Numerical Solution of the Incompressible Navier-Stokes Equations with Singular Perturbation Considerations

Numerical Solution of the Incompressible Navier-Stokes Equations with Singular Perturbation Considerations

Year:    1988

Author:    Lan-Chieh Huang, Jian-Xiong Shen

Journal of Computational Mathematics, Vol. 6 (1988), Iss. 2 : pp. 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.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1988-JCM-9509

Journal of Computational Mathematics, Vol. 6 (1988), Iss. 2 : pp. 175–192

Published online:    1988-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:   

Author Details

Lan-Chieh Huang

Jian-Xiong Shen