Numerical study of two regularization models for simulating the turbulent flows

In this study two previously proposed regularization models employed for simulating turbulent fluid flows in large-eddy template are numerically assessed. Both of the Leray-αα and NS-αα subgrid scale models are under current investigation. For an accurate assessment of these differential models developed on the basis of regularizing the nonlinear convective terms, a dispersively very accurate upwinding scheme is proposed to approximate the regularized convective terms in non-staggered grids. These models are assessed through the calculation of the lid-driven cavity and backward facing step problems. We conclude from this study that application of the NS-αα model can get a solution having a better agreement with the classical Navier–Stokes solution which is computed in a four-time finer grids.

► Assess in details the two investigated subgrid turbulence models.
► Solve the renormalization model equations in non-staggered grids.
► Develop the combined compact advection scheme with the optimized wavenumber.