mesh

This module defines the Mesh class, which can be used to describe discrete geometrical models like those used in Finite Element models. It supports point (0D), line (1D), surface (2D) and volumetric (3D) meshes. This module contains useful functions to create, manipulate and analyse such meshes.

Constructor

Mesh	A Mesh is a discrete geometric model defined by nodes and elements.

Important

The Mesh class inherits from Geometry, giving it access to all attributes and methods defined there. In addition, the Mesh class provides its own methods, which are listed below.

Mesh information

These methods return information about a Mesh object.

Mesh.eltype	Return the element type of the Mesh.
Mesh.level	Return the level of the elements in the Mesh.
Mesh.plexitude	Return the plexitude of the elements in the Mesh.
Mesh.n_coords	Return the number of nodes in the Mesh.
Mesh.n_elems	Return the number of elements in the Mesh.
Mesh.shape	Return the shape of the elems array of the Mesh.
Mesh.report	Create a report on the Mesh shape and size.
Mesh.length	Return the total length of a Mesh.
Mesh.area	Return the total area of a Mesh.
Mesh.enclosed_area	Return the total enclosed area of a closed planar line Mesh.
Mesh.volume	Return the total volume of a volumetric Mesh.
Mesh.enclosed_volume	Return the total enclosed volume of a Mesh.
Mesh.check_triangle_mesh	Check whether the triangle mesh is a manifold, orientable and closed.

Mesh element information

These methods return information for each element in a Mesh object.

Mesh.lengths	Return element or perimeter lengths for a Mesh of level 1 or 2.
Mesh.areas	Return the areas of all elements in a Mesh of level 2 or 3.
Mesh.volumes	Return the signed volume of the elements in Mesh of level 3.
Mesh.centroids	Return the centroids of all elements of the Mesh.
Mesh.bounding_boxes	Returns the bounding_boxes of all elements in the Mesh.

Mesh generation

Mesh.replicate	Create copies at regular distances along a straight line.
Mesh.replicate_multi	Repeatedly replicate a Mesh in different directions
Mesh.rosette	Create rotational replications of a Mesh.
Mesh.connect	Connect a sequence of topologically congruent Meshes into a hypermesh.
Mesh.extrude	Extrude a Mesh along a straight line.
Mesh.revolve	Revolve a Mesh around an axis.
Mesh.sweep	Sweep a Mesh along a path, creating an extrusion.
Mesh.concatenate	Concatenate a list of Meshes of the same eltype.
Mesh.boolean	Perform a boolean operation with another tri3 Mesh.

Mesh adaption

Mesh.convert	Convert a Mesh to another element type.
Mesh.subdivide	Subdivide the elements of a Mesh.
Mesh.renumber	Renumber the nodes of a Mesh in the specified order.
Mesh.reorder	Reorder the elements of a Mesh.
Mesh.chained	Reorder the elements of a line Mesh into connected chains.
Mesh.clip_with_plane	Clip the Mesh with a plane.
Mesh.cut_with_plane	Cut a triangular Mesh with a plane.
Mesh.smooth	Smooth the geometry of a Mesh or data defined over a Mesh.
Mesh.remesh	Remesh a triangle Mesh.

Mesh transformation

Mesh.reverse	Reverse some or all elements of a Mesh.
Mesh.reflect	Reflect the coordinates in one of the coordinate directions.
Mesh.reflect_x	Reflect the coordinates in the X direction.
Mesh.reflect_y	Reflect the coordinates in the Y direction.
Mesh.reflect_z	Reflect the coordinates in the Z direction.
Mesh.offset	Offset a tri3 Mesh with a certain distance.

Mesh partioning

Mesh.partition_by_connection	Detect the connected parts of a Mesh.
Mesh.split_by_connection	Split a Mesh into connected parts.
Mesh.partition_by_curve	Partition a level-2 Mesh by closed curve(s) along the edges.
Mesh.split_by_curve	Split a level-2 Mesh by closed curve(s) along the edges.
Mesh.partition_by_angle	Partition a tri3 Mesh by splitting it at sharp edges.
Mesh.split_by_angle	Split a tri3 Mesh by splitting it at sharp edges.
Mesh.split_random	Split a Mesh in n parts, distributing the elements randomly.

Mesh repair & quality

Mesh.split_degenerate	Split a Mesh in non-degenerate and degenerate elements.
Mesh.remove_degenerate	Remove the degenerate elements from a Mesh.
Mesh.remove_duplicate	Remove the duplicate elements from a Mesh.
Mesh.fix_triangle_mesh	Repair and clean a triangle mesh by performing a sequence fixes.
Mesh.fix_volumes	Reverse the elements with negative volume.
Mesh.scaled_jacobian	Compute a quality measure for volume meshes.

Mesh compaction

Mesh.fuse	Fuse the nodes of a Mesh.
Mesh.compact	Remove unconnected nodes and renumber the Mesh.

Entity selection

Mesh.test	Flag elements having nodal coordinates between min and max.
Mesh.test_bounding_box	Test which part of a Mesh is inside a given bounding box.
Mesh.to_lines	Convert a Mesh to a line2 Mesh.
Mesh.get_lower_entities	Get the entities of a lower dimensionality.
Mesh.get_nodes	Return the set of unique node numbers in the Mesh.
Mesh.get_points	Return the nodal coordinates of the Mesh.
Mesh.edges	Return the unique edges of all the elements in the Mesh.
Mesh.elem_edges	Defines the elements in function of its edges.
Mesh.faces	Return the unique faces of all the elements in the Mesh.
Mesh.elem_faces	Defines the elements in function of its faces.
Mesh.cells	Return the unique 3D cells of the Mesh.
Mesh.edge_mesh	Return a Mesh consisting of the unique edges of the elements.
Mesh.face_mesh	Return a Mesh consisting of the unique faces of the elements.
Mesh.get_free_entities	Return the free entities of the specified level.
Mesh.get_free_entities_mesh	Return a Mesh with lower entities.
Mesh.get_free_edges_mesh	Return a Mesh with the free edges.
Mesh.border	Return the border of the Mesh.
Mesh.border_mesh	Return a Mesh representing the border.
Mesh.border_elems	Find the elements that are touching the border of the Mesh.
Mesh.border_nodes	Find the nodes that are on the border of the Mesh.
Mesh.inner_nodes	Find the nodes that are not on the border of the Mesh.
Mesh.peel	Remove the border elements from a Mesh.
Mesh.non_manifold_nodes	Return the non-manifold nodes of a Mesh.
Mesh.non_manifold_edges	Return the non-manifold edges of a Mesh.
Mesh.select_nodes	Return a Mesh with subsets of the original nodes.

Adjacency methods

Mesh.connected_to	Find the elements connected to specific lower entities.
Mesh.adjacent_to	Find the elements adjacent to the specified elements.
Mesh.reachable_from	Select the elements reachable from the specified elements.
Mesh.adjacency	Create an element adjacency table.
Mesh.front_walk	Visit all elements using a frontal walk.
Mesh.masked_edge_front_walk	Perform a front walk over masked edge connections.
Mesh.grow_selection	Grow a selection of a Mesh by frontal steps.
Mesh.node_connections	Find and store the elems connected to nodes.
Mesh.n_node_connected	Find the number of elems connected to nodes.
Mesh.edge_connections	Find and store the elems connected to edges.
Mesh.n_edge_connected	Find the number of elems connected to edges.
Mesh.connected_elements	Return the elements reachable from startat.

Other

Mesh.match_coords	Match nodes of coords with nodes of self.
Mesh.match_centroids	Match elements of Mesh with elements of self.
Mesh.points_at	Compute points at parametric values.
Mesh.slice	Intersect a triangular surface mesh with a series of parallel planes.
Mesh.intersection_with_plane	Return the intersection lines with plane (p,n).