en
Scientific article
Open access
English

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

Published inApplied numerical mathematics, vol. 58, no. 4, p. 459-471
Publication date2008
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.

Citation (ISO format)
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. doi: 10.1016/j.apnum.2007.01.015
Main files (1)
Article (Accepted version)
accessLevelPublic
Identifiers
ISSN of the journal0168-9274
600views
429downloads

Technical informations

Creation04/20/2010 10:10:05 AM
First validation04/20/2010 10:10:05 AM
Update time03/14/2023 3:27:55 PM
Status update03/14/2023 3:27:54 PM
Last indexation01/15/2024 7:52:29 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack