Shell model for buoyancy-driven turbulence

Abhishek Kumar; Mahendra K. Verma

doi:10.1103/PhysRevE.91.043014

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 language	English
Article number	043014
Number of pages	6
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	91
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.91.043014
Publication status	Published - 22 Apr 2015

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Abhishek Kumar
- Research Centre for Fluid and Complex Systems - Assistant Professor
Person: Teaching and Research

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title = "Shell model for buoyancy-driven turbulence",

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{\textquoteright}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)].",

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N1 - Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

PY - 2015/4/22

Y1 - 2015/4/22

N2 - 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)].

AB - 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)].

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Shell model for buoyancy-driven turbulence

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Abhishek Kumar

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