On a simple empirical parameterization of topography-catalyzed diapycnal mixing in the abyssal ocean

Journal of Physical Oceanography

Volumn 40, Issue 3, 2010, Pages 487-508

  Decloedt, Thomas ^a   Luther, Douglas S ^a  

^a UNIVERSITY OF HAWAII   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOTTOM TOPOGRAPHY; BOUNDARY VALUES; DIAPYCNAL DIFFUSIVITY; DIAPYCNAL MIXING; DIFFUSIVITIES; ENERGY SOURCE; EXPONENTIAL DECAYS; HYDROGRAPHIC DATA; INVERSE SQUARE LAW; MEAN DIFFUSIVITY; MECHANICAL ENERGIES; MIXING PROCESS; OBSERVATIONAL STUDY; OCEANIC REGIONS; PARAMETERIZATIONS; PARAMETERIZED; PHYSICAL PARAMETERIZATION; POWER CONSUMPTION; SEA FLOOR; SPATIAL AVERAGE; SPATIAL DISTRIBUTION; TOPOGRAPHIC ROUGHNESS; TURBULENT MIXING; VERTICAL PROFILE; VERTICAL STRUCTURES;

DIFFUSION; MICROSTRUCTURE; MIXING; OCEAN CURRENTS; SIZE DISTRIBUTION; TOPOGRAPHY;

PARAMETERIZATION;

ABYSSAL ZONE; BOTTOM TOPOGRAPHY; DIFFUSION; NUMERICAL MODEL; PARAMETERIZATION; SEAFLOOR; STRATIFICATION; SURFACE ROUGHNESS; TURBULENT MIXING;

EID: 77953276633     PISSN: 00223670     EISSN: None     Source Type: Journal    
DOI: 10.1175/2009JPO4275.1     Document Type: Article

References (104)

1. Alford, M. H., 2003: Improved global maps and 54-year history of wind-work on ocean inertial motions. Geophys. Res. Lett., 30, 1424, doi:10.1029/2002GL016614.
2. Althaus, A. M., E. Kunze, and T. B. Sanford, 2003: Internal tide radiation from Mendocino Escarpment. J. Phys. Oceanogr., 33, 1510-1527.
3. Armi, L., 1978: Some evidence for boundary mixing in the deep ocean. J. Geophys. Res., 83 (C4), 1971-1979.
4. Aucan, J., and M. A. Merrifield, 2008: Boundary mixing associated with tidal and near-inertial internal waves. J. Phys. Oceanogr., 38, 1238-1252.
5. Aucan, J., M. A. Merrifield, D. S. Luther, and P. Flament, 2006: Tidal mixing events on the deep flanks of Kaena Ridge, Hawaii. J. Phys. Oceanogr., 36, 1202-1219.
6. Baker, M. A., and C. H. Gibson, 1987: Sampling turbulence in the stratified ocean-Statistical consequences of strong intermittency. J. Phys. Oceanogr., 17, 1817-1836.
7. Bell, T., 1975: Lee waves in stratified flows with simple harmonic time dependence. J. Fluid Mech., 67, 705-722.
8. Bray, N. A., and N. P. Fofonoff, 1981: Available potential energy for MODE eddies. J. Phys. Oceanogr., 11, 30-46.
9. Broersen, P., 2002: Automatic spectral analysis with time series models. IEEE Trans. Instrum. Meas., 51, 211-216.
10. Bryan, K., and L. Lewis, 1979: A water mass model of the world ocean. J. Geophys. Res., 84 (C5), 2503-2517.
11. Carter, G. S., M. C. Gregg, and M. A. Merrifield, 2006: Flow and mixing around a small seamount on Kaena Ridge, Hawaii. J. Phys. Oceanogr., 36, 1036-1052.
12. De Szoeke, R. A., and A. F. Bennet, 1993: Microstructure fluxes across density surfaces. J. Phys. Oceanogr., 23, 2254-2264.
13. Dewar, W. K., R. J. Bingham, R. L. Iverson, D. P. Nowacek, L. C. St. Laurent, and P. H. Wiebe, 2006: Does the marine biosphere mix the ocean? J. Mar. Res., 64, 541-561.
14. Egbert, G. D., and R. D. Ray, 2001: Estimates of M-2 tidal energy dissipation from TOPEX/Poseidon altimeter data. J. Geophys. Res., 106 (C10), 22 475-22 502.
15. Egbert, G. D., and R. D. Ray, 2003: Semi-diurnal and diurnal tidal dissipation from TOPEX/Poseidon altimetry. Geophys. Res. Lett., 30, 1907, doi:10.1029/2003GL017676.
16. Eriksen, C. C., 1998: Internal wave reflection and mixing at Fieberling Guyot. J. Geophys. Res., 103 (C2), 2977-2994.
17. Ferron, B., H. Mercier, K. Speer, A. Gargett, and K. Polzin, 1998: Mixing in the Romanche Fracture Zone. J. Phys. Oceanogr., 28, 1929-1945.
18. Finnigan, T. D., D. S. Luther, and R. Lukas, 2002: Observations of enhanced diapycnal mixing near the Hawaiian ridge. J. Phys. Oceanogr., 32, 2988-3002.
19. Ganachaud, A., 2003: Error budget of inverse box models: The North Atlantic. J. Atmos. Oceanic Technol., 20, 1641-1655.
20. Ganachaud, A., and C. Wunsch, 2000: Improved estimates of global ocean circulation, heat transport and mixing from hydrographic data. Nature, 408, 453-457.
21. Garabato, A. C. N., K. L. Polzin, B. A. King, K. J. Heywood, and M. Visbeck, 2004: Widespread intense turbulent mixing in the Southern Ocean. Science, 303, 210-213.
22. Garrett, C., and D. Gilbert, 1988: Estimates of vertical mixing by internal waves reflected of a sloping bottom. Small-Scale Turbulence and Mixing in the Ocean, J. Nihoul and B. Jamart, Eds., Elsevier, 405-424.
23. Gille, S. T., M. M. Yale, and D. T. Sandwell, 2000:Global correlation of mesoscale ocean variability with seafloor roughness from satellite altimetry. Geophys. Res. Lett., 27, 1251-1254.
24. Gouretski, V., and K. Jancke, 1998: A new climatology for the world ocean. WOCE Hydrographic Program Special Analysis Centre Tech. Rep. 3, 40 pp.
25. Gregg, M. C., 1987: Diapycnal mixing in the thermocline-A review. J. Geophys. Res., 92 (C5), 5249-5286.
26. Gregg, M. C., and T. B. Sanford, 1980: Signatures of mixing from the Bermuda Slope, the Sargasso Sea and the Gulf Stream. J. Phys. Oceanogr., 10, 105-127.
27. Gregg, M. C., H. E. Seim, and D. B. Percival, 1993: Statistics of shear and turbulent dissipation profiles in random internal wave fields. J. Phys. Oceanogr., 23, 1777-1799.
28. Gregg, M. C., T. B. Sanford, and D. P. Winkel, 2003: Reduced mixing from the breaking of internal waves in equatorial waters. Nature, 422, 513-515.
29. Hasumi, H., and N. Suginohara, 1999: Effects of locally enhanced vertical diffusivity over rough bathymetry on the world ocean circulation. J. Geophys. Res., 104 (C10), 23 367-23 374.
30. Henyey, F., J. Wright, and S. Flatte, 1986: Energy and action flow through the internal wave field: An eikonal approach. J. Geophys. Res., 91 (C7), 9686-9698.
31. Hibiya, T., M. Nagasawa, and Y. Niwa, 2006: Global mapping of diapycnal diffusivity in the deep ocean based on the results of expendable current profiler (XCP) surveys. Geophys. Res. Lett., 33, L03611, doi:10.1029/2005GL025218.
32. Huang, R. X., and X. Z. Jin, 2002: Deep circulation in the South Atlantic induced by bottom-intensified mixing over the midocean ridge. J. Phys. Oceanogr., 32, 1150-1164.
33. Ivey, G. N., 1987: The role of boundary mixing in the deep ocean. J. Geophys. Res., 92 (C11), 11 873-11 878.
34. Jayne, S. R., 2009: The impact of abyssal mixing parameterizations in an ocean general circulationmodel. J. Phys.Oceanogr., 39, 1756-1775.
35. Jayne, S. R., and L. C. St. Laurent, 2001: Parameterizing tidal dissipation over rough topography. Geophys. Res. Lett., 28, 811-814.
36. Jayne, S. R., L. C. St. Laurent, and S. Gille, 2004: Connections between ocean bottom topography and Earth's climate. Oceanography, 17, 65-74.
37. Katsman, C. A., 2006: Impacts of localized mixing and topography on the stationary abyssal circulation. J. Phys. Oceanogr., 36, 1660-1671.
38. Klymak, J. M., and Coauthors, 2006: An estimate of tidal energy lost to turbulence at the Hawaiian Ridge. J. Phys. Oceanogr., 36, 1148-1164.
39. Klymak, J. M., R. Pinkel, and L. Rainville, 2008: Direct breaking of the internal tide near topography: Kaena Ridge. J. Phys. Oceanogr., 38, 380-399.
40. Koch-Larrouy, A., G. Madec, P. Bouruet-Aubertot, T. Gerkema, L. Bessieres, and R. Molcard, 2007: On the transformation of Pacific Water into Indonesian Throughflow Water by internal tidal mixing. Geophys. Res. Lett., 34, L04604, doi:10.1029/2006GL028405.
41. Kuhlbrodt, T.,A.Griesel,M.Montoya,A. Levermann,M.Hofmann, and S. Rahmstorf, 2007: On the driving processes of the Atlantic meridional overturning circulation. Rev. Geophys., 45, RG2001, doi:10.1029/2004RG000166.
42. Kunze, E., and T. B. Sanford, 1996: Abyssal mixing: Where it is not. J. Phys. Oceanogr., 26, 2286-2296.
43. Kunze, E., and J. M. Toole, 1997: Tidally driven vorticity, diurnal shear, and turbulence atop Fieberling Seamount. J. Phys. Oceanogr., 27, 2663-2693.
44. Kunze, E., E. Firing, J. M. Hummon, T. K. Chereskin, and A. M. Thurnherr, 2006: Global abyssal mixing inferred from lowered ADCP shear and CTD strain profiles. J. Phys. Oceanogr., 36, 1553-1576.
45. Ledwell, J. R., E. T. Montgomery, K. L. Polzin, L. C. St. Laurent, R. W. Schmitt, and J. M. Toole, 2000: Evidence for enhanced mixing over rough topography in the abyssal ocean. Nature, 403, 179-182.
46. Lee, C., E. Kunze, T. B. Sanford, J. D. Nash, M. A. Merrifield, and P. E. Holloway, 2006: Internal tides and turbulence along the 3000-m isobath of the Hawaiian Ridge. J. Phys. Oceanogr., 36, 1166-1183.
47. Legg, S., 2003: Internal wave breaking at variable topographic slopes. Near-Boundary Processes and Their Parameterization: Proc. 13th 'Aha Huliko'a Hawaiian Winter Workshop, Honolulu, HI, University of Hawaii at Manoa, 69-72. [Available online at http://www.soest.hawaii.edu/PubServices/2003pdfs/Legg.pdf.]
48. Levine, M. D., and T. J. Boyd, 2006: Tidally forced internal waves and overturns observed on a slope: Results from HOME. J. Phys. Oceanogr., 36, 1184-1201.
49. Lozovatsky, I. D., H. J. S. Fernando, and S. M. Shapolav, 2008: Deep-ocean mixing on the basin scale: Inference from North-Atlantic studies. Deep-Sea Res. I, 55, 1075-1089.
50. Lueck, R., and R. Reid, 1984: On the production and dissipation of mechanical energy in the ocean. J. Geophys. Res., 89 (C3), 3439-3445.
51. Lukas, R., F. Santiago-Mandujano, F. Bingham, and A. Mantyla, 2001: Cold bottom water events observed in the Hawaii ocean time series: Implications for vertical mixing. Deep-Sea Res. I, 48, 995-1021.
52. Lumpkin, R., and K. Speer, 2003: Large-scale vertical and horizontal circulation in the North Atlantic Ocean. J. Phys. Oceanogr., 33, 1902-1920.
53. Lumpkin, R., and K. Speer, 2007: Global ocean meridional overturning. J. Phys. Oceanogr., 37, 2550-2562.
54. Mackinnon, J. A., and K. B. Winters, 2003: Spectral evolution of bottom-forced internal waves. Near-Boundary Processes and Their Parameterization: Proc. 13th 'Aha Huliko'a Hawaiian Winter Workshop, Honolulu, HI, University of Hawaii at Manoa, 73-83. [Available online at http://www.soest.hawaii.edu/PubServices/2003pdfs/Mackinnon.pdf.]
55. Mackinnon, J. A., T. M. S. Johnston, and R. Pinkel, 2008: Strong transport and mixing of deep water through the southwest Indian Ridge. Nature Geosci., 1, 755-758.
56. Marshall,D. P., andA. C.Naveira Garabato, 2008:Aconjecture on the role of bottom-enhanced diapycnal mixing in the parameterization of geostrophic eddies. J. Phys. Oceanogr., 38, 1607-1613.
57. Martin, J. P., and D. L. Rudnick, 2007: Inferences and observations of turbulent dissipation and mixing in the upper ocean at the Hawaiian Ridge. J. Phys. Oceanogr., 37, 476-494.
58. Martin, J. P., D. L. Rudnick, and R. Pinkel, 2006: Spatially broad observations of internal waves in the upper ocean at the Hawaiian Ridge. J. Phys. Oceanogr., 36, 1085-1103.
59. McComas, C. H., and P. Müller, 1981: The dynamic balance of internal waves. J. Phys. Oceanogr., 11, 970-986.
60. McDougall, T. J., 1991: Parameterizing mixing in inverse models. Dynamics of Oceanic Internal Gravity Waves: Proc. 'AhaHuliko' a Hawaiian Winter Workshop, Honolulu, HI, University of Hawaii at Manoa, 355-386. [Available online at http://www.soest.hawaii.edu/PubServices/1991pdfs/McDougall.pdf.]
61. Merrifield, M. A., and P. E. Holloway, 2002: Model estimates of M2 internal tide energetics at the Hawaiian Ridge. J. Geophys. Res., 107, 3179, doi:10.1029/2001JC000996.
62. Montgomery, E. T., 1998: Use of the High Resolution Profiler (HRP) in the Brazil Basin Tracer Release Experiment. Woods Hole Oceanographic Institution Tech. Rep. 98-08, 38 pp.
63. Montgomery, E. T., and J. M. Toole, 1993: Fine-and microstructure observations at Fieberling Guyot. R/V New Horizon cruise report. Woods Hole Oceanographic Institution Tech. Rep. 93-51, 27 pp.
64. Morris, M. Y., M. M. Hall, L. C. St. Laurent, and N. G. Hogg, 2001: Abyssal mixing in the Brazil Basin. J. Phys. Oceanogr., 31, 3331-3348.
65. Müller, P., and N. Xu, 1992: Scattering of oceanic internal gravity-waves off random bottom topography. J. Phys. Oceanogr., 22, 474-488.
66. Munk, W., 1966: Abyssal recipes. Deep-Sea Res. I, 13, 207-230.
67. Munk, W., and C. Wunsch, 1998: Abyssal recipes II: Energetics of tidal and wind mixing. Deep-Sea Res. I, 45, 1977-2010.
68. Nash, J. D., E. Kunze, J. M. Toole, and R. W. Schmitt, 2004: Internal tide reflection and turbulent mixing on the continental slope. J. Phys. Oceanogr., 34, 1117-1134.
69. Oakey, N. S., 1982: Determination of the rate of dissipation of turbulent energy fromsimultaneous temperature and velocity shear microstructure measurements. J. Phys. Oceanogr., 12, 256-271.
70. Osborn, T. R., 1980: Estimates of the local-rate of vertical diffusion from dissipation measurements. J. Phys. Oceanogr., 10, 83-89.
71. Pinkel, R., 2008: The wavenumber-frequency spectrum of vortical and internal-wave shear in the western Arctic Ocean. J. Phys. Oceanogr., 38, 277-290.
72. Polzin, K., 1992: Observations of turbulence, internal waves and background flows:An inquiry into relationships between scales of motion. Ph.D. dissertation, MIT-WHOI Joint Program in Oceanography, WHOI Tech. Rep. WHOI-92-39, 244 pp.
73. Polzin, K., 1999: A rough recipe for the energy balance of quasi-steady internal leewaves. Dynamics of Oceanic Internal Gravity Waves, II: 'Aha Huliko'a Hawaiian Winter Workshop, Honolulu, HI, University of Hawaii at Manoa, 117-128. [Available online at http://www.soest.hawaii.edu/PubServices/1999pdfs/Polzin.pdf.]
74. Polzin, K., 2004: Idealized solutions for the energy balance of the finescale internal wave field. J. Phys. Oceanogr., 34, 231-246.
75. Polzin, K., 2009: An abyssal recipe. Ocean Modell., 30 (4), 298-309.
76. Polzin, K., and E. Firing, 1997: Estimates of diapycnal mixing using LADCP and CTD data from I8S. International WOCE Newsletter, No. 29, WOCE International Project Office, Southampton, United Kingdom, 39-42.
77. Polzin, K., J. M. Toole, and R. W. Schmitt, 1995: Finescale parameterizations of turbulent dissipation. J. Phys.Oceanogr., 25, 306-328.
78. Polzin, K., J. M. Toole, J. R. Ledwell, andR.W. Schmitt, 1997: Spatial variability of turbulent mixing in the abyssal ocean. Science, 276, 93-96.
79. Rainville, L., and R. Pinkel, 2006a: Baroclinic energy flux at the Hawaiian Ridge: Observations from the R/P FLIP. J. Phys. Oceanogr., 36, 1104-1122.
80. Rainville, L., and R. Pinkel, 2006b: Propagation of low-mode internal waves through the ocean. J. Phys. Oceanogr., 36, 1220-1236.
81. Rudnick, D. L., and Coauthors, 2003: From tides to mixing along the Hawaiian ridge. Science, 301, 355-357.
82. Saenko, O. A., 2006: The effect of localized mixing on the ocean circulation and time-dependent climate change. J. Phys. Oceanogr., 36, 140-160.
83. Saenko, O. A., 2008: On the strong seasonal currents in the deep ocean. J. Climate, 21, 5642-5656.
84. Saenko, O. A., and W. J. Merryfield, 2005: On the effect of topographically enhanced mixing on the global ocean circulation. J. Phys. Oceanogr., 35, 826-834.
85. Samelson, R. M., 1998: Large-scale circulation with locally enhanced vertical mixing. J. Phys. Oceanogr., 28, 712-726.
86. Seber, G. A. F., and C. J. Wild, 1989: Nonlinear Regression. John Wiley and Sons, 768 pp.
87. Simmons, H. L., R. W. Hallberg, and B. K. Arbic, 2004a: Internal wave generation in a global baroclinic tide model. Deep-Sea Res. II, 51, 3043-3068.
88. Simmons, H. L., S. R. Jayne, L. C. St. Laurent, and A. J. Weaver, 2004b: Tidally driven mixing in a numerical model of the ocean general circulation. Ocean Modell., 6, 245-263.
89. Sloyan, B. M., 2005: Spatial variability of mixing in the Southern Ocean. Geophys. Res. Lett., 32, L18603, doi:10.1029/2005GL023568.
90. Smith, W. H. F., and D. T. Sandwell, 1997: Global sea floor topography from satellite altimetry and ship depth soundings. Science, 277, 1956-1962.
91. St. Laurent, L., 1999: Diapycnal advection by double diffusion and turbulence in the ocean. Ph.D dissertation, MIT-WHOI Joint Program in Oceanography, 139 pp.
92. St. Laurent, L., and J. D. Nash, 2003: Internal tide energy dissipated near topography. Near-Boundary Processes and Their Parameterization: Proc. 13th 'Aha Huliko'a Hawaiian Winter Workshop, Honolulu, HI, University of Hawaii at Manoa, 45-58. [Available online at http://www.soest.hawaii.edu/PubServices/2003pdfs/Stlaurent.pdf.]
93. St. Laurent, L., and H. Simmons, 2006: Estimates of power consumed by mixing in the ocean interior. J. Climate, 19, 4877-4890.
94. St. Laurent, L., J. M. Toole, and R. W. Schmitt, 2001: Buoyancy forcing by turbulence above rough topography in the abyssal Brazil Basin. J. Phys. Oceanogr., 31, 3476-3495.
95. St. Laurent, L., H. L. Simmons, and S. R. Jayne, 2002: Estimating tidally driven mixing in the deep ocean. Geophys. Res. Lett., 29, 2106, doi:10.1029/2002GL015633.
96. Talley, L. D., 2003: Shallow, intermediate and deep overturning components of the global heat budget. J. Phys. Oceanogr., 33, 530-560.
97. Thurnherr, A. M., L. C. St. Laurent, K. G. Speer, J. M. Toole, and J. R. Ledwell, 2005: Mixing associated with sills in a canyon on the midocean ridge flank. J. Phys. Oceanogr., 35, 1370-1381.
98. Toole, J. M., 1998: Turbulent mixing in the ocean. Ocean Modeling and Parameterization, E. P. Chassignet and J. Veron, Eds., NATO Science Series C, Vol. 516, 171-187.
99. Toole, J. M., 2007: Temporal characteristics of abyssal finescale motions above rough bathymetry. J. Phys. Oceanogr., 37, 409-427.
100. Toole, J. M., R. W. Schmitt, K. L. Polzin, and E. Kunze, 1997: Nearboundary mixing above the flanks of a midlatitude seamount. J. Geophys. Res., 102 (C1), 947-959.
101. Williams, P. D., T. W. Haine, and P. L. Read, 2008: Inertia-gravity waves emitted from balanced flow: Observations, properties, and consequences. J. Atmos. Sci., 65, 3543-3556.
102. Wunsch, C., and R. Ferrari, 2004: Vertical mixing, energy and the general circulation of the oceans. Annu. Rev. Fluid Mech., 36, 281-314.
103. Zaron, E. D., and G. D. Egbert, 2006: Estimating open-ocean barotropic tidal dissipation: The Hawaiian Ridge. J. Phys. Oceanogr., 36, 1019-1035.
104. Zhang, J. B., R. W. Schmidt, and R. X. Huang, 1999: The relative influence of diapycnal mixing and hydrologic forcing on the stability of the thermohaline circulation. J. Phys. Oceanogr., 29, 1096-1108.