期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 50, 期 3, 页码 1297-1319出版社
SIAM PUBLICATIONS
DOI: 10.1137/090773362
关键词
semi-implicit; fluid-fluid interaction; atmosphere-ocean; implicit-explicit method
资金
- NSF [DMS 0508260, 0810385]
- U.S. Department of Energy by Lawrence Livermore National Laboratory [DE-AC52-07NA27344, LLNL-JRNL-490264]
- Center for Nonlinear Analysis (CNA) under National Science Foundation [DMS-0635983]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [810385] Funding Source: National Science Foundation
A model of two incompressible Newtonian fluids coupled across a common interface is studied. The nonlinearity of the coupling condition exacerbates the problem of decoupling the fluid calculations in each subdomain, a natural parallelization strategy employed in current climate models. A specialized partitioned time stepping method is studied which decouples the discrete fluid equations without sacrificing stability and maintaining convergence. This is accomplished through explicit updating of the size of the jump in tangential velocities across the fluid-fluid interface by a geometric averaging of this data over the previous two time levels. A full numerical analysis is presented and computational tests are performed demonstrating the robustness of this method.
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