OOF2: The Manual

Name

Bisection (Bisection) — Divide element edges into two.

Synopsis

Bisection(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 Bisection divides each marked edge into two 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 Bisection can be found in Table 6.8 and Table 6.9.

Figure 6.64 shows a Skeleton refined by the conservative bisection rule set, which preserves the topology of the elements (quadrilaterals beget quadrilaterals and triangles beget triangles). The original unrefined Skeleton is shown in Figure "Refining a Skeleton" (a), and the refined elements are indicated with heavy black edges.

Figure 6.64. Bisected Elements - Conservative

Bisected Elements - Conservative

The topology of the elements has been preserved.


The liberal Bisection rule set is presented in Figure 6.65. As expected. the Skeleton features a mixture of triangles and quadrilaterals -- note that its original Skeleton contained only quadrilaterals.

Figure 6.65. Bisected Elements - Liberal

Bisected Elements - Liberal

Triangles and Quadrilaterals exisiting together peacefully.