Burgers::Solutions::Bump Class Reference

A solution resembling a bump. More...

#include <Bump.hpp>

Classes
struct	Center
struct	HalfWidth
struct	Height

Public Types
using	options = tmpl::list<HalfWidth, Height, Center>

Public Member Functions
	Bump (const Bump &)=default
Bump &	operator= (const Bump &)=default
	Bump (Bump &&)=default
Bump &	operator= (Bump &&)=default
	Bump (double half_width, double height, double center=0.)
auto	get_clone () const -> std::unique_ptr< evolution::initial_data::InitialData > override
template<typename T>
Scalar< T >	u (const tnsr::I< T, 1 > &x, double t) const
template<typename T>
Scalar< T >	du_dt (const tnsr::I< T, 1 > &x, double t) const
tuples::TaggedTuple< Tags::U >	variables (const tnsr::I< DataVector, 1 > &x, double t, tmpl::list< Tags::U >) const
tuples::TaggedTuple<::Tags::dt< Burgers::Tags::U > >	variables (const tnsr::I< DataVector, 1 > &x, double t, tmpl::list<::Tags::dt< Tags::U > >) const
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 {"A bump solution"}

Detailed Description

A solution resembling a bump.

At \(t=0\), the solution is a parabola:

\begin{equation*} u(x, t) = h \left(1 - \left(\frac{x - c}{w}\right)^2\right), \end{equation*}

where \(h\) is the height, \(c\) is the center, and \(w\) is the distance from the center to the zeros. A shock propagates in from infinity and reaches one of the zeros at \(t = \frac{w}{2 h}\).

Member Function Documentation

get_clone()

auto Burgers::Solutions::Bump::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/AnalyticSolutions/Burgers/Bump.hpp