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A traceable physical calibration of the vertical advection‐diffusion equation for modeling ocean heat uptake
Author(s) -
Huber Markus,
Tailleux Remi,
Ferreira David,
Kuhlbrodt Till,
Gregory Jonathan
Publication year - 2015
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1002/2015gl063383
Subject(s) - isopycnal , advection , thermal diffusivity , environmental science , diffusion , turbulence , mechanics , mixing (physics) , residual , meteorology , geology , climatology , thermodynamics , physics , mathematics , algorithm , quantum mechanics
The classic vertical advection‐diffusion (VAD) balance is a central concept in studying the ocean heat budget, in particular in simple climate models (SCMs). Here we present a new framework to calibrate the parameters of the VAD equation to the vertical ocean heat balance of two fully‐coupled climate models that is traceable to the models' circulation as well as to vertical mixing and diffusion processes. Based on temperature diagnostics, we derive an effective vertical velocity w ∗ and turbulent diffusivityk ν ∗for each individual physical process. In steady state, we find that the residual vertical velocity and diffusivity change sign in middepth, highlighting the different regional contributions of isopycnal and diapycnal diffusion in balancing the models' residual advection and vertical mixing. We quantify the impacts of the time evolution of the effective quantities under a transient 1% CO 2 simulation and make the link to the parameters of currently employed SCMs.