Civil Engineering Reference
In-Depth Information
Quality Laplace
(a)
(b)
η
min
< 0
1st cycle: η
min
< 0
(c)
(d)
2nd cycle: η
mean
= 0.7811
10th cycle: η
mean
= 0.9676
GETMe
(e)
(f)
1st cycle: η
min
< 0
2nd cycle: η
min
< 0
(g)
10th cycle: η
mean
= 0.9425
Figure 6.23
Untangling inverted elements by quality Laplace and GETMe: (a) inverted mesh; (b) one cycle
of QL; (c) two cycles of QL; (d) ten cycles of QL; (e) one cycle of GETMe; (f) two cycles of
GETMe; (g) ten cycles of GETMe.
6.3.3 Node smoothing for 3D meshes
The three optimisation schemes for 2D meshes by node shifting, namely, QL, LO and
GETMe smoothing schemes, are generic across dimensions and can be applied to 3D meshes
without much modification. Nothing needs to be changed for the QL smoothing and the
LO schemes except a proper shape measure for the FEs of the 3D mesh. As for the GETMe,
