A Comparison of Three Approaches to Compute the Effective Reynolds Number of the Implicit Large Eddy Simulations

Abstract

The implicit largeeddy simulation (ILES) has been utilized as an effective approach for calculating many complex flows at high Reynolds number flows. Richtmyer–Meshkov instability (RMI) induced flow can be viewed as a homogeneous decaying turbulence (HDT) after the passage of the shock. In this article, a critical evaluation of three methods for estimating the effective Reynolds number and the effective kinematic viscosity is undertaken utilizing highresolution ILES data. Effective Reynolds numbers based on the vorticity and dissipation rate, or the integral and innerviscous length scales, are found to be the most selfconsistent when compared to the expected phenomenology and wind tunnel experiments.