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Keywords:

  • fluid-fluid interaction;
  • fluid-structure interaction;
  • implicit-explicit method;
  • ocean-atmosphere;
  • semi-implicit

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