ForceFree::AnalyticData::FfeBreakdown Class Reference

A test problem designed to show that the system initially satisfying the force-free conditions may violate those in a later time. More...

#include <FfeBreakdown.hpp>

Public Types
using	options = tmpl::list<>

Public Member Functions
	FfeBreakdown (const FfeBreakdown &)=default
FfeBreakdown &	operator= (const FfeBreakdown &)=default
	FfeBreakdown (FfeBreakdown &&)=default
FfeBreakdown &	operator= (FfeBreakdown &&)=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, tmpl::list< Tags... >) const
	Retrieve a collection of EM variables at position x.
template<typename Tag>
tuples::TaggedTuple< Tag >	variables (const tnsr::I< DataVector, 3 > &x, 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 > &coords, tmpl::list< Tags::TildeE >) -> tuples::TaggedTuple< Tags::TildeE >
	Retrieve the EM variables at (x,t).
static auto	variables (const tnsr::I< DataVector, 3 > &coords, tmpl::list< Tags::TildeB >) -> tuples::TaggedTuple< Tags::TildeB >
	Retrieve the EM variables at (x,t).
static auto	variables (const tnsr::I< DataVector, 3 > &coords, tmpl::list< Tags::TildePsi >) -> tuples::TaggedTuple< Tags::TildePsi >
	Retrieve the EM variables at (x,t).
static auto	variables (const tnsr::I< DataVector, 3 > &coords, tmpl::list< Tags::TildePhi >) -> tuples::TaggedTuple< Tags::TildePhi >
	Retrieve the EM variables at (x,t).
static auto	variables (const tnsr::I< DataVector, 3 > &coords, tmpl::list< Tags::TildeQ >) -> tuples::TaggedTuple< Tags::TildeQ >
	Retrieve the EM variables at (x,t).

Static Public Attributes
static constexpr Options::String	help {"A FFE breakdown problem"}

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

Detailed Description

A test problem designed to show that the system initially satisfying the force-free conditions may violate those in a later time.

This test was originally performed by [122]. We use the initial data with a linear transition layer as [74].

\begin{align*} B^x & = 1.0 , \\ B^y & = B^z = \left\{\begin{array}{ll} 1.0 & \text{if } x < -0.1 \\ -10x & \text{if } -0.1 \leq x \leq 0.1 \\ -1.0 & \text{if } x > 0.1 \\ \end{array}\right\}, \\ E^x & = 0.0 , \\ E^y & = 0.5 , \\ E^z & = -0.5 . \end{align*}

As time progresses, \(B^2-E^2\) approaches to zero.

Member Function Documentation

get_clone()

auto ForceFree::AnalyticData::FfeBreakdown::get_clone ( ) const -> std::unique_ptr< evolution::initial_data::InitialData >

overridevirtual

Implements evolution::initial_data::InitialData.

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

• src/PointwiseFunctions/AnalyticData/ForceFree/FfeBreakdown.hpp