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 |