Second-Moment Modelling of Recirculating Flow with a Non-Orthogonal Collocated Finite-Volume Algorithm

Abstract

The incorporation of Reynolds-stress closure into a non-orthogonal, collocated finite-volume framework in which the discretisation of convection is non-diffusive, presents a number of algorithmic problems not encountered in more traditional schemes employing staggered, rectilinear volume arrangements. Three issues requiring special consideration are: the tensorially correct incorporation of the wall-related pressure-strain terms which are important fragments in the stress closure, boundary conditions at curved walls, and iterative stability. The first issue, in particular, arises because the wall-related terms are tied to the orientation of the wall relative to the directions of the Reynolds stresses. The paper reports practices which address all three problem areas. Four complex applications are presented, among them the flow through a sinusoidal pipe constriction and shock-induced separation over a channel bump.