Accuracy and dispersion of difference schemes

✍ Scribed by A.S. Makarenko; M.N. Moskal'kov

• Publisher: Elsevier Science
• Year: 1983
• Weight: 389 KB
• Volume: 23
• Category: Article
• ISSN: 0041-5553
• DOI: 10.1016/s0041-5553(83)80146-3

✦ Synopsis

Here, /luJ is chosen from the condition for mJ.nJ.mum III from the relation /lu.~-ea..

All the computations are then repeated for the improved control uHI(I). The iterations are peformed until the condition I~/l is satisfied. Since (17) holds only under the assumption of infinitely small variations /lu, successful optimization depends basically on making a sensible choice of e.

The problem was solved with the following data: p=3.02•10-• cm 2 , 110 =0.03 P, I1w -0-01 p. m=0.2, S,-O.1. L=100m, II=IOO, /l=0.0008.

At the 15th iteration the maximum /luJ was 0.00012, indicating the damping of the convergence. The value of the functional was then 0.00078.

The results obtained after the 15th iterations are shown in Figs.l and 2. REFERENCES 1.