Pressure hessian evolution in compressible turbulence

Abstract

The pressure Hessian tensor plays a crucial role on the dynamics of velocity gradient tensor. Therefore, understanding the evolution mechanism of pressure Hessian in compressible turbulence is of much interest. Using the results of direct numerical simulation (DNS) of compressible decaying isotropic turbulence, we present the complete budget of pressure Hessian evolution equation. The relative significance of various mechanisms responsible for pressure Hessian evolution is closely examined. This study is expected to directly contribute toward the development of improved closure models for the Lagrangian stochastic method.