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| scalability studies of an implicit shallow water solver for the rossby-haurwitz problem | |
| Yang Chao; Cai Xiao-Chuan | |
| 2011 | |
| Conference Name | 9th International Conference on High Performance Computing for Computational Science, VECPAR 2010 |
| Source | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
| Pages | 172-184 |
| Conference Date | 22-Jun-02 |
| Conference Place | Berkeley, CA, United states |
| Publish Place | Germany |
| ISSN | 3029743 |
| ISBN | 9783642193279 |
| Department | (1) Institute of Software, Chinese Academy of Sciences, Beijing 100190, China; (2) Department of Computer Science, University of Colorado, Boulder, CO 80309, United States |
| English Abstract | The scalability of a fully implicit global shallow water solver is studied in this paper. In the solver a conservative second-order finite volume scheme is used to discretize the shallow water equations on a cubed-sphere mesh which is free of pole-singularities. Instead of using the popular explicit or semi-implicit methods in climate modeling, we employ a fully implicit method so that the restrictions on the time step size can be greatly relaxed. Newton-Krylov-Schwarz method is then used to solve the nonlinear system of equations at each time step. Within each Newton iteration, the linear Jacobian system is solved by using a Krylov subspace method preconditioned with a Schwarz method. To further improve the scalability of the algorithm, we use multilevel hybrid Schwarz preconditioner to suppress the increase of the iteration number as the mesh is refined or more processors are used. We show by numerical experiments on the Rossby-Haurwitz problem that the fully implicit solver scales well to thousands of processors on an IBM BlueGene/L supercomputer. © 2011 Springer-Verlag Berlin Heidelberg. |
| Keyword | Computer Software Selection And Evaluation Iterative Methods Scalability Spheres Supercomputers |
| Sponsorship | Allinea Software; Meyer Sound Laboratories Inc.; ParaTools Inc.; Lawrence National Berkeley Laboratory; Universidade do Porto |
| Content Type | 会议论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/14237 |
| Collection | 并行软件与计算科学实验室 |
| Recommended Citation GB/T 7714 | Yang Chao,Cai Xiao-Chuan. scalability studies of an implicit shallow water solver for the rossby-haurwitz problem[C]. Germany,2011:172-184. |
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| scalability studies （905KB） | 开放获取 | -- | Application Full Text | |||
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