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Transport Phenomena in Thermal Engineering. Volume 2

ISBN:
1-56700-015-0 (Print)

IMPROVED KERNEL FUNCTIONS AND BOUNDARY CONDITION TREATMENT FOR THE VORTEX METHOD

Ji Zhang
University of New Brunswick, P.O. Box 4400, Fredericton, NB. E3B 5A3, CANADA

Esam M. A. Hussein
Laboratory for Threat Material Detection, Department of Mechanical Engineering, University of New Brunswick, Fredericton, New Brunswick, Canada E3B 5A3

Abstract

A modified vortex method, which is applicable to highly turbulent flows as well as viscous flows, is presented. A new kernel function is introduced so that the effect of a vortex declines with distance but increases with time. Both global and local effects of individual vortices on the velocity field are considered in the simulation. A zero-normal velocity component at a solid boundary is attained in the Monte Carlo simulation by introducing an anti-symmetrical image of the vortex around the boundary.