Validation of the rotation rate based Smagorinsky model for unconfined shear flow

The rotation rate based Smagorinsky model is a recently proposed subgrid-scale model by Ghorbaniasl et al. (Phys Fluid Mech, 2013) [1]. The model proposes a new efficient formula for calculating the classical Smagorinsky model coefficient. In this paper, validation of the model for unconfined shear flow is realised through a test case of a spatially developing free round jet at a Reynolds number of 2400. The results show good agreement between the rotation rate based Smagorinsky model and the dynamic Smagorinsky model, as well as between both models and reference data. It is observed that there is significant improvement in the computational efficiency of the rotation rate based Smagorinsky model, as compared to the dynamic Smagorinsky model.