a fully implicit domain decomposition algorithm for shallow water     equations on the cubed-sphere

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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
会议名称	10th Copper Mountain Conference on Iterative Methods
会议日期	APR 06-11,
会议地点	Copper Mt, CO
关键词	shallow water equations cubed-sphere fully implicit method domain decomposition Newton-Krylov-Schwarz parallel scalability
页码	418-438
英文摘要	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.
会议录	SIAM Journal on Scientific Computing
会议录出版者	SIAM JOURNAL ON SCIENTIFIC COMPUTING
会议录出版地	3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA
ISSN号	1064-8275
ISBN号	9780820000000
内容类型	会议论文
源URL	[http://124.16.136.157/handle/311060/8592]
专题	软件研究所_并行计算实验室 _会议论文
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]. 见:10th Copper Mountain Conference on Iterative Methods. Copper Mt, CO. APR 06-11,.