Incompressibility and No-Slip Boundaries in the Chebyshev-Tau Approximation: Correction to Kleiser and Schumann's Influence-Matrix Solution
✍ Scribed by J. Werne
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 243 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
I present a minor, but important correction to Kleiser and Schumann's influence-matrix solution for numerical simulation of (3 D) time-dependent incompressible flow between no-slip plane boundaries (L. Kleiser, and U. Schumann, in Proc. 3rd GAMM Conf. Numerical Methods in Fluid Mechanics, edited by E. H. Hirschel, Vieweg. Braunschweig, 1980, p. 165). The solution technique I present is, for the most part, identical to Kleiser and Schumann's, the only noteworthy difference being my treatment of the truncation (or "tau") errors. Though this improvement appears to be but a slight modification to their original algorithm, the error encountered when attempting to satisfy the incompressibility constraint is reduced dramatically (by a factor of (10^{11}) ), producing velocity fields which are divergence-free to within machine precision. 1995 Academic Press, Inc.