Effects of modeled terms in the Reynolds-stress transport equations

摘要

A discussion of the origins and interpretation of various previously proposed models for the terms in the incompressible Reynolds-stress equation is given. It is hoped that the interpretations will provoke thoughts that will help in the future modeling of Reynolds-stress transport equations. Different forms of the closed Reynolds-stress equation have been solved numerically for the given mean velocity field of the wake flow behind a flat plate at a Reynolds number of 1000. A finite-difference/finite-volume collocation scheme was used to approximate the spatial derivatives, which were implemented in a time-marching scheme. The numerical time integration produced values for the six independent Reynolds-stress components, the turbulent kinetic energy decay rate, and the turbulent length scale for each of the models tried. The results of the different cases were compared and some conclusions were drawn on the effects of the various investigated modeled terms.