Turbulence parameterization from gravity - fluid dynamics correspondence

Question

I`m looking for a nice introductary reference that explains how the turbulence coefficient or any kind of turbulence parameterization (in view of applications to atmospheric turbulence for example) can be derived from the gravity - fluid dynamics correspondance, such that even I can get it. I mean, if something like this exists ...

I`m basically quite familiar with the hydrodynamic part (NS equation, etc) of this correspondance whereas about the other side I feel a bit more shaky ...

I`m finally looking for a citable reference, but any "reasonable" source (slides of a talk, video, ect) that explains how a turbulenc coefficient / parameterization can be obtained would be welcome and appreciated.

Edit

To clarify what I mean, relevant papers for the topic are for example here, here, and jep this one linked to by Mitchell.

Comments

Perhaps I am not familiar enough with the topic, but what do you mean by "correspondence?" Are you asking about the phenomenology of turbulence in a fluid when a gravitational field is present (convection?), or about something else?

This post imported from StackExchange Physics at 2014-03-17 03:21 (UCT), posted by SE-user kleingordon

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@kleingordon see arxiv.org/abs/1107.5780

This post imported from StackExchange Physics at 2014-03-17 03:21 (UCT), posted by SE-user Mitchell Porter

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I`ve once seen the slides of a talk by Johanna Erdmenger, where she derived a turbulence coefficent, but I cant find it now and I`d like to have a citable paper about this ...

This post imported from StackExchange Physics at 2014-03-17 03:21 (UCT), posted by SE-user Dilaton

Answer 1

I assume you mean the critical exponents of the velocity correlation functions? First of all, I don't think they have been derived using fluid/gravity (this is a very difficult problem), at best the problem was mapped onto a different problem. There was a series of papers by Oz and others about incompressible (and compressible) Navier-Stokes some years ago, see for example http://arxiv.org/abs/0905.3638, http://arxiv.org/abs/0906.4999, http://arxiv.org/abs/0909.3574. There are also somewhat more handwaving efforts like http://arxiv.org/abs/1005.3254.

This post imported from StackExchange Physics at 2014-03-17 03:21 (UCT), posted by SE-user Thomas

Comments

Thanks Thomas, I will study these papers to see if they contain what I need.

This post imported from StackExchange Physics at 2014-03-17 03:21 (UCT), posted by SE-user Dilaton