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Continuation techniques for a penalty approximation of the Navier-Stokes equations

✍ Scribed by G.F. Carey; R. Krishnan

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 729 KB
Volume: 48
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(85)80002-5

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✦ Synopsis

Continuation techniques are used 10 solve a penalty finite element approximation of the Navier-Stokes equations. Sufficient conditions are given for convergence of the Euler-Newton continuation method in a Reynolds parameter to an isolated solution of the finite clement problem. Numerical results are presented for the 'driven cavity' problem. The approach is extended to arc length continuation to treat problems with singular points on the continuation path.

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