A conjecture relating oceanic internal waves and small‐scale processes

References

• Batchelor , G.K. 1959 . Small‐scale variation of converted quantities like temperature in turbulent fluid. Part 1. General discussion and the case of small conductivity . J. Fluid Mech. , 5 : 113 – 133 .
   Web of Science ®Google Scholar
• Benney , D.I. and Saffman , P.G. 1966 . Nonlinear interactions of random waves in a dispersive medium . Proc. R. Soc. Lon. , A289 : 301 – 320 .
   Google Scholar
• Bolgiano , R. 1959 . Turbulent spectra in a stably stratified atmosphere . J. Geophys. Res. , 64 : 2226 – 2229 .
   Web of Science ®Google Scholar
• Carnevale , G.F. and Fredericksen , J.S. in press . A statistical dynamical theory of strongly nonlinear internal gravity waves . Geophys. Astrophys. Fluid Dyn. ,
   Google Scholar
• Corrsin , S. 1951 . On the spectrum of isotropic temperature fluctuations in isotropic turbulence . J. Appl. Phys. , 22 : 469 – 476 .
   Web of Science ®Google Scholar
• Dewitt , R.J. and Wright , J. 1982 . Self‐consistent effective‐medium theory of random internal waves . J. Fluid Mech. , 115 : 283 – 302 .
   Google Scholar
• Dillon , T.M. 1982 . The energetics of overturning structures: Implications for the theory of fossil turbulence , Corvallis, Ore. : School of Oceanography, Oregon State University . Unpubl. manuscr.
   Google Scholar
• Dougherty , J.P. 1961 . The anisotropy of turbulence at the meteor level . J. Atmos. Terr. Phys. , 21 : 210 – 213 .
   Google Scholar
• Ellison , T.H. 1957 . Turbulent transport of heat and momentum from an infinite rough plane . J. Fluid Mech. , 2 : 456 – 466 .
   Web of Science ®Google Scholar
• Carrett , C.J.R. and Munk , W.H. 1972 . Space‐time scales of internal waves . Geophys. Fluid Dyn. , 3 : 225 – 264 .
   Google Scholar
• _____ and _____ . 1975 . Space‐time scales of internal waves: A progress report . J. Geophys. Res. , 80 : 291 – 297 .
   Google Scholar
• Gargett , A.E. and Osborn , T.R. 1981 . Small‐scale shear measurements during the Fine and Microstructure Experiment (FAME) . J. Geophys. Res. , 86 : 1929 – 1944 .
   Web of Science ®Google Scholar
• _____ , Hendricks , P.J. , Sanford , T.B. , Osborn , T.R. and Williams RA. , A.J. 1981 . A composite spectrum of vertical shear in the upper ocean . J. Phys. Oceanogr. , 11 : 1258 – 1271 .
   Google Scholar
• _____ . 1982 . A parameterization of vertical eddy diffusion in the ocean interior , Sidney, B.C. : Institute of Ocean Sciences . Unpubl. manuscr.
   Google Scholar
• _____ and Holloway , G. 1982 . Dissipation and diffusion by internal wave breaking , Sidney, B.C. : Institute of Ocean Sciences . Unpubl. manuscr.
   Google Scholar
• Gibson , C.H. 1968 . Fine structure of scalar fields mixed by turbulence. I. Zero‐gradient points and minimal gradient surfaces . Phys. Fluids , 11 : 2305 – 2315 .
   Web of Science ®Google Scholar
• _____ . 1980 . “ Fossil temperature, salinity and vorticity turbulence in the ocean ” . In Marine Turbulence , Edited by: Nihoul , J. Amsterdam : Elsevier .
   Google Scholar
• _____ . 1982 . Internal waves, fossil turbulence, and composite ocean microstructure spectra , La Jolla, Calif. : Scripps Institution of Oceanography . Unpubl. manuscr.
   Google Scholar
• Gregg , M.C. 1977 . A comparison of fine‐structure spectra from the main thermocline . J. Phys. Oceanogr. , 7 : 33 – 40 .
   Google Scholar
• Hasselmann , K. 1962 . On the non‐linear energy transfer in a gravity‐wave spectrum. Part 1. General theory . J. Fluid Mech. , 12 : 481 – 500 .
   Web of Science ®Google Scholar
• Henyey , F.S. and Pomphrey , N. 1982 . Eikonal description of internal wave interactions: A non‐diffusive picture of “induced diffusion”. Rep , La Jolla, Calif. : La Jolla Institute .
   Google Scholar
• Heisenberg , W. 1948 . Zur statistischen Theorie der Turbulenz. Z . Phys. , 124 : 628 – 641 .
   Google Scholar
• Holloway , G. and Hendershott , M.C. 1977 . Stochastic closure for nonlinear Rossby waves . J. FluidMech. , 82 : 747 – 765 .
   Web of Science ®Google Scholar
• _____ . 1979 . On the spectral evolution of strongly interacting waves . Geophys. Astrophys. Fluid Dyn. , 11 : 271 – 287 .
   Google Scholar
• _____ . 1980 . Oceanic internal waves are not weak waves . J. Phys. Oceanogr. , 10 : 906 – 914 .
   Google Scholar
• _____ . 1981 . “ Theoretical approaches to interactions among internal waves, turbulence and fine‐structure ” . In Nonlinear Properties of Internal Waves , Edited by: West , B. 47 – 77 . Amer. Inst. Physics .
   Google Scholar
• _____ . 1982 . On interaction time scales of oceanic internal waves . J. Phys. Oceanogr , 12 : 293 – 296 .
   Google Scholar
• Jenkins , W.J. 1980 . Tritium and 3He in the Sargasso Sea . J. Mar. Res. , 38 : 533 – 569 .
   Web of Science ®Google Scholar
• Kadomtsev , B.B. 1965 . Plasma Turbulence , New York : Academic Press .
   Google Scholar
• Kolmogorov , A.N. 1941 . The local structure of turbulence in an incompressible viscous fluid for very large Reynolds numbers . C.R. Akad. Nauk., SSSR , 30 : 301 – 305 .
   Google Scholar
• Kovasnay , L.S.G. 1948 . Spectrum of locally isotropic turbulence . J. Aeronaut. Sci. , 15 : 745 – 763 .
   Google Scholar
• Kraichnan , R.H. 1971 . An almost‐Markovian Galilean‐invariant turbulence model . J. Fluid Mech. , 47 : 513 – 524 .
   Web of Science ®Google Scholar
• Leith , C.E. 1967 . Diffusion approximation to inertial energy transfer in isotropic turbulence . Phys. Fluids , 10 : 1409 – 1416 .
   Web of Science ®Google Scholar
• Lumley , J.L. 1964 . The spectrum of nearly inertial turbulence in a stably stratified fluid . J. Atmos. Sci. , 21 : 99 – 102 .
   Web of Science ®Google Scholar
• _____ . 1965 . “ Theoretical aspects of research on turbulence in stratified flows ” . In Atmospheric Turbulence and Radio Wave Propagation Edited by: Yaglom , A. M. and Tatarsky , V.I. 105 – 110 . Moscow
   Google Scholar
• Mccomas , C.H. and Bretherton , F.P. 1977 . Resonant interaction of oceanic internal waves . J. Geophys. Res. , 83 : 1397 – 1412 .
   Google Scholar
• _____ and Müller , P. 1981a . Time scales of resonant interaction among oceanic internal waves . J. Phys. Oceanogr. , 11 : 139 – 147 .
   Google Scholar
• _____ and _____ . 1981b . The dynamic balance of internal waves . J. Phys. Oceanogr. , 11 : 970 – 986 .
   Google Scholar
• Meiss , J.D. and Watson , K.M. 1982 . Internal wave interactions in the induced diffusion approximation . J. Fluid Mech. , submitted.
   Google Scholar
• Monin , A.S. 1962 . Turbulence spectrum in a thermally stratified atmosphere . Izv. Akad. Nauk. SSSR, Ser. Geofis. , 3 : 397 – 407 .
   Google Scholar
• Munk , W.H. 1981 . “ Internal waves and small‐scale processes ” . In Evolution of Physical Oceanography , Edited by: Warren , B.A. and Wunsch , C. 264 – 291 . MIT Press .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Obukhov , A.M. 1949 . Structure of the temperature field in turbulent flows . Izv. Geogr. Geophys. Ser. , 13 : 58 – 69 .
   Google Scholar
• Olbers , D.J. 1976 . Nonlinear energy transfer and the energy balance of the internal wave field in the deep ocean . J. Fluid Mech. , 74 : 375 – 399 .
   Google Scholar
• Onsager , L. 1949 . Statistical hydrodynamics . Nuovo Cim. Suppl. , 6 : 279 – 287 .
   Google Scholar
• Osborn , T.R. 1980 . Estimates of the local rate of vertical diffusion from dissipation measurements . J. Phys. Oceanogr. , 10 : 83 – 89 .
   Web of Science ®Google Scholar
• _____ and Cox , C.S. 1972 . Oceanic fine structure . Geophys. Fluid Dyn. , 3 : 321 – 345 .
   Google Scholar
• Phillips , O.M. 1965 . “ On the Bolgiano and Lumley‐Shur theories of the buoyancy subrange ” . In Atmospheric Turbulence and Radio Wave Propagation Edited by: Yaglom , A.M. and Tatarsky , V.I. Moscow
   Google Scholar
• Pomphrey , N. , Meiss , J.D. and Watson , K.M. 1980 . Description of nonlinear internal wave interactions by Langevin methods . J. Geophys. Res. , 85 : 1085 – 1094 .
   Google Scholar
• Rhines , P.B. 1975 . Waves and turbulence on a beta‐plane . J. Fluid Mech. , 69 : 417 – 443 .
   Web of Science ®Google Scholar
• Ross , B. , ed. 1975 . Fractional Calculus and Its Applications , 381 Berlin : Springer‐Verlag .
   Google Scholar
• Sanford , T.B. 1982 . Spatial structure of internal waves , Seattle, Wash. : School of Oceanography, University of Washington . Unpubl. manuscr.
   Google Scholar
• Shen , C.Y. and Holloway , H. 1982a . Spectral formulation of internal wave interaction , Tech. Rep. No. 392 School of Oceanography, University of Washington .
   Google Scholar
• _____ and _____ . 1982b . Frequency dispersion among interacting internal gravity waves , Seattle, Wash. : School of Oceanography, University of Washington . Unpubl. manusc.
   Google Scholar
• Shur , G.H. 1962 . Experimental studies of the energy spectrum of atmospheric turbulence , Proc. Cent. Aerolog. Observ. USSR, No. 43 79 – 90 .
   Google Scholar
• Thorpe , S.A. 1977 . Turbulence and mixing in a Scottish Loch . Phil. Trans. R. Soc. London , A286 : 125 – 181 .
   Web of Science ®Google Scholar
• Weinstock , J. 1978a . On the theory of turbulence in the buoyancy subrange of stably stratified flows . J. Atmos. Sci. , 35 : 634 – 649 .
   Google Scholar
• _____ . 1978b . Vertical turbulent diffusion in a stably stratified fluid . J. Atmos. Sci. , 35 : 1022 – 1027 .
   Google Scholar
• West , B.J. , ed. 1981 . Nonlinear Properties of Internal Waves , 351 Amer. Inst. Phys. .
   Google Scholar
• Williams , G.P. 1978 . Planetary circulations: 1. Barotropic representation of Jovian and terrestrial turbulence . J. Atmos. Sci. , 35 : 1399 – 1426 .
   Web of Science ®Google Scholar