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11:45
15 mins
A Unified Shell model for Buoyancy-Driven Turbulence
Abhishek Kumar, Mahendra K. Verma
Session: Atmospheric turbulence 1
Session starts: Tuesday 25 August, 10:30
Presentation starts: 11:45
Room: Room C

Abhishek Kumar (Department of Physics, Indian Institute of Technology Kanpur, Kanpur, 208016, India)
Mahendra K. Verma (Department of Physics, Indian Institute of Technology Kanpur, Kanpur, 208016, India)

Abstract:
We construct a unified shell model for stably stratified and convective turbulence. Shell model simulation of stably stratified flow in turbulent regime exhibit Bolgiano-Obukhbov (BO) scaling in which the kinetic energy spectrum varies as $k^{-11/5}$. However, simulation of convective turbulence shows Kolmogorov's spectrum. These results are consistent with the direct numerical simulations of Kumar {\em et al.} [Phys. Rev. E {\bf 90}, 023016 (2014)]. We also observe a dual scaling ($k^{-11/5}$ and $k^{-5/3}$) for a limited range of parameters in stably stratified flow.