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

Research output: Contribution to journal › Article › peer-review

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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
- Faculty Research Centre in Fluid and Complex Systems - Assistant Professor
Person: Teaching and Research

Cite this

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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)].",

author = "Abhishek Kumar and Verma, {Mahendra K.}",

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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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