Open Access

ARTICLE

The Coupling Method of Natural Boundary Element and Mixed Finite Element for Stationary Navier-Stokes Equation in Unbounded Domains

Dongjie Liu¹, Dehao Yu²

1 Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444. China. Email: ldj@lsec. cc. ac. cn.
2 LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematical and System Sciences, the Chinese Academy of Sciences.

Computer Modeling in Engineering & Sciences 2008, 37(3), 305-330. https://doi.org/10.3970/cmes.2008.037.305

Abstract

The coupling method of natural boundary element and mixed finite element is applied to analyze the stationary Navier-Stokes equation in 2-D unbounded domains. After an artificial smooth boundary is introduced, the original nonlinear problem is reduced into an equivalent problem defined in bounded computational domain. The well-posedness of the reduced problem is proved. The finite element approximation of this problem is given, and numerical example is provided to show the feasibility and efficiency of the method.

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Keywords

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