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Schwarz domain decomposition for the incompressible Navier–Stokes equations in general co‐ordinates
Author(s) -
Brakkee E.,
Wesseling P.,
Kassels C. G. M.
Publication year - 2000
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(20000130)32:2<141::aid-fld877>3.0.co;2-2
Subject(s) - domain decomposition methods , schwarz alternating method , pressure correction method , discretization , krylov subspace , mathematics , navier–stokes equations , additive schwarz method , incompressible flow , generalized minimal residual method , domain (mathematical analysis) , computational fluid dynamics , convergence (economics) , flow (mathematics) , compressibility , iterative method , mathematical analysis , mathematical optimization , finite element method , geometry , physics , mechanics , thermodynamics , economics , economic growth
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. Copyright © 2000 John Wiley & Sons, Ltd.