Separated Fluid Flows - Steady, Periodical and Transitional Regimes (Numerical Method, Results and Comparisons)

Abstract

The most part of phenomena taking place in the unsteady and transitional fluid flows around finite bodies is characterised by the existance of the large scale organized structures in them (laminar and turbulent boundary layers, free shear layers, near wake, Jets, etc.). Supposing that the dynamics of such structures is described by hydrodynamic equations without any turbulence models it is possible to use Navier-Stokes equations for the description of it’s behaviour in the boundary layer and in the near wake for unsteady and transitional flow regimes around finite body using special tranformatlon of coordinates. To do this it is necessary to constuct numerical method which possesses by some special properties. The finite difference scheme of method must be second order of accuracy in space variables, to possess by minimal scheme viscousity, to be workable in wide range of Reynolds numbers and to be monotonic.