Civil Engineering Reference
In-Depth Information
Cavity created by
removing elements
from the ellipsoid
S
2
S
1
S
1
(a)
Figure 8.119
Mesh compatibility restored. (a) Cylinder = master and sphere = slave.
2007; Geuzaine and Remacle 2009) are available for the generation of tetrahedral meshes
conformable with specified triangulated boundary surfaces.
8.6.2.6 Merging of tetrahedral meshes
A region of intersection is bounded by cut surfaces, which are patches on the boundary
surface bounded by intersection loops. Each surface patch is given a unique surface label,
and all the triangular facets belonging to this patch will
l
be given the same surface label or
zone number. All the triangular facets from ∂Ω and
∂
bearing the zone number corre-
sponding to the bounding surfaces of the region are collected. As shown in Figure 8.120a,
Volume for MG (
3
)
(a)
Ω
Cutting faces
S
∈
∂Ω
Cavity created upon
removal of tetrahedra
in Ω (
1
)
Ω
∩
Ω
Intersection loops
Tetrahedra remained in
region of intersection (
2
)
Volume for MG (
3
)
Ω
(b)
1
3
_
V
=
2
3
1
Figure 8.120
Restore compatibility by local MG: (a) compatibility restored by local MG; (b) region of intersection
is detached.
