Kolmogorov laws for stratified turbulence
|Titre||Kolmogorov laws for stratified turbulence|
|Type de publication||Journal Article|
|Year of Publication||2012|
|Auteurs||Augier, P, Galtier, S, Billant, P|
|Journal||Journal of Fluid MechanicsJournal of Fluid Mechanics|
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.