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Chapter 2 Mesh Generation
1
CCHE Mesh Generator 4
j
n
A
B
Fig 2-1(a)
k > 1 (one-direction stretching function)
1
j
A
n
B
Fig 2-1(b) k < 1 (one-direction stretching function)
In this version of CCHE mesh generator, an improved more flexible and powerful twodirection stretching function is used.
j −1
S j = ∑(
1
η =[
n −1
2
2
P
)
/
( η
)P
∑
−η
−η
η
e +e
e
+
e
1
j −1
− D] × S
n
(2-2a)
(2-2b)
where Sj is the relative location; j is the label of nodal points; n is the total number of
points; P (= -1, 0, 1) is the exponential coefficient, called Power parameter. It determines
if the points will be contracted or repulsed or uniformly distributed; D is the deviational
coefficient, 0<D<1, called Deviation parameter. It determines the relative location where
the points will be contracted or repulsed; S is the parameter used to control stretching
degree, called Scale parameter. It determines in what degree the points will be contracted
or repulsed.
The effects of P and D are shown in the Fig 2-2.
In the following figure, the location of any node along this line AB is calculated by
x j = x A + ( xB − x A ) ⋅ S j
(2-3)