A fluid‐fluid interaction method using decoupled subproblems and differing time steps

Abstract

Abstract A time stepping procedure is proposed for a coupled fluid model motivated by the dynamic core of the atmosphere‐ocean system. The method exploits properties of the atmosphere‐ocean system to obtain efficiency. The momentum equations for the two fluids may be solved in parallel with different time step sizes. Stability is maintained with large time steps via a balanced two‐way passing of momentum flux. Numerical tests are provided that demonstrate the efficiency of the method. Published 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2012