OOF2: The Manual

Name

Trisection (Trisection) — Gallia est omnis divisa in partes tres, as are the edges of the elements.

Synopsis

Trisection(rule_set)

Details

  • Base class: RefinementDegree
  • Parameters:

    rule_set
    How to subdivide elements Type: An object from the RuleSet enumerated class.

Description

Refining Skeleton elements with degree set to Trisection divides each marked edge into three segments.

The rule_set parameter determines how the interior of each element is subdivided, given the number of subdivisions on each edge. The complete set of refinement rules for Trisection can be found in Table 6.8 and Table 6.9.

Figure 6.116 shows a Skeleton refined with a conservative trisection rule set, which preserves the topology of the elements, and with the liberal rule set, which does not. The original unrefined Skeleton is shown in Figure "Refining a Skeleton" (a), and the refined elements are indicated with heavy black edges.

Figure 6.116. Trisected Elements

Trisected ElementsTrisected Elements

A Skeleton ready for refinement.

Trisected Elements

The Skeleton trisected with the conservative rule set.

Trisected Elements

The Skeleton trisected with the liberal rule set. The liberal rules allow OOF2 to choose different configurations depending on the local geometry. The elements in the two red ellipses have the same topology but different geometry, and have been refined differently.