Abstract

Abstract The development of the formation and vortex pairing process in a two‐dimensional shear flow and the associated passive scalar (mass concentration or energy) transport process was numerically simulated by using the Vortex‐in‐Cell (VIC) Method combined with the Upwind Finite Difference Method. The visualized temporal distributions of passive scalars resemble the vortex structures and the turbulent passive scalar fluxes showed a definite connection with the occurrence of entrainment during the formation and pairing interaction of large‐scale vortex structures. The profiles of spatial‐averaged passive scalar o, turbulent passive scalar fluxes, u'o’ and v'o’, turbulent diffusivity of mean‐squared scalar fluctuation, v'o‘ 2, mean‐squared turbulent passive scalar fluctuation, √o‘ 2, skewness, and flatness factor of the probability density function of scalar fluctuation o’ at three different times are calculated. With the lateral dimension scaled by the momentum thickness and the velocity scaled by the v...

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