Vortex Flows and Related Numerical Methods II
ESAIM: Proceedings,
Vol. 1, 1996, pp. 135-151
Viscous Diffusion of Vorticity Using the
Diffusion Velocity Concept
J.H. Strickland, S.N. Kempka and W.P. Wolfe
Engineering Sciences Center
Sandia National Laboratories
Albuquerque, NM 87185-0836, USA
Abstract
The primary purpose of this paper is to provide an evaluation of the
diffusion velocity concept with regard to its ability to predict the
diffusion of vorticity near moving walls as well as in unbounded
two-dimensional space. We also briefly outline a "bi-zonal" wall model
which utilizes the diffusion velocity concept and is compatible with vortex
methods. A primary goal of this model is to minimize the number of vortices
generated on the surface at each time step while achieving good resolution
of the vorticity field near the wall. We have generated results for an
initially square patch of vorticity in an unbounded domain, an impulsively
started flat plate, an oscillating flat plate, uniform flow over a
semi-infinite flat plate, and flow over a wedge. The simulations are found
to give excellent results when compared to classical solutions of these
problems.
Vortex Flows and Related
Numerical Methods II
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