کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646317 | 1342101 | 2008 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Optimized Schwarz methods with an overset grid for the shallow-water equations: preliminary results Optimized Schwarz methods with an overset grid for the shallow-water equations: preliminary results](/preview/png/4646317.png)
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 the Yin–Yang grid by using an implicit and semi-Lagrangian discretization on a staggered mesh. The resulting scalar elliptic equation is solved using a Schwarz-type domain decomposition method, known as the optimized Schwarz method, which gives better performance than the classical Schwarz method by using specific Robin or higher order transmission conditions.
Journal: Applied Numerical Mathematics - Volume 58, Issue 4, April 2008, Pages 459-471