The SEDRIS Data Representation Model
APPENDIX A - Classes
Mesh Face Table

Class Name: Mesh Face Table

Superclass - <SEDRIS Abstract Base>

Subclasses

This DRM class is concrete and has no subclasses.

Definition

An instance of this DRM class specifies a two-dimensional table that defines the face elements of a <Finite Element Mesh> instance in terms of vertex numbers in the ordered <Vertex> component list of the <Finite Element Mesh> instance and, optionally, the topology of the face elements.

The first data element specifies, for cell i, j, the index in the ordered <Vertex> list of the <Vertex> representing the jth node of the ith mesh face. If the ith mesh face contains less than j nodes, so that j is greater than the number of the last listed node of mesh face i, then the cell data element contains zero (0). The edges of each mesh face i are implicitly defined by pairing node j to node j + 1.

For a given mesh face element index i and mesh face node index j, the (i, j)-th cell gives the vertex number that comprises the j-th node of the i-th mesh face. The mesh face vertices are listed (j index) in clockwise order around the outer perimeter of the mesh face, starting and ending with a first vertex. If inner perimeter rings are present, the vertex list along the second axis continues with inner perimeter vertices in counter-clockwise order starting and ending with a first vertex on each inner ring.

Primary Page in DRM Diagram:

Secondary Pages in DRM Diagram:

This class appears on only one page of the DRM class diagram.

Example

  1. Consider six <Vertex> instances, used to define a <Mesh Face Table>, where the mesh would be diagrammed as follows.

    Mesh Face Table, Example 1

    In this example, there are six <Vertex> instances forming the nodes of the mesh, which has three mesh faces (A, B, C).

    The corresponding <Mesh Face Table> instance, without surface topology, would be organized as follows, where each individual cell contains a vertex number.

    Node Number
      1 2 3 4 5
    1 (Mesh Face A) 1 2 4 1 0
    2 (Mesh Face B) 2 3 6 5 2
    3 (Mesh Face C) 4 2 5 4 0

  2. Consider the <Mesh Face Table> instance from the previous example, with the addition of surface topology (that is, adjacent_face_table_present set to SE_TRUE. In this instance, each individual cell contains a {vertex number, adjacent mesh face number} pair.

    Node Number
      1 2 3 4 5
    1 (Mesh Face A) 1, 0 2, 3 4, 0 1, 0 0, 0
    2 (Mesh Face B) 2, 0 3, 0 6, 0 5, 3 2, 0
    3 (Mesh Face C) 4, 1 2, 2 5, 0 4, 0 0, 0

FAQs

No FAQs supplied.

Constraints

Component of (two-way)

Inherited Field Elements

This class has no inherited field elements.

Field Elements

SE_Integer_Positive mesh_face_count; (notes)
SE_Integer_Positive maximum_vertices_per_face; (notes)
SE_Boolean adjacent_face_table_present; (notes)

Notes

Fields Notes


mesh_face_count

 The mesh_face_count field specifies the total number of mesh faces
 in the given <Mesh Face Table> instance.

maximum_vertices_per_face

 The maximum_vertices_per_face field specifies the maximum
 number of vertices in any one face element.

adjacent_face_table_present

 If the adjacent_face_table_present field is set to SE_TRUE, the given
 <Finite Element Mesh> instance contains face adjacency information in
 a separate table called the *adjacent face table*, which has the same
 dimensions as the mesh face table. The values in the table are positive
 integer values that specify face indices that represent the row in the
 mesh face table.

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Last updated: July 16, 2004 Copyright © 2004 SEDRIS