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Schwarz domain decomposition for the incompressible Navier–Stokes equations in general co-ordinates

✍ Scribed by E. Brakkee; P. Wesseling; C. G. M. Kassels

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
385 KB
Volume
32
Category
Article
ISSN
0271-2091

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

Domain decomposition for the incompressi
Domain decomposition for the incompressible Navier–Stokes equations: solving subdomain problems accurately and inaccurately
✍ E. Brakkee; C. Vuik; P. Wesseling 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 207 KB 👁 1 views

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 amoun