Page 287 - Introduction to Computational Fluid Dynamics
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P2: IWV
P1: IWV/KCX
15:41
CB908/Date
0521853265c09
May 11, 2005
266
I 0 521 85326 5 CONVERGENCE ENHANCEMENT
1 2 3 4 5 6 7 8 9 max
1
AP1 −AE1 0 0 −AN1 0 0 0 0 0 Φ Φ 1 Su
J 1
Φ Φ Su
2 −AW2 AP2 −AE2 0 0 −AN2 0 0 0 0 2 2
3
IN
4
0
5 −ASN 00 0 −AWN APN −AEN 0 0 −ANN Φ Ν Su 3
6
7
8
9
N max 00 00 00 0 0 −AS max 0 0 −AW max −AP max Φ max
Su max
Figure 9.1. Matrix representation of Equation 9.31.
BP1 BE1 0 0 BN1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
0 BP2 BE2 0 0 BN2 0 0 0 0 0 BW2 1 0 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0 0
0 0 0 0 BPN BEN 0 0 BNN 0 BSN 0 0 BWN 1 0 0 0 0 0
0 0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 BP max 0 0 0 0 0 BS max 0 0 BW max 1
U Matrix L Matrix
Figure 9.2. The L and U matrices.
