TITLE:
Modeling Convection Diffusion with Exponential Upwinding
AUTHORS:
Humberto C. Godinez, Valipuram S. Manoranjan
KEYWORDS:
Convection Dominated Diffusion; Exponential Upwinding; Iteration Matrix; Convergence; Spectral Radius
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.8A,
July
25,
2013
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