Domain Decomposition for the Incompressible Navier-Stokes Equations: SolvingSubdomain Problems Accurately and Inaccurately

摘要

For the solution of practical flow problems in arbitrarily shaped domains, simpleSchwarz domain decomposition methods with minimal overlap are quite efficient, provided Krylov subspace methods, such as the GMRES method, are used to accelerate convergence. To reduce computing time, inaccurate solution of subdomain problems is considered, which requires a different, GCR based, acceleration technique. Emphasis is put on the multiplicative domain decomposition algorithm since the authors also want an algorithm which is fast on a single processor. The prospects for parallel implementation are also investigated.