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Domain decomposition for the incompressible Navier–Stokes equations: solving subdomain problems accurately and inaccurately

✍ Scribed by E. Brakkee; C. Vuik; P. Wesseling

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
207 KB
Volume
26
Category
Article
ISSN
0271-2091

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✦ Synopsis

For the solution of practical flow problems in arbitrarily shaped domains, simple Schwarz domain decomposition methods with minimal overlap are quite efficient, provided Krylov subspace methods, e.g. the GMRES method, are used to accelerate convergence. With an accurate subdomain solution, the amount of time spent solving these problems may be quite large. To reduce computing time, an inaccurate solution of subdomain problems is considered, which requires a GCR-based acceleration technique. Much emphasis is put on the multiplicative domain decomposition algorithm since we also want an algorithm which is fast on a single processor. Nevertheless, the prospects for parallel implementation are also investigated.

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