Stochastic Turbulent Diffusion Model Considering Space Correlation.

Abstract

A stochastic model which is used for simulating the time evolution of material line stretching in homogeneous turbulence is developed. Although the present model is similar to the Lagrangian random flight model, turbulent velocity is calculated for the Eulerian grid points considering space correlation in addition to time correlation. Scales of turbulence are estimated from turbulent energy (k) and dissipation rate (e). Deformation of material line in two-dimensional homogeneous turbulence is simulated by using this model and the result shows that spatial scale of turbulence affects on the distortion of material line.