Diapycnal mixing processes in the ocean interior

International Geophysics

Volumn 103, Issue , 2013, Pages 159-183

  MacKinnon, Jennifer ^a   St Laurent, Lou ^b   Naveira Garabato, Alberto C ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b WOODS HOLE OCEANOGRAPHIC INSTITUTION   (United States)

^c UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Internal waves; Mixing; Nonlinear; Tides; Turbulence

Indexed keywords

EID: 84886399246     PISSN: 00746142     EISSN: None     Source Type: Book Series    
DOI: 10.1016/B978-0-12-391851-2.00007-6     Document Type: Chapter

References (258)

1. Alford M.H. Internal swell generation: the spatial distribution of energy flux from the wind to mixed layer near-inertial motions. J. Phys. Oceanogr. 2001, 31:2359-2368.
2. Alford M.H. Energy available for ocean mixing redistributed though long-range propagation of internal waves. Nature 2003, 423:159-163.
3. Alford M.H. Observations of parametric subharmonic instability of the diurnal internal tide in the South China Sea. Geophys. Res. Lett. 2008, 35:L15602. 10.1029/2008GLO34,720.
4. Alford M.H. Sustained, full-water-column observations of internal waves and mixing near Mendocino Escarpment. J. Phys. Oceanogr. 2010, 40:2643-2660.
5. Alford M., Gregg M. Near-intertial mixing: modulation of shear, strain and microstructure at low latitude. J. Geophys. Res. 2001, 106(C8):16947-16968.
6. Alford M., Pinkel R. Observations of overturning in the thermocline: the context of ocean mixing. J. Phys. Oceanogr. 2000, 30(5):805-832.
7. Alford M.H., Whitmont M. Seasonal and spatial variability of near-inertial kinetic energy from historical moored velocity records. J. Phys. Oceanogr. 2007, 37(8):2022-2037.
8. Alford M.H., MacKinnon J.A., Zhao Z., Pinkel R., Klymak J., Peacock T. Internal waves across the Pacific. Geophys. Res. Lett. 2007, 34. 10.1029/2007GL031566.
9. Alford M.H., et al. Energy flux and dissipation in Luzon Strait: two tales of two ridges. J. Phys. Oceanogr. 2011, 41(11):2211-2222.
10. Alford M.H., Cronin M.F., Klymak J.M. Annual cycle and depth penetration of wind-generated near-inertial internal waves at Ocean Station Papa in the Northeast Pacific. J. Phys. Oceanogr. 2012, 42(6):889-909.
11. Althaus A., Kunze E., Sanford T. Internal tide radiation from Mendocino Escarpment. J. Phys. Oceanogr. 2003, 33:1510-1527.
12. Arbic B.K., Richman J.G., Shriver J.F., Timko P.G., Metzger E.J., Wallcraft A.J. Global modeling of internal tides within an eddying ocean general circulation model. Oceanography 2012, 25(2):20-29.
13. Belcher S.E., et al. A global perspective on mixing in the ocean surface boundary layer. Geophys. Res. Lett. 2012, 39(18). 10.1029/2012GL052932.
14. Boccaletti G., Ferrari R., Fox-Kemper B. Mixed layer instabilities and restratification. J. Phys. Oceanogr. 2007, 37(9):2228-2250.
15. Bryan K., Lewis L. A water mass model of the world ocean. J. Geophys. Res. 1979, 84:2503-2517.
16. Bryden H.L., Nurser A.J.G. Effects of strait mixing on ocean stratification. J. Phys. Oceanogr. 2003, 33(8):1870-1872.
17. Buhler O., McIntyre M. Wave capture and wave-vortex duality. J. Fluid Mech. 2005, 534:67-95.
18. Capet X., McWilliams J.C., Molemaker M.J., Shchepetkin A.F. Mesoscale to submesoscale transition in the California Current System. Part ii: Frontal processes. J. Phys. Oceanogr. 2008, 38(1):44-64.
19. 2 barotropic-to-baroclinic conversion. J. Phys. Oceanogr. 2006, 36(6):1136-1147.
20. Chaigneau A., Pizarro O., Rojas W. Global climatology of near-inertial current characteristics from Lagrangian observations. Geophys. Res. Lett. 2008, 35:L13603. 10.1029/2008GL034060.
21. Cole S.T., Rudnick D.L., Hodges B.A. Observations of tidal internal wave beams at Kauai Channel, Hawaii. J. Phys. Oceanogr. 2009, 39:421-436.
22. Craik A., Leibovich S. A rational model for Langmuir circulations. J. Fluid Mech. 1976, 73:401-426.
23. Crawford G.B., Large W.G. A numerical investigation of resonant inertial response of the ocean to wind forcing. J. Phys. Oceanogr. 1996, 26:873-891.
24. Danabasoglu G., Large W.G., Briegleb B.B. Climate impacts of parameterized Nordic Sea overflows. J. Geophys. Res. 2010, 115. 10.1029/2010JC006243.
25. Danioux E., Klein P., Riviere P. Propagation of wind energy into the deep ocean through a fully turbulent mesoscale eddy field. J. Phys. Oceanogr. 2008, 38:2224-2241.
26. D'Asaro E. The energy flux from the wind to near-inertial motions in the mixed layer. J. Phys. Oceanogr. 1985, 15:943-959.
27. D'Asaro E.A., Lien R.-C. The wave-turbulence transition for stratified flows. J. Phys. Oceanogr. 2000, 30(7):1669-1678.
28. D'Asaro E., Eriksen C., Levine M., Niller P., Paulson C., van Meurs P. Upper-ocean inertial currents forced by a strong storm. Part 1: data and comparisons with linear theory. J. Phys. Oceanogr. 1995, 25:2909-2936.
29. D'Asaro E.A., Lee C., Rainville L., Harcourt R., Thomas L. Enhanced turbulence and energy dissipation at ocean fronts. Science 2011, 332:318-322.
30. Davis R.E. Preliminary results from directly measuring mid-depth circulation in the tropical and South Pacific. J. Geophys. Res. 1998, 103:24619-24639.
31. Dewar W.K., Hogg A.M. Topographic inviscid dissipation of balanced flow. Ocean Model. 2010, 32:1-13.
32. Dewar W., Bingham R., Iverson R. Does the marine biosphere mix the ocean?. J. Mar. Res. 2006, 64(4):541-561.
33. Dillon T.M. Vertical overturns: a comparison of Thorpe and Ozmidov length scales. J. Geophys. Res. 1982, 87:9601-9613.
34. Donohue K., Toole J. A near-synoptic survey of the Southwest Indian Ocean. Deep Sea Res. Part II 2003, 50:1893-1931.
35. 2 tidal energy dissipation from TOPEX/Poseidon altimeter data. J. Geophys. Res. 2001, 106(C10):22475-22502.
36. Elipot S., Lumpkin R., Prieto G. Intertial oscillations modification by mesoscale vorticity. J. Geophys. Res. 2010, 114(C06003). 10.1029/2008JC005,170.
37. Emile-Geay J., Madec C. Geothermal heating, diapycnal mixing and the geothermal heating, diapycnal mixing and the abyssal circulation. Ocean Sci. 2009, 5:203-217.
38. Eriksen C.C. Implications of ocean bottom reflection for internal wave spectra and mixing. J. Phys. Oceanogr. 1985, 15:1145-1156.
39. Eriksen C. Internal wave reflection and mixing at Fieberling Guyot. J. Geophys. Res. 1998, 103:2977-2994.
40. Ferrari R., Wunsch C. Ocean circulation kinetic energy: reservoirs, sources, and sinks. Annu. Rev. Fluid Mech. 2009, 41:253-282.
41. Ferrari R., McWilliams J., Canuto V., Dubovikov M. Parameterization of eddy fluxes near oceanic boundaries. J. Clim. 2008, 21:2770-2789.
42. Ferrari R., Griffies S.M., Nurser A., Vallis G. A boundary-value problem for the parameterized mesoscale eddy transport. Ocean Model. 2010, 32:143-156.
43. Ferron B., Mercier H., Speer K., Gargett A., Polzin K. Mixing in the Romanche fracture zone. J. Phys. Oceanogr. 1998, 28(10):1929-1945.
44. Forryan A., Garabato A.C.N., Polzin K.L., Waterman S.N. Rapid injection of near-inertial kinetic energy into the stratified upper ocean at an Antarctic Circumpolar Current front. J. Geophys. Res. Oceans 2013, (submitted).
45. Fox-Kemper B., Ferrari R., Hallberg R. Parameterization of mixed layer eddies. Part i: theory and diagnosis. J. Phys. Oceanogr. 2008, 38(6):1145-1165.
46. Friedrich T., Timmermann A., Decloedt T., Luther D., Mouchet A. The effect of topography-enhanced diapycnal mixing on ocean and atmospheric circulation and marine biogeochemistry. Ocean Model. 2011, 39:262-274.
47. Furuichi N., Hibiya T., Niwa Y. Bispectral analysis of energy transfer within the two-dimensional oceanic internal wave field. J. Phys. Oceanogr. 2005, 35:2104-2109.
48. Ganachaud A., Wunsch C. Improved estimates of global ocean circulation, heat transport and mixing from hydrographic data. Nature 2000, 408:453-457.
49. Gargett A.E. Do we really know how to scale the turbulent kinetic energy dissipation rate ε due to breaking of oceanic internal waves?. J. Geophys. Res. 1990, 95(C9):15971-15974.
50. Garrett C. Marginal mixing theories. Atmos. Ocean 1991, 29(2):313-339.
51. Garrett C. An isopycnal view of near-boundary mixing and associated flows. J. Phys. Oceanogr. 2001, 31(1):138-142.
52. Garrett C., Kunze E. Internal tide generation in the deep ocean. Annu. Rev. Fluid Mech. 2007, 39:57-87. 10.1146/annurev.fluid.39.050,905.110,227.
53. Gent P.R., et al. The community climate system model version 4. J. Clim. 2011, 24(19):4973-4991.
54. Gerkema T., Staquet C., Bouruet-Aubertot P. Non-linear effects in internal-tide beams, and mixing. Ocean Model. 2006, 12(3-4):302-318.
55. Gilbert D., Garrett C. Implications for ocean mixing of internal wave scattering off irregular topography. J. Phys. Oceanogr. 1989, 19(11):1716-1729.
56. Gill A.E. Atmosphere-Ocean Dynamics 1982, 662. Academic Press, San Diego.
57. Gill A. On the behavior of internal waves in the wakes of storms. J. Phys. Oceanogr. 1984, 14(7):1129-1151.
58. Gnanadesikan A., Slater R., Gruber N., Sarmiento J. Oceanic vertical exchange and new production: a comparison between models and observations. Deep Sea Res. Part II 2002, 49(1-3):363-401.
59. Gnanadesikan A., Dunne J., Key R., Matsumoto K., Sarmiento J., Slater R. Oceanic ventilation and biogeochemical cycling: understanding the physical mechanisms that produce realistic distributions of tracers and productivity. Global Biogeochem. Cycles 2004, 18(4):GB4010.
60. Grant A.L., Belcher S.E. Characteristics of Langmuir turbulence in the ocean mixed layer. J. Phys. Oceanogr. 2009, 39(8):1871-1887.
61. Gregg M. Diapycnal mixing in the thermocline. J. Geophys. Res. 1987, 92(C5):5249-5286.
62. Gregg M.C. Scaling turbulent dissipation in the thermocline. J. Geophys. Res. 1989, 94(C7):9686-9698.
63. Gregg M. Estimation and geography of diapycnal mixing in the stratified ocean. Physical Processes in Lakes and Oceans 1998, 305-338. American Geophysical Union, Coastal and Estuarine Studies. J. Imberger (Ed.).
64. Gregg M.C., Kunze E. Shear and strain in Santa Monica Basin. J. Geophys. Res. 1991, 96(C9):16709-16719.
65. Gregg M., Peters H., Wesson J., Oakey N.S., Shay T. Intensive measurements of turbulence and shear in the equatorial undercurrent. Nature 1985, 318:140-144.
66. Gregg M.C., Sanford T.B., Winkel D.P. Reduced mixing from the breaking of internal waves in equatorial waters. Nature 2003, 422:513-515.
67. Gregg M.C., Hall R.A., Carter G.S., Alford M.H., Lien R., Winkel D.P., Wain D.J. Flow and mixing in Ascension, a steep, narrow canyon. J. Geophys. Res. 2011, 116:C07016. 10.1029/2010JC006610.
68. Griffies S., et al. Problems and prospects in large-scale ocean circulation models. Proceedings of OceanObs'09: Sustained Ocean Observations and Information for Society, Venice, Italy, 21-25 September 2009 2010, vol. 2. ESA Publication, WPP-306. 10.5270/OceanObs09.cwp.38. J. Hall, D. Harrison, D. Stammer (Eds.).
69. Haine T.W.N., Marshall J. Gravitational, symmetric, and baroclinic instability of the ocean mixed layer. J. Phys. Oceanogr. 1998, 28:634-658.
70. Harrison M., Hallberg R. Pacific subtropical cell response to reduced equatorial dissipation. J. Phys. Oceanogr. 2008, 38(9):1894-1912.
71. Hasumi H., Suginohara N. Effects of locally enhanced vertical diffusivity over rough bathymetry on the world ocean circulation. J. Geophys. Res. 1999, 104:23367-23374.
72. Hazewinkel J., Winters K. Psi of the internal tide on a β-plane: flux divergence and near-inertial wave propagation. J. Phys. Oceanogr. 2011, 41(9):1673-1682.
73. Henyey F.S., Wright J., Flatté S.M. Energy and action flow through the internal wave field. J. Geophys. Res. 1986, 91:8487-8495.
74. Heywood K., Naveira Garabato A., Stevens D. High mixing rates in the abyssal Southern Ocean. Nature 2002, 415:1011-1013.
75. Hibiya T., Nagasawa M. Latitudinal dependence of diapycnal diffusivity in the thermocline estimated using a finescale parameterization. Geophys. Res. Lett. 2004, 31:L01301.
76. Hibiya T., Nagasawa M., Niwa Y. Nonlinear energy transfer within the oceanic internal wave spectrum at mid and high latitudes. J. Geophys. Res. 2002, 107(C11).
77. Hogg N.G., Owens W.B. Direct measurements of the deep circulation with the Brazil Basin. Deep Sea Res. Part II 1999, 46:335-353.
78. Hosegood P., Gregg M.C., Alford M.H. Sub-mesoscale lateral density structure in the oceanic surface mixed layer. Geophys. Res. Lett. 2006, 33(22):L22604. 10.1029/2006GL026797.
79. Huang R.X. On the balance of energy in the oceanic general circulation. Sci. Atmos. Sin. 1998, 22(4):562-574.
80. Huang R., Jin X. Deep circulation in the South Atlantic induced by bottom-intensified mixing over the midocean ridge. J. Phys. Oceanogr. 2002, 32:1150-1164.
81. Hughes G.O., Hogg A.M.C., Griffiths R.W. Available potential energy and irreversible mixing in the meridional overturning circulation. J. Phys. Oceanogr. 2009, 39(12):3130-3146.
82. Huussen T.N., Naveira-Garabato A.C., Bryden H.L., McDonagh E.L. Is the deep Indian Ocean MOC sustained by breaking internal waves?. J. Geophys. Res. 2012, 117(C8):C08024.
83. Ivey G.N., Winters K.B., DeSilva I.P.D. Turbulent mixing in a sloping benthic boundary layer energized by internal waves. J. Fluid Mech. 2000, 418:59-76.
84. Ivey G., Winters K., Koseff J. Density stratification, turbulence, but how much mixing?. Annu. Rev. Fluid Mech. 2008, 40:169-184.
85. Jackson L., Hallberg R., Legg S. A parameterization of shear-driven turbulence for ocean climate models. J. Phys. Oceanogr. 2008, 38(5):1033-1053.
86. Jayne S.R. The impact of abyssal mixing parameterizations in an ocean general circulation model. J. Phys. Oceanogr. 2009, 39:1756-1775.
87. Jayne S., St Laurent L.C. Parameterizing tidal dissipation over rough topography. Geophys. Res. Lett. 2001, 28:811-814.
88. Jiang J., Lu Y., Perrie W. Estimating the energy flux from the wind to ocean inertial motions: the sensitivity to surface wind fields. Geophys. Res. Lett. 2005, 32:L15610. 10.1029/2005GL023289.
89. Jing Z., Wu L. Seasonal variation of turbulent diapycnal mixing in the northwestern Pacific stirred by wind stress. Geophys. Res. Lett. 2010, 37. 10.1029/2010GL045418.
90. Jochum M., Briegleb B.P., Danabasoglu G., Large W.G., Norton N.J., Jayne S.R., Alford M.H., Bryan F.O. The impact of oceanic near-inertial waves on climate. J. Clim. 2013, 26(9):2833-2844. 10.1175/JCLI-D-12-00181.1.
91. Johnston T.M.S., Rudnick D.L. Observations of the transition layer. J. Phys. Oceanogr. 2009, 39:780-797.
92. Johnston T.M.S., Merrifield M.A., Holloway P.E. Internal tide scattering at the Line Islands Ridge. J. Geophys. Res. 2003, 108:3365. 10.1029/2003JC001844.
93. Johnston T.S., Rudnick D.L., Carter G.S. Internal tidal beams and mixing near Monterey Bay. J. Geophys. Res. 2011, 116. 10.1029/2010JC006592.
94. Katsman C.A. Impacts of localized mixing and topography on the stationary abyssal circulation. J. Phys. Oceanogr. 2006, 36:1660-1671.
95. Kelly S.M., Nash J.D. Internal-tide generation and destruction by shoaling internal tides. Geophys. Res. Lett. 2010, 37(23).
96. Kelly S., Nash J., Martini K., Alford M., Kunze E. The cascade of tidal energy from low to high modes on a continental slope. J. Phys. Oceanogr. 2012, 42(7):1217-1232.
97. Klocker A., McDougall T. Influence of the nonlinear equation of state on global estimates of dianeutral advection and diffusion. J. Phys. Oceanogr. 2010, 40(8):1690-1709.
98. Klymak J.M., Moum J.N., Nash J.D., Kunze E., Girton J.B., Carter G.S., Lee C.M., Sanford T.B., Gregg M.C. An estimate of tidal energy lost to turbulence at the Hawaiian Ridge. J. Phys. Oceanogr. 2006, 36:1148-1164.
99. Klymak J.M., Pinkel R., Rainville L. Direct breaking of the internal tide near topography: Kaena Ridge, Hawaii. J. Phys. Oceanogr. 2008, 38:380-399.
100. Klymak J.M., Legg S., Pinkel R. A simple parameterization of turbulent tidal mixing near supercritical topography. J. Phys. Oceanogr. 2010, 40(9):2059-2074.
101. Klymak J.M., Alford M.H., Pinkel R., Lien R.C., Yang Y.J. The breaking and scattering of the internal tide on a continental slope. J. Phys. Oceanogr. 2011, 41:926-945. 10.1175/2010JPO4500.1.
102. Klymak J.M., Legg S., Alford M.H., Buijsman M., Pinkel R., Nash J.D. The direct breaking of internal waves at steep topography. Oceanography 2012, 25(2):150-159.
103. Kuhlbrodt T., Griesel A., Montoya M., Levermann A., Hofmann M., Rahmstorf S. On the driving processes of the Atlantic meridional overturning circulation. Rev. Geophys. 2007, 45. 10.1029/2004RG000166.
104. Kunze E. Near-inertial wave propagation in geostrophic shear. J. Phys. Oceanogr. 1985, 15(5):544-565.
105. Kunze E., Schmitt R.W., Toole J.M. The energy balance in a warm-core ring's near-inertial critical layer. J. Phys. Oceanogr. 1995, 25:942-957.
106. Kunze E., Rosenfeld L.K., Carter G.S., Gregg M.C. Internal waves in monterey submarine canyon. J. Phys. Oceanogr. 2002, 32(6):1890-1913.
107. Kunze E., Firing E., Hummon J.M., Chereskin T.K., Thurnherr A.M. Global abyssal mixing inferred from lowered ADCP shear and CTD strain profiles. J. Phys. Oceanogr. 2006, 36(8):1553-1576.
108. Kunze E., MacKay C., McPhee-Shaw E.E., Morrice K., Girton J.B., Terker S.R. Turbulent mixing and exchange with interior waters on sloping boundaries. J. Phys. Oceanogr. 2012, 42(6):910-927. 10.1175/JPO-D-11-075.1.
109. Lapeyre G., Klein P., Hua B.L. Oceanic restratification forced by surface frontogenesis. J. Phys. Oceanogr. 2006, 36(8):1577-1590.
110. Large W.G., Nurser A.J.G. Ocean surface water mass transformation. 2001, Ocean Circulation and Climate-Observing and Modelling the Global Ocean. International Geophysics Series, vol. 77 2001, 317-336. Academic Press, ISBN 0-12-641351-7 (Chapter 5.1). G. Siedler, J. Church, J. Gould (Eds.).
111. Large W., McWilliams J., Doney S. Oceanic vertical mixing-a review and a model with a nonlocal boundary-layer parameterization. Rev. Geophys. 1994, 32(4):363-403.
112. Ledwell J., Watson A., Law C. Evidence for slow mixing across the pycnocline from an open-ocean tracer-release experiment. Nature 1993, 364:701-703.
113. Ledwell J.R., Watson A.J., Law C.S. Mixing of a tracer in the pycnocline. J. Geophys. Res. 1998, 103(C10):21499-21529.
114. Ledwell J., Montgomery E., Polzin K., St Laurent L., Schmitt R., Toole J. Evidence for enhanced mixing over rough topography in the abyssal ocean. Nature 2000, 403(6766):179-182.
115. Ledwell J.R., St Laurent L.C., Girton J.B., Toole J.M. Diapycnal mixing in the Antarctic Circumpolar Current. J. Phys. Oceanogr. 2011, 41:241-246.
116. Legg S. Overflows and convectively driven flows. Buoyancy-Driven Flows 2012, 203-239. Cambridge Univ. Press, Cambridge, UK. E. Chassignet, C. Cenedese, J. Verron (Eds.).
117. Legg S., Klymak J.M. Internal hydraulic jumps and overturning generated by tidal flow over a steep ridge. J. Phys. Oceanogr. 2008, 38:1949-1964.
118. Legg S., et al. Improving oceanic overflow representation in climate models: the gravity current entrainment climate process team. Bull. Am. Meteorol. Soc. 2009, 90(5):657-670.
119. Li M., Garrett C., Skyllingstad E. A regime diagram for classifying turbulence large eddies in the upper ocean. Deep Sea Res. Part I 2005, 52(2):259-278.
120. Lien R.-C., Gregg M. Observations of turbulence in a tidal beam and across a coastal ridge. J. Geophys. Res. 2001, 106:4575-4591.
121. Lien R.-C., D'Asaro E.A., McPhaden M. Internal waves and turbulence in the Upper Central Equatorial Pacific: Lagrangian and eulerian observations. J. Phys. Oceanogr. 2002, 32(9):2619-2639.
122. Lueck R.G., Mudge T.D. Topographically induced mixing around a shallow seamount. Science 1997, 276:1831-1833.
123. Lueck R., Wolk F., Yamazaki H. Oceanic velocity microstructure measurements in the 20th century. J. Oceanogr. 2002, 58(1):153-174.
124. Lumpkin R., Speer K. Global ocean meridional overturning. J. Phys. Oceanogr. 2007, 37:2550-2562.
125. Lvov Y.V., Polzin K.L., Tabak E.G. Energy spectra of the ocean's internal wave field: theory and observations. Phys. Rev. Lett. 2004, 92(12):128501-1-128501-4.
126. Lvov Y.V., Polzin K.L., Tabak E.G., Yokoyama N. Oceanic internal wavefield: theory of scale-invariant spectra. J. Phys. Oceanogr. 2010, 40:2605-2623.
127. MacKinnon J., Gregg M. Mixing on the late-summer New England shelf-solibores, shear and stratification. J. Phys. Oceanogr. 2003, 33(7):1476-1492.
128. MacKinnon J.A., Winters K.B. Spectral evolution of bottom-forced internal waves. Near-Boundary Processes and Their Parameterization 2003, 73-83. P. Muller, D. Henderson (Eds.).
129. MacKinnon J.A., Winters K. Subtropical catastrophe: significant loss of low-mode tidal energy at 28.9 degrees. Geophys. Res. Lett. 2005, 32(15). 10.1029/2005GL023376.
130. MacKinnon J.A., Johnston T.M.S., Pinkel R. Strong transport and mixing of deep water through the Southwest Indian Ridge. Nat. Geosci. 2008, 1:755-758.
131. MacKinnon J.A., Alford M.H., Sun O., Pinkel R., Zhao Z., Klymak J. Parametric subharmonic instability of the internal tide at 29N. J. Phys. Oceanogr. 2013, 43(1):17-28.
132. Mahadevan A., Tandon A., Ferrari R. Rapid changes in mixed layer stratification driven by submesoscale instabilities and winds. J. Geophys. Res. 2010, 115:C03017. 10.1029/2008JC005,203.
133. Marshall J., Radko T. A model of the upper branch of the meridional overturning of the Southern Ocean. Prog. Oceanogr. 2006, 70:331-345.
134. Martin J.P., Rudnick D.L., Pinkel R. Spatially broad observations of internal waves in the upper ocean at the Hawaiian ridge. J. Phys. Oceanogr. 2006, 36(6):1085-1103.
135. Martini K.I., Alford M.H., Kunze E., Kelly S.H., Nash J.D. Observations of internal tides on the Oregon continental slope. J. Phys. Oceanogr. 2011, 41(9):1772-1794.
136. McComas C.H., Müller P. The dynamic balance of internal waves. J. Phys. Oceanogr. 1981, 11:970-986.
137. McPhee-Shaw E., Kunze E. Boundary layer intrusions from a sloping bottom: a mechanism for generating intermediate nepheloid layers. J. Geophys. Res. Oceans 2002, 107(C6). 10.1029/2001JC000801.
138. McWilliams J., Sullivan P., Moeng C. Langmuir turbulence in the ocean. J. Fluid Mech. 1997, 334:1-30.
139. McWilliams J., Restrepo J., Lane E. An asymptotic theory for the interaction of waves and currents in coastal waters. J. Fluid Mech. 2004, 511:135-178.
140. Melet A., Hallberg R., Legg S., Polzin K. Sensitivity of the Pacific Ocean state to the vertical distribution of internal-tide driven mixing. J. Phys. Oceanogr. 2013, 43(3):602-615. 10.1175/JPO-D-12-055.1.
141. Mihaly S.F., Thomson R., Rabinovich A.B. Evidence for nonlinear interaction between internal waves of inertial and semidiurnal frequency. Geophys. Res. Lett. 1998, 25(8):1205-1208.
142. Moehlis J., Llewellyn-Smith S.G. Radiation of mixed layer near-inertial oscillations into the ocean interior. J. Phys. Oceanogr. 2001, 31:1550-1560.
143. Molemaker M.J., McWilliams J.C., Yavhen I. Baroclinic instability and loss of balance. J. Phys. Oceanogr. 2005, 35(9):1505-1517.
144. Moum J.N., Nash J.D. Mixing measurements on an equatorial ocean mooring. J. Atmos. Oceanic. Technol. 2009, 26:317-336.
145. Moum J.N., Rippeth T.P. Do observations adequately resolve the natural variability of oceanic turbulence?. J. Mar. Syst. 2009, 77:409-417.
146. Moum J., Smyth W. Encyclopedia of Ocean Sciences 2001, 3093-3100. Academic Press, (Chap. Upper ocean mixing).
147. Moum J., Gregg M.C., Lien R.-C., Carr M. Comparison of turbulence kinetic energy dissipation rate estimates from two ocean microstructure profilers. J. Atmos. Oceanic. Technol. 1995, 12:346-366.
148. Moum J.N., Lien R.-C., Perlin A., Nash J.D., Gregg M.C., Wiles P.J. Sea surface cooling at the equator by subsurface mixing in tropical instability waves. Nat. Geosci. 2009, 2:761-765.
149. Moum J.N., Nash J.D., Smyth W.D. Narrowband oscillations in the upper equatorial ocean. Part i: interpretation as shear instabilities. J. Phys. Oceanogr. 2011, 41(3):397-411.
150. Müller P., Liu X. Scattering of internal waves at finite topography in two dimensions. Part I: theory and case studies. J. Phys. Oceanogr. 2000, 30:532-549.
151. Müller P., Holloway G., Henyey F., Pomphrey N. Nonlinear interactions among internal gravity waves. Rev. Geophys. 1986, 24(3):493-536.
152. Munk W.H. Abyssal recipes. Deep Sea Res. 1966, 13:707-730.
153. Munk W., Wunsch C. Abyssal recipes II: energetics of tidal and wind mixing. Deep Sea Res. Part I 1998, 45:1977-2010.
154. Nagasawa M., Yoshihiro N., Hibiya T. Spatial and temporal distribution of the wind-induced internal wave energy available for deep water mixing in the north pacific. J. Geophys. Res. 2000, 105(C6):13933-13943.
155. Nash J.D., Kunze E., Toole J.M., Schmitt R.W. Internal tide reflection and turbulent mixing on the continental slope. J. Phys. Oceanogr. 2004, 34:1117-1134.
156. Naveira Garabato A., Polzin K., King B., Heywood K., Visbeck M. Widespread intense turbulent mixing in the Southern Ocean. Science 2004, 303:210-213.
157. Nikurashin M., Ferrari R. Radiation an dissipation of internal waves generated by geostrophic motions impinging on small-scale topography: application to the Southern Ocean. J. Phys. Oceanogr. 2010, 40:2025-2042.
158. Nikurashin M., Ferrari R. Global energy conversion rate from geostrophic flows into internal lee waves in the deep ocean. Geophys. Res. Lett. 2011, 38. 10.1029/2011GL046576.
159. Nikurashin M., Legg S. A mechanism for local dissipation of internal tides generated at rough topography. J. Phys. Oceanogr. 2011, 41:378-395.
160. Nikurashin M., Vallis G. A theory of deep stratification and overturning circulation in the ocean. J. Phys. Oceanogr. 2011, 41:485-502.
161. Osborn T.R. Estimates of the local rate of vertical diffusion from dissipation measurements. J. Phys. Oceanogr. 1980, 10:83-89.
162. Pacanowski R., Philander S. Parameterization of vertical mixing in numerical models of tropical oceans. J. Phys. Oceanogr. 1981, 11(11):1443-1451.
163. Palmer M.D., Garabato A.C.N., Stark J.D., Hirschi J.J.-M., Marotzke J. The influence of diapycnal mixing on quasi-steady overturning states in the Indian Ocean. J. Phys. Oceanogr. 2007, 37:2290-2304.
164. Peacock T., Echeverri P., Balmforth N.J. An experimental investigation of internal tide generation by two-dimensional topography. J. Phys. Oceanogr. 2008, 38:235-242.
165. Perlin A., Moum J.N., Klymak J.M. Response of the bottom boundary layer over a sloping shelf to variations in alongshore wind. J. Geophys. Res. 2005, 110. 10.1029/2004JC002500.
166. Pinkel R., Buijsman M., Klymak J.M. Breaking Topographic Lee Waves in a Tidal Channel in Luzon Strait. Oceanography 2012, 25(2):160-165.
167. Plueddemann A.J., Farrar J.T. Observations and models of the energy flux from the wind to mixed-layer inertial currents. Deep Sea Res. 2006, 53:5-30.
168. Pollard R., Millard R. Comparison between observed and simulated wind-generated inertial oscillations. Deep Sea Res. 1970, 17:153-175.
169. Polton J., Belcher S. Langmuir turbulence and deeply penetrating jets in an unstratified mixed layer. J. Geophys. Res. 2007, 112. 10.1029/2007JC004205.
170. Polton J.A., Smith J.A., MacKinnon J.A., Tejada-Martinez A. Rapid generation of high-frequency internal waves beneath a wind and wave forced oceanic surface mixed layer. Geophys. Res. Lett. 2008, 35:L13602. 10.1029/2008GL033856.
171. Polzin K. Idealized solutions for the energy balance of the finescale internal wave field. J. Phys. Oceanogr. 2004, 34:231-246.
172. Polzin K.L. An abyssal recipe. Ocean Model. 2009, 30:298-309.
173. Polzin K.L. Mesoscale eddy-internal wave coupling. Part II: energetics and results from PolyMode. J. Phys. Oceanogr. 2010, 40:789-801.
174. Polzin K., Firing E. Estimates of diapycnal mixing using LADCP and CTD data from I8S. Int. WOCE Newslett. 1997, 29:39-42.
175. Polzin K.L., Lvov Y.V. Toward regional characterizations of the oceanic internal wavefield. Rev. Geophys. 2011, 49. 10.1029/2010RG000,329.
176. Polzin K.L., Toole J.M., Schmitt R.W. Finescale parameterizations of turbulent dissipation. J. Phys. Oceanogr. 1995, 25:306-328.
177. Polzin K.L., Oakey N.S., Toole J.M., Schmitt R.W. Fine structure and microstructure characteristics across the northwest Atlantic Subtropical Front. J. Geophys. Res. 1996, 101(C6):14111-14121.
178. Polzin K.L., Speer K.G., Toole J.M., Schmitt R.W. Intense mixing of Antarctic Bottom Water in the equatorial Atlantic Ocean. Nature 1996, 380:54-57.
179. Polzin K., Toole J., Ledwell J., Schmitt R. Spatial variability of turbulent mixing in the abyssal ocean. Science 1997, 276:93-96.
180. Polzin K.L., Garabato A.C.N., Huussen T.N., Sloyan B.M., Waterman S.N. Finescale parameterizations of turbulent dissipation by internal wave breaking. J. Geophys. Res. 2013, (submitted).
181. Price J.F., Weller R.A., Pinkel R. Diurnal cycling: observations and models of the upper ocean response to diurnal heating, cooling, and wind mixing. J. Geophys. Res. 1986, 91:8411-8427.
182. Price J., Morzel J., Niiler P. Warming of SST in the cool wake of a moving hurricane. J. Geophys. Res. 2008, 113:C07010.
183. Radko T., Marshall J. The leaky thermocline. J. Phys. Oceanogr. 2004, 34:1648-1662.
184. Rainville L., Pinkel R. Observations of energetic high-wavenumber internal waves in the Kuroshio. J. Phys. Oceanogr. 2004, 34:1495-1505.
185. Ray R., Mitchum G. Surface manifestation of internal tides generated near Hawaii. Geophys. Res. Lett. 1996, 23(16):2101-2104.
186. Ray R., Mitchum G. Surface manifestation of internal tides in the deep ocean: observations from altimetry and island gauges. Prog. Oceanogr. 1997, 40(1):135-162.
187. Roemmich D., Hautala S., Rudnick D. Northward abyssal transport through the Samoan Passage and adjacent regions. J. Geophys. Res. 1996, 101:14039-14055.
188. Rudnick D.L., Ferrari R. Compensation of horizontal temperature and salinity gradients in the ocean mixed layer. Science 1999, 283:526-529.
189. Rudnick D., et al. From tides to mixing along the Hawaiian Ridge. Science 2003, 301:355-357.
190. Saenko O., Merryfield W. On the effect of topographically enhanced mixing on the global ocean circulation. J. Phys. Oceanogr. 2005, 35:826-834.
191. Samelson R.M. Large scale circulation with locally enhanced vertical mixing. J. Phys. Oceanogr. 1998, 28(4):712-726.
192. Schmitt R.W. Finger puzzles. J. Fluid Mech. 2012, 692:1-4.
193. Schmitt R., Ledwell J., Montgomery E., Polzin K., Toole J. Enhanced diapycnal mixing by salt fingers in the thermocline of the tropical Atlantic. Science 2005, 308:685-688.
194. Scott J.R., Marotzke J. The location of diapycnal mixing and the Meridional Overturning Circulation. J. Phys. Oceanogr. 2002, 32:3578-3595.
195. Scott R.B., Goff J.A., Garabato A.C.N., Nurser A.J.G. Global rate and spectral characteristics of internal gravity wave generation by geostrophic flow over topography. J. Geophys. Res. 2011, 116. 10.1029/2011JC007005.
196. Shih L.H., Koseff J.R., Ivey G.N., Ferziger J.H. Parameterization of turbulent fluxes and scales using homogeneous sheared stably stratified turbulence simulations. J. Fluid Mech. 2005, 525:193-214.
197. Shuckburgh E., Maze G., Ferreira D., Marshall J., Jones H., Hall C. Mixed layer lateral eddy fluxes mediated by air-sea interaction. J. Phys. Oceanogr. 2011, 41:130-144.
198. Silverthorne K.E., Toole J.M. Seasonal kinetic energy variability of near-inertial motions. J. Phys. Oceanogr. 2009, 39(4):1035-1049.
199. Simmons H.L. Spectral modification and geographic redistribution of the semi-diurnal internal tide. Ocean Model. 2008, 21:126-138.
200. Simmons H., Jayne S., Laurent L.S., Weaver A. Tidally driven mixing in a numerical model of the ocean general circulation. Ocean Model. 2004, 6:245-263.
201. Simmons H.L., Hallberg R.W., Arbic B.K. Internal wave generation in a global baroclinic tide model. Deep Sea Res. Part II 2004, 51:3043-3068.
202. Skyllingstad E.D., Denbo E.D. An ocean large-eddy simulation of Langmuir circulations and convection in the surface mixed layer. J. Geophys. Res. 1995, 100:8501-8522.
203. Skyllingstad E.D., Smyth W.D., Crawford G.B. Resonant wind-driven mixing in the ocean boundary layer. J. Phys. Oceanogr. 2000, 30:1866-1890.
204. Sloyan B.M. Spatial variability of mixing in the Southern Ocean. Geophys. Res. Lett. 2005, 32:L18603. 10.1029/2005GL023,568.
205. Smyth W.D., Moum J.N. Three-dimensional turbulence. Encyclopedia of Ocean Sciences 2001, vol. 6:2947-2955. Academic Press.
206. Smyth W.D., Moum J.N. Ocean mixing by Kelvin-Helmholtz instability. Oceanography 2012, 25(2):140-149.
207. Smyth W.D., Moum J.N., Nash J.D. Narrowband oscillations in the upper equatorial ocean. Part ii: properties of shear instabilities. J. Phys. Oceanogr. 2011, 41(3):412-428.
208. Staquet C., Sommeria J. Internal gravity waves: from instabilities to turbulence. Annu. Rev. Fluid Mech. 2002, 34:559-593.
209. St Laurent L., Garrett C. The role of internal tides in mixing the deep ocean. J. Phys. Oceanogr. 2002, 32:2882-2899.
210. St Laurent L.C., Simmons H. Estimates of power consumed by mixing in the ocean interior. J. Clim. 2006, 19:4877-4890.
211. St Laurent L.C., Thurnherr A.M. Intense mixing of lower thermocline water on the crest of the Mid-Atlantic Ridge. Nature 2007, 448:680-683.
212. St Laurent L.C., Toole J.M., Schmitt R.W. Buoyancy forcing by turbulence above rough topography in the abyssal Brazil Basin. J. Phys. Oceanogr. 2001, 31:3476-3495.
213. St Laurent L., Simmons H., Jayne S. Estimating tidally driven mixing in the deep ocean. Geophys. Res. Lett. 2002, 29(23). 10.1029/2002GL015633.e.
214. St Laurent L.C., Naveira Garabato A.C., Ledwell J.R., Thurnherr A.M., Toole J.M., Watson A.J. Turbulence and diapycnal mixing in Drake Passage. J. Phys. Oceanogr. 2012, 42(12):2143-2152. 10.1175/JPO-D-12-027.1.
215. Stommel H., Arons A. On the abyssal circulation of the world ocean-ii. An idealized model of the circulation pattern and amplitude in oceanic basins. Deep Sea Res. 1960, 6:217-233.
216. Stone P.H. On non-geostrophic baroclinic stability. J. Atmos. Sci. 1966, 23(4):390.
217. Stone P.H. On non-geostrophic baroclinic stability 2. J. Atmos. Sci. 1970, 27(5):721.
218. Sullivan P., McWilliams J. Dynamics of winds and currents coupled to surface waves. Annu. Rev. Fluid Mech. 2010, 42:19-42.
219. Sullivan P., McWilliams J., Melville W. The oceanic boundary layer driven by wave breaking with stochastic variability. Part 1. direct numerical simulations. J. Fluid Mech. 2004, 507:143-174.
220. Talley L.D. Closure of the global overturning circulation through the Indian, Pacific, and Southern Oceans: schematics and transports. Oceanography 2013, 26(1):80-97.
221. Talley L.D., Reid J.L., Robbins P.E. Data-based meridional overturning streamfunctions for the global ocean. J. Clim. 2003, 16(10):3213-3226.
222. Talley L.D., Pickard G.L., Emery W.J., Swift J.H. Descriptive Physical Oceanography: An Introduction 2011, Elsevier, Boston. sixth ed.
223. Tandon A., Garrett C. Geostrophic adjustment and restratification of a mixed-layer with horizontal gradients above a stratified layer. J. Phys. Oceanogr. 1995, 25(10):2229-2241.
224. Taylor J.R., Ferrari R. Buoyancy and wind-driven convection at mixed layer density fronts. J. Phys. Oceanogr. 2010, 40:1222-1242.
225. Thomas L.N. Destruction of potential vorticity by winds. J. Phys. Oceanogr. 2005, 35:2457-2466.
226. Thomas L.N. On the effects of strain on symmetric instability and near-inertial motions. J. Fluid Mech. 2012, 711:620-640.
227. Thomas L.N., Ferrari R. Friction, frontogenesis, and the stratification of the surface mixed layer. J. Phys. Oceanogr. 2008, 38:2501-2518.
228. Thomas L.N., Taylor J.R. Reduction of the usable wind-work on the general circulation by forced symmetric instability. Geophys. Res. Lett. 2010, 37:L18606. 10.1029/2010GL044,680.
229. Thompson A.F., Gille S.T., MacKinnon J.A., Sprintall J. Spatial and temporal patterns of small-scale mixing in Drake Passage. J. Phys. Oceanogr. 2007, 37:572-592.
230. Thorpe S. The Turbulent Ocean 2005, Cambridge Univ. Press, Cambridge.
231. Thorpe A.J., Rotunno R. Nonlinear aspects of symmetric instability. J. Atmos. Sci. 1989, 46:1285-1299.
232. Thurnherr A.M., St Laurent L., Speer K., Toole J., Ledwell J. Mixing associated with sills in a canyon in the midocean ridge flank. J. Phys. Oceanogr. 2005, 35:1370-1381.
233. Timmermans M., Garrett C., Carmack E. The thermohaline structure and evolution of the deep waters in the Canada Basin, Arctic Ocean. Deep Sea Res. Part I 2003, 50:1305-1321.
234. Toggweiler J., Samuels B. On the ocean's large-scale circulation near the limit of no vertical mixing. J. Phys. Oceanogr. 1998, 28(9):1832-1852.
235. Toole J.M., Polzin K.L., Schmitt R.W. Estimates of diapycnal mixing in the abyssal ocean. Science 1994, 264:1120-1123.
236. Toole J.M., Schmitt R.W., Polzin K.L., Kunze E. Near-boundary mixing above the flanks of a midlatitude seamount. J. Geophys. Res. 1997, 102(C1):947-959.
237. Treguier A.M., Held I.M., Larichev V.D. On the parameterization of quasi-geostrophic eddies in primitive equation ocean models. J. Phys. Oceanogr. 1997, 27:567-580.
238. van Haren H. Longitudinal and topographic variations in North Atlantic tidal and intertial energy around latitudes 30 ± 10N. J. Geophys. Res. 2007, 112. 10.1029/2007JC004193.
239. Venayagamoorthy S.K., Fringer O.B. Examining Breaking Internal Waves on a Shelf Slope Using Numerical Simulations. Oceanography 2012, 25(2):132-139.
240. Watanabe M., Hibiya T. Global estimates of the wind-induced energy flux to inertial motions in the surface mixed layer. Geophys. Res. Lett. 2002, 29(8). 10.1029/2001GL014422.
241. Waterhouse A.F., et al. Global patterns of diapycnal mixing from measurements of the turbulent dissipation rate. J. Phys. Oceanogr. 2013, (submitted).
242. Waterman S., Garabato A.C.N., Polzin K.L. Internal waves and turbulence in the Antarctic Circumpolar Current. J. Phys. Oceanogr. 2013, 43(2):259-282. 10.1175/JPO-D-11-0194.1.
243. Waterman S., Polzin K.L., Garabato A.C.N., Sheen K.L. Suppression of internal wave breaking by lee wave-mean flow interactions in the Antarctic Circumpolar Current. J. Phys. Oceanogr. 2013, (submitted).
244. Whalen C.B., Talley L.D., MacKinnon J.A. Spatial and temporal variability of global ocean mixing inferred from Argo profiles. Geophys. Res. Lett. 2012, 39:L18612. 10.1029/2012GL053196.
245. Wijesekera J., Dillon T. Internal waves and mixing in the upper Equatorial Pacific Ocean. J. Geophys. Res. 1991, 96:7115-7125.
246. Wijesekera H., Padman L., Dillon T., Levine M., Paulson C. The application of internal-wave dissipation models to a region of strong mixing. J. Phys. Oceanogr. 1993, 23:269-286.
247. Winters K., D'Asaro E. Three-dimensional wave instability near a critical level. J. Fluid Mech. 1994, 272:255-284.
248. Winters K.B., D'Asaro E.A. Direct simulation of internal wave energy transfer. J. Phys. Oceanogr. 1997, 27:1937-1945.
249. Wolfe C.L., Cessi P. What sets the strength of the middepth stratification and overturning circulation in eddying ocean models?. J. Phys. Oceanogr. 2010, 40(7):1520-1538.
250. Wolk F., Lueck R.G., St Laurent L. Turbulence measurements from a glider. OCEANS 2009, MTS/IEEE Biloxi-Marine Technology for Our Future: Global and Local Challenges 2009, 1-6.
251. Wunsch C., Ferrari R. Vertical mixing, energy and the general circulation of the oceans. Annu. Rev. Fluid Mech. 2004, 36:281-412.
252. Young K. Biogenic inputs to ocean mixing. J. Exp. Biol. 2012, 215:1040-1049.
253. Young W., Ben-Jelloul M. Propagation of near-inertial oscillations through a geostrophic flow. J. Mar. Res. 1997, 55:735-766.
254. Zervakis V., Levine M. Near-inertial energy propagation from the mixed layer: theoretical considerations. J. Phys. Oceanogr. 1995, 25:2872-2889.
255. Zhai X., Johnson H.L., Marshall D.P. Significant sink of ocean-eddy energy near western boundaries. Nat. Geosci. 2010, 3:608-612.
256. Zhao Z., Alford M.H. New altimetric estimates of mode-one M2 internal tides in the Central North Pacific Ocean. J. Phys. Oceanogr. 2009, 39:1669-1684.
257. Zhao Z., Alford M.H., MacKinnon J.A., Pinkel R. Long-range propagation of the semidiurnal internal tide from the Hawaiian Ridge. J. Phys. Oceanogr. 2010, 40(4):713-736.
258. Zika J.D., Sloyan B., McDougall T.J. Diagnosing the Southern Ocean overturning from tracer fields. J. Phys. Oceanogr. 2009, 39(11):2926-2940.