Development and application of a new cubic low-Reynolds eddy-viscosity turbulence model

Abstract

A non-linear expression of the Reynolds stresses as function of the local strain rate and vorticity tensors is presented, with terms up to third order. Anisotropies in the normal Reynolds stresses, as well as the influence on turbulence from streamline curvature, rotation and/or swirl, are accounted for. The relationship is used in combination with a k — e model. The transport equation for the dissipation rate e differs from the 'standard' transport equation. A new lowReynolds source term is introduced and a model 'constant' is turned into a parameter, expressed in terms of dimensionless rate of strain and vorticity. The model has already been tested on a number of basic flows' . In this paper, some attention is given to the numerical solution procedure. Afterwards, results are shown for a turbulent piloted, non-premixed flame. It is illustrated that the influence from the applied turbulence model is more important than the used chemistry model for the test case under consideration. Results are compared to a linear k — e model and the shear stress transport model.