Anisotropic element class. More...
#include <field.h>
Public Member Functions | |
| ElementAnisotropic () | |
| Constructor, sets default element definition. More... | |
| real & | scale () override |
| Reference for element size. More... | |
| void | set_scale (const real val) override |
| Set the scale for the element. | |
| real | get_scale () const override |
| Get the scale for the element. | |
| void | set_anisotropic_ratio (const std::array< real, dim > &ratio) override |
| Set the anisotropic ratio for each reference axis. More... | |
| std::array< real, dim > | get_anisotropic_ratio () override |
| Get the anisotropic ratio of each reference axis as an array. More... | |
| real | get_anisotropic_ratio (const unsigned int j) override |
| Get the anisotropic ratio corresponding to the \(j^{th}\) reference axis. More... | |
| void | set_unit_axis (const std::array< dealii::Tensor< 1, dim, real >, dim > &unit_axis) override |
| setting the (unit) axis direction | |
| std::array< dealii::Tensor< 1, dim, real >, dim > | get_unit_axis () override |
| getting the (unit) axis direction (array) | |
| dealii::Tensor< 1, dim, real > | get_unit_axis (const unsigned int j) override |
| getting the (unit) axis direction | |
| void | set_axis (const std::array< dealii::Tensor< 1, dim, real >, dim > &axis) override |
| setting frame axis j (scaled) at index | |
| std::array< dealii::Tensor< 1, dim, real >, dim > | get_axis () override |
| getting frame axis j (scaled) at index (array) | |
| dealii::Tensor< 1, dim, real > | get_axis (const unsigned int j) override |
| getting frame axis j (scaled) at index | |
| dealii::Tensor< 2, dim, real > | get_metric () override |
| get metric value at index | |
| dealii::Tensor< 2, dim, real > | get_inverse_metric () override |
| get inverse metric value | |
| void | set_anisotropy (const std::array< real, dim > &derivative_value, const std::array< dealii::Tensor< 1, dim, real >, dim > &derivative_direction, const unsigned int order) override |
| Set anisotropy from reconstructed directional derivatives. More... | |
| void | apply_anisotropic_limit (const real anisotropic_ratio_min, const real anisotropic_ratio_max) |
| Limits the anisotropic ratios to a given bandwidth. More... | |
 Public Member Functions inherited from PHiLiP::GridRefinement::Element< dim, real > | |
| virtual | ~Element ()=default |
| Destructor. | |
| template<typename DoFCellAccessorType > | |
| void | set_cell (const DoFCellAccessorType &cell) |
| Set the Element based on the input cell (from current mesh) More... | |
Protected Member Functions | |
| void | set_cell_internal (const typename Element< dim, real >::VertexList &vertices) override |
| Set element to match geometry of input vertex set. More... | |
| Protected Member Functions inherited from PHiLiP::GridRefinement::Element< dim, real > | |
| ChordList | get_chord_list (const VertexList &vertices) |
| Get the chord list from an input set of vertices. | |
| virtual void | set_cell_internal (const VertexList &vertices)=0 |
| Set element to match geometry of input vertex set. More... | |
Private Member Functions | |
| void | clear () |
| resets the element | |
| void | correct_element () |
| Corrects internal values to ensure consistent treatement. More... | |
| void | correct_unit_axis () |
| renormalize the unit_axis More... | |
| void | correct_anisotropic_ratio () |
| Correct the anisotropic ratio values. More... | |
| void | sort_anisotropic_ratio () |
| Sorts the anisotropic ratio values (and corresponding unit axis) in ascending order. | |
Private Attributes | |
| real | m_scale |
| element size based on \((Volume)^{1/dim}\) | |
| std::array< real, dim > | m_anisotropic_ratio |
| Anisotropic axis ratios (relative to element scale) | |
| std::array< dealii::Tensor< 1, dim, real >, dim > | m_unit_axis |
| axis unit vector directions | |
Friends | |
| std::ostream & | operator<< (std::ostream &os, const ElementAnisotropic< dim, real > &element) |
| Write properties of element to ostream. More... | |
Additional Inherited Members | |
| Public Types inherited from PHiLiP::GridRefinement::Element< dim, real > | |
| using | VertexList = std::array< dealii::Tensor< 1, dim, real >, dealii::GeometryInfo< dim >::vertices_per_cell > |
| Type alias for array of vertex coordinates for element. | |
| using | ChordList = std::array< dealii::Tensor< 1, dim, real >, dim > |
| Type alias for array of chord veectors (face center to face center) in Deal.II ordering. | |
Detailed Description
template<int dim, typename real>
class PHiLiP::GridRefinement::ElementAnisotropic< dim, real >
Anisotropic element class.
Specialization of the element type for the anisotropic remeshing case. Stores decomposed frame field axes (size, orientation and anisotropy). A collection of elements is contained in the corresponding Field class.
Constructor & Destructor Documentation
◆ ElementAnisotropic()
| PHiLiP::GridRefinement::ElementAnisotropic< dim, real >::ElementAnisotropic | ( | ) |
Member Function Documentation
◆ apply_anisotropic_limit()
|
virtual |
Limits the anisotropic ratios to a given bandwidth.
First finds ratio above max, redistributes length change to maintain constant volume and scale. Then the process is repeated with a lower bound. Note: does nothing in the isotropic case.
Implements PHiLiP::GridRefinement::Element< dim, real >.
◆ correct_anisotropic_ratio()
|
private |
◆ correct_element()
|
private |
◆ correct_unit_axis()
|
private |
renormalize the unit_axis
Uses factoring and rescaling non-unit length into anisotropic ratio. correct_anisotropic_ratio() should be called immediately afterward.
◆ get_anisotropic_ratio() [1/2]
|
overridevirtual |
Get the anisotropic ratio of each reference axis as an array.
Note: equals 1 for each axis in isotropic case.
Implements PHiLiP::GridRefinement::Element< dim, real >.
◆ get_anisotropic_ratio() [2/2]
|
overridevirtual |
Get the anisotropic ratio corresponding to the \(j^{th}\) reference axis.
Note: equals 1 for each axis in isotropic case.
Implements PHiLiP::GridRefinement::Element< dim, real >.
◆ scale()
|
overridevirtual |
Reference for element size.
Allows direct read/write of scale of mean element axis. Measure of element (length, area, volume) will be \(scale^{dim}\)
Implements PHiLiP::GridRefinement::Element< dim, real >.
◆ set_anisotropic_ratio()
|
overridevirtual |
Set the anisotropic ratio for each reference axis.
Requires array of order matching axis definition. Each reference axis will have length \(l = \alpha * scale\). Note: does nothing in the isotropic case.
Implements PHiLiP::GridRefinement::Element< dim, real >.
◆ set_anisotropy()
|
overridevirtual |
Set anisotropy from reconstructed directional derivatives.
Based on Dolejsi's method for simplices, uses values obtained from reconstructed polynomial on neighbouring cell patch.
Implements PHiLiP::GridRefinement::Element< dim, real >.
◆ set_cell_internal()
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overrideprotected |
Set element to match geometry of input vertex set.
Vertices describe the tensor product element in Deal.II ordering. Internal function used in handling of set_cell().
Friends And Related Function Documentation
◆ operator<<
|
friend |
The documentation for this class was generated from the following files:
