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Earth system models are complex integrated models of atmosphere, ocean, seaice, and land surface. Coupling the components can be a significant challengedue to the difference in physics, temporal, and spatial scales. This studyexplores new coupling strategies for the fluid-fluid interaction problem basedon multirate partitioned Runge-Kutta methods. We consider compressibleNavier-Stokes equations with gravity coupled through a rigid-lid interface. Ourlarge-scale numerical experiments reveal that multirate partitioned Runge-Kuttacoupling schemes (1) can conserve total mass; (2) have second-order accuracy intime; and (3) provide favorable strong- and weak-scaling performance on moderncomputing architectures. We also show that the speedup factors of multiratepartitioned Runge-Kutta methods match theoretical expectations over their base(single-rate) method.

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