Modeling Convection Diffusion with Exponential Upwinding

Humberto C. Godinez, Valipuram S. Manoranjan

Department of Mathematics, Washington State University, Pullman, USA.

DOI: 10.4236/am.2013.48A011                

Abstract

This paper shows the usefulness of the exponential upwinding technique in convection diffusion computations. In particular, it is demonstrated that, even when convection is dominant, if exponential upwinding is employed in conjunction with either the Jacobi or the Gauss-Seidel iteration process, one can obtain computed solutions that are accurate and free of unphysical oscillations

Keywords

Convection Dominated Diffusion; Exponential Upwinding; Iteration Matrix; Convergence; Spectral Radius

Conflicts of Interest

The authors declare no conflicts of interest.

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