Abstract
We employ renormalized viscosity to perform large eddy simulations (LESs) of decaying homogeneous and isotropic turbulence in a cubical domain. We perform a direct numerical simulation (DNS) on 5123 and 2563 grids and LES on 323, 643, and 1283 grids with the same initial conditions in the resolved scales for a flow with Taylor Reynolds number Reλ = 210. We observe good agreement between LES and DNS results for the temporal evolution of turbulence kinetic energy Eu(t), kinetic energy spectrum Eu(k), and kinetic energy flux Πu(k). Also, the large-scale structures of the flow in LES are similar to those in DNS. These results establish the suitability of our renormalized viscosity scheme for LES.
We thank Manohar Sharma, Syed Fahad Anwer, and Shashwat Bhattacharya for useful discussions. The simulations were performed on the HPC system, funded by DST, and Chaos cluster of IIT Kanpur, India. Some of our computations were also performed on Shaheen II at the KAUST Supercomputing Laboratory, Saudi Arabia, under the Project No. k1052. This work was supported by the research Grant No. PLANEX/PHY/2015239 from the Indian Space Research Organisation (ISRO), India.