Study of the Geometry of Flow Patterns in Compressible Isotropic Turbulence

摘要

The geometry of flow patterns in numerically simulated compressible isotropic turbulent flows for high r.m.s. Mach numbers was studied using three-dimensional critical point theory. The solution trajectories for three first-order linear differential equations are used to classify the elementary three- dimensional flow patterns defined by instantaneous streamlines. Fluid motions characterized by high rates of kinetic energy dissipation and/or high enstrophy are of particular interest.