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

11 Citations (Scopus)

13 Downloads (Pure)

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

Bibliographical note

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.

Access to Document

10.1103/PhysRevE.91.043014

Post-PrintAccepted author manuscript, 705 KBLicence: CC BY-NC

http://www.mendeley.com/research/shell-model-buoyancydriven-turbulence

Fingerprint Dive into the research topics of 'Shell model for buoyancy-driven turbulence'. Together they form a unique fingerprint.

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

Cite this

@article{633c94f33adb4ce49955b43192b1f4fc,

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.}",

note = "Copyright {\textcopyright} 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.",

year = "2015",

month = apr,

day = "22",

doi = "10.1103/PhysRevE.91.043014",

language = "English",

volume = "91",

journal = "Physical Review E",

issn = "1539-3755",

publisher = "APS",

number = "4",

}

TY - JOUR

T1 - Shell model for buoyancy-driven turbulence

AU - Kumar, Abhishek

AU - Verma, Mahendra K.

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)].

U2 - 10.1103/PhysRevE.91.043014

DO - 10.1103/PhysRevE.91.043014

M3 - Article

VL - 91

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 4

M1 - 043014

ER -