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- Title
Kolmogorov laws for stratified turbulence.
- Authors
Augier, Pierre; Galtier, Sébastien; Billant, Paul
- Abstract
Following the Kolmogorov technique, an exact relation for a vector third-order moment $\mathbi{J}$ is derived for three-dimensional incompressible stably stratified turbulence under the Boussinesq approximation. In the limit of a small Brunt–Väisälä frequency, isotropy may be assumed which allows us to find a generalized $4/ 3$-law. For strong stratification, we make the ansatz that $\mathbi{J}$ 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.
- Subjects
TURBULENCE; FLUID dynamics; KOLMOGOROV complexity; ANISOTROPY; CRYSTALLOGRAPHY
- Publication
Journal of Fluid Mechanics, 2012, Vol 709, p659
- ISSN
0022-1120
- Publication type
Article
- DOI
10.1017/jfm.2012.379