Large eddy simulations using renormalized viscosity

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.

arXiv comment13 pages with 6 figures

Cited by in corpus (1)

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