Abstract : 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.
Type de document :
Article dans une revue
Journal of Fluid Mechanics, Cambridge University Press (CUP), 2012, 709, pp.659-670. 〈10.1017/jfm.2012.379〉
https://hal-polytechnique.archives-ouvertes.fr/hal-00996508
Contributeur : Denis Roura
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Soumis le : jeudi 5 juin 2014 - 14:20:39
Dernière modification le : mercredi 25 avril 2018 - 10:45:03
Document(s) archivé(s) le : vendredi 5 septembre 2014 - 10:46:44
Pierre Augier, Sebastien Galtier, Paul Billant. Kolmogorov laws for stratified turbulence. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2012, 709, pp.659-670. 〈10.1017/jfm.2012.379〉. 〈hal-00996508〉
