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Volume 6, Issue 2
Numerical Solution of the Incompressible Navier-Stokes Equations with Singular Perturbation Considerations

Lan-Chieh Huang & Jian-Xiong Shen

J. Comp. Math., 6 (1988), pp. 175-192.

Published online: 1988-06

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  • Abstract

A numerical method for coarse grids is proposed for the numerical solution of the incompressible Navier-Stokes equations. From singular perturbation considerations, we obtain partial differential equations and boundary conditions for the outer solution and the boundary layer correction. The former problem is solved with the finite difference method and the latter with the approximate method. Numerical experiments show that accurate outer flow and boundary flux result with little computational effort.  

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@Article{JCM-6-175, author = {Huang , Lan-Chieh and Shen , Jian-Xiong}, title = {Numerical Solution of the Incompressible Navier-Stokes Equations with Singular Perturbation Considerations}, journal = {Journal of Computational Mathematics}, year = {1988}, volume = {6}, number = {2}, pages = {175--192}, abstract = {

A numerical method for coarse grids is proposed for the numerical solution of the incompressible Navier-Stokes equations. From singular perturbation considerations, we obtain partial differential equations and boundary conditions for the outer solution and the boundary layer correction. The former problem is solved with the finite difference method and the latter with the approximate method. Numerical experiments show that accurate outer flow and boundary flux result with little computational effort.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9509.html} }
TY - JOUR T1 - Numerical Solution of the Incompressible Navier-Stokes Equations with Singular Perturbation Considerations AU - Huang , Lan-Chieh AU - Shen , Jian-Xiong JO - Journal of Computational Mathematics VL - 2 SP - 175 EP - 192 PY - 1988 DA - 1988/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9509.html KW - AB -

A numerical method for coarse grids is proposed for the numerical solution of the incompressible Navier-Stokes equations. From singular perturbation considerations, we obtain partial differential equations and boundary conditions for the outer solution and the boundary layer correction. The former problem is solved with the finite difference method and the latter with the approximate method. Numerical experiments show that accurate outer flow and boundary flux result with little computational effort.  

Huang , Lan-Chieh and Shen , Jian-Xiong. (1988). Numerical Solution of the Incompressible Navier-Stokes Equations with Singular Perturbation Considerations. Journal of Computational Mathematics. 6 (2). 175-192. doi:
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