Mixed order discretization based two-level Schwarz preconditioners for a tracer transport problem on the cubed-sphere
Mixed order discretization based two-level Schwarz preconditioners for a tracer transport problem on the cubed-sphere
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DOI：
10.1016/j.compfluid.2014.05.002
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发表时间：
2015-03
影响因子：
2.8
通讯作者：
Haijian Yang;Chao Yang;X. Cai
中科院分区：
文献类型：
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作者：
Haijian Yang;Chao Yang;X. Cai
高分辨率解决球体上示踪剂输运问题对于大气科学非常重要。在本文中，我们研究了一个完全隐式方法，允许更大的时间步长比显式方法。隐式方法成功的关键是如何在每个时间步求解离散化的线性系统。我们研究了一个并行Krylov-Schwarz方法的基础上两个离散化，并测试所提出的算法与两个基准测试用例。我们数值求解器的规模以及在一个超级计算机上有数千个处理器的强和弱的可伸缩性。
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.