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Title

Optimized Schwarz methods with an overset grid for the shallow-water equations: preliminary results

Authors
Qaddouri, Abdessamad
Laayouni, Lahcen
Côté, Jean
Published in Applied Numerical Mathematics. 2008, vol. 58, no. 4, p. 459-471
Abstract The overset grid nicknamed ``Yin-Yang'' grid is singularity free and has quasi-uniform grid spacing. It is composed of two identical latitude/longitude orthogonal grid panels that are combined to cover the sphere with partial overlap on their boundaries. The system of shallow-water equations (SWEs) is a hyperbolic system at the core of many models of the atmosphere. In this paper, the SWEs are solved on Yin-Yang grid by using an implicit semi-Lagrangian discretization on a staggered mesh. The resulting scalar elliptic equation is solved using a Schwarz-type domain decomposition method, known as optimized Schwarz method, which gives better performance than the classical Schwarz method by using specific Robin or higher-order transmission conditions.
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QADDOURI, Abdessamad et al. Optimized Schwarz methods with an overset grid for the shallow-water equations: preliminary results. In: Applied Numerical Mathematics, 2008, vol. 58, n° 4, p. 459-471. https://archive-ouverte.unige.ch/unige:6266

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Deposited on : 2010-04-20

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