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Solving high Reynolds‐number viscous flows by the general BEM and domain decomposition method
Author(s) -
Wu Yongyan,
Liao Shijun
Publication year - 2004
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.786
Subject(s) - domain decomposition methods , laminar flow , reynolds number , boundary element method , domain (mathematical analysis) , computation , mathematics , stokes flow , flow (mathematics) , computational fluid dynamics , numerical analysis , decomposition , finite element method , mathematical analysis , mechanics , geometry , physics , algorithm , engineering , structural engineering , turbulence , ecology , biology
In this paper, the domain decomposition method (DDM) and the general boundary element method (GBEM) are applied to solve the laminar viscous flow in a driven square cavity, governed by the exact Navier–Stokes equations. The convergent numerical results at high Reynolds number Re = 7500 are obtained. We find that the DDM can considerably improve the efficiency of the GBEM, and that the combination of the domain decomposition techniques and the parallel computation can further greatly improve the efficiency of the GBEM. This verifies the great potential of the GBEM for strongly non‐linear problems in science and engineering. Copyright © 2004 John Wiley & Sons, Ltd.