SpECTRE Documentation Coverage Report
Current view: top level - Evolution/Executables/Burgers - EvolveBurgers.hpp Hit Total Coverage
Commit: 1f2210958b4f38fdc0400907ee7c6d5af5111418 Lines: 0 39 0.0 %
Date: 2025-12-05 05:03:31
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/Tags/ObserverCoordinates.hpp"
      28             : #include "Evolution/DgSubcell/Tags/ObserverMesh.hpp"
      29             : #include "Evolution/DgSubcell/Tags/TciStatus.hpp"
      30             : #include "Evolution/DiscontinuousGalerkin/Actions/ApplyBoundaryCorrections.hpp"
      31             : #include "Evolution/DiscontinuousGalerkin/Actions/ComputeTimeDerivative.hpp"
      32             : #include "Evolution/DiscontinuousGalerkin/CleanMortarHistory.hpp"
      33             : #include "Evolution/DiscontinuousGalerkin/DgElementArray.hpp"
      34             : #include "Evolution/DiscontinuousGalerkin/Initialization/Mortars.hpp"
      35             : #include "Evolution/DiscontinuousGalerkin/Initialization/QuadratureTag.hpp"
      36             : #include "Evolution/DiscontinuousGalerkin/Limiters/Minmod.hpp"
      37             : #include "Evolution/DiscontinuousGalerkin/Limiters/Tags.hpp"
      38             : #include "Evolution/Initialization/ConservativeSystem.hpp"
      39             : #include "Evolution/Initialization/DgDomain.hpp"
      40             : #include "Evolution/Initialization/Evolution.hpp"
      41             : #include "Evolution/Initialization/Limiter.hpp"
      42             : #include "Evolution/Initialization/SetVariables.hpp"
      43             : #include "Evolution/Systems/Burgers/BoundaryConditions/Factory.hpp"
      44             : #include "Evolution/Systems/Burgers/BoundaryCorrections/Factory.hpp"
      45             : #include "Evolution/Systems/Burgers/FiniteDifference/Factory.hpp"
      46             : #include "Evolution/Systems/Burgers/FiniteDifference/Tags.hpp"
      47             : #include "Evolution/Systems/Burgers/Subcell/GhostData.hpp"
      48             : #include "Evolution/Systems/Burgers/Subcell/NeighborPackagedData.hpp"
      49             : #include "Evolution/Systems/Burgers/Subcell/SetInitialRdmpData.hpp"
      50             : #include "Evolution/Systems/Burgers/Subcell/TciOnDgGrid.hpp"
      51             : #include "Evolution/Systems/Burgers/Subcell/TciOnFdGrid.hpp"
      52             : #include "Evolution/Systems/Burgers/Subcell/TimeDerivative.hpp"
      53             : #include "Evolution/Systems/Burgers/System.hpp"
      54             : #include "IO/Observer/Actions/RegisterEvents.hpp"
      55             : #include "IO/Observer/Helpers.hpp"
      56             : #include "IO/Observer/ObserverComponent.hpp"
      57             : #include "NumericalAlgorithms/DiscontinuousGalerkin/Formulation.hpp"
      58             : #include "NumericalAlgorithms/DiscontinuousGalerkin/Tags.hpp"
      59             : #include "Options/Protocols/FactoryCreation.hpp"
      60             : #include "Options/String.hpp"
      61             : #include "Parallel/Local.hpp"
      62             : #include "Parallel/Phase.hpp"
      63             : #include "Parallel/PhaseControl/CheckpointAndExitAfterWallclock.hpp"
      64             : #include "Parallel/PhaseControl/ExecutePhaseChange.hpp"
      65             : #include "Parallel/PhaseControl/Factory.hpp"
      66             : #include "Parallel/PhaseControl/VisitAndReturn.hpp"
      67             : #include "Parallel/PhaseDependentActionList.hpp"
      68             : #include "Parallel/Protocols/RegistrationMetavariables.hpp"
      69             : #include "ParallelAlgorithms/Actions/AddComputeTags.hpp"
      70             : #include "ParallelAlgorithms/Actions/InitializeItems.hpp"
      71             : #include "ParallelAlgorithms/Actions/LimiterActions.hpp"
      72             : #include "ParallelAlgorithms/Actions/MutateApply.hpp"
      73             : #include "ParallelAlgorithms/Actions/TerminatePhase.hpp"
      74             : #include "ParallelAlgorithms/Events/Factory.hpp"
      75             : #include "ParallelAlgorithms/Events/Tags.hpp"
      76             : #include "ParallelAlgorithms/EventsAndDenseTriggers/DenseTrigger.hpp"
      77             : #include "ParallelAlgorithms/EventsAndDenseTriggers/DenseTriggers/Factory.hpp"
      78             : #include "ParallelAlgorithms/EventsAndTriggers/Completion.hpp"
      79             : #include "ParallelAlgorithms/EventsAndTriggers/Event.hpp"
      80             : #include "ParallelAlgorithms/EventsAndTriggers/EventsAndTriggers.hpp"
      81             : #include "ParallelAlgorithms/EventsAndTriggers/LogicalTriggers.hpp"
      82             : #include "ParallelAlgorithms/EventsAndTriggers/Trigger.hpp"
      83             : #include "PointwiseFunctions/AnalyticData/AnalyticData.hpp"
      84             : #include "PointwiseFunctions/AnalyticData/Burgers/Factory.hpp"
      85             : #include "PointwiseFunctions/AnalyticData/Burgers/Sinusoid.hpp"
      86             : #include "PointwiseFunctions/AnalyticSolutions/AnalyticSolution.hpp"
      87             : #include "PointwiseFunctions/AnalyticSolutions/Burgers/Bump.hpp"
      88             : #include "PointwiseFunctions/AnalyticSolutions/Burgers/Factory.hpp"
      89             : #include "PointwiseFunctions/AnalyticSolutions/Burgers/Linear.hpp"
      90             : #include "PointwiseFunctions/AnalyticSolutions/Burgers/Step.hpp"
      91             : #include "PointwiseFunctions/AnalyticSolutions/Tags.hpp"
      92             : #include "Time/Actions/SelfStartActions.hpp"
      93             : #include "Time/AdvanceTime.hpp"
      94             : #include "Time/ChangeSlabSize/Action.hpp"
      95             : #include "Time/ChangeTimeStepperOrder.hpp"
      96             : #include "Time/CleanHistory.hpp"
      97             : #include "Time/RecordTimeStepperData.hpp"
      98             : #include "Time/StepChoosers/Factory.hpp"
      99             : #include "Time/StepChoosers/StepChooser.hpp"
     100             : #include "Time/Tags/Time.hpp"
     101             : #include "Time/Tags/TimeStepId.hpp"
     102             : #include "Time/TimeSequence.hpp"
     103             : #include "Time/TimeSteppers/Factory.hpp"
     104             : #include "Time/TimeSteppers/LtsTimeStepper.hpp"
     105             : #include "Time/TimeSteppers/TimeStepper.hpp"
     106             : #include "Time/Triggers/TimeTriggers.hpp"
     107             : #include "Time/UpdateU.hpp"
     108             : #include "Utilities/ProtocolHelpers.hpp"
     109             : #include "Utilities/TMPL.hpp"
     110             : 
     111             : /// \cond
     112             : namespace PUP {
     113             : class er;
     114             : }  // namespace PUP
     115             : namespace Parallel {
     116             : template <typename Metavariables>
     117             : class CProxy_GlobalCache;
     118             : }  // namespace Parallel
     119             : /// \endcond
     120             : 
     121           0 : struct EvolutionMetavars {
     122           0 :   static constexpr size_t volume_dim = 1;
     123           0 :   using system = Burgers::System;
     124           0 :   using temporal_id = Tags::TimeStepId;
     125           0 :   using TimeStepperBase = TimeStepper;
     126             : 
     127           0 :   static constexpr bool local_time_stepping =
     128             :       TimeStepperBase::local_time_stepping;
     129           0 :   static constexpr bool use_dg_element_collection = false;
     130             : 
     131             :   // The use_dg_subcell flag controls whether to use "standard" limiting (false)
     132             :   // or a DG-FD hybrid scheme (true).
     133           0 :   static constexpr bool use_dg_subcell = true;
     134             : 
     135           0 :   using initial_data_list = tmpl::append<Burgers::Solutions::all_solutions,
     136             :                                          Burgers::AnalyticData::all_data>;
     137             : 
     138           0 :   using limiter =
     139             :       Tags::Limiter<Limiters::Minmod<1, system::variables_tag::tags_list>>;
     140             : 
     141           0 :   using analytic_variables_tags = typename system::variables_tag::tags_list;
     142           0 :   using analytic_compute = evolution::Tags::AnalyticSolutionsCompute<
     143             :       volume_dim, analytic_variables_tags, use_dg_subcell, initial_data_list>;
     144           0 :   using error_compute = Tags::ErrorsCompute<analytic_variables_tags>;
     145           0 :   using error_tags = db::wrap_tags_in<Tags::Error, analytic_variables_tags>;
     146           0 :   using observe_fields = tmpl::push_back<
     147             :       tmpl::append<
     148             :           typename system::variables_tag::tags_list, error_tags,
     149             :           tmpl::conditional_t<use_dg_subcell,
     150             :                               tmpl::list<evolution::dg::subcell::Tags::
     151             :                                              TciStatusCompute<volume_dim>>,
     152             :                               tmpl::list<>>>,
     153             :       ::Events::Tags::ObserverDetInvJacobianCompute<Frame::ElementLogical,
     154             :                                                     Frame::Inertial>,
     155             :       tmpl::conditional_t<
     156             :           use_dg_subcell,
     157             :           evolution::dg::subcell::Tags::ObserverCoordinatesCompute<volume_dim,
     158             :                                                                    Frame::Grid>,
     159             :           domain::Tags::Coordinates<volume_dim, Frame::Grid>>,
     160             :       tmpl::conditional_t<
     161             :           use_dg_subcell,
     162             :           evolution::dg::subcell::Tags::ObserverCoordinatesCompute<
     163             :               volume_dim, Frame::Inertial>,
     164             :           domain::Tags::Coordinates<volume_dim, Frame::Inertial>>>;
     165           0 :   using non_tensor_compute_tags = tmpl::list<
     166             :       tmpl::conditional_t<
     167             :           use_dg_subcell,
     168             :           evolution::dg::subcell::Tags::ObserverMeshCompute<volume_dim>,
     169             :           ::Events::Tags::ObserverMeshCompute<volume_dim>>,
     170             :       analytic_compute, error_compute>;
     171             : 
     172           0 :   struct factory_creation
     173             :       : tt::ConformsTo<Options::protocols::FactoryCreation> {
     174           0 :     using factory_classes = tmpl::map<
     175             :         tmpl::pair<Burgers::BoundaryConditions::BoundaryCondition,
     176             :                    Burgers::BoundaryConditions::standard_boundary_conditions>,
     177             :         tmpl::pair<DenseTrigger, DenseTriggers::standard_dense_triggers>,
     178             :         tmpl::pair<DomainCreator<volume_dim>, domain_creators<volume_dim>>,
     179             :         tmpl::pair<Event,
     180             :                    tmpl::flatten<tmpl::list<
     181             :                        Events::Completion,
     182             :                        dg::Events::field_observations<
     183             :                            volume_dim, observe_fields, non_tensor_compute_tags>,
     184             :                        Events::time_events<system>>>>,
     185             :         tmpl::pair<evolution::BoundaryCorrection,
     186             :                    Burgers::BoundaryCorrections::standard_boundary_corrections>,
     187             :         tmpl::pair<evolution::initial_data::InitialData, initial_data_list>,
     188             :         tmpl::pair<PhaseChange, PhaseControl::factory_creatable_classes>,
     189             :         tmpl::pair<StepChooser<StepChooserUse::LtsStep>,
     190             :                    StepChoosers::standard_step_choosers<system>>,
     191             :         tmpl::pair<
     192             :             StepChooser<StepChooserUse::Slab>,
     193             :             StepChoosers::standard_slab_choosers<system, local_time_stepping>>,
     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             :   };
     202             : 
     203           0 :   struct SubcellOptions {
     204           0 :     static constexpr bool subcell_enabled = use_dg_subcell;
     205           0 :     static constexpr bool subcell_enabled_at_external_boundary = true;
     206             : 
     207             :     // We send `ghost_zone_size` cell-centered grid points for variable
     208             :     // reconstruction, of which we need `ghost_zone_size-1` for reconstruction
     209             :     // to the internal side of the element face, and `ghost_zone_size` for
     210             :     // reconstruction to the external side of the element face.
     211             :     template <typename DbTagsList>
     212           0 :     static constexpr size_t ghost_zone_size(
     213             :         const db::DataBox<DbTagsList>& box) {
     214             :       return db::get<Burgers::fd::Tags::Reconstructor>(box).ghost_zone_size();
     215             :     }
     216             : 
     217           0 :     using DgComputeSubcellNeighborPackagedData =
     218             :         Burgers::subcell::NeighborPackagedData;
     219             : 
     220           0 :     using GhostVariables = Burgers::subcell::GhostVariables;
     221             :   };
     222             : 
     223           0 :   using observed_reduction_data_tags =
     224             :       observers::collect_reduction_data_tags<tmpl::flatten<tmpl::list<
     225             :           tmpl::at<typename factory_creation::factory_classes, Event>>>>;
     226             : 
     227           0 :   using dg_step_actions = tmpl::flatten<tmpl::list<
     228             :       evolution::dg::Actions::ComputeTimeDerivative<
     229             :           volume_dim, system, AllStepChoosers, local_time_stepping,
     230             :           use_dg_element_collection>,
     231             :       tmpl::conditional_t<
     232             :           local_time_stepping,
     233             :           tmpl::list<Actions::MutateApply<RecordTimeStepperData<system>>,
     234             :                      evolution::Actions::RunEventsAndDenseTriggers<
     235             :                          tmpl::list<evolution::dg::ApplyBoundaryCorrections<
     236             :                              local_time_stepping, EvolutionMetavars, volume_dim,
     237             :                              true>>>,
     238             :                      Actions::MutateApply<UpdateU<system, local_time_stepping>>,
     239             :                      evolution::dg::Actions::ApplyLtsBoundaryCorrections<
     240             :                          volume_dim, false, use_dg_element_collection>,
     241             :                      Actions::MutateApply<ChangeTimeStepperOrder<system>>>,
     242             :           tmpl::list<
     243             :               evolution::dg::Actions::ApplyBoundaryCorrectionsToTimeDerivative<
     244             :                   volume_dim, false, use_dg_element_collection>,
     245             :               Actions::MutateApply<RecordTimeStepperData<system>>,
     246             :               evolution::Actions::RunEventsAndDenseTriggers<tmpl::list<>>,
     247             :               Actions::MutateApply<UpdateU<system, local_time_stepping>>>>,
     248             :       Actions::MutateApply<CleanHistory<system>>,
     249             :       tmpl::conditional_t<
     250             :           local_time_stepping,
     251             :           Actions::MutateApply<evolution::dg::CleanMortarHistory<system>>,
     252             :           tmpl::list<>>,
     253             :       Limiters::Actions::SendData<EvolutionMetavars>,
     254             :       Limiters::Actions::Limit<EvolutionMetavars>>>;
     255             : 
     256           0 :   using dg_subcell_step_actions = tmpl::flatten<tmpl::list<
     257             :       evolution::dg::subcell::Actions::SelectNumericalMethod,
     258             :       Actions::Label<evolution::dg::subcell::Actions::Labels::BeginDg>,
     259             :       evolution::dg::Actions::ComputeTimeDerivative<
     260             :           volume_dim, system, AllStepChoosers, local_time_stepping,
     261             :           use_dg_element_collection>,
     262             :       evolution::dg::Actions::ApplyBoundaryCorrectionsToTimeDerivative<
     263             :           volume_dim, false, use_dg_element_collection>,
     264             :       Actions::MutateApply<RecordTimeStepperData<system>>,
     265             :       evolution::Actions::RunEventsAndDenseTriggers<tmpl::list<>>,
     266             :       Actions::MutateApply<UpdateU<system, local_time_stepping>>,
     267             :       evolution::dg::subcell::Actions::TciAndRollback<
     268             :           Burgers::subcell::TciOnDgGrid>,
     269             :       Actions::MutateApply<CleanHistory<system>>,
     270             :       tmpl::conditional_t<
     271             :           local_time_stepping,
     272             :           Actions::MutateApply<evolution::dg::CleanMortarHistory<system>>,
     273             :           tmpl::list<>>,
     274             :       Actions::Goto<evolution::dg::subcell::Actions::Labels::EndOfSolvers>,
     275             :       Actions::Label<evolution::dg::subcell::Actions::Labels::BeginSubcell>,
     276             :       evolution::dg::subcell::Actions::SendDataForReconstruction<
     277             :           volume_dim, Burgers::subcell::GhostVariables, local_time_stepping,
     278             :           use_dg_element_collection>,
     279             :       evolution::dg::subcell::Actions::ReceiveDataForReconstruction<volume_dim>,
     280             :       Actions::Label<
     281             :           evolution::dg::subcell::Actions::Labels::BeginSubcellAfterDgRollback>,
     282             :       evolution::dg::subcell::fd::Actions::TakeTimeStep<
     283             :           Burgers::subcell::TimeDerivative>,
     284             :       Actions::MutateApply<RecordTimeStepperData<system>>,
     285             :       evolution::Actions::RunEventsAndDenseTriggers<tmpl::list<>>,
     286             :       Actions::MutateApply<UpdateU<system, local_time_stepping>>,
     287             :       Actions::MutateApply<CleanHistory<system>>,
     288             :       tmpl::conditional_t<
     289             :           local_time_stepping,
     290             :           Actions::MutateApply<evolution::dg::CleanMortarHistory<system>>,
     291             :           tmpl::list<>>,
     292             :       evolution::dg::subcell::Actions::TciAndSwitchToDg<
     293             :           Burgers::subcell::TciOnFdGrid>,
     294             :       Actions::Label<evolution::dg::subcell::Actions::Labels::EndOfSolvers>>>;
     295             : 
     296           0 :   using step_actions =
     297             :       tmpl::conditional_t<use_dg_subcell, dg_subcell_step_actions,
     298             :                           dg_step_actions>;
     299             : 
     300           0 :   using const_global_cache_tags = tmpl::list<
     301             :       evolution::initial_data::Tags::InitialData,
     302             :       tmpl::conditional_t<use_dg_subcell,
     303             :                           tmpl::list<Burgers::fd::Tags::Reconstructor>,
     304             :                           tmpl::list<>>>;
     305             : 
     306           0 :   using dg_registration_list =
     307             :       tmpl::list<observers::Actions::RegisterEventsWithObservers>;
     308             : 
     309           0 :   using initialization_actions = tmpl::list<
     310             :       Initialization::Actions::InitializeItems<
     311             :           Initialization::TimeStepping<EvolutionMetavars, TimeStepperBase>,
     312             :           evolution::dg::Initialization::Domain<EvolutionMetavars>,
     313             :           Initialization::TimeStepperHistory<EvolutionMetavars>>,
     314             :       Initialization::Actions::ConservativeSystem<system>,
     315             : 
     316             :       tmpl::conditional_t<
     317             :           use_dg_subcell,
     318             :           tmpl::list<
     319             :               evolution::dg::subcell::Actions::SetSubcellGrid<volume_dim,
     320             :                                                               system, false>,
     321             :               evolution::dg::subcell::Actions::SetAndCommunicateInitialRdmpData<
     322             :                   volume_dim, Burgers::subcell::SetInitialRdmpData>,
     323             :               evolution::dg::subcell::Actions::ComputeAndSendTciOnInitialGrid<
     324             :                   volume_dim, system, Burgers::subcell::TciOnFdGrid>,
     325             :               evolution::dg::subcell::Actions::SetInitialGridFromTciData<
     326             :                   volume_dim, system>>,
     327             :           tmpl::list<evolution::Initialization::Actions::SetVariables<
     328             :               domain::Tags::Coordinates<1, Frame::ElementLogical>>>>,
     329             : 
     330             :       Initialization::Actions::AddComputeTags<
     331             :           StepChoosers::step_chooser_compute_tags<EvolutionMetavars,
     332             :                                                   local_time_stepping>>,
     333             :       ::evolution::dg::Initialization::Mortars<volume_dim, system>,
     334             :       Initialization::Actions::Minmod<1>,
     335             :       evolution::Actions::InitializeRunEventsAndDenseTriggers,
     336             :       Parallel::Actions::TerminatePhase>;
     337             : 
     338           0 :   using dg_element_array = DgElementArray<
     339             :       EvolutionMetavars,
     340             :       tmpl::list<
     341             :           Parallel::PhaseActions<Parallel::Phase::Initialization,
     342             :                                  initialization_actions>,
     343             : 
     344             :           Parallel::PhaseActions<Parallel::Phase::Register,
     345             :                                  tmpl::list<dg_registration_list,
     346             :                                             Parallel::Actions::TerminatePhase>>,
     347             : 
     348             :           Parallel::PhaseActions<Parallel::Phase::Restart,
     349             :                                  tmpl::list<dg_registration_list,
     350             :                                             Parallel::Actions::TerminatePhase>>,
     351             : 
     352             :           Parallel::PhaseActions<
     353             :               Parallel::Phase::WriteCheckpoint,
     354             :               tmpl::list<evolution::Actions::RunEventsAndTriggers<
     355             :                              Triggers::WhenToCheck::AtCheckpoints>,
     356             :                          Parallel::Actions::TerminatePhase>>,
     357             : 
     358             :           Parallel::PhaseActions<
     359             :               Parallel::Phase::InitializeTimeStepperHistory,
     360             :               SelfStart::self_start_procedure<step_actions, system>>,
     361             : 
     362             :           Parallel::PhaseActions<
     363             :               Parallel::Phase::Evolve,
     364             :               tmpl::flatten<tmpl::list<
     365             :                   std::conditional_t<local_time_stepping,
     366             :                                      evolution::Actions::RunEventsAndTriggers<
     367             :                                          Triggers::WhenToCheck::AtSteps>,
     368             :                                      tmpl::list<>>,
     369             :                   evolution::Actions::RunEventsAndTriggers<
     370             :                       Triggers::WhenToCheck::AtSlabs>,
     371             :                   Actions::ChangeSlabSize, step_actions,
     372             :                   Actions::MutateApply<AdvanceTime>,
     373             :                   PhaseControl::Actions::ExecutePhaseChange>>>>>;
     374             : 
     375           0 :   struct registration
     376             :       : tt::ConformsTo<Parallel::protocols::RegistrationMetavariables> {
     377           0 :     using element_registrars =
     378             :         tmpl::map<tmpl::pair<dg_element_array, dg_registration_list>>;
     379             :   };
     380             : 
     381           0 :   using component_list =
     382             :       tmpl::list<observers::Observer<EvolutionMetavars>,
     383             :                  observers::ObserverWriter<EvolutionMetavars>,
     384             :                  dg_element_array>;
     385             : 
     386           0 :   static constexpr Options::String help{
     387             :       "Evolve the Burgers equation.\n\n"
     388             :       "The analytic solution is: Linear\n"
     389             :       "The numerical flux is:    LocalLaxFriedrichs\n"};
     390             : 
     391           0 :   static constexpr std::array<Parallel::Phase, 5> default_phase_order{
     392             :       {Parallel::Phase::Initialization,
     393             :        Parallel::Phase::InitializeTimeStepperHistory, Parallel::Phase::Register,
     394             :        Parallel::Phase::Evolve, Parallel::Phase::Exit}};
     395             : 
     396             :   // NOLINTNEXTLINE(google-runtime-references)
     397           0 :   void pup(PUP::er& /*p*/) {}
     398             : };

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