| a fully implicit domain decomposition algorithm for shallow water equations on the cubed-sphere | |
| Yang Chao; Cao Jianwen; Cai Xiao-Chuan | |
| 2010 | |
| 会议名称 | 10th Copper Mountain Conference on Iterative Methods |
| 会议录名称 | SIAM Journal on Scientific Computing |
| 页码 | 418-438 |
| 会议日期 | APR 06-11, |
| 会议地点 | Copper Mt, CO |
| 出版地 | 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA |
| 出版者 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
| ISSN | 1064-8275 |
| ISBN | 9780820000000 |
| 部门归属 | Yang, Chao; Cao, Jianwen Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China. Cai, Xiao-Chuan Univ Colorado, Dept Comp Sci, Boulder, CO 80309 USA. |
| 摘要 | Popular approaches for solving shallow water equations (SWEs) for climate modeling are explicit and semiimplicit methods, and both have certain constraints on the time step size. In this paper, we propose and study a fully implicit method which imposes no limit on the time step size but requires the solution of a large sparse nonlinear system of equations at every time step. The focus of the paper is a parallel, fully coupled, Newton-Krylov-RAS algorithm with a Jacobian matrix explicitly calculated on a weakly nonmatching cubed-sphere mesh. Here, RAS is a restricted additive Schwarz method. We show numerically that with such a preconditioned, nonlinearly implicit method the time step size is no longer constrained by the CFL condition, and we report superlinear speedup of the algorithm on machines with thousands of processors for problems with smooth and nonsmooth solutions. |
| 关键词 | Shallow Water Equations Cubed-sphere Fully Implicit Method Domain Decomposition Newton-krylov-schwarz Parallel Scalability |
| 内容类型 | 会议论文 |
| URI标识 | http://ir.iscas.ac.cn/handle/311060/8592 |
| 专题 | 并行软件与计算科学实验室 |
| 推荐引用方式 GB/T 7714 | Yang Chao,Cao Jianwen,Cai Xiao-Chuan. a fully implicit domain decomposition algorithm for shallow water equations on the cubed-sphere[C]. 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA:SIAM JOURNAL ON SCIENTIFIC COMPUTING,2010:418-438. |
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