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

Authors

  • Jeffrey M. Connors,

    Corresponding author
    1. Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, CA 94551
    • Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, CA 94551
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  • Jason S. Howell

    1. Department of Mathematics and Computer Science, Clarkson University, Potsdam, New York, 13699
    2. Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania, 15213-3890
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  • This work has been authored by a contractor of the U.S. Government under contract number DE-AC52-07NA27344. Accordingly, the U.S. Government retains a nonexclusive, royalty-free license to publish or reproduce the published form of this contribution, or allow others to do so, for U.S. Government purposes.

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

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