Page 293 - Introduction to Computational Fluid Dynamics

P2: IWV
P1: IWV/KCX
15:41
May 11, 2005
CB908/Date
0521853265c09
272
1 0 521 85326 5 CONVERGENCE ENHANCEMENT
81 ∗ 41 SOLUTIONS
0.1 VARIABLE CONDUCTIVITY
RESIDUE

0.01

Two-line TDMA
0.001
ADI
GS
0.0001 STONE

BLOCK
CORR ITERATIONS
1E-5
500 1000 1500 2000 2500 3000 3500
Figure 9.4. Convergence history for Problem 4.

EXERCISES

1. Derive appropriate block-correction equations for lines of constant j.
2. Starting with Equation 9.16, derive Equations 9.28 and 9.29.
3. Derive equations of two-line TDMA for lines of constant i and i + 1.

4. Starting with Equation 9.34, derive Equations 9.39–9.43.
5. Using the notation of the program LIB2D.FOR in Appendix C, write subrou-
tines to implement block-correction, two-line TDMA, and Stone’s procedures.