Title Compact second-order upwind finite difference schemes for the convection-diffusion equations
Authors Chen, Guoqian
Yang, Zhifeng
Affiliation Peking Univ, Beijing, China
Issue Date 1992
Publisher journal of hydrodynamics
Citation Journal of Hydrodynamics.1992,4,(4),32-42.
Abstract Compact second-order upwind finite difference schemes, which are free of cell Reynolds number limitation, were developed in this paper for 1D to 3D steady convection diffusion equations, using a perturbational technique applied to classical first-order upwind schemes. The present second-order schemes take essentially the same form as those of the first-order schemes, but involve a simple modification for the diffusive coefficients. Numerical examples including 1D to 3D model equations of fluid flow and a problem of natural convection with boundary-layer effect were given to illustrate the excellent behavior of the present schemes.
URI http://hdl.handle.net/20.500.11897/303131
ISSN 10016058
Indexed EI
Appears in Collections: 待认领

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