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

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