Abstract

This research aims at development of a three dimensional Lagrangian stochastic process model of a particle-pair for predicting the statistics of the scalar fluctuation diffusion field in a non -stationary homogeneous turbulence. In this paper, the three-dimensional stochastic particle-pair model for stationary homogeneous turbulence has been improved so that it is applicable to the non-stationary case. Main points of improvement are as follows; (1) The temporal Lagrangian variation of the velocity fluctuation scale σv is incorporated into the Ito's stochastic equation. (2) The effective sphere of the two-particle velocity correlation has been modeled. As a simple example to which this new model can be applied, the scalar fluctuation field of a point source plume in decaying grid-generated turbulence was simulated. The improved model gives a better prediction of the actual scalar fluctuation properties than stationary homogeneous models.

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