ScalarWave::Solutions::SemidiscretizedDg Class Reference

An exact solution to the semidiscretized DG ScalarWave system with an upwind flux. More...

#include <SemidiscretizedDg.hpp>

Classes
struct	Amplitudes
struct	Harmonic

Public Types
using	tags = tmpl::list<Tags::Pi, Tags::Phi<1>, Tags::Psi>
using	options = tmpl::list<Harmonic, Amplitudes>

Public Member Functions
	SemidiscretizedDg (int harmonic, const std::array< double, 4 > &amplitudes)
auto	get_clone () const -> std::unique_ptr< evolution::initial_data::InitialData > override
template<typename... Tags>
tuples::TaggedTuple< Tags... >	variables (const tnsr::I< DataVector, 1 > &x, double t, tmpl::list< Tags... >) const
	Retrieve the evolution variables at time t and spatial coordinates x
void	pup (PUP::er &p) override
Public Member Functions inherited from evolution::initial_data::InitialData
virtual const InitialData &	unwrap () const
	Unwrap wrapper types (e.g. WithNoise, which wraps analytic initial data and adds random noise) to reach the underlying analytic solution or data.

Static Public Attributes
static constexpr Options::String	help

Detailed Description

An exact solution to the semidiscretized DG ScalarWave system with an upwind flux.

This solution takes into account the spatial discretization error, and so should show convergence in time integration accuracy to roundoff at any resolution.

Warning

This is not really a pointwise function, as the solution depends on the spatial discretization. It will only work on a periodic domain of length \(2 \pi\) (or an integer multiple) with equally sized linear elements.

Member Function Documentation

get_clone()

auto ScalarWave::Solutions::SemidiscretizedDg::get_clone ( ) const -> std::unique_ptr< evolution::initial_data::InitialData >

overridevirtual

Implements evolution::initial_data::InitialData.

Member Data Documentation

help

Options::String ScalarWave::Solutions::SemidiscretizedDg::help

staticconstexpr

Initial value:

=
      "A solution of the semidiscretized DG system on linear elements\n"
      "with spatial period 2 pi."

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The documentation for this class was generated from the following file:

• src/PointwiseFunctions/AnalyticSolutions/WaveEquation/SemidiscretizedDg.hpp