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

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