A Non-Linear k-.EPSILON. Model to Predict the Spatial Change of Turbulent Structures in Large Scale Vortices

Abstract

Flows with large scale vortices are often observed in many natural, geophysical as well as anthropogenic activities. In this study, the Stuart vortices having both the singular points (the vortex and saddle points) are considered to study the basic turbulent properties. Using a realizable non-linear κ-ε A model, the approximate solutions are derived and numerical simulations are carried out. Using the approximate solution, the values of model constants are tuned considering the predictability of turbulent structures at the vortex center. The numerical results prove the effectiveness of the approximate approach, and reveals that the model with the estimated constants is applicable to simulate large scale vortices. The spatial changes in the topological structures of turbulent energy and turbulent stresses are found compatible with the previous experimental results.