A product of sinusoids \(u(\boldsymbol{x}) = \prod_i \sin(k_i x_i)\). More...

#include <ProductOfSinusoids.hpp>

Classes
struct	ComplexPhase

struct	WaveNumbers

Public Types
using	options = tmpl::flatten< tmpl::list< WaveNumbers, tmpl::conditional_t< std::is_same_v< DataType, ComplexDataVector >, ComplexPhase, tmpl::list<> > > >

Public Member Functions
	ProductOfSinusoids (const ProductOfSinusoids &)=default

ProductOfSinusoids &	operator= (const ProductOfSinusoids &)=default

	ProductOfSinusoids (ProductOfSinusoids &&)=default

ProductOfSinusoids &	operator= (ProductOfSinusoids &&)=default

std::unique_ptr< elliptic::analytic_data::AnalyticSolution >	get_clone () const override

	ProductOfSinusoids (const std::array< double, Dim > &wave_numbers, const double complex_phase=0.)

template<typename... RequestedTags>
tuples::TaggedTuple< RequestedTags... >	variables (const tnsr::I< DataVector, Dim > &x, tmpl::list< RequestedTags... >) const

void	pup (PUP::er &p) override

const std::array< double, Dim > &	wave_numbers () const

double	complex_phase () const

virtual std::unique_ptr< AnalyticSolution >	get_clone () const =0

Static Public Attributes
static constexpr Options::String	help

Detailed Description

template<size_t Dim, typename DataType = DataVector>
class Poisson::Solutions::ProductOfSinusoids< Dim, DataType >

A product of sinusoids \(u(\boldsymbol{x}) = \prod_i \sin(k_i x_i)\).

Details

Solves the Poisson equation \(-\Delta u(x)=f(x)\) for a source \(f(x)=\boldsymbol{k}^2\prod_i \sin(k_i x_i)\).

If DataType is ComplexDataVector, the solution is multiplied by exp(i * complex_phase) to rotate it in the complex plane. This allows to use this solution for the complex Poisson equation.

Member Function Documentation

◆ get_clone()

template<size_t Dim, typename DataType = DataVector>

std::unique_ptr< elliptic::analytic_data::AnalyticSolution > Poisson::Solutions::ProductOfSinusoids< Dim, DataType >::get_clone ( ) const

inlineoverridevirtual

Implements elliptic::analytic_data::AnalyticSolution.

Member Data Documentation

◆ help

template<size_t Dim, typename DataType = DataVector>

constexpr Options::String Poisson::Solutions::ProductOfSinusoids< Dim, DataType >::help

staticconstexpr

Initial value:

{
      "A product of sinusoids that are taken of a wave number times the "
      "coordinate in each dimension."}

The documentation for this class was generated from the following file:

src/PointwiseFunctions/AnalyticSolutions/Poisson/ProductOfSinusoids.hpp

Classes

Public Types

Public Member Functions