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A mechanistic model of isopycnal diffusion in the ocean

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Abstract

A two-dimensional (xz) box ocean model, is formulated to examine the mechanistic role of isopycnal diffusion (i.e. diffusion along a constant density surface) as compared to that of horizontal/vertical diffusion. A large-scale surface temperature anomaly forces a steady solution. The presence of isopycnal diffusion substantially increases the vertical penetration in the steady state: the vertical heat flux is increased by an order of magnitude in some locations. The time scale of the transient response is also modified, and the nature of this response is scale dependent. It is thus not possible in general to reproduce the transient response with isopycnal diffusion by adjusting diffusitives in a lateral diffusion formulation. Implications of the results to climate modelling are considered.

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References

  1. Cox MD, Bryan K (1984) A numerical model of the ventilated thermocline. J Phys Oceanogr 14:674–687

  2. Hansen J, Lacis A, Rind D, Russell G, Stone P, Fung I, Ruedy R, Lerner J (1984) Climate sensitivity: analysis of feedback mechanisms. In: Hansen JE, Takahashi T (eds) Climate processes and climate sensitivity. American Geophysical Union. Washington, pp 130–163.

  3. Killworth PD (1983) Deep convection in the world ocean. Rev Geophys Space Phys 21:1–26

  4. McDougall TH, Church JA (1984) Pitfalls with the numerical representation of isopycnal and diapycnal mixing. J Phys Oceanogr 16:196–199.

  5. Redi MH (1982) Oceanic isopycnal mixing by coordinate rotation. J Phys Oceanogr 12:1154–1158.

  6. Sarmiento JL (1983) A simulation of bomb tritium entry into the Atlantic Ocean. J Phys Oceanogr 13:1924–1939

  7. Schlesinger ME, Gates WL, Han YJ (1985) The role of the ocean in CO2-induced climate change: preliminary results from the OSIJ coupled atmosphere-ocean GCM. In: Nihoul JCJ (ed) Coupled ocean-atmosphere models Elsevier, Amsterdam Oxford New York Tokyo, pp 447–478.

  8. Veronis G (1975) The role of models on tracer studies. National Academy of Sciences, Numerical Models of Ocean Circulation. National Academy of Sciences. Washington, pp 133–146.

  9. Wigley TML, Schlesinger ME (1985) Analytical solution for the effect of increasing CO2 on global mean temperatures. Nature 315:649–652.

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Lin, C.A. A mechanistic model of isopycnal diffusion in the ocean. Climate Dynamics 2, 165–171 (1988). https://doi.org/10.1007/BF01053473

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Keywords

  • Steady State
  • Heat Flux
  • Surface Temperature
  • Mechanistic Model
  • Density Surface