INVARIANT DISCRETIZATION OF THE KAPPA-EPSILON MODEL IN GENERAL COORDINATES FOR PREDICTION OF TURBULENT-FLOW IN COMPLICATED GEOMETRIES

An invariant formulation and finite volume discretization of the standard k-epsilon turbulence model in general curvilinear co-ordinates is presented. The k-epsilon model is implemented together with the incompressible Navier-Stokes equations on staggered grids with contravariant flux components as unknowns. A proof that k and epsilon are non-negative is given. Positive schemes in the implementation of the k-epsilon model are evaluated. Discretization of boundary conditions is considered. The numerical method is applied to a turbulent flow across a staggered tube bank.