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arXiv · 2202.11890

Multirate Partitioned Runge-Kutta Methods for Coupled Navier-Stokes Equations

Shinhoo Kang·Alp Dener·Aidan Hamilton·Hong Zhang·Emil M. Constantinescu·Robert L. Jacob
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Abstract

Earth system models are complex integrated models of atmosphere, ocean, sea ice, and land surface. Coupling the components can be a significant challenge due to the difference in physics, temporal, and spatial scales. This study explores new coupling strategies for the fluid-fluid interaction problem based on multirate partitioned Runge-Kutta methods. We consider compressible Navier-Stokes equations with gravity coupled through a rigid-lid interface. Our large-scale numerical experiments reveal that multirate partitioned Runge-Kutta coupling schemes (1) can conserve total mass; (2) have second-order accuracy in time; and (3) provide favorable strong- and weak-scaling performance on modern computing architectures. We also show that the speedup factors of multirate partitioned Runge-Kutta methods match theoretical expectations over their base (single-rate) method.

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math.NAcs.NAphysics.comp-phphysics.flu-dyn

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Shinhoo Kang, Alp Dener, Aidan Hamilton, Hong Zhang, Emil M. Constantinescu, Robert L. Jacob. 2023-04-10. Multirate Partitioned Runge-Kutta Methods for Coupled Navier-Stokes Equations. https://arxiv.org/abs/2202.11890

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