Large eddy simulations using renormalized viscosity

TL;DR

This paper demonstrates that using renormalized viscosity in large eddy simulations effectively captures turbulence dynamics, closely matching high-resolution DNS results for decaying homogeneous isotropic turbulence.

Contribution

The study introduces and validates the use of renormalized viscosity for LES, showing it produces results comparable to DNS on coarser grids.

Findings

LES with renormalized viscosity agrees well with DNS in energy evolution

Kinetic energy spectra and fluxes match closely between LES and DNS

Velocity isosurfaces are similar in LES and DNS

Abstract

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{Re}_{\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 ${\Pi_u(k)}$. 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.