New Results on the Realizability of Reynolds Stress Turbulence Closures

摘要

The realizability of Reynolds stress models in homogeneous turbulence iscritically assessed from a theoretical standpoint. It is proven that a well known second-order closure formulated by Shih and Lumley using the strong realizability constraints of Schumann is, in fact, not a realizable model. The problem arises from the failure to properly satisfy the necessary positive second time