Civil Engineering Reference
In-Depth Information
Zone 1
Zone 2
Zone 3
Zone 4
N
y
= 9
Zone 5
Zone 6
Zone 8
Zone 7
Z
y
= 3
Zone 9
Zone 10
Zone 11
Zone 12
Cells
N
x
= 12, Z
x
= 4
Figure 7.3
12 × 9 = 108 cells partitioned into 4 × 3 = 12 zones.
any trouble in the subsequent operations, as a zone will be identified by the bounding row
and the bounding columns, i.e. the starting and ending rows and the starting and ending
columns.
A typical computer run for 1000 randomly generated points divided into 3 × 3 = 9 zones
is shown in Figure 7.4, in which the average number of points in a cell n = 4, R
x
and R
y
are
in a ratio of 3:2, and hence N
x
= 19, N
y
= 13 and nN
x
N
y
= 988 ≈ 1000. There are 24 cells
in the zones on the left, but there are 28 cells or even 35 cells in the zones on the right-hand
side of the domain. The size of the cells may vary slightly in such a way that the number of
points in the cells is as close to n = 4 as possible.
Figure 7.4
1000 random points partitioned into nine zones.
