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Kolmogorov laws for stratified turbulence
(Ecole Polytech, CNRS, LadHyX, F-91128 Palaiseau, France)
2012 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 709, 659-670 p.Article in journal (Refereed) Published
Abstract [en]

Following the Kolmogorov technique, an exact relation for a vector third-order moment J is derived for three-dimensional incompressible stably stratified turbulence under the Boussinesq approximation. In the limit of a small Brunt-Vaisala frequency, isotropy may be assumed which allows us to find a generalized 4/3-law. For strong stratification, we make the ansatz that J is directed along axisymmetric surfaces parameterized by a scaling law relating horizontal and vertical coordinates. An integration of the exact relation under this hypothesis leads to a generalized Kolmogorov law which depends on the intensity of anisotropy parameterized by a single coefficient. By using a scaling relation between large horizontal and vertical length scales we fix this coefficient and propose a unique law.

Place, publisher, year, edition, pages
2012. Vol. 709, 659-670 p.
Keyword [en]
homogeneous turbulence, stratified flows, stratified turbulence
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-104996DOI: 10.1017/jfm.2012.379ISI: 000309720600026OAI: oai:DiVA.org:kth-104996DiVA: diva2:570003
Note

QC 20121116

Available from: 2012-11-16 Created: 2012-11-15 Last updated: 2017-12-07Bibliographically approved

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