Jm. Herard, BASIC ANALYSIS OF SOME 2ND MOMENT CLOSURES .1. INCOMPRESSIBLE ISOTHERMAL TURBULENT FLOWS, Theoretical and computational fluid dynamics, 6(4), 1994, pp. 213-233
This work is devoted to the examination of the suitability of some sec
ond moment closures. The main result emerging is that there is a stron
g link between the realizability of the Reynolds stress closures and t
he hyperbolicity of the first-order differential system associated wit
h the general governing set of partial differential equations.