Abstract

A turbulence model is proposed for the three-dimensional vortex blob method. This model employs a modified version of the core spreading method introduced by Leonard and Chua (1989) in the spirit of Smagorinsky type of eddy viscosity. The diffusion of vorticity by the molecular viscosity is represented by the core spreading whose rate is approximated by that of the rectilinear viscous vortex tube. The linear combination of the two viscosities yields a Lagrangean turbulence model which includes effects of Reynolds number. Each model is applied to an impulsively started round jet forced by two helical disturbances rotating in the counter directions. Vortical structures in the jet are compared among the models to show that the combined model can be a reasonable turbulence model.

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