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ASPECT
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ASPECT
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Public Member Functions | |
| SphericalManifoldWithTopography (const InitialTopographyModel::Interface< dim > &topography, const double inner_radius, const double outer_radius) | |
| SphericalManifoldWithTopography (const SphericalManifoldWithTopography< dim > &)=default | |
| virtual std::unique_ptr< Manifold< dim, dim > > | clone () const override |
| Point< dim > | push_forward_from_sphere (const Point< dim > &p) const |
| Point< dim > | pull_back_to_sphere (const Point< dim > &p) const |
| virtual Point< dim > | get_intermediate_point (const Point< dim > &p1, const Point< dim > &p2, const double w) const override |
| virtual Tensor< 1, dim > | get_tangent_vector (const Point< dim > &x1, const Point< dim > &x2) const override |
| virtual Tensor< 1, dim > | normal_vector (const typename Triangulation< dim, dim >::face_iterator &face, const Point< dim > &p) const override |
| virtual void | get_normals_at_vertices (const typename Triangulation< dim, dim >::face_iterator &face, typename Manifold< dim, dim >::FaceVertexNormals &face_vertex_normals) const override |
| virtual void | get_new_points (const ArrayView< const Point< dim >> &surrounding_points, const Table< 2, double > &weights, ArrayView< Point< dim >> new_points) const override |
| virtual Point< dim > | get_new_point (const ArrayView< const Point< dim >> &vertices, const ArrayView< const double > &weights) const override |
 Public Member Functions inherited from aspect::SphericalManifold< dim > | |
| SphericalManifold (const Point< dim > center=Point< dim >()) | |
Private Member Functions | |
| double | topography_for_point (const Point< dim > &x_y_z) const |
Private Attributes | |
| const InitialTopographyModel::Interface< dim > * | topo |
| const double | R0 |
| const double | R1 |
Additional Inherited Members | |
| Public Attributes inherited from aspect::SphericalManifold< dim > | |
| const Point< dim > | center |
A description of a manifold that describes a spherical shell with overlaid topography.
Definition at line 39 of file spherical_shell.h.
| aspect::GeometryModel::internal::SphericalManifoldWithTopography< dim >::SphericalManifoldWithTopography | ( | const InitialTopographyModel::Interface< dim > & | topography, |
| const double | inner_radius, | ||
| const double | outer_radius | ||
| ) |
Constructor.
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default |
Copy constructor.
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overridevirtual |
Make a clone of this Manifold object.
Reimplemented from aspect::SphericalManifold< dim >.
| Point<dim> aspect::GeometryModel::internal::SphericalManifoldWithTopography< dim >::push_forward_from_sphere | ( | const Point< dim > & | p | ) | const |
Given a point in the undeformed spherical geometry, push it forward to the corresponding point in the sphere with surface topography.
| Point<dim> aspect::GeometryModel::internal::SphericalManifoldWithTopography< dim >::pull_back_to_sphere | ( | const Point< dim > & | p | ) | const |
Given a point in the deformed spherical geometry with topography, pull it back to the corresponding point in the undeformed sphere.
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overridevirtual |
Given any two points in space, first project them on the surface of a sphere with unit radius, then connect them with a geodesic and find the intermediate point, and finally rescale the final radius so that the resulting one is the convex combination of the starting radii.
Reimplemented from aspect::SphericalManifold< dim >.
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overridevirtual |
Compute the derivative of the get_intermediate_point() function with parameter w equal to zero.
Reimplemented from aspect::SphericalManifold< dim >.
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overridevirtual |
We fudge here, but for a good reason. What the function is supposed to compute is the normal vector to the surface. This should be the normal to the surface with topography, but instead we return the normal to the undeformed surface – i.e., the radial direction. This is, in particular, used to compute no-flux boundary conditions, for which we want to impose a boundary condition that allows for plate-like motion – that is, we need to allow horizontal motion, even if that is not tangential to the surface along the slopes of mountains or ocean trenches. Using the radial direction, i.e., the normal vector to the undeformed surface (= a radial vector) allows for exactly this.
Reimplemented from aspect::SphericalManifold< dim >.
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overridevirtual |
Compute the normal vectors to the boundary at each vertex.
Reimplemented from aspect::SphericalManifold< dim >.
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overridevirtual |
Compute a new set of points that interpolate between the given points surrounding_points. weights is a table with as many columns as surrounding_points.size(). The number of rows in weights must match the length of new_points.
This function is optimized to perform on a collection of new points, by collecting operations that are not dependent on the weights outside of the loop over all new points.
The implementation does not allow for surrounding_points and new_points to point to the same array, so make sure to pass different objects into the function.
Reimplemented from aspect::SphericalManifold< dim >.
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overridevirtual |
Return a point on the spherical manifold which is intermediate with respect to the surrounding points.
Reimplemented from aspect::SphericalManifold< dim >.
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private |
Return the topography of the surface directly above the point given by the coordinates stored in the argument.
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private |
A pointer to the topography model.
Definition at line 155 of file spherical_shell.h.
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private |
Inner and outer radii of the spherical shell.
Definition at line 160 of file spherical_shell.h.
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private |
Definition at line 160 of file spherical_shell.h.