Page 199 - Computational Fluid Dynamics for Engineers
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6.3 Finite-Difference Method 187
and with fij = 0
0
F 2
F = (6.3.16b)
F > Fj = 0
J
Fj 0
the Aj, Bj and Cj matrices of the coefficient matrix A in Eq. (4.5 •7) are given
by
a\ «2
a\
a 3 a 2
as a\ a?
Ai = (6.3.17a)
«3 a* ct2
Oil CX2
c*3 a\ a.2
az a\ 0:2
= (6.3.17b)
A 3
« 3 d\ OL2
1 al a 2
az a\ a.2
as a\ a2
Aj = (6.3.17c)
«3 a\ a 2
at,
a* 2
Bj = Cj = Ii 2<j<J- 1 (6.3.17d)
-H
Ci •II (6.3.17e)
where
1 4 + 4
= a\ + - ,
a^ = as - -OL2, al = aj + - a 2 , a^ = ai + - a 2 (6.3.18)
a 1
Table 6.1 and Fig. 6.6 show the results obtained for a grid composed of 91
points in the ^-direction and 46 points in the //-direction with 770 — 0.1. Several
