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

The Skeleton
trisected with the conservative rule set.

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.