Implementation of the anisotropic minimum-dissipation (AMD) sub-grid scale model in OpenFOAM and its evaluation in treating turbulent channel flow

“Minimum-dissipation sub-grid models” are simple alternatives to the Smagorinsky-type approaches to imposing sub-grid scales (SGS)' effects in the large-eddy simulation (LES) approach. Recently, a new model in this family called “anisotropic minimum-dissipation (AMD)” model is represented. AMD is classified as a static type eddy-viscosity sub-grid scale model. The model is more cost effective than the dynamic Smagorinsky model, furthermore; it is not only able to consider the effect of various directions in computing sub-grid stress but also capable of operating for transitional flows from laminar to turbulent. In this study, this sub-grid model has been implemented in the open source package OpenFOAM and its performance is evaluated in the prediction of the flow field inside a channel with a pressure driven air flow. The accuracy of the model has been investigated at different Reynolds numbers including transient and fully turbulent flows and compared with the dynamic Smagorinsky model as well as direct numerical simulation (DNS) solutions. Results reveal that this sub-grid model is quite accurate over a broad range of Reynolds numbers once calculating velocity profiles as well as first and second-order turbulent quantities.