Mass-Conserving Implicit-Explicit Methods for Coupled Compressible Navier-Stokes Equations

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 significant challenge. Computational efficiency, accuracy, and stability are principal concerns. In this study, we focus on these issues. In particular, implicit-explicit (IMEX) tight and loose coupling strategies are explored for handling different time scales. For a simplified model for the air-sea interaction problem, we consider coupled compressible Navier-Stokes equations with an interface 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 numerically and theoretically that our IMEX coupling methods are mass conservative for a coupled compressible Navier-Stokes system with the rigid-lid condition.

arXiv comment39 pages, 6 tables, 10 figures

References in corpus (7)

• E pur si muove: Galiliean-invariant cosmological hydrodynamical simulations on a moving mesh
• A Validated Nonlinear Kelvin-Helmholtz Benchmark for Numerical Hydrodynamics
• A critical analysis of some popular methods for the discretisation of the gradient operator in finite volume methods
• A Class of Multirate Infinitesimal GARK Methods
• High-order, linearly stable, partitioned solvers for general multiphysics problems based on implicit-explicit Runge-Kutta schemes
• Evaluation of Implicit-Explicit Additive Runge-Kutta Integrators for the HOMME-NH Dynamical Core
• Semi-Implicit Time Integration of Atmospheric Flows with Characteristic-Based Flux Partitioning