The Coupling Method of Natural Boundary Element and Mixed Finite Element for Stationary Navier-Stokes Equation in Unbounded Domains
Dongjie Liu1, Dehao Yu2
Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444. China. Email: ldj@lsec. cc. ac. cn.
LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematical and System Sciences, the Chinese Academy of Sciences.
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.
Liu, D., Yu, D. (2008). The Coupling Method of Natural Boundary Element and Mixed Finite Element for Stationary Navier-Stokes Equation in Unbounded Domains. CMES-Computer Modeling in Engineering & Sciences, 37(3), 305–330. https://doi.org/10.3970/cmes.2008.037.305
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