PointwiseFunctions/AnalyticSolutions/Tags.hpp"
      90             : #include "PointwiseFunctions/AnalyticSolutions/WaveEquation/Factory.hpp"
      91             : #include "PointwiseFunctions/AnalyticSolutions/WaveEquation/PlaneWave.hpp"
      92             : #include "PointwiseFunctions/GeneralRelativity/Christoffel.hpp"
      93             : #include "PointwiseFunctions/GeneralRelativity/GeneralizedHarmonic/ExtrinsicCurvature.hpp"
      94             : #include "PointwiseFunctions/GeneralRelativity/KerrHorizon.hpp"
      95             : #include "PointwiseFunctions/GeneralRelativity/Surfaces/Tags.hpp"
      96             : #include "PointwiseFunctions/InitialDataUtilities/InitialData.hpp"
      97             : #include "PointwiseFunctions/InitialDataUtilities/Tags/InitialData.hpp"
      98             : #include "PointwiseFunctions/MathFunctions/Factory.hpp"
      99             : #include "PointwiseFunctions/MathFunctions/MathFunction.hpp"
     100             : #include "Time/Actions/SelfStartActions.hpp"
     101             : #include "Time/AdvanceTime.hpp"
     102             : #include "Time/ChangeSlabSize/Action.hpp"
     103             : #include "Time/ChangeTimeStepperOrder.hpp"
     104             : #include "Time/CleanHistory.hpp"
     105             : #include "Time/RecordTimeStepperData.hpp"
     106             : #include "Time/StepChoosers/ByBlock.hpp"
     107             : #include "Time/StepChoosers/Factory.hpp"
     108             : #include "Time/StepChoosers/StepChooser.hpp"
     109             : #include "Time/Tags/Time.hpp"
     110             : #include "Time/Tags/TimeStepId.hpp"
     111             : #include "Time/TimeSteppers/Factory.hpp"
     112             : #include "Time/TimeSteppers/LtsTimeStepper.hpp"
     113             : #include "Time/TimeSteppers/TimeStepper.hpp"
     114             : #include "Time/Triggers/TimeTriggers.hpp"
     115             : #include "Time/UpdateU.hpp"
     116             : #include "Utilities/ErrorHandling/Error.hpp"
     117             : #include "Utilities/ProtocolHelpers.hpp"
     118             : #include "Utilities/TMPL.hpp"
     119             : 
     120             : /// \cond
     121             : namespace Frame {
     122             : struct Inertial;
     123             : }  // namespace Frame
     124             : namespace Parallel {
     125             : template <typename Metavariables>
     126             : class CProxy_GlobalCache;
     127             : }  // namespace Parallel
     128             : namespace PUP {
     129             : class er;
     130             : }  // namespace PUP
     131             : /// \endcond
     132             : 
     133             : template <size_t Dim, typename BackgroundSpacetime>
     134             : struct EvolutionMetavars {
     135             :   static constexpr size_t volume_dim = Dim;
     136           0 :   using background_spacetime = BackgroundSpacetime;
     137             : 
     138           0 :   using system = CurvedScalarWave::System<Dim>;
     139           0 :   using temporal_id = Tags::TimeStepId;
     140           0 :   using TimeStepperBase = LtsTimeStepper;
     141             : 
     142             :   static constexpr bool local_time_stepping =
     143             :       TimeStepperBase::local_time_stepping;
     144             :   static constexpr bool use_dg_element_collection = false;
     145             : 
     146           0 :   using deriv_compute = ::Tags::DerivCompute<
     147             :       typename system::variables_tag, domain::Tags::Mesh<volume_dim>,
     148             :       domain::Tags::InverseJacobian<volume_dim, Frame::ElementLogical,
     149             :                                     Frame::Inertial>,
     150             :       typename system::gradient_variables>;
     151             : 
     152           0 :   using observe_fields = tmpl::push_back<
     153             :       tmpl::flatten<tmpl::list<
     154             :           tmpl::append<typename system::variables_tag::tags_list,
     155             :                        typename deriv_compute::type::tags_list>,
     156             :           ::Events::Tags::ObserverDetInvJacobianCompute<Frame::ElementLogical,
     157             :                                                         Frame::Inertial>,
     158             :           CurvedScalarWave::Tags::OneIndexConstraintCompute<volume_dim>,
     159             :           CurvedScalarWave::Tags::TwoIndexConstraintCompute<volume_dim>,
     160             :           ::Tags::PointwiseL2NormCompute<
     161             :               CurvedScalarWave::Tags::OneIndexConstraint<volume_dim>>,
     162             :           ::Tags::PointwiseL2NormCompute<
     163             :               CurvedScalarWave::Tags::TwoIndexConstraint<volume_dim>>>>,
     164             :       domain::Tags::Coordinates<volume_dim, Frame::Grid>,
     165             :       domain::Tags::Coordinates<volume_dim, Frame::Inertial>>;
     166           0 :   using non_tensor_compute_tags =
     167             :       tmpl::list<::Events::Tags::ObserverMeshCompute<volume_dim>,
     168             :                  deriv_compute>;
     169             : 
     170           0 :   static constexpr bool interpolate = volume_dim == 3;
     171           0 :   struct SphericalSurface
     172             :       : tt::ConformsTo<intrp::protocols::InterpolationTargetTag> {
     173           0 :     using temporal_id = ::Tags::Time;
     174           0 :     using vars_to_interpolate_to_target =
     175             :         tmpl::list<gr::Tags::SpatialMetric<DataVector, Dim>,
     176             :                    CurvedScalarWave::Tags::Psi>;
     177           0 :     using compute_items_on_target =
     178             :         tmpl::list<CurvedScalarWave::Tags::PsiSquaredCompute,
     179             :                    gr::surfaces::Tags::AreaElementCompute<::Frame::Inertial>,
     180             :                    gr::surfaces::Tags::SurfaceIntegralCompute<
     181             :                        CurvedScalarWave::Tags::PsiSquared, ::Frame::Inertial>>;
     182           0 :     using compute_target_points =
     183             :         intrp::TargetPoints::Sphere<SphericalSurface, ::Frame::Inertial>;
     184           0 :     using post_interpolation_callbacks =
     185             :         tmpl::list<intrp::callbacks::ObserveTimeSeriesOnSurface<
     186             :             tmpl::list<gr::surfaces::Tags::SurfaceIntegral<
     187             :                 CurvedScalarWave::Tags::PsiSquared, ::Frame::Inertial>>,
     188             :             SphericalSurface>>;
     189             :     template <typename metavariables>
     190           0 :     using interpolating_component = typename metavariables::dg_element_array;
     191             :   };
     192             : 
     193           0 :   using initial_data_list = tmpl::flatten<tmpl::list<
     194             :       ScalarWave::Solutions::all_solutions<Dim>,
     195             :       tmpl::conditional_t<
     196             :           Dim == 3,
     197             :           tmpl::list<CurvedScalarWave::AnalyticData::PureSphericalHarmonic,
     198             :                      CurvedScalarWave::NumericInitialData>,
     199             :           tmpl::list<>>>>;
     200           0 :   using interpolation_target_tags = tmpl::list<SphericalSurface>;
     201           0 :   using interpolator_source_vars =
     202             :       tmpl::list<gr::Tags::SpatialMetric<DataVector, volume_dim>,
     203             :                  CurvedScalarWave::Tags::Psi>;
     204             :   struct factory_creation
     205             :       : tt::ConformsTo<Options::protocols::FactoryCreation> {
     206           0 :     using factory_classes = tmpl::map<
     207             :         tmpl::pair<
     208             :             CurvedScalarWave::BoundaryConditions::BoundaryCondition<volume_dim>,
     209             :             CurvedScalarWave::BoundaryConditions::standard_boundary_conditions<
     210             :                 volume_dim>>,
     211             :         tmpl::pair<DenseTrigger, DenseTriggers::standard_dense_triggers>,
     212             :         tmpl::pair<DomainCreator<volume_dim>, domain_creators<volume_dim>>,
     213             :         tmpl::pair<
     214             :             Event,
     215             :             tmpl::flatten<tmpl::list<
     216             :                 Events::Completion,
     217             :                 dg::Events::field_observations<volume_dim, observe_fields,
     218             :                                                non_tensor_compute_tags>,
     219             :                 tmpl::conditional_t<
     220             :                     interpolate,
     221             :                     intrp::Events::InterpolateWithoutInterpComponent<
     222             :                         volume_dim, SphericalSurface, interpolator_source_vars>,
     223             :                     tmpl::list<>>,
     224             :                 Events::time_events<system>,
     225             :                 dg::Events::ObserveTimeStepVolume<system>>>>,
     226             :         tmpl::pair<evolution::BoundaryCorrection,
     227             :                    CurvedScalarWave::BoundaryCorrections::
     228             :                        standard_boundary_corrections<volume_dim>>,
     229             :         tmpl::pair<evolution::initial_data::InitialData, initial_data_list>,
     230             :         tmpl::pair<LtsTimeStepper, TimeSteppers::lts_time_steppers>,
     231             :         tmpl::pair<MathFunction<1, Frame::Inertial>,
     232             :                    MathFunctions::all_math_functions<1, Frame::Inertial>>,
     233             :         tmpl::pair<PhaseChange, PhaseControl::factory_creatable_classes>,
     234             :         tmpl::pair<StepChooser<StepChooserUse::LtsStep>,
     235             :                    tmpl::push_back<StepChoosers::standard_step_choosers<system>,
     236             :                                    StepChoosers::ByBlock<volume_dim>>>,
     237             :         tmpl::pair<StepChooser<StepChooserUse::Slab>,
     238             :                    tmpl::push_back<StepChoosers::standard_slab_choosers<
     239             :                                        system, local_time_stepping>,
     240             :                                    StepChoosers::ByBlock<volume_dim>>>,
     241             :         tmpl::pair<TimeSequence<double>,
     242             :                    TimeSequences::all_time_sequences<double>>,
     243             :         tmpl::pair<TimeSequence<std::uint64_t>,
     244             :                    TimeSequences::all_time_sequences<std::uint64_t>>,
     245             :         tmpl::pair<TimeStepper, TimeSteppers::time_steppers>,
     246             :         tmpl::pair<Trigger, tmpl::append<Triggers::logical_triggers,
     247             :                                          Triggers::time_triggers>>>;
     248             :   };
     249             : 
     250           0 :   using observed_reduction_data_tags = observers::collect_reduction_data_tags<
     251             :       tmpl::at<typename factory_creation::factory_classes, Event>>;
     252             : 
     253           0 :   static constexpr bool use_filtering = true;
     254             : 
     255           0 :   using step_actions = tmpl::flatten<tmpl::list<
     256             :       CurvedScalarWave::Actions::CalculateGrVars<system, true>,
     257             :       evolution::dg::Actions::ComputeTimeDerivative<
     258             :           volume_dim, system, AllStepChoosers, local_time_stepping,
     259             :           use_dg_element_collection>,
     260             :       tmpl::conditional_t<
     261             :           local_time_stepping,
     262             :           tmpl::list<Actions::MutateApply<RecordTimeStepperData<system>>,
     263             :                      evolution::Actions::RunEventsAndDenseTriggers<
     264             :                          tmpl::list<evolution::dg::ApplyBoundaryCorrections<
     265             :                              local_time_stepping, EvolutionMetavars, volume_dim,
     266             :                              true>>>,
     267             :                      Actions::MutateApply<UpdateU<system, local_time_stepping>>,
     268             :                      evolution::dg::Actions::ApplyLtsBoundaryCorrections<
     269             :                          volume_dim, false, use_dg_element_collection>,
     270             :                      Actions::MutateApply<ChangeTimeStepperOrder<system>>>,
     271             :           tmpl::list<
     272             :               evolution::dg::Actions::ApplyBoundaryCorrectionsToTimeDerivative<
     273             :                   volume_dim, false, use_dg_element_collection>,
     274             :               Actions::MutateApply<RecordTimeStepperData<system>>,
     275             :               evolution::Actions::RunEventsAndDenseTriggers<tmpl::list<>>,
     276             :               Actions::MutateApply<UpdateU<system, local_time_stepping>>>>,
     277             :       Actions::MutateApply<CleanHistory<system>>,
     278             :       tmpl::conditional_t<
     279             :           local_time_stepping,
     280             :           Actions::MutateApply<evolution::dg::CleanMortarHistory<system>>,
     281             :           tmpl::list<>>,
     282             :       tmpl::conditional_t<
     283             :           use_filtering,
     284             :           dg::Actions::Filter<Filters::Exponential<0>,
     285             :                               tmpl::list<CurvedScalarWave::Tags::Psi,
     286             :                                          CurvedScalarWave::Tags::Pi,
     287             :                                          CurvedScalarWave::Tags::Phi<Dim>>>,
     288             :           tmpl::list<>>>>;
     289             : 
     290           0 :   using const_global_cache_tags = tmpl::list<
     291             :       CurvedScalarWave::Tags::BackgroundSpacetime<BackgroundSpacetime>,
     292             :       evolution::initial_data::Tags::InitialData>;
     293             : 
     294           0 :   using dg_registration_list =
     295             :       tmpl::list<observers::Actions::RegisterEventsWithObservers>;
     296             : 
     297           0 :   using initialization_actions = tmpl::list<
     298             :       Initialization::Actions::InitializeItems<
     299             :           Initialization::TimeStepping<EvolutionMetavars, TimeStepperBase>,
     300             :           evolution::dg::Initialization::Domain<EvolutionMetavars>,
     301             :           Initialization::TimeStepperHistory<EvolutionMetavars>>,
     302             :       Initialization::Actions::NonconservativeSystem<system>,
     303             :       CurvedScalarWave::Actions::CalculateGrVars<system, false>,
     304             :       Initialization::Actions::AddSimpleTags<
     305             :           CurvedScalarWave::Initialization::InitializeConstraintDampingGammas<
     306             :               volume_dim>>,
     307             :       Initialization::Actions::AddComputeTags<
     308             :           tmpl::flatten<tmpl::list<StepChoosers::step_chooser_compute_tags<
     309             :               EvolutionMetavars, local_time_stepping>>>>,
     310             :       ::evolution::dg::Initialization::Mortars<volume_dim, system>,
     311             :       intrp::Actions::ElementInitInterpPoints<volume_dim,
     312             :                                               interpolation_target_tags>,
     313             :       evolution::Actions::InitializeRunEventsAndDenseTriggers,
     314             :       Parallel::Actions::TerminatePhase>;
     315             : 
     316           0 :   using dg_element_array = DgElementArray<
     317             :       EvolutionMetavars,
     318             :       tmpl::list<
     319             :           Parallel::PhaseActions<Parallel::Phase::Initialization,
     320             :                                  initialization_actions>,
     321             :           Parallel::PhaseActions<
     322             :               Parallel::Phase::RegisterWithElementDataReader,
     323             :               tmpl::list<importers::Actions::RegisterWithElementDataReader,
     324             :                          Parallel::Actions::TerminatePhase>>,
     325             :           Parallel::PhaseActions<
     326             :               Parallel::Phase::ImportInitialData,
     327             :               tmpl::list<CurvedScalarWave::Actions::SetInitialData,
     328             :                          CurvedScalarWave::Actions::ReceiveNumericInitialData,
     329             :                          Parallel::Actions::TerminatePhase>>,
     330             :           Parallel::PhaseActions<
     331             :               Parallel::Phase::InitializeTimeStepperHistory,
     332             :               SelfStart::self_start_procedure<step_actions, system>>,
     333             :           Parallel::PhaseActions<Parallel::Phase::Register,
     334             :                                  tmpl::list<dg_registration_list,
     335             :                                             Parallel::Actions::TerminatePhase>>,
     336             :           Parallel::PhaseActions<Parallel::Phase::Restart,
     337             :                                  tmpl::list<dg_registration_list,
     338             :                                             Parallel::Actions::TerminatePhase>>,
     339             :           Parallel::PhaseActions<
     340             :               Parallel::Phase::WriteCheckpoint,
     341             :               tmpl::list<evolution::Actions::RunEventsAndTriggers<
     342             :                              Triggers::WhenToCheck::AtCheckpoints>,
     343             :                          Parallel::Actions::TerminatePhase>>,
     344             :           Parallel::PhaseActions<
     345             :               Parallel::Phase::Evolve,
     346             :               tmpl::flatten<tmpl::list<
     347             :                   std::conditional_t<local_time_stepping,
     348             :                                      evolution::Actions::RunEventsAndTriggers<
     349             :                                          Triggers::WhenToCheck::AtSteps>,
     350             :                                      tmpl::list<>>,
     351             :                   evolution::Actions::RunEventsAndTriggers<
     352             :                       Triggers::WhenToCheck::AtSlabs>,
     353             :                   Actions::ChangeSlabSize, step_actions,
     354             :                   Actions::MutateApply<AdvanceTime>,
     355             :                   PhaseControl::Actions::ExecutePhaseChange>>>>>;
     356             : 
     357             :   struct registration
     358             :       : tt::ConformsTo<Parallel::protocols::RegistrationMetavariables> {
     359           0 :     using element_registrars =
     360             :         tmpl::map<tmpl::pair<dg_element_array, dg_registration_list>>;
     361             :   };
     362             : 
     363           0 :   using component_list = tmpl::flatten<
     364             :       tmpl::list<observers::Observer<EvolutionMetavars>,
     365             :                  observers::ObserverWriter<EvolutionMetavars>,
     366             :                  importers::ElementDataReader<EvolutionMetavars>,
     367             :                  tmpl::conditional_t<interpolate,
     368             :                                      intrp::InterpolationTarget<
     369             :                                          EvolutionMetavars, SphericalSurface>,
     370             :                                      tmpl::list<>>,
     371             :                  dg_element_array>>;
     372             : 
     373             :   static constexpr Options::String help{
     374             :       "Evolve a scalar wave in Dim spatial dimension on a curved background "
     375             :       "spacetime."};
     376             : 
     377           0 :   static constexpr auto default_phase_order =
     378             :       std::array{Parallel::Phase::Initialization,
     379             :                  Parallel::Phase::RegisterWithElementDataReader,
     380             :                  Parallel::Phase::ImportInitialData,
     381             :                  Parallel::Phase::InitializeTimeStepperHistory,
     382             :                  Parallel::Phase::Register,
     383             :                  Parallel::Phase::Evolve,
     384             :                  Parallel::Phase::Exit};
     385             : 
     386             :   // NOLINTNEXTLINE(google-runtime-references)
     387           0 :   void pup(PUP::er& /*p*/) {}
     388             : };

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