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| Mixed order discretization based two-level Schwarz preconditioners for a tracer transport problem on the cubed-sphere | |
| Yang, Haijian (1); Yang, Chao (2); Cai, Xiao-Chuan (4); Yang, C.(yangchao@iscas.ac.cn) | |
| 2014 | |
| Source | Computers and Fluids
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| ISSN | 457930 |
| English Abstract | Solving tracer transport problems on the sphere at high resolution is important for atmospheric science. In this paper, we study a fully implicit method that allows larger time step size than explicit methods. The key to the success of the implicit approach is how to solve the discretized linear system at each time step. We investigate a parallel Krylov-Schwarz approach based on two discretizations, and test the proposed algorithm with two benchmark test cases. We show numerically that the solver scales well in terms of both strong and weak scalabilities on a supercomputer with thousands of processors. © 2014 Elsevier Ltd. All rights reserved.; Solving tracer transport problems on the sphere at high resolution is important for atmospheric science. In this paper, we study a fully implicit method that allows larger time step size than explicit methods. The key to the success of the implicit approach is how to solve the discretized linear system at each time step. We investigate a parallel Krylov-Schwarz approach based on two discretizations, and test the proposed algorithm with two benchmark test cases. We show numerically that the solver scales well in terms of both strong and weak scalabilities on a supercomputer with thousands of processors. © 2014 Elsevier Ltd. All rights reserved. |
| Indexed Type | EI |
| Department | (1) College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China; (2) Institute of Software, Chinese Academy of Sciences, Beijing 100190, China; (3) State Key Laboratory of Computer Science, Chinese Academy of Sciences, Beijing 100190, China; (4) Department of Computer Science, University of Colorado Boulder, Boulder, CO 80309, USA |
| Language | 英语 |
| WOS ID | WOS:000350535100010 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/17023 |
| Collection | 中国科学院软件研究所 |
| Corresponding Author | Yang, C.(yangchao@iscas.ac.cn) |
| Recommended Citation GB/T 7714 | Yang, Haijian ,Yang, Chao ,Cai, Xiao-Chuan ,et al. Mixed order discretization based two-level Schwarz preconditioners for a tracer transport problem on the cubed-sphere[J]. Computers and Fluids,2014. |
| APA | Yang, Haijian ,Yang, Chao ,Cai, Xiao-Chuan ,&Yang, C..(2014).Mixed order discretization based two-level Schwarz preconditioners for a tracer transport problem on the cubed-sphere.Computers and Fluids. |
| MLA | Yang, Haijian ,et al."Mixed order discretization based two-level Schwarz preconditioners for a tracer transport problem on the cubed-sphere".Computers and Fluids (2014). |
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