Large eddy simulations using renormalized viscosity

In this paper, we have used renormalized viscosity for performing large eddy simulations (LES) of decaying homogeneous and isotropic turbulence inside a periodic cube on coarse grids (${32}^3$, ${64}^3$ and ${128}^3$) at initial Taylor Reynolds number ${\mathrm{R}\mathrm{e}}_{\lambda }\approx 315$. The LES results were compared with direct numerical simulation (DNS) results on ${512}^3$ grid. We observe good agreement between LES and DNS results on the temporal evolution of turbulence kinetic energy $E(t)$, kinetic energy spectrum $E_u(k)$, kinetic energy flux ${\mathrm{\Pi }}_u(k)$. The isosurfaces of velocity magnitude at a given time are similar for DNS and LES. This establishes the suitability of using renormalized viscosity for performing large eddy simulations.