ScalarWave::Solutions Namespace Reference

Holds analytic solutions to the first-order reduction of the Euclidean wave equation. More...

Classes
class	PlaneWave
	A plane wave solution to the Euclidean wave equation. More...
class	RegularSphericalWave
	A 3D spherical wave solution to the Euclidean wave equation that is regular at the origin. More...
class	SemidiscretizedDg
	An exact solution to the semidiscretized DG ScalarWave system with an upwind flux. More...
class	StandingWave
	A standing wave solution to the Euclidean wave equation. More...

Typedefs
template<size_t Dim>
using	all_solutions
	List of all analytic solutions.

Detailed Description

Holds analytic solutions to the first-order reduction of the Euclidean wave equation.

The first-order system evolves \(\Psi\), \(\Pi\), and \(\Phi_j\):

\begin{align*}\partial_t \Psi &= -\Pi, \\ \partial_t \Pi &= -\delta^{ij}\partial_i\Phi_j, \\ \partial_t \Phi_j &= -\partial_j\Pi. \end{align*}

Typedef Documentation

all_solutions

template<size_t Dim>

using ScalarWave::Solutions::all_solutions

Initial value:

 tmpl::append<
    tmpl::list<PlaneWave<Dim>, StandingWave<Dim>>,
    tmpl::conditional_t<Dim == 1, tmpl::list<SemidiscretizedDg>, tmpl::list<>>,
    tmpl::conditional_t<Dim == 3, tmpl::list<RegularSphericalWave>,
                        tmpl::list<>>>

List of all analytic solutions.