Wrapper of serac::Functional for evaluating integrals and derivatives of quantities with shape displacement fields. More...
#include "serac/numerics/functional/functional.hpp"
Include dependency graph for shape_aware_functional.hpp:
This graph shows which files directly or indirectly include this file:
Go to the source code of this file.
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... | |
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 (lambda &&qf, double t, const coord_type &x, 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 (lambda &&qf, double t, const coord_type &x, 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 | ( | lambda && | qf, |
| double | t, | ||
| const coord_type & | x, | ||
| 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 x The spatial coordinate 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 201 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 | ( | lambda && | qf, |
| double | t, | ||
| const coord_type & | x, | ||
| 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 x The spatial coordinate at which to evaluate the integrand 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 239 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 155 of file shape_aware_functional.hpp.
