Page 288 - Introduction to Computational Fluid Dynamics
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P2: IWV
P1: IWV/KCX
CB908/Date
0521853265c09
9.4 STONE’S METHOD
max
9
3
1 2 0 521 85326 5 4 5 6 7 8 May 11, 2005 15:41 267
1
CP1 CE1 0 CNW1 CN1 0 0 0 0 0
2 CW2 CP2 CE2 0 CNW2 CN2 0 0 0 0
3
IN
4
5 CSN 0 CSEN 0 CWN CPN CEN 0 CNWN CNN 0
6
7
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9
00 00 00 0 0 CS CSE 0 CW CP
N max max max max max
Figure 9.3. Product matrix |U|×|L|.
the product matrix are given by
CP N = BP N + BE N BW N+1 + BN N BS N+IN ,
−CE N = BE N ,
−CN N = BN N ,
−CW N = BW N BP N ,
−CS N = BS N BP N ,
−CSE N = BE N BS N+1 ,
−CNW N = BN N BW N+IN . (9.33)
Thus, the product matrix equation |U|×|L|×| |=|Su| will imply
CP N N = CE N N+1 + CW N N−1 + CN N N+IN + CS N N−IN
+ CSE N N+1−IN + CNW N N−1+IN + Su N , (9.34)
