IMPLEMENTATION OF A ONE-EQUATION TURBULENCE MODEL WITHIN A STABILIZED FINITE-ELEMENT FORMULATION OF A SYMMETRICAL ADVECTIVE-DIFFUSIVE SYSTEM

The success of stabilized finite element methods for symmetric advective-diffusive formulations of the laminar Navier-Stokes equations has motivated extension of these concepts to turbulent flows. A one-equation model which preserves the symmetry of the system's advective and diffusive matrices has been developed. This model is based on the work of Norris and Reynolds and utilizes a transport equation for the turbulent velocity scale q and an algebraic relation for the turbulent length scale l. From these two quantities, an eddy viscosity can be calculated. This model has been implemented by way of a Galerkin/least-squares finite element method. Solutions are presented which verify the good behavior of the formulation.