| Title: | a fully implicit domain decomposition algorithm for shallow water equations on the cubed-sphere |
| Author: | Yang Chao
; Cao Jianwen
; Cai Xiao-Chuan
|
| Source: | SIAM Journal on Scientific Computing
|
| Conference Name: | 10th Copper Mountain Conference on Iterative Methods
|
| Conference Date: | APR 06-11,
|
| Issued Date: | 2010
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| Conference Place: | Copper Mt, CO
|
| Keyword: | shallow water equations
; cubed-sphere
; fully implicit method
; domain decomposition
; Newton-Krylov-Schwarz
; parallel scalability
|
| Publisher: | SIAM JOURNAL ON SCIENTIFIC COMPUTING
|
| Publish Place: | 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA
|
| ISSN: | 1064-8275
|
| ISBN: | 9780820000000
|
| Department: | 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.
|
| English Abstract: | 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. |
| Content Type: | 会议论文
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| URI: | http://ir.iscas.ac.cn/handle/311060/8592
|
| Appears in Collections: | 并行计算实验室 _会议论文
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| a fully implicit domain decomposition algorithm for shallow water equations on the cubed-sphere.pdf（3838KB） | -- | -- | 限制开放 | -- | 联系获取全文 |
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| Recommended Citation: | |
Yang Chao,Cao Jianwen,Cai Xiao-Chuan. a fully implicit domain decomposition algorithm for shallow water equations on the cubed-sphere[C]. 见:10th Copper Mountain Conference on Iterative Methods. Copper Mt, CO. APR 06-11,.
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