Stochastic Theory of Compressible Turbulent Fluid Transport
Abstract
We develope a stochastic model for the turbulent transport of passive scalars based on the Fokker-Plank equation for the probability density distribution of the displacements of infinitesimal fluid parcels in randon turbulent motion. Such a theory is the microscopic basis behind semiempirical models of turbulent diffusion, which apparently have only been developed for incompressible flow. Here we specifically develop the theory so that it applies to compressible flow. We apply it to the particular case of stratified mesoscale turbulent transport of tracers in the ocean, and we find that it generalizes the recent parameterization of Gent and McWilliams (JPO 20 150 (1990)).
- Publication:
-
AGU Spring Meeting Abstracts
- Pub Date:
- May 2005
- Bibcode:
- 2005AGUSMNG23A..05S
- Keywords:
-
- 3220 Nonlinear dynamics;
- 3367 Theoretical modeling;
- 3379 Turbulence;
- 4255 Numerical modeling;
- 4568 Turbulence;
- diffusion;
- and mixing processes