Dynamics of turbulence strongly influenced by buoyancy

Physics of Fluids

Volumn 15, Issue 7, 2003, Pages 2047-2059

  Riley, James J ^a   deBruynKops, Stephen M ^b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; REYNOLDS NUMBER; SHEAR STRESS;

FROUDE NUMBERS;

TURBULENT FLOW;

BUOYANCY; REYNOLDS NUMBER; STRATIFIED FLOW; TURBULENCE;

EID: 0041324687     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1578077     Document Type: Article

References (61)

1. O. Andreassen, P. O. Hvidsten, D. C. Fritts, and S. Arendt, "Vorticity dynamics in a breaking internal gravity wave. 1. Initial instability evolution," J. Fluid Mech. 367, 27 (1998).
2. M.-P. Lelong and T. J. Dunkerton, "Inertia-gravity wave breaking in three dimensions. I. Convectively stable waves," J. Atmos. Sci. 15, 2473 (1998).
3. M.-P. Lelong and T. J. Dunkerton, "Inertia-gravity wave breaking in three dimensions. II. Convectively unstable waves," J. Atmos. Sci. 15, 2489 (1998).
4. P. N. Lombard and J. J. Riley, "Instability and breakdown of internal gravity waves. I. Linear stability analysis," Phys. Fluids 8, 3271 (1996).
5. P. N. Lombard and J. J. Riley, "On the breakdown into turbulence of propagating internal waves," Dyn. Atmos. Oceans 23, 345 (1996).
6. P Bouruet-Aubertot, J. Sommeria, and C. Staquet, "Breaking of standing internal gravity waves through two-dimensional instabilities," J. Fluid Mech. 285, 265 (1995).
7. I. Orlanski and K. Bryan, "Formation of thermocline step structure by large-amplitude internal gravity waves," J. Geophys. Res. 74, 6975 (1969).
8. J. S. Turner, Buoyancy Effects in Fluids (Cambridge University Press, New York, 1973).
9. W. D. Smyth, "Dissipation-range geometry and scalar spectra in sheared stratified turbulence," J. Fluid Mech. 401, 209 (1999).
10. J. J. Riley and M.-P. Lelong, "Fluid motions in the presence of strong stable stratification, Annu. Rev. Fluid Mech. 32, 613 (2000).
11. G. R. Spedding, F. K. Browand, and A. M. Fincham, "The long-time evolution of the initially-turbulent wake of a sphere in a stable stratification," Dyn. Atmos. Oceans 23, 171 (1996).
12. G. R. Spedding, F. K. Browand, and A. M. Fincham, "Turbulence, similarity scaling and vortex geometry in the wake of a towed sphere in a stably stratified fluid," J. Fluid Mech. 314, 53 (1996).
13. J.-T. Lin and Y.-H. Pao, "Wakes in stratified fluids: A review," Annu. Rev. Fluid Mech. 11, 317 (1979).
14. J.-M. Chomaz, P. Bonneton, A. Butet, and E. J. Hopfinger, "Vertical diffusion of the far wake of a sphere moving in a stratified fluid," Phys. Fluids A 5, 2799 (1993).
15. M. Bonnier, O. Eif, and P. Bonneton, "On the density structure of farwake vortices in a stratified fluid," Dyn. Atmos. Oceans 31, 117 (2000).
16. M. Bonnier and O. Eiff, "Experimental investigation of the collapse of a turbulent wake in a stably stratified fluid," Phys. Fluids 14, 791 (2002).
17. J. B. Flór and G. J. F. van Heijst, "Experimental study of dipolar vortex structures in a stratified fluid," J. Fluid Mech. 279, 101 (1994).
18. S. I. Voropayev, Y. D. Afanasyev, and I. A. Filippov, "Horizontal jet and vortex dipoles in a stratified medium," J. Fluid Mech. 227, 543 (1991).
19. S. I. Voropayev, Z. Zhang, D. L. Boyer, H. J. S. Fernando, and C. W. Pok, "Horizontal jets in a rotating stratified fluid," Phys. Fluids 9, 115 (1997).
20. S. I. Voropayev, S. A. Smirnov, and A. Brandt, "Dipolar eddies in a stratified shear flow," Phys. Fluids 13, 3820 (2001).
21. R. R. Trieling and G. J. F. van Heijst, "Decay of monopolar vortices in a stratified fluid," Fluid Dyn. Res. 23, 735 (1998).
22. M. Beckers, R. Verzicco, H. J. H. Clercx, and G. J. F. van Hejst, "Dynamics of pancake-like vortices in a stratified fluid: Experiments, theory and numerical simulations," J. Fluid Mech. 433, 1 (2001).
23. M. Beckers M, H. J. H. Clerx, G. J. F. van Heijst, and R. Verzicco, "Dipole formation by two interacting shielded monopoles in a stratified fluid," Phys. Fluids 14,704 (2002).
24. A. M. Fincham, T. Maxworthy, and G. R. Spedding, "Energy dissipation and vortex structure in freely-decaying, stratified grid turbulence," Dyn. Atmos. Oceans 23, 155 (1996)
25. J. J. Riley, R. W. Metcalfe, and M. A. Weissman, "Direct numerical simulations of homogeneous turbulence in density stratified fluids," in Proceedings of the AIP Conference on Nonlinear Properties of Internal Waves (AIP, Woodbury, 1981), pp. 79-112.
26. J. C. McWilliams, "A uniformly valid model spanning the regimes of geostrophic and isotropic, stratified turbulence: balanced turbulence," J. Atmos. Sci. 42, 1773 (1985).
27. M.-P. Lelong and J. J. Riley, "Internal wave-vortical mode interactions in strongly stratified flows," J. Fluid Mech. 232, 1 (1991).
28. P. Bartello, "Geostrophic adjustment and inverse cascades in rotating stratified turbulence," J. Atmos. Sci. 52, 4410 (1995).
29. A. J. Majda and P. F. Embid, "Averaging over fast gravity waves for geophysical flows with unbalanced initial data," Theor. Comput. Fluid Dyn. 11, 155 (1998).
30. P. F. Embid and A. J. Majda, "Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity," Commun. Partial Differ. Equ. 21, 619 (1996).
31. T. Warn, "Statistical mechanical equilibria of the shallow water equations," Tellus. Ser. A 38A, 1 (1986).
32. R. Plougonven and V. Zeitlin, "Internal gravity wave emission from a pancake vortex: An example of wave-vortex interaction in strongly stratified flows," Phys. Fluids 14, 1259 (2002).
33. A. Babin, A. Mahalov, B. Nicolaenko, and Y. Zhou, "On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations," Theor. Comput. Fluid Dyn. 9, 223 (1997).
34. P. Bartello, "Potential vorticity, resonance and dissipation in rotating convective turbulence," Geophysical and Astrophysical Convection, edited by R. H. Kerr, P. Fox, and C.-H. Moeng (Gordon and Breach, New York, 1999).
35. F. S. Godeferd and C. Cambon. "Detailed investigation of energy transfers in homogeneous stratified turbulence," Phys. Fluids 6, 2084 (1994).
36. H. Hanazaki and J. C. R. Hunt, "Linear processes in unsteady, stably stratified turbulence," J. Fluid Mech. 318, 303 (1996).
37. J. R. Herring and O. Métais, "Numerical experiments in forced stably stratified turbulence," J. Fluid Mech. 202, 97 (1989).
38. O. Métais and J. R. Herring, "Numerical simulations of freely evolving turbulence in stably stratified fluids," J. Fluid Mech. 202, 117 (1989).
39. T. Gerz and H. Yamazaki, "Direct numerical simulations of buoyancy driven turbulence in stably stratified fluid." J. Fluid Mech. 249, 415 (1993).
40. D. Ramsden and G. Holloway, "Energy transfers across an internal wavevortical mode spectrum," J. Geophys. Res., (Oceans] 97, 3659 (1992).
41. T. Gerz, U. Schumann, and S. E. Elghobashi, "Direct numerical simulation of statified homogeneous turbulent shear flows," J. Fluid Mech. 200, 563 (1989).
42. S. E. Holt, J. R. Koseff, and J. H. Ferziger. "A numerical study of the evolution and structure of homogeneous stably stratified sheared turbulence." J. Fluid Mech. 237, 499 (1992).
43. F. G. Jacobitz, S. Sarkar, and C. W. van Atta, "Direct numerical simulations of the turbulence evolution in a uniformly sheared and stably stratified flow," J. Fluid Mech. 342, 231 (1997).
44. Y. Kimura and J. R. Herring, "Diffusion in stably-stratified turbulence." J. Fluid Mech. 328, 253 (1996).
45. M. J. Gourlay, S. C. Arendt, D. C. Fritts, and J. Werne, "Numerical modeling of initially turbulent wakes with net momentum," Phys. Fluids 13, 3783 (2001).
46. D. K. Lilly, "Stratified turbulence and the mesoscale variability of the atmosphere," J. Atmos. Sci. 40, 749 (1983).
47. P. Billant and J.-M. Chomaz, "Three-dimensional stability of a columnar vortex pair in a stratified fluid," J. Fluid Mech. 419, 65 (2000).
48. P. Billant and J.-M. Chomaz, "Self-similarity of strongly stratified inviscid flows," Phys. Fluids 13, 1645 (2001).
49. G. I. Taylor and A. E. Green, "Mechanisms of the production of small eddies from large ones," Proc. R. Soc. London, Ser. A 158, 499 (1937).
50. O. M. Phillips, The Dynamics of the Upper Ocean (Cambridge University Press, Cambridge, 1966).
51. C. Staquet and J. J. Riley, "On the velocity field associated with potential Vorticity," Dyn. Atmos. Oceans 14, 93 (1989).
52. M. E. Brachet, D. I. Meiron, S. A. Orszag, B. G. Nickel, R. H. Morf, and U. Frisch, "Small scale structure of the Taylor-Green vortex," J. Fluid Mech. 130, 411 (1983).
53. J. J. Riley, M.-P. Lelong, and D. N. Slinn, "Organized structures in strongly stratified flows," in Turbulence and Coherent Structures, edited by O. Métais and M. Lesieur (Kluwer Academic, Dordrecht, 1991), pp. 413-428.
54. S. A. Orszag and G. S. Patterson, Jr., "Numerical simulation of turbulence," in Statistical Models and Turbulence, edited by J. Ehlers, K. Hepp, and H. A. Weidenmüller (Springer, New York, 1972), pp. 127-147.
55. R. M. Kerr, "Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence," J. Fluid Mech. 153, 31 (1985).
56. G. K. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, 1953).
57. A. E. Gill, Atmosphere-Ocean Dynamics (Academic, New York, 1982).
58. W D. Smyth, J. N. Moum, and D. R. Caldwell, "The efficiency of mixing in turbulent patches: Inferences from direct simulations and microstructure observations," J. Phys. Oceanogr. 31, 1969 (2001).
59. C. Staquet, "Mixing in a stably-stratified shear layer: Two- and three-dimensional numerical experiments." Fluid Dyn. Res. 27, 367 (2000).
60. J. O. Hinze, Turbulence (McGraw-Hill, New York, 1975).
61. G. R. Spedding, "Vertical structure in stratified wakes at high initial Froude number," J. Fluid Mech. 454, 71 (2002).