Flow-oriented difference scheme for multidimensional convection-diffusion equation

Authors

  • Desanka Radunović Faculty of Mathematics, Studentski trg 16, P.O.Box 550, 11000 Beograd, Yugoslavia Author

Keywords:

Finite difference scheme, convection-diffusion equation

Subjects:

65C20, 76R99

Abstract

In this paper one flow-oriented difference scheme for multidimensional convection-diffusion equation is constructed and analysed. The order of the accuracy is O(Δx2), except for convection dominant case when it decreased by one. The stability depends on the diffusion coefficient D, and for the square grid the stability condition is DΔt/Δx20.25. Some examples are presented to illustrate that the scheme is especially applicable for dominantly convection problems and problems with not enough smooth solutions.

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Published

1995-10-15