Abstract
An assessment of the numerical dispersion (over- and undershoot) problem for the skew upwind finite difference scheme in practical flow simulation has been undertaken. In an earlier study by the authors, the skew upwind scheme was found to have the least amount of numerical diffusion. The scheme, howeve,r produced unacceptable dispersion in the solution. This study examines the unboundedness in the solution for three test cases and the use of bounding schemes to eliminate the oscillations. The three test cases are a two-dimensional jet, two parallel interacting streams, and transport of four scalar profiles. The bounding techniques used are simple bounding and flux corrected transport. A time-dependent two-dimensional explicit prediction procedure based on the marker and cell method is utilized. For pure convection flow, the study shows that the scheme consistently produces significant numerical dispersion for profiles that possess sharp discontinuity. The dispersion is less significant for other profiles. Bounding is found to be very effective in alleviating the problem. Simple bounding is found to be convenient, economical, and effective as compared to the other bounding scheme.
Published Version
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