LIANG Hui, ZHAO Wei, DAI Dejun, ZHANG Jun. Estimation of vertical diffusion coefficient based on a onedimensional temperature diffusion equation with an inverse method[J]. Acta Oceanologica Sinica, 2014, 33(5): 28-36. doi: 10.1007/s13131-014-0472-z
Citation: LIANG Hui, ZHAO Wei, DAI Dejun, ZHANG Jun. Estimation of vertical diffusion coefficient based on a onedimensional temperature diffusion equation with an inverse method[J]. Acta Oceanologica Sinica, 2014, 33(5): 28-36. doi: 10.1007/s13131-014-0472-z

Estimation of vertical diffusion coefficient based on a onedimensional temperature diffusion equation with an inverse method

doi: 10.1007/s13131-014-0472-z
  • Received Date: 2012-04-17
  • Rev Recd Date: 2013-07-08
  • Diapycnal mixing is important in oceanic circulation. An inverse method in which a semi-explicit scheme is applied to discretize the one-dimensional temperature diffusion equation is established to estimate the vertical temperature diffusion coefficient based on the observed temperature profiles. The sensitivity of the inverse model in the idealized and actual conditions is tested in detail. It can be found that this inverse model has high feasibility under multiple situations ensuring the stability of the inverse model, and can be considered as an efficient way to estimate the temperature diffusion coefficient in the weak current regions of the ocean. Here, the hydrographic profiles from Argo floats are used to estimate the temporal and spatial distribution of the vertical mixing in the north central Pacific based on this inverse method. It is further found that the vertical mixing in the upper ocean displays a distinct seasonal variation with the amplitude decreasing with depth, and the vertical mixing over rough topography is stronger than that over smooth topography. It is suggested that the high-resolution profiles from Argo floats and a more reasonable design of the inverse scheme will serve to understand mixing processes.
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  • Alford M H. 2001. Internal swell generation: The spatial distribution of energy flux from the wind to mixed layer nearinertial motions. J Phys Oceanogr, 31: 2359-2368, doi: 10.1175/1520-0485(2001)031<2359:ISGTSD>2.0.CO;2
    Cisewski B, Strass V H, Prandke H. 2005. Upper-ocean vertical mixing in the Antarctic Polar Front Zone. Deep-Sea Res: Part II, 52: 1087-1108
    Dai Dejun, Qiao Fangli, Xia Changshui, et al. 2006. A numerical study on dynamic mechanisms of seasonal temperature variability in the Yellow Sea. J Geophys Res, 111: C11S05, doi: 10.1029/2005JC003253
    Decloedt T, Luther D S. 2010. On a simple empirical parameterization of topography-catalyzed diapycnal mixing in the abyssal ocean. J Phys Oceanogr, 40: 487-508
    Egbert G D, Ray R D. 2001. Estimates of M2 tidal energy dissipation from TOPEX/Poseidon altimeter data. J Geophys Res, 106: 22475-22502, doi: 10.1029/2000JC000699
    Finnigan T D, Luther D S, Lukas R. 2002. Observations of Enhanced Diapycnal Mixing near the Hawaiian Ridge. J Phys Oceanogr, 32: 2988-3002
    Ganachaud A, Wunsch C. 2000. Improved estimates of global ocean circulation, heat transport and mixing from hydrographic data. Nature, 408: 453-457
    Gill A E, Green J S A, Simmons A J. 1974. Energy partition in the largescale ocean circulation and the production of mid-ocean eddies. Deep-Sea Res, 21: 499-528
    Gregg M C. 1989. Scaling turbulent dissipation in the thermocline. J Geophys Res, 94: 9686-9698
    Gregg M C, Sanford T B, Winkel D P. 2003. Reduced mixing from the breaking of internal waves in equatorial waters. Nature, 422(6931): 513-515
    Hasumi H, Suginohara N. 1999. Effects of locally enhanced vertical diffusivity over rough bathymetry on the world ocean circulation. J Geophys Res, 104(C10): 23367-23374
    Jayne S R. 2009. The impact of abyssal mixing parameterization in an ocean general circulation model. J Phys Oceanogr, 39: 1756-1775
    Jing Zhao, Wu Lixin. 2010. Seasonal variation of turbulent diapycnal mixing in the northwestern Pacific stirred by wind stress. Geophys Res Lett, 37: L23604, doi: 10.1029/2010GL045418
    Kunze E, Firing E, Hummon J M, et al. 2006. Global abyssal mixing inferred from lowered ADCP shear and CTD strain profiles. J Phys Oceanogr, 36(8): 1553-1576
    Ledwell J R, Montgomery E T, Polzin K L, et al. 2000. Evidence for enhanced mixing over rough topography in the abyssal ocean. Nature, 403(13): 179-182
    Ledwell J R, Watson A J, Law C S. 1993. Evidence for slow mixing across the pysnocline from an open ocean tracer release experiment. Nature, 364: 701-703
    Lumpkin R, Speer K. 2007. Global ocean meridional overturning. J Phys Oceanogr, 37: 2550-2562
    Munk W, Wunsch C. 1998. Abyssal recipes II: energetics of tidal and wind mixing. Deep-Sea Res, 45: 1977-2010
    Naveira Garabato A C, Polzin K L, King B A, et al. 2004. Widespread intense turbulent mixing in the Southern Ocean. Science, 303: 210-213
    Osborn T R. 1980. Estimates of the local-rate of vertical diffusion from dissipation measurements. J Phys Oceanogr, 10: 83-89
    Osborn T R, Cox C S. 1972. Oceanic fine structure. Geophysical Fluid Dynamics, 3: 321-345
    Polzin K L, Toole J M, Ledwell J R, et al. 1997. Spatial Variability of Turbulent Mixing in the Abyssal Ocean. Science, 276: 93-96
    Quay P D, Broecker W S, Hesslein R H, et al. 1980. Vertical diffusion rates determined by tritium tracer experiments in the thermocline and hypolimnion of two lakes. Limnol Oceanogr, 25(2): 201-218
    Rudnick D L, Boyd T J, Brainard R E, et al. 2003. From Tides to Mixing Along the Hawaiian Ridge. Science, 301: 355-357
    Saenko O A, Merryfield W J. 2005. On the effect of topographically enhanced mixing on the global ocean circulation. J Phys Oceanogr, 35: 826-834
    Simmons H L, Jayne S R, Laurent Louis C S, et al. 2004. Tidally driven mixing in a numerical model of the ocean general circulation. Ocean Modell, 6: 245-263
    Thompson A F, Gille S T, Mackinnon J A, et al. 2007. Spatial and temporal patterns of small-scale mixing in Drake Passage. J Phys Oceanogr, 37: 572-592
    Thorpe S A. 1977. Turbulence and mixing in a Scottish Loch. Philosophical Transactions of the Royal Society of London: Series A, 286: 125-181
    Wunsch C, Ferrari R. 2004. Vertical mixing, energy, and the general circulation of the oceans. Annual Review of Fluid Mechanics, 36: 281-314
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