Poisson::Solutions::Lorentzian< Dim, Registrars > Class Template Reference

A Lorentzian solution to the Poisson equation. More...

#include <Lorentzian.hpp>

Public Types
using	options = tmpl::list<>

Public Member Functions
	Lorentzian (const Lorentzian &) noexcept=default
Lorentzian &	operator= (const Lorentzian &) noexcept=default
	Lorentzian (Lorentzian &&) noexcept=default
Lorentzian &	operator= (Lorentzian &&) noexcept=default
template<typename DataType , typename... RequestedTags>
tuples::TaggedTuple< RequestedTags... >	variables (const tnsr::I< DataType, Dim > &x, tmpl::list< RequestedTags... >) const noexcept
void	pup (PUP::er &) noexcept override

Static Public Attributes
static constexpr Options::String	help

Detailed Description

template<size_t Dim, typename Registrars = tmpl::list<Solutions::Registrars::Lorentzian<Dim>>>
class Poisson::Solutions::Lorentzian< Dim, Registrars >

A Lorentzian solution to the Poisson equation.

Details

This implements the Lorentzian solution \(u(\boldsymbol{x})=\left(1+r^2\right)^{-\frac{1}{2}}\) to the three-dimensional Poisson equation \(-\Delta u(\boldsymbol{x})=f(\boldsymbol{x})\), where \(r^2=x^2+y^2+z^2\). The corresponding source is \(f(\boldsymbol{x})=3\left(1+r^2\right)^{-\frac{5}{2}}\).

Note

Corresponding 1D and 2D solutions are not implemented yet.

Member Data Documentation

help

template<size_t Dim, typename Registrars = tmpl::list<Solutions::Registrars::Lorentzian<Dim>>>

constexpr Options::String Poisson::Solutions::Lorentzian< Dim, Registrars >::help

staticconstexpr

Initial value:

{
      "A Lorentzian solution to the Poisson equation."}