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Reference documentation for deal.II version 9.2.0
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Reference documentation for deal.II version 9.2.0
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#include <deal.II/grid/manifold_lib.h>
Public Member Functions | |
| CylindricalManifold (const unsigned int axis=0, const double tolerance=1e-10) | |
| CylindricalManifold (const Tensor< 1, spacedim > &direction, const Point< spacedim > &point_on_axis, const double tolerance=1e-10) | |
| virtual std::unique_ptr< Manifold< dim, spacedim > > | clone () const override |
| virtual Point< 3 > | pull_back (const Point< spacedim > &space_point) const override |
| virtual Point< spacedim > | push_forward (const Point< 3 > &chart_point) const override |
| virtual DerivativeForm< 1, 3, spacedim > | push_forward_gradient (const Point< 3 > &chart_point) const override |
| virtual Point< spacedim > | get_new_point (const ArrayView< const Point< spacedim >> &surrounding_points, const ArrayView< const double > &weights) const override |
 Public Member Functions inherited from ChartManifold< dim, dim, 3 > | |
| ChartManifold (const Tensor< 1, chartdim > &periodicity=Tensor< 1, chartdim >()) | |
| virtual | ~ChartManifold () override=default |
| virtual Point< spacedim > | get_intermediate_point (const Point< spacedim > &p1, const Point< spacedim > &p2, const double w) const override |
| virtual void | get_new_points (const ArrayView< const Point< spacedim >> &surrounding_points, const Table< 2, double > &weights, ArrayView< Point< spacedim >> new_points) const override |
| virtual Point< spacedim > | push_forward (const Point< chartdim > &chart_point) const=0 |
| virtual DerivativeForm< 1, chartdim, spacedim > | push_forward_gradient (const Point< chartdim > &chart_point) const |
| virtual Tensor< 1, spacedim > | get_tangent_vector (const Point< spacedim > &x1, const Point< spacedim > &x2) const override |
| const Tensor< 1, chartdim > & | get_periodicity () const |
| Public Member Functions inherited from Manifold< dim, spacedim > | |
| virtual | ~Manifold () override=default |
| Tensor< 1, 2 > | normal_vector (const Triangulation< 2, 2 >::face_iterator &face, const Point< 2 > &p) const |
| Tensor< 1, 3 > | normal_vector (const Triangulation< 3, 3 >::face_iterator &face, const Point< 3 > &p) const |
| void | get_normals_at_vertices (const Triangulation< 2, 2 >::face_iterator &face, FaceVertexNormals &n) const |
| void | get_normals_at_vertices (const Triangulation< 3, 3 >::face_iterator &face, FaceVertexNormals &n) const |
| Point< 1 > | get_new_point_on_face (const Triangulation< 1, 1 >::face_iterator &) const |
| Point< 2 > | get_new_point_on_face (const Triangulation< 1, 2 >::face_iterator &) const |
| Point< 3 > | get_new_point_on_face (const Triangulation< 1, 3 >::face_iterator &) const |
| Point< 1 > | get_new_point_on_quad (const Triangulation< 1, 1 >::quad_iterator &) const |
| Point< 2 > | get_new_point_on_quad (const Triangulation< 1, 2 >::quad_iterator &) const |
| Point< 3 > | get_new_point_on_quad (const Triangulation< 1, 3 >::quad_iterator &) const |
| Point< 3 > | get_new_point_on_hex (const Triangulation< 3, 3 >::hex_iterator &hex) const |
| virtual Point< spacedim > | project_to_manifold (const ArrayView< const Point< spacedim >> &surrounding_points, const Point< spacedim > &candidate) const |
| virtual Point< spacedim > | get_new_point_on_line (const typename Triangulation< dim, spacedim >::line_iterator &line) const |
| virtual Point< spacedim > | get_new_point_on_quad (const typename Triangulation< dim, spacedim >::quad_iterator &quad) const |
| virtual Point< spacedim > | get_new_point_on_hex (const typename Triangulation< dim, spacedim >::hex_iterator &hex) const |
| Point< spacedim > | get_new_point_on_face (const typename Triangulation< dim, spacedim >::face_iterator &face) const |
| Point< spacedim > | get_new_point_on_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell) const |
| virtual Tensor< 1, spacedim > | normal_vector (const typename Triangulation< dim, spacedim >::face_iterator &face, const Point< spacedim > &p) const |
| virtual void | get_normals_at_vertices (const typename Triangulation< dim, spacedim >::face_iterator &face, FaceVertexNormals &face_vertex_normals) const |
| Public Member Functions inherited from Subscriptor | |
| Subscriptor () | |
| Subscriptor (const Subscriptor &) | |
| Subscriptor (Subscriptor &&) noexcept | |
| virtual | ~Subscriptor () |
| Subscriptor & | operator= (const Subscriptor &) |
| Subscriptor & | operator= (Subscriptor &&) noexcept |
| void | subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const |
| void | unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const |
| unsigned int | n_subscriptions () const |
| template<typename StreamType > | |
| void | list_subscribers (StreamType &stream) const |
| void | list_subscribers () const |
| template<class Archive > | |
| void | serialize (Archive &ar, const unsigned int version) |
Protected Attributes | |
| const Tensor< 1, spacedim > | normal_direction |
| const Tensor< 1, spacedim > | direction |
| const Point< spacedim > | point_on_axis |
Private Attributes | |
| double | tolerance |
Additional Inherited Members | |
| Public Types inherited from Manifold< dim, spacedim > | |
| using | FaceVertexNormals = std::array< Tensor< 1, spacedim >, GeometryInfo< dim >::vertices_per_face > |
| Static Public Member Functions inherited from Subscriptor | |
| static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
| static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
Cylindrical Manifold description. In three dimensions, points are transformed using a cylindrical coordinate system along the x-, y- or z-axis (when using the first constructor of this class), or an arbitrarily oriented cylinder described by the direction of its axis and a point located on the axis.
This class was developed to be used in conjunction with the cylinder or cylinder_shell functions of GridGenerator. This function will throw a run time exception whenever spacedim is not equal to three.
Definition at line 387 of file manifold_lib.h.
| CylindricalManifold< dim, spacedim >::CylindricalManifold | ( | const unsigned int | axis = 0, |
| const double | tolerance = 1e-10 |
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Constructor. Using default values for the constructor arguments yields a cylinder along the x-axis (axis=0). Choose axis=1 or axis=2 for a tube along the y- or z-axis, respectively. The tolerance value is used to determine if a point is on the axis.
Definition at line 1038 of file manifold_lib.cc.
| CylindricalManifold< dim, spacedim >::CylindricalManifold | ( | const Tensor< 1, spacedim > & | direction, |
| const Point< spacedim > & | point_on_axis, | ||
| const double | tolerance = 1e-10 |
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| ) |
Constructor. If constructed with this constructor, the manifold described is a cylinder with an axis that points in direction direction and goes through the given point_on_axis. The direction may be arbitrarily scaled, and the given point may be any point on the axis. The tolerance value is used to determine if a point is on the axis.
Definition at line 1053 of file manifold_lib.cc.
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overridevirtual |
Make a clone of this Manifold object.
Implements Manifold< dim, spacedim >.
Definition at line 1073 of file manifold_lib.cc.
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overridevirtual |
Compute the cylindrical coordinates \((r, \phi, \lambda)\) for the given space point where \(r\) denotes the distance from the axis, \(\phi\) the angle between the given point and the computed normal direction, and \(\lambda\) the axial position.
Implements ChartManifold< dim, dim, 3 >.
Definition at line 1112 of file manifold_lib.cc.
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overridevirtual |
Compute the Cartesian coordinates for a chart point given in cylindrical coordinates \((r, \phi, \lambda)\), where \(r\) denotes the distance from the axis, \(\phi\) the angle between the given point and the computed normal direction, and \(\lambda\) the axial position.
Definition at line 1138 of file manifold_lib.cc.
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overridevirtual |
Compute the derivatives of the mapping from cylindrical coordinates \((r, \phi, \lambda)\) to cartesian coordinates where \(r\) denotes the distance from the axis, \(\phi\) the angle between the given point and the computed normal direction, and \(\lambda\) the axial position.
Definition at line 1159 of file manifold_lib.cc.
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overridevirtual |
Compute new points on the CylindricalManifold. See the documentation of the base class for a detailed description of what this function does.
Reimplemented from ChartManifold< dim, dim, 3 >.
Definition at line 1083 of file manifold_lib.cc.
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A vector orthogonal to the normal direction.
Definition at line 455 of file manifold_lib.h.
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The direction vector of the axis.
Definition at line 460 of file manifold_lib.h.
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An arbitrary point on the axis.
Definition at line 465 of file manifold_lib.h.
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Relative tolerance to measure zero distances.
Definition at line 471 of file manifold_lib.h.
1.8.17