SpECTRE Documentation Coverage Report
Current view: top level - Evolution/Executables/Burgers - EvolveBurgers.hpp Hit Total Coverage
Commit: ecb8a275e1aebab77dcce48a5e098ed4e486ab4b Lines: 0 37 0.0 %
Date: 2026-08-22 01:05:40
Legend: Lines: hit not hit

          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 "Domain/Creators/Factory1D.hpp"
      11             : #include "Domain/Tags.hpp"
      12             : #include "Evolution/Actions/RunEventsAndDenseTriggers.hpp"
      13             : #include "Evolution/Actions/RunEventsAndTriggers.hpp"
      14             : #include "Evolution/BoundaryCorrection.hpp"
      15             : #include "Evolution/ComputeTags.hpp"
      16             : #include "Evolution/DgSubcell/Actions/Initialize.hpp"
      17             : #include "Evolution/DgSubcell/Actions/Labels.hpp"
      18             : #include "Evolution/DgSubcell/Actions/ReconstructionCommunication.hpp"
      19             : #include "Evolution/DgSubcell/Actions/SelectNumericalMethod.hpp"
      20             : #include "Evolution/DgSubcell/Actions/TakeTimeStep.hpp"
      21             : #include "Evolution/DgSubcell/Actions/TciAndRollback.hpp"
      22             : #include "Evolution/DgSubcell/Actions/TciAndSwitchToDg.hpp"
      23             : #include "Evolution/DgSubcell/GetTciDecision.hpp"
      24             : #include "Evolution/DgSubcell/NeighborReconstructedFaceSolution.hpp"
      25             : #include "Evolution/DgSubcell/NeighborTciDecision.hpp"
      26             : #include "Evolution/DgSubcell/PrepareNeighborData.hpp"
      27             : #include "Evolution/DgSubcell/SubcellEqualRateRegion.hpp"
      28             : #include "Evolution/DgSubcell/Tags/ObserverCoordinates.hpp"
      29             : #include "Evolution/DgSubcell/Tags/ObserverMesh.hpp"
      30             : #include "Evolution/DgSubcell/Tags/TciStatus.hpp"
      31             : #include "Evolution/DiscontinuousGalerkin/Actions/ApplyBoundaryCorrections.hpp"
      32             : #include "Evolution/DiscontinuousGalerkin/Actions/ComputeTimeDerivative.hpp"
      33             : #include "Evolution/DiscontinuousGalerkin/CleanMortarHistory.hpp"
      34             : #include "Evolution/DiscontinuousGalerkin/DgElementArray.hpp"
      35             : #include "Evolution/DiscontinuousGalerkin/EqualRateLts/ChangeFixedLtsRatio.hpp"
      36             : #include "Evolution/DiscontinuousGalerkin/EqualRateLts/FixedLtsRatio.hpp"
      37             : #include "Evolution/DiscontinuousGalerkin/Initialization/Mortars.hpp"
      38             : #include "Evolution/DiscontinuousGalerkin/Initialization/QuadratureTag.hpp"
      39             : #include "Evolution/DiscontinuousGalerkin/Initialization/SetupEqualRateRegions.hpp"
      40             : #include "Evolution/DiscontinuousGalerkin/Initialization/SpectralFilters.hpp"
      41             : #include "Evolution/Initialization/ConservativeSystem.hpp"
      42             : #include "Evolution/Initialization/DgDomain.hpp"
      43             : #include "Evolution/Initialization/Evolution.hpp"
      44             : #include "Evolution/Initialization/SetVariables.hpp"
      45             : #include "Evolution/Systems/Burgers/BoundaryConditions/Factory.hpp"
      46             : #include "Evolution/Systems/Burgers/BoundaryCorrections/Factory.hpp"
      47             : #include "Evolution/Systems/Burgers/FiniteDifference/Factory.hpp"
      48             : #include "Evolution/Systems/Burgers/FiniteDifference/Tags.hpp"
      49             : #include "Evolution/Systems/Burgers/Subcell/GhostData.hpp"
      50             : #include "Evolution/Systems/Burgers/Subcell/NeighborPackagedData.hpp"
      51             : #include "Evolution/Systems/Burgers/Subcell/SetInitialRdmpData.hpp"
      52             : #include "Evolution/Systems/Burgers/Subcell/TciOnDgGrid.hpp"
      53             : #include "Evolution/Systems/Burgers/Subcell/TciOnFdGrid.hpp"
      54             : #include "Evolution/Systems/Burgers/Subcell/TimeDerivative.hpp"
      55             : #include "Evolution/Systems/Burgers/System.hpp"
      56             : #include "IO/Observer/Actions/RegisterEvents.hpp"
      57             : #include "IO/Observer/Helpers.hpp"
      58             : #include "IO/Observer/ObserverComponent.hpp"
      59             : #include "NumericalAlgorithms/DiscontinuousGalerkin/Formulation.hpp"
      60             : #include "NumericalAlgorithms/DiscontinuousGalerkin/Tags.hpp"
      61             : #include "NumericalAlgorithms/LinearOperators/Filters/Factory.hpp"
      62             : #include "Options/Protocols/FactoryCreation.hpp"
      63             : #include "Options/String.hpp"
      64             : #include "Parallel/Local.hpp"
      65             : #include "Parallel/Phase.hpp"
      66             : #include "Parallel/PhaseControl/CheckpointAndExitAfterWallclock.hpp"
      67             : #include "Parallel/PhaseControl/ExecutePhaseChange.hpp"
      68             : #include "Parallel/PhaseControl/Factory.hpp"
      69             : #include "Parallel/PhaseControl/VisitAndReturn.hpp"
      70             : #include "Parallel/PhaseDependentActionList.hpp"
      71             : #include "Parallel/Protocols/RegistrationMetavariables.hpp"
      72             : #include "ParallelAlgorithms/Actions/AddComputeTags.hpp"
      73             : #include "ParallelAlgorithms/Actions/InitializeItems.hpp"
      74             : #include "ParallelAlgorithms/Actions/MutateApply.hpp"
      75             : #include "ParallelAlgorithms/Actions/SpectralFilter.hpp"
      76             : #include "ParallelAlgorithms/Actions/TerminatePhase.hpp"
      77             : #include "ParallelAlgorithms/Events/ChangeFixedLtsRatio.hpp"
      78             : #include "ParallelAlgorithms/Events/Completion.hpp"
      79             : #include "ParallelAlgorithms/Events/Factory.hpp"
      80             : #include "ParallelAlgorithms/Events/Tags.hpp"
      81             : #include "ParallelAlgorithms/EventsAndDenseTriggers/DenseTrigger.hpp"
      82             : #include "ParallelAlgorithms/EventsAndDenseTriggers/DenseTriggers/Factory.hpp"
      83             : #include "ParallelAlgorithms/EventsAndTriggers/Event.hpp"
      84             : #include "ParallelAlgorithms/EventsAndTriggers/EventsAndTriggers.hpp"
      85             : #include "ParallelAlgorithms/EventsAndTriggers/LogicalTriggers.hpp"
      86             : #include "ParallelAlgorithms/EventsAndTriggers/Trigger.hpp"
      87             : #include "PointwiseFunctions/AnalyticData/AnalyticData.hpp"
      88             : #include "PointwiseFunctions/AnalyticData/Burgers/Factory.hpp"
      89             : #include "PointwiseFunctions/AnalyticData/Burgers/Sinusoid.hpp"
      90             : #include "PointwiseFunctions/AnalyticSolutions/AnalyticSolution.hpp"
      91             : #include "PointwiseFunctions/AnalyticSolutions/Burgers/Bump.hpp"
      92             : #include "PointwiseFunctions/AnalyticSolutions/Burgers/Factory.hpp"
      93             : #include "PointwiseFunctions/AnalyticSolutions/Burgers/Linear.hpp"
      94             : #include "PointwiseFunctions/AnalyticSolutions/Burgers/Step.hpp"
      95             : #include "PointwiseFunctions/AnalyticSolutions/Tags.hpp"
      96             : #include "Time/Actions/SelfStartActions.hpp"
      97             : #include "Time/AdvanceTime.hpp"
      98             : #include "Time/ChangeSlabSize/Action.hpp"
      99             : #include "Time/ChangeStepSize.hpp"
     100             : #include "Time/ChangeTimeStepperOrder.hpp"
     101             : #include "Time/CleanHistory.hpp"
     102             : #include "Time/RecordTimeStepperData.hpp"
     103             : #include "Time/StepChoosers/Factory.hpp"
     104             : #include "Time/StepChoosers/StepChooser.hpp"
     105             : #include "Time/Tags/Time.hpp"
     106             : #include "Time/Tags/TimeStepId.hpp"
     107             : #include "Time/TimeSequence.hpp"
     108             : #include "Time/TimeSteppers/Factory.hpp"
     109             : #include "Time/TimeSteppers/TimeStepper.hpp"
     110             : #include "Time/Triggers/TimeTriggers.hpp"
     111             : #include "Time/UpdateU.hpp"
     112             : #include "Utilities/ProtocolHelpers.hpp"
     113             : #include "Utilities/TMPL.hpp"
     114             : 
     115             : /// \cond
     116             : namespace PUP {
     117             : class er;
     118             : }  // namespace PUP
     119             : namespace Parallel {
     120             : template <typename Metavariables>
     121             : class CProxy_GlobalCache;
     122             : }  // namespace Parallel
     123             : /// \endcond
     124             : 
     125           0 : struct EvolutionMetavars {
     126           0 :   static constexpr size_t volume_dim = 1;
     127           0 :   using system = Burgers::System;
     128           0 :   using temporal_id = Tags::TimeStepId;
     129             : 
     130           0 :   static constexpr bool use_dg_element_collection = false;
     131             : 
     132             :   // The use_dg_subcell flag controls whether to use unlimited DG (false)
     133             :   // or a DG-FD hybrid scheme (true).
     134           0 :   static constexpr bool use_dg_subcell = true;
     135             : 
     136           0 :   using initial_data_list = tmpl::append<Burgers::Solutions::all_solutions,
     137             :                                          Burgers::AnalyticData::all_data>;
     138             : 
     139           0 :   using analytic_variables_tags = typename system::variables_tag::tags_list;
     140           0 :   using analytic_compute = evolution::Tags::AnalyticSolutionsCompute<
     141             :       volume_dim, analytic_variables_tags, use_dg_subcell, initial_data_list>;
     142           0 :   using error_compute = Tags::ErrorsCompute<analytic_variables_tags>;
     143           0 :   using error_tags = db::wrap_tags_in<Tags::Error, analytic_variables_tags>;
     144           0 :   using observe_fields = tmpl::push_back<
     145             :       tmpl::append<
     146             :           typename system::variables_tag::tags_list, error_tags,
     147             :           tmpl::conditional_t<use_dg_subcell,
     148             :                               tmpl::list<evolution::dg::subcell::Tags::
     149             :                                              TciStatusCompute<volume_dim>>,
     150             :                               tmpl::list<>>>,
     151             :       ::Events::Tags::ObserverDetInvJacobianCompute<Frame::ElementLogical,
     152             :                                                     Frame::Inertial>,
     153             :       tmpl::conditional_t<
     154             :           use_dg_subcell,
     155             :           evolution::dg::subcell::Tags::ObserverCoordinatesCompute<volume_dim,
     156             :                                                                    Frame::Grid>,
     157             :           domain::Tags::Coordinates<volume_dim, Frame::Grid>>,
     158             :       tmpl::conditional_t<
     159             :           use_dg_subcell,
     160             :           evolution::dg::subcell::Tags::ObserverCoordinatesCompute<
     161             :               volume_dim, Frame::Inertial>,
     162             :           domain::Tags::Coordinates<volume_dim, Frame::Inertial>>>;
     163           0 :   using non_tensor_compute_tags = tmpl::list<
     164             :       tmpl::conditional_t<
     165             :           use_dg_subcell,
     166             :           evolution::dg::subcell::Tags::ObserverMeshCompute<volume_dim>,
     167             :           ::Events::Tags::ObserverMeshCompute<volume_dim>>,
     168             :       analytic_compute, error_compute>;
     169             : 
     170           0 :   struct factory_creation
     171             :       : tt::ConformsTo<Options::protocols::FactoryCreation> {
     172           0 :     using factory_classes = tmpl::map<
     173             :         tmpl::pair<Burgers::BoundaryConditions::BoundaryCondition,
     174             :                    Burgers::BoundaryConditions::standard_boundary_conditions>,
     175             :         tmpl::pair<DenseTrigger, DenseTriggers::standard_dense_triggers>,
     176             :         tmpl::pair<DomainCreator<volume_dim>, domain_creators<volume_dim>>,
     177             :         tmpl::pair<Event,
     178             :                    tmpl::flatten<tmpl::list<
     179             :                        Events::Completion,
     180             :                        dg::Events::field_observations<
     181             :                            volume_dim, observe_fields, non_tensor_compute_tags>,
     182             :                        Events::time_events<system>,
     183             :                        dg::Events::ChangeFixedLtsRatio<volume_dim>>>>,
     184             :         tmpl::pair<evolution::BoundaryCorrection,
     185             :                    Burgers::BoundaryCorrections::standard_boundary_corrections>,
     186             :         tmpl::pair<evolution::initial_data::InitialData, initial_data_list>,
     187             :         tmpl::pair<PhaseChange, PhaseControl::factory_creatable_classes>,
     188             :         tmpl::pair<StepChooser<StepChooserUse::LtsStep>,
     189             :                    StepChoosers::standard_step_choosers<system>>,
     190             :         tmpl::pair<StepChooser<StepChooserUse::Slab>,
     191             :                    tmpl::push_back<
     192             :                        StepChoosers::standard_slab_choosers<system>,
     193             :                        evolution::dg::StepChoosers::FixedLtsRatio<volume_dim>>>,
     194             :         tmpl::pair<TimeSequence<double>,
     195             :                    TimeSequences::all_time_sequences<double>>,
     196             :         tmpl::pair<TimeSequence<std::uint64_t>,
     197             :                    TimeSequences::all_time_sequences<std::uint64_t>>,
     198             :         tmpl::pair<TimeStepper, TimeSteppers::time_steppers>,
     199             :         tmpl::pair<Trigger, tmpl::append<Triggers::logical_triggers,
     200             :                                          Triggers::time_triggers>>,
     201             :         tmpl::pair<Filters::Filter<volume_dim,
     202             :                                    typename system::variables_tag::tags_list>,
     203             :                    Filters::all_filters<
     204             :                        volume_dim, typename system::variables_tag::tags_list>>>;
     205             :   };
     206             : 
     207           0 :   struct SubcellOptions {
     208           0 :     static constexpr bool subcell_enabled = use_dg_subcell;
     209           0 :     static constexpr bool subcell_enabled_at_external_boundary = true;
     210             : 
     211             :     // We send `ghost_zone_size` cell-centered grid points for variable
     212             :     // reconstruction, of which we need `ghost_zone_size-1` for reconstruction
     213             :     // to the internal side of the element face, and `ghost_zone_size` for
     214             :     // reconstruction to the external side of the element face.
     215             :     template <typename DbTagsList>
     216           0 :     static constexpr size_t ghost_zone_size(
     217             :         const db::DataBox<DbTagsList>& box) {
     218             :       return db::get<Burgers::fd::Tags::Reconstructor>(box).ghost_zone_size();
     219             :     }
     220             : 
     221           0 :     using DgComputeSubcellNeighborPackagedData =
     222             :         Burgers::subcell::NeighborPackagedData;
     223             : 
     224           0 :     using GhostVariables = Burgers::subcell::GhostVariables;
     225             :   };
     226             : 
     227           0 :   using observed_reduction_data_tags =
     228             :       observers::collect_reduction_data_tags<tmpl::flatten<tmpl::list<
     229             :           tmpl::at<typename factory_creation::factory_classes, Event>>>>;
     230             : 
     231           0 :   using dg_step_actions = tmpl::flatten<tmpl::list<
     232             :       evolution::dg::Actions::ComputeTimeDerivative<
     233             :           volume_dim, system, AllStepChoosers, use_dg_element_collection>,
     234             :       evolution::dg::Actions::ApplyBoundaryCorrectionsToTimeDerivative<
     235             :           volume_dim, use_dg_element_collection>,
     236             :       Actions::MutateApply<RecordTimeStepperData<system>>,
     237             :       evolution::Actions::RunEventsAndDenseTriggers<tmpl::list<
     238             :           evolution::dg::ApplyLtsDenseBoundaryCorrections<EvolutionMetavars>>>,
     239             :       Actions::MutateApply<UpdateU<system>>,
     240             :       evolution::dg::Actions::ApplyLtsBoundaryCorrections<
     241             :           volume_dim, use_dg_element_collection>,
     242             :       Actions::MutateApply<ChangeTimeStepperOrder<system>>,
     243             :       tmpl::conditional_t<use_dg_subcell,
     244             :                           evolution::dg::subcell::Actions::TciAndRollback<
     245             :                               Burgers::subcell::TciOnDgGrid>,
     246             :                           tmpl::list<>>,
     247             :       Actions::MutateApply<CleanHistory<system>>,
     248             :       Actions::MutateApply<evolution::dg::CleanMortarHistory<volume_dim>>,
     249             :       dg::Actions::SpectralFilter<volume_dim,
     250             :                                   typename system::variables_tag::tags_list>>>;
     251             : 
     252           0 :   using dg_subcell_step_actions = tmpl::flatten<tmpl::list<
     253             :       evolution::dg::subcell::Actions::SelectNumericalMethod,
     254             :       Actions::Label<evolution::dg::subcell::Actions::Labels::BeginDg>,
     255             :       dg_step_actions,
     256             :       Actions::Goto<evolution::dg::subcell::Actions::Labels::EndOfSolvers>,
     257             :       Actions::Label<evolution::dg::subcell::Actions::Labels::BeginSubcell>,
     258             :       // This is just to adjust for FixedLtsRatio, so we
     259             :       // can pass an empty list of StepChoosers.
     260             :       Actions::MutateApply<ChangeStepSize<tmpl::list<>>>,
     261             :       evolution::dg::subcell::Actions::SendDataForReconstruction<
     262             :           volume_dim, Burgers::subcell::GhostVariables,
     263             :           use_dg_element_collection>,
     264             :       evolution::dg::subcell::Actions::ReceiveDataForReconstruction<volume_dim>,
     265             :       Actions::Label<
     266             :           evolution::dg::subcell::Actions::Labels::BeginSubcellAfterDgRollback>,
     267             :       evolution::dg::subcell::fd::Actions::TakeTimeStep<
     268             :           Burgers::subcell::TimeDerivative>,
     269             :       Actions::MutateApply<RecordTimeStepperData<system>>,
     270             :       evolution::Actions::RunEventsAndDenseTriggers<tmpl::list<>>,
     271             :       Actions::MutateApply<UpdateU<system>>,
     272             :       Actions::MutateApply<CleanHistory<system>>,
     273             :       Actions::MutateApply<evolution::dg::CleanMortarHistory<volume_dim>>,
     274             :       evolution::dg::subcell::Actions::TciAndSwitchToDg<
     275             :           Burgers::subcell::TciOnFdGrid>,
     276             :       Actions::Label<evolution::dg::subcell::Actions::Labels::EndOfSolvers>>>;
     277             : 
     278           0 :   using step_actions =
     279             :       tmpl::conditional_t<use_dg_subcell, dg_subcell_step_actions,
     280             :                           dg_step_actions>;
     281             : 
     282           0 :   using const_global_cache_tags = tmpl::list<
     283             :       evolution::initial_data::Tags::InitialData,
     284             :       tmpl::conditional_t<use_dg_subcell,
     285             :                           tmpl::list<Burgers::fd::Tags::Reconstructor>,
     286             :                           tmpl::list<>>>;
     287             : 
     288           0 :   using dg_registration_list =
     289             :       tmpl::list<observers::Actions::RegisterEventsWithObservers>;
     290             : 
     291           0 :   using equal_rate_regions = tmpl::conditional_t<
     292             :       use_dg_subcell,
     293             :       tmpl::list<evolution::dg::subcell::SubcellEqualRateRegion<volume_dim>>,
     294             :       tmpl::list<>>;
     295             : 
     296           0 :   using initialization_actions = tmpl::list<
     297             :       Initialization::Actions::InitializeItems<
     298             :           Initialization::TimeStepping<EvolutionMetavars, TimeStepper, false,
     299             :                                        true>,
     300             :           evolution::dg::Initialization::Domain<EvolutionMetavars>>,
     301             :       Initialization::Actions::ConservativeSystem<system>,
     302             :       Initialization::Actions::InitializeItems<
     303             :           Initialization::TimeStepperHistory<system>>,
     304             : 
     305             :       tmpl::conditional_t<
     306             :           use_dg_subcell,
     307             :           tmpl::list<
     308             :               evolution::dg::subcell::Actions::SetSubcellGrid<volume_dim,
     309             :                                                               system, false>,
     310             :               evolution::dg::subcell::Actions::SetAndCommunicateInitialRdmpData<
     311             :                   volume_dim, Burgers::subcell::SetInitialRdmpData>,
     312             :               evolution::dg::subcell::Actions::ComputeAndSendTciOnInitialGrid<
     313             :                   volume_dim, system, Burgers::subcell::TciOnFdGrid>,
     314             :               evolution::dg::subcell::Actions::SetInitialGridFromTciData<
     315             :                   volume_dim, system>>,
     316             :           tmpl::list<evolution::Initialization::Actions::SetVariables<
     317             :               domain::Tags::Coordinates<1, Frame::ElementLogical>>>>,
     318             : 
     319             :       Initialization::Actions::AddComputeTags<
     320             :           StepChoosers::step_chooser_compute_tags<EvolutionMetavars>>,
     321             :       ::evolution::dg::Initialization::Mortars<volume_dim>,
     322             :       evolution::dg::Initialization::Actions::SetupEqualRateRegions<
     323             :           EvolutionMetavars, volume_dim, equal_rate_regions>,
     324             :       evolution::Actions::InitializeRunEventsAndDenseTriggers,
     325             :       Initialization::Actions::InitializeItems<
     326             :           evolution::dg::Initialization::SpectralFilters<
     327             :               volume_dim, typename system::variables_tag::tags_list>>,
     328             :       Parallel::Actions::TerminatePhase>;
     329             : 
     330           0 :   using dg_element_array = DgElementArray<
     331             :       EvolutionMetavars,
     332             :       tmpl::list<
     333             :           Parallel::PhaseActions<Parallel::Phase::Initialization,
     334             :                                  initialization_actions>,
     335             : 
     336             :           Parallel::PhaseActions<Parallel::Phase::Register,
     337             :                                  tmpl::list<dg_registration_list,
     338             :                                             Parallel::Actions::TerminatePhase>>,
     339             : 
     340             :           Parallel::PhaseActions<Parallel::Phase::Restart,
     341             :                                  tmpl::list<dg_registration_list,
     342             :                                             Parallel::Actions::TerminatePhase>>,
     343             : 
     344             :           Parallel::PhaseActions<
     345             :               Parallel::Phase::WriteCheckpoint,
     346             :               tmpl::list<evolution::Actions::RunEventsAndTriggers<
     347             :                              Triggers::WhenToCheck::AtCheckpoints>,
     348             :                          Parallel::Actions::TerminatePhase>>,
     349             : 
     350             :           Parallel::PhaseActions<
     351             :               Parallel::Phase::InitializeTimeStepperHistory,
     352             :               SelfStart::self_start_procedure<step_actions, system>>,
     353             : 
     354             :           Parallel::PhaseActions<
     355             :               Parallel::Phase::Evolve,
     356             :               tmpl::flatten<
     357             :                   tmpl::list<evolution::Actions::RunEventsAndTriggers<
     358             :                                  Triggers::WhenToCheck::AtSteps>,
     359             :                              evolution::Actions::RunEventsAndTriggers<
     360             :                                  Triggers::WhenToCheck::AtSlabs>,
     361             :                              Actions::ChangeSlabSize,
     362             :                              evolution::dg::Actions::ChangeFixedLtsRatio,
     363             :                              step_actions, Actions::MutateApply<AdvanceTime<>>,
     364             :                              PhaseControl::Actions::ExecutePhaseChange>>>>>;
     365             : 
     366           0 :   struct registration
     367             :       : tt::ConformsTo<Parallel::protocols::RegistrationMetavariables> {
     368           0 :     using element_registrars =
     369             :         tmpl::map<tmpl::pair<dg_element_array, dg_registration_list>>;
     370             :   };
     371             : 
     372           0 :   using component_list =
     373             :       tmpl::list<observers::Observer<EvolutionMetavars>,
     374             :                  observers::ObserverWriter<EvolutionMetavars>,
     375             :                  dg_element_array>;
     376             : 
     377           0 :   static constexpr Options::String help{
     378             :       "Evolve the Burgers equation.\n\n"
     379             :       "The analytic solution is: Linear\n"
     380             :       "The numerical flux is:    LocalLaxFriedrichs\n"};
     381             : 
     382           0 :   static constexpr std::array<Parallel::Phase, 5> default_phase_order{
     383             :       {Parallel::Phase::Initialization,
     384             :        Parallel::Phase::InitializeTimeStepperHistory, Parallel::Phase::Register,
     385             :        Parallel::Phase::Evolve, Parallel::Phase::Exit}};
     386             : 
     387             :   // NOLINTNEXTLINE(google-runtime-references)
     388           0 :   void pup(PUP::er& /*p*/) {}
     389             : };

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