Skip to main content
U.S. flag

An official website of the United States government

Publication Date
20 September 2021

Parallel exponential time differencing methods for geophysical flow simulations



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.
Lan, Rihui, Wei Leng, Zhu Wang, Lili Ju, and Max Gunzburger. 2021. “Parallel Exponential Time Differencing Methods For Geophysical Flow Simulations”. Computer Methods In Applied Mechanics And Engineering 387: 114151. doi:10.1016/j.cma.2021.114151.
Funding Program Area(s)