ForceFree::Solutions::FastWave Class Reference

An electromagnetic wave propagating into \(+x\) direction in flat spacetime. More...

#include <FastWave.hpp>

Public Types
using	options = tmpl::list<>

Public Member Functions
	FastWave (const FastWave &)=default
FastWave &	operator= (const FastWave &)=default
	FastWave (FastWave &&)=default
FastWave &	operator= (FastWave &&)=default
auto	get_clone () const -> std::unique_ptr< evolution::initial_data::InitialData > override
void	pup (PUP::er &p) override
template<typename... Tags>
tuples::TaggedTuple< Tags... >	variables (const tnsr::I< DataVector, 3 > &x, const double t, tmpl::list< Tags... >) const
	Retrieve a collection of EM variables at (x, t)
template<typename Tag>
tuples::TaggedTuple< Tag >	variables (const tnsr::I< DataVector, 3 > &x, double t, tmpl::list< Tag >) const
	Retrieve the metric variables.
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 Member Functions
static auto	variables (const tnsr::I< DataVector, 3 > &x, double t, tmpl::list< Tags::TildeE >) -> tuples::TaggedTuple< Tags::TildeE >
	Retrieve the EM variables at (x,t).
static auto	variables (const tnsr::I< DataVector, 3 > &x, double t, tmpl::list< Tags::TildeB >) -> tuples::TaggedTuple< Tags::TildeB >
	Retrieve the EM variables at (x,t).
static auto	variables (const tnsr::I< DataVector, 3 > &x, double t, tmpl::list< Tags::TildePsi >) -> tuples::TaggedTuple< Tags::TildePsi >
	Retrieve the EM variables at (x,t).
static auto	variables (const tnsr::I< DataVector, 3 > &x, double t, tmpl::list< Tags::TildePhi >) -> tuples::TaggedTuple< Tags::TildePhi >
	Retrieve the EM variables at (x,t).
static auto	variables (const tnsr::I< DataVector, 3 > &x, double t, tmpl::list< Tags::TildeQ >) -> tuples::TaggedTuple< Tags::TildeQ >
	Retrieve the EM variables at (x,t).

Static Public Attributes
static constexpr Options::String	help

Friends
bool	operator== (const FastWave &lhs, const FastWave &rhs)
bool	operator!= (const FastWave &lhs, const FastWave &rhs)

Detailed Description

An electromagnetic wave propagating into \(+x\) direction in flat spacetime.

The initial data is given by [122]

\begin{align*} B^x & = 1.0 , \\ B^y & = \left\{\begin{array}{ll} 1.0 & \text{if } x < -0.1 \\ -1.5x + 0.85 & \text{if } -0.1 \leq x \leq 0.1 \\ 0.7 & \text{if } x > 0.1 \\ \end{array}\right\}, \\ B^z & = 0 , \\ E^x & = E^y = 0 , \\ E^z & = -B^y . \end{align*}

The electric and magnetic fields are advected to \(+x\) direction with the speed of light ( \(\lambda=+1\)), and the solution at \((\vec{x},t)\) is

\begin{align*} E^i(x,y,z,t) & = E^i(x-t,y,z,0) , \\ B^i(x,y,z,t) & = B^i(x-t,y,z,0) . \end{align*}

Electric charge density \(q\) is zero everywhere.

Member Function Documentation

get_clone()

auto ForceFree::Solutions::FastWave::get_clone ( ) const -> std::unique_ptr< evolution::initial_data::InitialData >

overridevirtual

Implements evolution::initial_data::InitialData.

Member Data Documentation

help

Options::String ForceFree::Solutions::FastWave::help

staticconstexpr

Initial value:

{
      "A fast mode wave propagating +x direction in flat spacetime"}

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

• src/PointwiseFunctions/AnalyticSolutions/ForceFree/FastWave.hpp