Shell model for buoyancy-driven turbulence

Abhishek Kumar, Mahendra K. Verma

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    Abstract

    In this paper we present a unified shell model for stably stratified and convective turbulence. Numerical simulation of this model for stably stratified flow shows Bolgiano-Obukhbov scaling in which the kinetic energy spectrum varies as k−11/5. The shell model of convective turbulence yieldsKolmogorov’s spectrum. These results are consistent with the energy flux and energy feed due to buoyancy, and are in good agreement with direct numerical simulations of Kumar et al. [Phys. Rev. E 90, 023016 (2014)].
    Original languageEnglish
    Article number043014
    Number of pages6
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume91
    Issue number4
    DOIs
    Publication statusPublished - 22 Apr 2015

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