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Numerical solution of the generalized Stokes problem for the flow in a channel

✍ Scribed by Daniel X. Guo

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 243 KB
Volume: 13
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199705)13:3<237::aid-num2>3.0.co;2-o

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✦ Synopsis

In this article we introduce the separation of variables in the two-dimensional generalized Stokes problem, -ν∆u + αu + ∇p = f , for the flow in a channel. Also for the first time, we discuss the implementation of the Incremental Unknowns Method with a data structure of Compressed Column Storage. Two examples of application of the Incremental Unknowns method for this problem are presented in which we compare the CPU times of three methods: Conjugate Gradient (CG), Incremental Unknowns (IU), and Uzawa Algorithm (Uzawa).

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