期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
卷 71, 期 1, 页码 41-64出版社
WILEY-BLACKWELL
DOI: 10.1002/fld.3646
关键词
discontinuous Galerkin; high performance computing; multirate time stepping; explicit Runge-Kutta; shallow water equations; Great Barrier Reef
类别
资金
- Belgian National Fund for Scientific Research (FNRS)
- Communaute Francaise de Belgique, as Actions de Recherche Concertees [ARC 10-15/028]
This paper presents multirate explicit time-stepping schemes for solving partial differential equations with discontinuous Galerkin elements in the framework of Large-scale marine flows. It addresses the variability of the local stable time steps by gathering the mesh elements in appropriate groups. The real challenge is to develop methods exhibiting mass conservation and consistency. Two multirate approaches, based on standard explicit RungeKutta methods, are analyzed. They are well suited and optimized for the discontinuous Galerkin framework. The significant speedups observed for the hydrodynamic application of the Great Barrier Reef confirm the theoretical expectations. Copyright (c) 2012 John Wiley & Sons, Ltd.
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