tatooine::analytical::numerical Namespace Reference

Classes
struct	abcflow
	The Arnold–Beltrami–Childress (ABC) flow is a three-dimensional incompressible velocity field which is an exact solution of Euler's equation. More...
struct	autonomous_particles_test
struct	autonomous_particles_test_flowmap
struct	autonomous_particles_test_flowmap_gradient
struct	center
struct	center_flowmap
struct	cosinussinus
struct	counterexample_sadlo
struct	doublegyre
	Double Gyre dataset. More...
struct	doublegyre3d
struct	duffing_oscillator
struct	forced_duffing_oscillator
struct	frankes_test
	Franke's Test Function. See Here More...
struct	harmonic_oscilator
	Harmonic Oscilator. More...
struct	modified_doublegyre
struct	monkey_saddle
struct	rayleigh_benard_convection
struct	rotated_saddle
struct	saddle
struct	saddle< Real, 2 >
struct	saddle< Real, 3 >
struct	saddle_flowmap
struct	sinuscosinus
struct	tornado

Typedefs
template<std::size_t NumDimensions>
using	Saddle = saddle< real_number, NumDimensions >
using	saddle2 = Saddle< 2 >
using	saddle3 = Saddle< 3 >

Functions
	abcflow () -> abcflow< double >
	autonomous_particles_test () -> autonomous_particles_test< double >
template<template< typename, size_t > typename ODESolver = ode::boost::rungekuttafehlberg78, template< typename > typename InterpolationKernel = interpolation::cubic, std::floating_point Real>
constexpr auto	flowmap (vectorfield< autonomous_particles_test< Real >, Real, 2 > const &v, tag::numerical_t)
template<std::floating_point Real>
constexpr auto	flowmap (vectorfield< autonomous_particles_test< Real >, Real, 2 > const &, tag::analytical_t)
template<std::floating_point Real>
constexpr auto	flowmap (vectorfield< autonomous_particles_test< Real >, Real, 2 > const &v)
template<std::floating_point Real>
auto	diff (autonomous_particles_test_flowmap< Real > const &, tag::analytical_t)
template<std::floating_point VReal, std::floating_point EpsReal = VReal>
auto	diff (autonomous_particles_test_flowmap< VReal > const &flowmap, tag::central_t, EpsReal epsilon=1e-7)
template<std::floating_point VReal, std::floating_point EpsReal>
constexpr auto	diff (autonomous_particles_test_flowmap< VReal > const &flowmap, tag::central_t, vec< EpsReal, 2 > epsilon)
template<std::floating_point Real>
auto	diff (autonomous_particles_test_flowmap< Real > const &flowmap)
	center () -> center< double >
template<template< typename, size_t > typename ODESolver = ode::boost::rungekuttafehlberg78, template< typename > typename InterpolationKernel = interpolation::cubic, floating_point Real>
constexpr auto	flowmap (vectorfield< analytical::numerical::center< Real >, Real, 2 > const &v, tag::numerical_t)
template<floating_point Real>
constexpr auto	flowmap (vectorfield< analytical::numerical::center< Real >, Real, 2 > const &, tag::analytical_t)
template<floating_point Real>
constexpr auto	flowmap (vectorfield< analytical::numerical::center< Real >, Real, 2 > const &v)
	counterexample_sadlo () -> counterexample_sadlo< double >
	doublegyre () -> doublegyre< real_number >
	duffing_oscillator () -> duffing_oscillator< double >
	forced_duffing_oscillator () -> forced_duffing_oscillator< double >
	frankes_test () -> frankes_test< real_number >
	modified_doublegyre () -> modified_doublegyre< real_number >
	monkey_saddle () -> monkey_saddle< real_number >
	rotated_saddle () -> rotated_saddle< real_number >
template<floating_point Real>
auto constexpr	flowmap (saddle< Real, 2 > const &, tag::analytical_t)
template<floating_point Real>
auto constexpr	flowmap (saddle< Real, 2 > const &v)
	sinuscosinus () -> sinuscosinus< double >
	cosinussinus () -> cosinussinus< double >
	tornado () -> tornado< double >

Typedef Documentation

Saddle

template<std::size_t NumDimensions>

using tatooine::analytical::numerical::Saddle = typedef saddle<real_number, NumDimensions>

saddle2

using tatooine::analytical::numerical::saddle2 = typedef Saddle<2>

saddle3

using tatooine::analytical::numerical::saddle3 = typedef Saddle<3>

Function Documentation

abcflow()

tatooine::analytical::numerical::abcflow

(

)

-> abcflow< double >

autonomous_particles_test()

tatooine::analytical::numerical::autonomous_particles_test

(

)

-> autonomous_particles_test< double >

center()

tatooine::analytical::numerical::center

(

)

-> center< double >

cosinussinus()

tatooine::analytical::numerical::cosinussinus

(

)

-> cosinussinus< double >

counterexample_sadlo()

tatooine::analytical::numerical::counterexample_sadlo

(

)

-> counterexample_sadlo< double >

diff() [1/4]

template<std::floating_point Real>

auto tatooine::analytical::numerical::diff	(	autonomous_particles_test_flowmap< Real > const &	,
		tag::analytical_t
	)

diff() [2/4]

template<std::floating_point Real>

auto tatooine::analytical::numerical::diff

(

autonomous_particles_test_flowmap< Real > const &

flowmap

)

diff() [3/4]

template<std::floating_point VReal, std::floating_point EpsReal = VReal>

auto tatooine::analytical::numerical::diff	(	autonomous_particles_test_flowmap< VReal > const &	flowmap,
		tag::central_t	,
		EpsReal	epsilon = 1e-7
	)

diff() [4/4]

template<std::floating_point VReal, std::floating_point EpsReal>

constexpr auto tatooine::analytical::numerical::diff ( autonomous_particles_test_flowmap< VReal > const &  flowmap, tag::central_t  , vec< EpsReal, 2 >  epsilon  )

constexpr

doublegyre()

tatooine::analytical::numerical::doublegyre

(

)

-> doublegyre< real_number >

duffing_oscillator()

tatooine::analytical::numerical::duffing_oscillator

(

)

-> duffing_oscillator< double >

flowmap() [1/8]

template<floating_point Real>

auto constexpr tatooine::analytical::numerical::flowmap ( saddle< Real, 2 > const &  , tag::analytical_t    )

constexpr

flowmap() [2/8]

template<floating_point Real>

auto constexpr tatooine::analytical::numerical::flowmap ( saddle< Real, 2 > const &  v )

constexpr

flowmap() [3/8]

template<floating_point Real>

constexpr auto tatooine::analytical::numerical::flowmap ( vectorfield< analytical::numerical::center< Real >, Real, 2 > const &  , tag::analytical_t    )

constexpr

flowmap() [4/8]

template<floating_point Real>

constexpr auto tatooine::analytical::numerical::flowmap ( vectorfield< analytical::numerical::center< Real >, Real, 2 > const &  v )

constexpr

flowmap() [5/8]

template<template< typename, size_t > typename ODESolver = ode::boost::rungekuttafehlberg78, template< typename > typename InterpolationKernel = interpolation::cubic, floating_point Real>

constexpr auto tatooine::analytical::numerical::flowmap ( vectorfield< analytical::numerical::center< Real >, Real, 2 > const &  v, tag::numerical_t    )

constexpr

flowmap() [6/8]

template<std::floating_point Real>

constexpr auto tatooine::analytical::numerical::flowmap ( vectorfield< autonomous_particles_test< Real >, Real, 2 > const &  , tag::analytical_t    )

constexpr

flowmap() [7/8]

template<std::floating_point Real>

constexpr auto tatooine::analytical::numerical::flowmap ( vectorfield< autonomous_particles_test< Real >, Real, 2 > const &  v )

constexpr

flowmap() [8/8]

template<template< typename, size_t > typename ODESolver = ode::boost::rungekuttafehlberg78, template< typename > typename InterpolationKernel = interpolation::cubic, std::floating_point Real>

constexpr auto tatooine::analytical::numerical::flowmap ( vectorfield< autonomous_particles_test< Real >, Real, 2 > const &  v, tag::numerical_t    )

constexpr

forced_duffing_oscillator()

tatooine::analytical::numerical::forced_duffing_oscillator

(

)

-> forced_duffing_oscillator< double >

frankes_test()

tatooine::analytical::numerical::frankes_test

(

)

-> frankes_test< real_number >

modified_doublegyre()

tatooine::analytical::numerical::modified_doublegyre

(

)

-> modified_doublegyre< real_number >

monkey_saddle()

tatooine::analytical::numerical::monkey_saddle

(

)

-> monkey_saddle< real_number >

rotated_saddle()

tatooine::analytical::numerical::rotated_saddle

(

)

-> rotated_saddle< real_number >

sinuscosinus()

tatooine::analytical::numerical::sinuscosinus

(

)

-> sinuscosinus< double >

tornado()

tatooine::analytical::numerical::tornado

(

)

-> tornado< double >