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a fully implicit domain decomposition algorithm for shallow water equations on the cubed-sphere
Yang Chao; Cao Jianwen; Cai Xiao-Chuan
2010
Conference Name10th Copper Mountain Conference on Iterative Methods
SourceSIAM Journal on Scientific Computing
Pages418-438
Conference DateAPR 06-11,
Conference PlaceCopper Mt, CO
Publish Place3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA
PublisherSIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN1064-8275
ISBN9780820000000
DepartmentYang, 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 AbstractPopular 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.
KeywordShallow Water Equations Cubed-sphere Fully Implicit Method Domain Decomposition Newton-krylov-schwarz Parallel Scalability
Content Type会议论文
URIhttp://ir.iscas.ac.cn/handle/311060/8592
Collection并行软件与计算科学实验室 
Recommended Citation
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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