shape_aware_functional.hpp File Reference

Wrapper of serac::Functional for evaluating integrals and derivatives of quantities with shape displacement fields. More...

#include "serac/infrastructure/accelerator.hpp"
#include "serac/numerics/functional/functional.hpp"

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Classes
struct	serac::detail::ShapeCorrection< dim, shape_type >
	A helper struct that contains the appropriate parent-to-physical and physical-to-parent transformations for an applied shape field. More...
class	serac::ShapeAwareFunctional< shape, test(trials...), exec >
	This is a small wrapper around serac::Functional for shape-displaced domains of integration. More...
struct	serac::ShapeAwareFunctional< shape, test(trials...), exec >::ShapeAwareIntegrandWrapper< Integrand, dim, args >
	Functor representing a shape-aware integrand. Used instead of an extended generic lambda for compatibility with NVCC. More...
struct	serac::ShapeAwareFunctional< shape, test(trials...), exec >::ShapeAwareIntegrandWrapperWithState< Integrand, dim, args >
	Functor representing a shape-aware integrand with state. Used instead of an extended generic lambda for compatibility with NVCC. More...
struct	serac::ShapeAwareFunctional< shape, test(trials...), exec >::ShapeAwareInteriorBoundaryIntegrandWrapper< test_type, Integrand, dim, args >
	Functor representing a shape-aware integrand. Used instead of an extended generic lambda for compatibility with NVCC. More...
struct	serac::ShapeAwareFunctional< shape, test(trials...), exec >::ShapeAwareInteriorBoundaryIntegrandWrapper< double, Integrand, dim, args... >
	Functor representing a shape-aware integrand. Used instead of an extended generic lambda for compatibility with NVCC. More...
struct	serac::ShapeAwareFunctional< shape, test(trials...), exec >::ShapeAwareBoundaryIntegrandWrapper< Integrand, dim, args >
	Functor representing a shape-aware integrand. Used instead of an extended generic lambda for compatibility with NVCC. More...

Namespaces
	serac
	Accelerator functionality.

Functions
template<typename position_type , typename shape_type >
SERAC_HOST_DEVICE auto	serac::detail::compute_boundary_area_correction (const position_type &X, const shape_type &shape)
	Compute the boundary area correction term for boundary integrals with a shape displacement field. More...
template<typename lambda , typename coord_type , typename shape_type , typename space_types , typename trial_types , typename correction_type , int... i>
SERAC_HOST_DEVICE auto	serac::detail::apply_shape_aware_qf_helper (const lambda &qf, double t, const coord_type &position, const shape_type &shape, const space_types &space_tuple, const trial_types &arg_tuple, const correction_type &correction, std::integer_sequence< int, i... >)
	A helper function to modify all of the trial function input derivatives according to the given shape displacement for integrands without state variables. More...
template<typename lambda , typename coord_type , typename state_type , typename shape_type , typename space_types , typename trial_types , typename correction_type , int... i>
SERAC_HOST_DEVICE auto	serac::detail::apply_shape_aware_qf_helper_with_state (const lambda &qf, double t, const coord_type &position, state_type &state, const shape_type &shape, const space_types &space_tuple, const trial_types &arg_tuple, const correction_type &correction, std::integer_sequence< int, i... >)
	A helper function to modify all of the trial function input derivatives according to the given shape displacement for integrands without state variables. More...

Detailed Description

Wrapper of serac::Functional for evaluating integrals and derivatives of quantities with shape displacement fields.

Definition in file shape_aware_functional.hpp.

Function Documentation

apply_shape_aware_qf_helper()

template<typename lambda , typename coord_type , typename shape_type , typename space_types , typename trial_types , typename correction_type , int... i>

SERAC_HOST_DEVICE auto serac::detail::apply_shape_aware_qf_helper	(	const lambda &	qf,
		double	t,
		const coord_type &	position,
		const shape_type &	shape,
		const space_types &	space_tuple,
		const trial_types &	arg_tuple,
		const correction_type &	correction,
		std::integer_sequence< int, i... >
	)

A helper function to modify all of the trial function input derivatives according to the given shape displacement for integrands without state variables.

Template Parameters

lambda	The q-function type
coord_type	The input position type
shape_type	The type of the shape displacement argument
space_types	The type of the input finite element space tuple for the trial functions
trial_types	The type of the input finite element argument tuple (values and derivatives)
correction_type	The type of the shape correction struct
i	Indices for accessing the individual arguments for the underlying q-function

Parameters

qf	The q-function integrand with expects shape-adjusted arguments
t	The time at which to evaluate the integrand
position	The quadrature point spatial coordinates and isoparametric derivatives
shape	The space displacement at which to evaluate the integrand
space_tuple	The tuple of finite element spaces used by the input trial functions
arg_tuple	The tuple of input arguments for the trial functions (value and gradient)
correction	The shape correction struct containing the data and methods used to calculate the appropriate pullback mappings

Returns

The q-function value using the shape-modified input arguments. Note that the returned value and flux have not been modified to reflect the shape displacement.

Definition at line 195 of file shape_aware_functional.hpp.

apply_shape_aware_qf_helper_with_state()

template<typename lambda , typename coord_type , typename state_type , typename shape_type , typename space_types , typename trial_types , typename correction_type , int... i>

SERAC_HOST_DEVICE auto serac::detail::apply_shape_aware_qf_helper_with_state	(	const lambda &	qf,
		double	t,
		const coord_type &	position,
		state_type &	state,
		const shape_type &	shape,
		const space_types &	space_tuple,
		const trial_types &	arg_tuple,
		const correction_type &	correction,
		std::integer_sequence< int, i... >
	)

A helper function to modify all of the trial function input derivatives according to the given shape displacement for integrands without state variables.

Template Parameters

lambda	The q-function type
coord_type	The input position type
state_type	The quadrature data container type
shape_type	The type of the shape displacement argument
space_types	The type of the input finite element space tuple for the trial functions
trial_types	The type of the input finite element argument tuple (values and derivatives)
correction_type	The type of the shape correction struct
i	Indices for accessing the individual arguments for the underlying q-function

Parameters

qf	The q-function integrand with expects shape-adjusted arguments
t	The time at which to evaluate the integrand
position	The quadrature point spatial coordinates and isoparametric derivatives
state	The quadrature data at which to evaluate the integrand
shape	The space displacement at which to evaluate the integrand
space_tuple	The tuple of finite element spaces used by the input trial functions
arg_tuple	The tuple of input arguments for the trial functions (value and gradient)
correction	The shape correction struct containing the data and methods used to calculate the appropriate pullback mappings

Returns

The q-function value using the shape-modified input arguments. Note that the returned value and flux have not been modified to reflect the shape displacement.

Definition at line 241 of file shape_aware_functional.hpp.

compute_boundary_area_correction()

template<typename position_type , typename shape_type >

SERAC_HOST_DEVICE auto serac::detail::compute_boundary_area_correction	(	const position_type &	X,
		const shape_type &	shape
	)

Compute the boundary area correction term for boundary integrals with a shape displacement field.

Template Parameters

position_type	The position input argument type
shape_type	The shape displacement input argument type

Parameters

X	The input position (value and gradient)
shape	The input shape displacement (value and gradient)

Returns

The area correction factor transforming the boundary integral from the reference domain area into the shape-displaced area

Definition at line 149 of file shape_aware_functional.hpp.