SpECTRE
v2024.04.12
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A Lorentzian solution to the Poisson equation. More...
#include <Lorentzian.hpp>
Classes | |
struct | PlusConstant |
Public Types | |
using | options = tmpl::list< PlusConstant > |
Public Member Functions | |
Lorentzian (const Lorentzian &)=default | |
Lorentzian & | operator= (const Lorentzian &)=default |
Lorentzian (Lorentzian &&)=default | |
Lorentzian & | operator= (Lorentzian &&)=default |
Lorentzian (const double constant) | |
double | constant () const |
std::unique_ptr< elliptic::analytic_data::AnalyticSolution > | get_clone () const override |
template<typename DataType , typename... RequestedTags> | |
tuples::TaggedTuple< RequestedTags... > | variables (const tnsr::I< DataType, Dim > &x, tmpl::list< RequestedTags... >) const |
void | pup (PUP::er &p) override |
virtual std::unique_ptr< AnalyticSolution > | get_clone () const =0 |
Static Public Attributes | |
static constexpr Options::String | help |
A Lorentzian solution to the Poisson equation.
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 \(f(\boldsymbol{x})=3\left(1+r^2\right)^{-\frac{5}{2}}\).
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inlineoverridevirtual |
Implements elliptic::analytic_data::AnalyticSolution.
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staticconstexpr |