The residual-based variational multiscale formulation for the large eddy simulation of compressible flows

The residual-based variational multiscale formulation is applied to develop a large eddy simulation (LES) model for compressible flows. In addition, a mixed model, in which a deviatoric Smagorinsky subgrid stress term is added to the RBVM terms to better model the Reynolds stresses is proposed. These models, along with the dynamic Smagorinsky–Yoshizawa eddy diffusivity model are tested in predicting the decay of homogenous turbulence. For most relevant measures, it is observed that the RBVM models are more accurate than the dynamic Smagorinsky-type model.

► We apply the residual based variational multiscale formulation (RBVM) to the large eddy simulation of compressible flows.
► A mixed model based on RBVM is also proposed.
► We benchmark the performance of the LES models in predicting the decay of homogeneous turbulence.
► For most relevant measures, it is observed that the RBVM models are more accurate that the dynamic Smagorinsky-type model.