Direct numerical simulation of differential scalar diffusion in three-dimensional stratified turbulence

Journal of Physical Oceanography

Volumn 33, Issue 8, 2003, Pages 1758-1782

  Gargett, Ann E ^a   Merryfield, William J ^b   Holloway, Greg ^c  

^a OLD DOMINION UNIVERSITY   (United States)

^b ENVIRONMENT CANADA   (Canada)

^c INSTITUTE OF OCEAN SCIENCES   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; REYNOLDS NUMBER; TURBULENCE;

TURBULENT TRANSPORT;

TURBULENT FLOW;

DIFFUSION; MIXING; SALINITY; STRATIFICATION; THREE-DIMENSIONAL MODELING; TURBULENT FLOW;

EID: 0038798307     PISSN: 00223670     EISSN: None     Source Type: Journal    
DOI: 10.1175/2403.1     Document Type: Article

References (51)

1. Batchelor, G. K., 1959: Small scale variation of convected quantities like temperature in turbulent fluid. J. Fluid Mech., 5, 113-133.
2. Bilger, R. W., and R. W. Dibble, 1982: Differential molecular diffusion effects in turbulent mixing. Combust. Sci. Technol., 28, 161-172.
3. Bogucki, D., J. A. Domaradzki, and P. K. Yeung, 1997: Direct numerical simulations of passive scalars with Pr > 1 advected by turbulent flows. J. Fluid Mech., 343, 111-130.
4. Canuto, C., M. Y. Hussaini, A. Quarteroni, and T. A. Zang, 1988: Spectral Methods in Fluid Mechanics. Springer, 567 pp.
5. Chandrasekhar, S., 1961: Hydrodynamic and Hydromagnetic Stability. Oxford University Press, 628 pp.
6. Dougherty, J. R., 1961: The anisotropy of turbulence at the meteor level. J. Atmos. Terr. Phys., 21, 210-213.
7. Fleury, M., and R. G. Lueck, 1994: Direct heat flux estimates using a towed vehicle. J. Phys. Oceanogr., 24, 801-818.
8. Gargett, A. E., 1985: Evolution of scalar spectra with the decay of turbulence in a stratified fluid. J. Fluid Mech., 159, 379-407.
9. Gargett, A. E., 1988: The scaling of turbulence in the presence of stable stratification. J. Geophys. Res., 93 (C5), 5021-5036.
10. Gargett, A. E., 2003: Differential diffusion: An oceanographic primer. Progress in Oceanography. Pergamon, Vol. 56, 559-570.
11. Gargett, A. E., and J. N. Moum, 1995: Mixing efficiencies in turbulent tidal fronts: Results from direct and indirect measurements of density flux. J. Phys. Oceanogr., 25, 2583-2608.
12. Gargett, A. E., T. R. Osborn, and P. W. Nasmyth, 1984: Local isotropy and the decay of turbulence in a stratified fluid. J. Fluid Mech., 144, 231-280.
13. Gerz, T., and U. Schumann, 1996: A possible explanation of countergradient fluxes in homogeneous turbulence. Theor. Comput. Fluid Dyn., 8, 169-181.
14. Gibson, C. H., 1980: Fossil turbulence, salinity, and vorticity turbulence in the ocean. Marine Turbulence, J. Nihoul, Ed., Vol. 29, Elsevier Oceanography Series, Elsevier, 221-257.
15. Glatzmaier, G. A., 1984: Numerical simulations of stellar convective dynamos. I. The model and method. J. Comput. Phys., 55, 464-484.
16. Grant, H. L., R. W. Stewart, and A. Moilliet, 1962: Turbulence spectra from a tidal channel. J. Fluid Mech., 12, 241-263.
17. Gregg, M. C., 1987: Diapycnal mixing in the thermocline: A review. J. Geophys. Res., 92 (C5), 5249-5286.
18. Hanazaki, H., and J. C. R. Hunt, 1996: Linear processes in unsteady stably stratified turbulence. J. Fluid Mech., 318, 303-337.
19. Holloway, G., 1988: The buoyancy flux from internal gravity wave breaking. Dyn. Atmos. Oceans, 12, 107-125.
20. Ivey, G. N., and J. Imberger, 1991: On the nature of turbulence in a stratified fluid. Part II: Application to lakes. J. Phys. Oceanogr., 21, 659-680.
21. Jackson, P. R., and C. R. Rehmann, 2003: Kinematic effects of differential transport on mixing efficiency in a diffusively stable, turbulent flow. J. Phys. Oceanogr., 33, 299-304.
22. Kerstein, A. R., 1988: A linear-eddy model of turbulent scalar transport and mixing. Combust. Sci. Technol., 60, 391-421.
23. Kerstein, A. R., 1990: Linear-eddy modelling of turbulent transport. Part 3. Mixing and differential molecular diffusion in round jets. J. Fluid Mech., 216, 411-435.
24. Kolmogoroff, A. N., 1941: The local structure of turbulence in an incompressible viscous fluid for very large Reynolds number. C.R. Acad. Sci. URSS, 30, 301-305.
25. Komori, S., and K. Nagata, 1996: Effects of molecular diffusivities on countergradient scalar and momentum transfer in strongly stable stratification. J. Fluid Mech., 326, 205-237.
26. Kraichnan, R. H., 1968: Small-scale structure of a scalar field convected by turbulence. Phys. Fluids, 11, 945-953.
27. Ledwell, J. R., and A. J. Watson. 1991: The Santa Monica Basin tracer experiment: A study of diapycnal and isopycnal mixing. J. Geophys. Res., 96 (C5), 8695-8718.
28. Lewis, M. R., E. Horne, J. J. Cullen, N. S. Oakey, and T. Platt, 1984: Turbulent motions may control phytoplankton photosynthesis in the upper ocean. Nature, 311, 49-50.
29. Merryfield, W. J., G. Holloway, and A. E. Gargett, 1998: Differential vertical transport of heat and salt by weak stratified turbulence. Geophys. Res, Lett., 25, 2773-2776.
30. Moffatt, H. K., 1978: Magnetic Field Generation in Electrically Conducting Fluids. Cambridge University Press, 343 pp.
31. Moum, J. N., 1990: Profiler measurements of vertical velocity fluctuations in the ocean. J. Atmos. Oceanic Technol., 7, 323-333.
32. Moum, J. N., 1996a: Efficiency of mixing in the main thermocline. J. Geophys. Res., 101 (C5), 12 057-12 069.
33. Moum, J. N., 1996b: Energy-containing scales of turbulence in the ocean thermocline. J. Geophys. Res., 101 (C6), 14 095-14 109.
34. Nash, J. D., and J. N. Moum, 2002: Microstructure estimates of turbulent salinity flux and the dissipation spectrum of salinity. J. Phys. Oceanogr., 32, 2312-2333.
35. Nasmyth, P. W., 1970: Oceanic turbulence. Ph.D. thesis., Institute of Oceanography. University of British Columbia, Vancouver, BC, Canada, 69 pp.
36. Oakey, N. S., 1982: Determination of the rate of dissipation of turbulent energy from simultaneous temperature and velocity shear microstructure measurements. J. Phys. Oceanogr., 12, 256-271.
37. Osborn, T. R., 1974: Vertical profiling of velocity microstructure. J. Phys. Oceanogr., 4, 109-115.
38. Osborn, T. R., 1980: Estimates of the local rate of vertical diffusion from dissipation measurements. J. Phys. Oceanogr, 10, 83-89.
39. Osborn, T. R., and C. S. Cox, 1972: Oceanic fine structure. Geuphys. Fluid Dyn., 3, 321-345.
40. Ozmidov, R. V., 1965: On the turbulent exchange in a stably stratified ocean. Izv. Acad. Sci. USSR, Atmos. Oceanic Phys., 8, 853-860.
41. Robert, A. J., 1966: The integration of a low order spectral form of the primitive meteorological equations. J. Meteor. Soc. Japan, 44, 237-244.
42. Siegel, D. A., and J. A. Domaradzki, 1994: Large-eddy simulation of decaying stably stratified turbulence. J. Phys. Oceanogr., 24, 2353-2386.
43. Smyth, W. D., 1999: Dissipation range geometry and scalar spectra in sheared stratified turbulence. J. Fluid Mech., 401, 209-242.
44. Smyth, W. D., J. N. Moum, and D. R. Caldwell, 2001: The efficiency of mixing in turbulent patches: Inferences from direct simulations and microstructure observations. J. Phys. Oceanogr., 31, 1969-1992.
45. Stillinger, D. C., K. N. Helland, and C. W. Van Atta, 1983: Experiments on the transition of homogeneous turbulence to internal waves in a stratified fluid. J. Fluid Mech., 131, 91-122.
46. St. Laurent, L., and R. W. Schmitt, 1999: The contribution of salt fingers to vertical mixing in the North Atlantic Tracer Release Experiment. J. Phys. Oceanogr., 29, 1404-1424.
47. Tennekes, H., and J. L. Lumley, 1972: A First Course in Turbulence. The MIT Press, 300 pp.
48. Thorpe, S. A., 1977: Turbulence and mixing in a Scottish loch. Philos. Trans. Roy. Soc. London, 286A, 125-181.
49. Turner, J. S., 1973: Buoyancy Effects in Fluids. Cambridge University Press, 367 pp.
50. Yeung, P. K., 1996: Multi-scale triadic interactions in differential diffusion with and without mean scalar gradients. J. Fluid Mech., 321, 235-278.
51. Yeung, P. K., and S. B. Pope, 1993: Differential diffusion of passive scalars in isotropic turbulence. Phys. Fluids, 5A, 2467-2478.