tatooine::symbolic::abcflow< real_type > Struct Template Reference

The Arnold–Beltrami–Childress (ABC) flow is a three-dimensional incompressible velocity field which is an exact solution of Euler's equation. More...

#include <abcflow.h>

Inheritance diagram for tatooine::symbolic::abcflow< real_type >:

Collaboration diagram for tatooine::symbolic::abcflow< real_type >:

Public Types
using	this_type = abcflow< real_type >
using	parent_type = field< real_type, 3, 3 >
Public Types inherited from tatooine::symbolic::field< real_type, N, TensorDims >
using	this_type = field< real_type, N, TensorDims... >
using	parent_t = tatooine::field< this_type, real_type, N, TensorDims... >
using	symtensor_type = tensor< GiNaC::ex, TensorDims... >
using	pos_type = vec< real_type, NumDimensions >
using	tensor_type = Tensor
Public Types inherited from tatooine::field< field< real_type, N, TensorDims... >, real_type, N, TensorDims... >
using	this_type = field< field< real_type, N, TensorDims... >, real_type, NumDimensions, TensorDims... >
using	parent_type = polymorphic::field< real_type, NumDimensions, TensorDims... >
using	pos_type = vec< real_type, NumDimensions >
using	real_type = real_type
using	tensor_type = TensorDims...
Public Types inherited from tatooine::polymorphic::field< Real, NumDimensions, Tensor >
using	real_type = Real
using	tensor_type = Tensor
using	this_type = field< real_type, NumDimensions, Tensor >
using	pos_type = vec< real_type, NumDimensions >

Public Member Functions
constexpr	abcflow (const real_type a=1, const real_type b=1, const real_type c=1)
constexpr	abcflow (const abcflow &other)=default
constexpr	abcflow (abcflow &&other)=default
constexpr abcflow &	operator= (const abcflow &other)=default
constexpr abcflow &	operator= (abcflow &&other)=default
	~abcflow () override=default
Public Member Functions inherited from tatooine::symbolic::field< real_type, N, TensorDims >
constexpr	field ()=default
constexpr	field (const symtensor_type &ex)
constexpr	field (symtensor_type &&ex)
auto	expr () const -> const auto &
template<size_t... Is>
auto	evaluate (const pos_type &_x, double _t, std::index_sequence< Is... >) const -> tensor_type
auto	evaluate (const pos_type &_x, double _t) const -> tensor_type
constexpr auto	in_domain (const pos_type &, double) const
Public Member Functions inherited from tatooine::field< field< real_type, N, TensorDims... >, real_type, N, TensorDims... >
	field ()=default
	field (field const &)=default
	field (field &&) noexcept=default
auto	operator= (field const &) -> field &=default
auto	operator= (field &&) noexcept -> field &=default
virtual	~field ()=default
auto	as_derived () -> auto &
auto	as_derived () const -> auto const &
auto	evaluate (pos_type const &x, real_type const t) const -> tensor_type override
Public Member Functions inherited from tatooine::polymorphic::field< Real, NumDimensions, Tensor >
constexpr	field ()=default
constexpr	field (field const &)=default
constexpr	field (field &&) noexcept=default
constexpr auto	operator= (field const &) -> field &=default
constexpr auto	operator= (field &&) noexcept -> field &=default
virtual	~field ()=default
virtual constexpr auto	evaluate (pos_type const &, real_type const) const -> tensor_type=0
constexpr auto	evaluate (fixed_size_vec< NumDimensions > auto const &x) const -> tensor_type
constexpr auto	operator() (fixed_size_vec< NumDimensions > auto const &x, real_type const t) const -> tensor_type
constexpr auto	operator() (fixed_size_vec< NumDimensions > auto const &x) const -> tensor_type
constexpr auto	operator() (arithmetic auto const ... xs) const -> tensor_type

Additional Inherited Members
Static Public Member Functions inherited from tatooine::symbolic::field< real_type, N, TensorDims >
static auto	x (size_t i) -> auto &
static auto	t () -> auto &
Static Public Member Functions inherited from tatooine::polymorphic::field< Real, NumDimensions, Tensor >
static auto constexpr	ood_tensor ()
static auto constexpr	ood_position ()
static constexpr auto	is_field ()
static constexpr auto	is_scalarfield ()
static constexpr auto	is_vectorfield ()
static constexpr auto	is_matrixfield ()
static constexpr auto	num_dimensions () -> std::size_t
static constexpr auto	num_tensor_components ()
static constexpr auto	tensor_rank ()
static constexpr auto	tensor_dimension (std::size_t i)
Protected Member Functions inherited from tatooine::symbolic::field< real_type, N, TensorDims >
void	set_expr (const symtensor_type &ex)
void	set_expr (symtensor_type &&ex)

Detailed Description

template<typename real_type>
struct tatooine::symbolic::abcflow< real_type >

The Arnold–Beltrami–Childress (ABC) flow is a three-dimensional incompressible velocity field which is an exact solution of Euler's equation.

Member Typedef Documentation

parent_type

template<typename real_type >

using tatooine::symbolic::abcflow< real_type >::parent_type = field<real_type, 3, 3>

this_type

template<typename real_type >

using tatooine::symbolic::abcflow< real_type >::this_type = abcflow<real_type>

Constructor & Destructor Documentation

abcflow() [1/3]

template<typename real_type >

constexpr tatooine::symbolic::abcflow< real_type >::abcflow ( const real_type  a = 1, const real_type  b = 1, const real_type  c = 1  )

inlineexplicitconstexpr

abcflow() [2/3]

template<typename real_type >

constexpr tatooine::symbolic::abcflow< real_type >::abcflow ( const abcflow< real_type > &  other )

constexprdefault

abcflow() [3/3]

template<typename real_type >

constexpr tatooine::symbolic::abcflow< real_type >::abcflow ( abcflow< real_type > &&  other )

constexprdefault

~abcflow()

template<typename real_type >

tatooine::symbolic::abcflow< real_type >::~abcflow ( )

overridedefault

Member Function Documentation

operator=() [1/2]

template<typename real_type >

constexpr abcflow & tatooine::symbolic::abcflow< real_type >::operator= ( abcflow< real_type > &&  other )

constexprdefault

operator=() [2/2]

template<typename real_type >

constexpr abcflow & tatooine::symbolic::abcflow< real_type >::operator= ( const abcflow< real_type > &  other )

constexprdefault

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

• /mnt/data/home/ci/builds/Bicifxyn/0/libs/tatooine2/fields/include/tatooine/analytical/numerical/abcflow.h