Authors

Abstract

Earth system models are composed of coupled components that separately model systems such as the global atmosphere,ocean, and land surface. While these components are well developed, coupling them in a single system can be a significantchallenge. Computational efficiency, accuracy, and stability are principal concerns. In this study we focus on these issues. Inparticular, implicitexplicit (IMEX) tight and loose coupling strategies are explored for handling different time scales. Fora simplified model for the airsea interaction problem, we consider coupled compressible NavierStokes equations with aninterface condition. Under the rigid-lid assumption, horizontal momentum and heat flux are exchanged through the interface.Several numerical experiments are presented to demonstrate the stability of the coupling schemes. We show both numericallyand theoretically that our IMEX coupling methods are mass conservative for a coupled compressible NavierStokes systemwith the rigid-lid condition