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

Autor:	Kang, Shinhoo, Dener, Alp, Hamilton, Aidan, Zhang, Hong, Constantinescu, Emil M., Jacob, Robert L.
Rok vydání:	2022
Předmět:	Mathematics - Numerical Analysis Physics - Computational Physics Physics - Fluid Dynamics 76N06 65M08 65L04
Druh dokumentu:	Working Paper
Popis:	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. Comment: 12 figures, 9 tables, 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.11890 Zobrazit plný text záznamu View this record from Arxiv