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Reference documentation for deal.II version 9.1.1
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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 |
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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 |
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virtual | ~Manifold () override=default |
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 |
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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 | |
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using | FaceVertexNormals = std::array< Tensor< 1, spacedim >, GeometryInfo< dim >::vertices_per_face > |
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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 379 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 988 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 1003 of file manifold_lib.cc.
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overridevirtual |
Make a clone of this Manifold object.
Implements Manifold< dim, spacedim >.
Definition at line 1023 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, spacedim, 3 >.
Definition at line 1062 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 1088 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 1109 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, spacedim, 3 >.
Definition at line 1033 of file manifold_lib.cc.
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protected |
A vector orthogonal to the normal direction.
Definition at line 447 of file manifold_lib.h.
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protected |
The direction vector of the axis.
Definition at line 452 of file manifold_lib.h.
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protected |
An arbitrary point on the axis.
Definition at line 457 of file manifold_lib.h.
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private |
Relative tolerance to measure zero distances.
Definition at line 463 of file manifold_lib.h.