Stochastic theory of compressible turbulent fluid transport

Physics of Fluids

Volumn 9, Issue 11, 1997, Pages 3523-3529

  Dukowicz, John K ^a   Smith, Richard D ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBLE FLOW; MATHEMATICAL MODELS; OCEANOGRAPHY; RANDOM PROCESSES; TURBULENCE; VELOCITY;

FOKKER-PLANCK EQUATION; MEAN VELOCITY; MESOSCALE OCEANIC TURBULENCE; TWO DIMENSIONAL;

TURBULENT FLOW;

EID: 0031280786     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869460     Document Type: Article

References (16)

1. J. O. Hinze, Turbulence, 2nd ed. (McGraw-Hill, New York, 1975), pp. 48-55.
2. G. I. Taylor, "Diffusion by continuous movements," Proc. London Math. Soc. 20, 196 (1921).
3. J. Kampé de Fériet, "Stationary contingent functions and the statistical theory of homogeneous turbulence," Ann. Soc. Sci. Bruxelles, Ser. I 59, 145 (1939).
4. W. D. McComb, The Physics of Fluid Turbulence (Oxford University Press, Oxford, England, 1990), pp. 436-459.
5. C. W. Gardiner, Handbook of Stochastic Methods (Springer-Verlag, Berlin, 1983), pp. 43-66.
6. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics: Mechanics of Turbulence (The MIT Press, Cambridge, MA, 1971), Vol. 1, pp. 527-614.
7. H. van Dop, F. T. M. Nieuwstadt, and J. C. R. Hunt, "Random walk models for particle displacements in inhomogeneous unsteady turbulent flows," Phys. Fluids 28, 1639 (1985).
8. D. J. Thomson, "Criteria for the selection of stochastic models of particle trajectories in turbulent flows," J. Fluid Mech. 180, 529 (1987).
9. M. C. Wang and G. E. Uhlenbeck, "On the theory of the Brownian Motion II," Rev. Mod. Phys. 17, 323 (1945).
10. A. Fevre, "Equations des gaz turbulent compressibles," J. Mécan. 4, 361 (1965).
11. C. G. Speziale, "Modeling of turbulent transport equations," in Simulations and Modeling of Turbulent Flows, edited by T. B. Gatski, M. Y. Hussaini, and J. L. Lumley (Oxford University Press, Oxford, England, 1996), p. 224.
12. R. A. de Szocke and A. F. Bennett, "Microstructure fluxes across density surfaces," J. Phys. Oceanogr. 23, 2254 (1993).
13. P. R. Gent, J. Willebrand, T. J. McDougall, and J. C. McWilliams, "Parameterizing eddy-induced tracer transports in ocean circulation models," J. Phys. Oceanogr. 25, 463 (1995).
14. Gent et al. (Ref. 13) ascribe the earliest use of this term to P. B. Rhines.
15. P. R. Gent and J. C. McWilliams, "Isopycnal mixing in ocean circulation models," J. Phys. Oceanogr. 20, 150 (1990).
16. G. Danabasoglu, J. C. McWilliams, and P. R. Gent, "The role of mesoscale tracer transports in the global ocean circulation," Science 264, 1123 (1994).