Modelling of the Reynolds stress redistribution with a wall effect vector

The idea of the elliptic relaxation method of Durbin [1993. A Reynolds stress model for near-wall turbulence. J. Fluid Mech. 249, 465-498] is employed to construct a simpler and numerically more stable model for the Reynolds stress redistribution. The stress redistribution process in near-wall regions is modelled by using a vector which represents the wall effect. The vector is obtained by solving an elliptic equation with a simple wall boundary condition. The present model and Durbin's model are tested in five different flows of fundamental importance. The performance of the present model is comparable to that of the Durbin model with much less numerical effort.