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Schwarz domain decomposition for the incompressible Navier–Stokes equations in general co-ordinates by E. Brakkee; P. Wesseling; C. G. M. Kassels is a Engineering article available to read on EtoBox.

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This paper describes a domain decomposition method for the incompressible Navier -Stokes equations in general co-ordinates. Domain decomposition techniques are needed for solving flow problems in complicated geometries while retaining structured grids on each of the subdomains. This is the so-called block-structured approach. It enables the use of fast vectorized iterative methods on the subdomains. The Navier-Stokes equations are discretized on a staggered grid using finite volumes. The pressure-correction technique is used to solve the momentum equations together with incompressibility conditions. Schwarz domain decomposition is used to solve the momentum and pressure equations on the composite domain. Convergence of domain decomposition is accelerated by a GMRES Krylov subspace method. Computations are presented for a variety of flows.

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Author

E. Brakkee; P. Wesseling; C. G. M. Kassels

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 0271-2091)

Published

2000

Language

EN

Field

Engineering (Physical Sciences)