· V2-f TURBULENCE MODEL

Durbin (1991) proposed a noval physical approach to the near wall modelling by taking into account the effects of the wall via an elliptic equation. Unfortunately, the implementation of the model is related to the solution of a incorrect boundary value problem. A new much more robust modification of the model has been developed. The key idea of the new formulation is based on two changes of variables. The new model is suitable for industrial applications.

Laurence, D.R., Uribe, J.C., and Utyuzhnikov, S.V., “A robust formulation of the v2-f model”, Int. J. Flow, Turbulence and Combustion, 2004, V.73, N3, pp. 169-185.

· ROBIN-TYPE INTERFACE BOUNDARY CONDITIONS

A method of boundary conditions transfer has been developed [1]. The method allows one to transfer a boundary condition from a wall to some intermediate surface. The boundary condition on the intermediate surface always becomes of Robin-type. In the vicinity of the wall, the boundary condition can be treated as the generalized wall function. Meanwhile, one should note the method can also be used far from the wall in the framework of a domain decomposition method [1].

If a Dirichlet boundary condition is set for a function u on the wall, the interface boundary condition is formulated at point y^* (in the normal to the wall direction) as follows [1-3]:

1. Utyuzhnikov, S.V., “Some new approaches to building and implementation of wall-functions for modeling of near-wall turbulent flows”, Computers & Fluids, 2005, V.34, N7, pp. 771-784.

2. Utyuzhnikov, S.V., “Generalized wall-functions and their application for simulation of turbulent flows”, Int. J. Numerical Methods in Fluid, 2005, V. 47, N10-11, pp. 1323-1328.

3. Utyuzhnikov, S.V., “The Method of Boundary Condition Transfer in Application to Modeling Near-Wall Turbulent Flows”, Computers & Fluids, 2006, 35 (10): 1193-1204.