Print Email Facebook Twitter A Hybrid Five-Point Finite Difference Scheme for Convection-Diffusion Equations Part of: ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics· list the conference papers Title A Hybrid Five-Point Finite Difference Scheme for Convection-Diffusion Equations Author Jing, H. Li, C. Zhou, B. Date 2006-09-08 Abstract In this paper, some five-point finite difference schemes for steady convection-diffusion problems are presented. To begin with, we use the finite volume method (FVM) to discretize the convection-diffusion equation. After that, we present two five-point difference schemes for the approximation of the first order derivatives on faces, one of which is central difference type scheme, the other is upwind difference type scheme. In both of the schemes, one node is always connected with its four neighbor nodes. As the central scheme is of fourth order accuracy, it is very accurate to employ for small Peclet numbers. But when Peclet number is large, the scheme can be unstable. In this case, the upwind scheme of third order accuracy is stable. As the upwind scheme can reflect the flow transportation, it can give stable numerical solution. Taking use the advantages of the above two schemes, we construct a hybrid scheme, which can be ap- plied not only for small Peclet numbers, but for large Peclet numbers. The new higher order difference scheme and the hybrid strategy might be extended to solve 2D and 3D fluid dynamics equations includ- ing Navier-Stokes equation. Some numerical examples are also presented to illustrate the discussion. Subject finite volume methodconvection-diffusion equationhybrid difference schemecentral difference schemeupwind difference scheme To reference this document use: http://resolver.tudelft.nl/uuid:ace056f8-73eb-458a-bf9c-5300e399f689 Part of collection Conference proceedings Document type conference paper Rights (c) 2006 Jing, H.; Li, C.; Zhou, B. Files PDF Jing.pdf 108.9 KB Close viewer /islandora/object/uuid:ace056f8-73eb-458a-bf9c-5300e399f689/datastream/OBJ/view