☆ 4.5 Article

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

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2012)

Journal

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Volume 28, Issue 4, Pages 1283-1308

Publisher

WILEY

DOI: 10.1002/num.20681

Keywords

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

Categories

Mathematics, Applied

Funding

U.S. Government [DE-AC52-07NA27344]
U.S. Department of Energy by Lawrence Livermore National Laboratory [DE-AC52-07NA27344, LLNL-JRNL-461451]
NSF [DMS 0508260, 0810385]
Center for Nonlinear Analysis (CNA), National Science Foundation [DMS 0635983]
Division Of Mathematical Sciences
Direct For Mathematical & Physical Scien [810385] Funding Source: National Science Foundation

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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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