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Parallel exponential time differencing methods for geophysical flow simulations
Computer Methods in Applied Mechanics and Engineering ( IF 7.2 ) Pub Date : 2021-09-20 , DOI: 10.1016/j.cma.2021.114151
Rihui Lan 1 , Wei Leng 2 , Zhu Wang 1 , Lili Ju 1 , Max Gunzburger 3
Affiliation  

Two ocean models are considered for geophysical flow simulations: the multi-layer shallow water equations and the multi-layer primitive equations. For the former, we investigate the parallel performance of exponential time differencing (ETD) methods, including exponential Rosenbrock–Euler, ETD2wave, and B-ETD2wave. For the latter, we take advantage of the splitting of barotropic and baroclinic modes and propose a new two-level method in which an ETD method is applied to solve the fast barotropic mode. These methods could improve the computational efficiency of numerical simulations because ETD methods allow for much larger time step sizes than traditional explicit time-stepping techniques that are commonly used in existing computational ocean models. Several standard benchmark tests for ocean modeling are performed and comparison of the numerical results demonstrates a great potential of applying the parallel ETD methods for simulating real-world geophysical flows.



中文翻译:

用于地球物理流动模拟的并行指数时间差分方法

地球物理流模拟考虑了两种海洋模型:多层浅水方程和多层原始方程。对于前者,我们研究了并行性能指数时间差分 (ETD) 方法,包括指数 Rosenbrock-Euler、ETD2wave 和 B-ETD2wave。对于后者,我们利用正压模式和斜压模式的分裂,提出了一种新的两级方法,其中应用 ETD 方法来解决快速正压模式。这些方法可以提高数值模拟的计算效率,因为 ETD 方法允许比现有计算海洋模型中常用的传统显式时间步长技术大得多的时间步长。对海洋建模进行了几个标准基准测试,数值结果的比较表明应用并行 ETD 方法模拟现实世界地球物理流的巨大潜力。

更新日期:2021-09-20
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