Review of turbulence modelling methods for single phase flows

The paper presents the overview of the approaches to the problem of mathematical turbulence modelling, which were developed up to now. The achievements and limitations of classical turbulence models, starting from the Bousinesq's concept of eddy viscosity, through algebraic prescriptions of mixing length to the modelling of differential transport equations have been discussed here. The probable future trends in this subject, which embrace the refinements and practical applicability of existing models have been considered to. The special emphasize has been put on the promissing idea of LES method, which may be treated as a temporary substitute for direct numerical solution of N-S equations.