Cubit
15.9 *User
Documentation*

**Applies to:** Surfaces

**Summary:** Automatically meshes
parametric surface geometry with triangle elements.

**Syntax:**

Surface <range> Scheme TriDelaunay

**Discussion:**

The scheme TriDelaunay is a parametric meshing algorithm. It
can be run in two modes. The default mode (**asp**)
combines the Delaunay [Watson,81]
criterion for connecting nodes into triangles with an advancing-front
approach for inserting nodes into the mesh. This method maximizes
the number of regular triangles in the mesh but does not guarantee the
minimum angle quality of the triangles. A guaranteed quality
(**gq**) mode can be used for
planar surfaces (* only*). This
mode refines the initial Delaunay configuration by placing points at the
centroids of the worst triangles until the mesh has an acceptable density. To
switch between the two modes, use the following setting command.

[Set] Tridelaunay point placement {gq | guaranteed quality | asp}

TriDelaunay can also utilize a sizing function if one is defined for the surface.Note: This algorithm is unstable for periodic surfaces which include a singularity point, E.G. spheres with poles, cone tips and some types of toruses. Use scheme TriMesh, TriAdvance or QTri to mesh non-parametric or periodic parametric surfaces.