SpECTRE Documentation Coverage Report
Current view: top level - Evolution/Executables/Burgers - EvolveBurgers.hpp Coverage Total Hit
Commit: 0d1d717af84a81fb1284a20c4013708fe85cc2f0 Lines: 0.0 % 37 0
Test Date: 2026-10-22 17:29:42
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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 "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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