Modeling anisotropic turbulence with Rapid Distortion Theory

Rapid Distortion Theory (RDT) describes how a turbulent flow changes under a sudden large scale geometric deformation. Under the assumption of rapid distortion, the flow field follows a simplified dynamics. In this project we develop numerical schemes to model isotropic turbulence undergoing a sudden shear under the RDT framework. We pay attention to the stability of the numerical method and justify our results with known RDT properties. This project is at the inital stage of researching shear flows, and we will present primary results. We expect to expand our investigations to particle dynamics in such flows in the next stage.