Shell model for buoyancy-driven turbulence

Kumar, Abhishek ; Verma, Mahendra K. (2015) Shell model for buoyancy-driven turbulence Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 91 (4). ISSN 1539-3755

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Official URL: http://doi.org/10.1103/PhysRevE.91.043014

Related URL: http://dx.doi.org/10.1103/PhysRevE.91.043014

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. We also observe a dual scaling (k−11/5 and k−5/3) for a limited range of parameters. The shell model of convective turbulence yields Kolmogorov'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 {\em et al.} [Phys. Rev. E {\bf 90}, 023016 (2014)].

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:118942
Deposited On:05 Jun 2021 04:47
Last Modified:05 Jun 2021 04:47

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