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f67abf1ee3 Jeff*0001 Parameter sensitivity using the adjoint of MITgcm
0002 -------------------------------------------------
0003
0004 Forward and tangent linear counterparts of MITgcm are supported using an
0005 ‘automatic adjoint compiler’. These can be used in parameter sensitivity and
0006 data assimilation studies.
0007
0008 As one example of application of the MITgcm adjoint, :numref:`adj_hf_ocean_figure`
0009 maps the gradient :math:`\frac{\partial J}{\partial\mathcal{H}}` where :math:`J` is the magnitude of the overturning
0010 stream-function shown in :numref:`large-scale-circ2` at
0011 60°N and :math:`\mathcal{H}(\lambda,\varphi)` is the mean, local
0012 air-sea heat flux over a 100 year period. We see that :math:`J` is sensitive
0013 to heat fluxes over the Labrador Sea, one of the important sources of
0014 deep water for the thermohaline circulations. This calculation also
0015 yields sensitivities to all other model parameters.
0016
0017 .. figure:: figs/adj_hf_ocean.*
0018 :width: 100%
0019 :align: center
0020 :alt: adj_hf_ocean_figure
0021 :name: adj_hf_ocean_figure
0022
08815fc806 Jeff*0023 Sensitivity of meridional overturning strength to surface heat flux changes. Contours show the magnitude of the response (in Sv x 10\ :sup:`-4` \) that a persistent +1 Wm\ :sup:`-2` \ heat flux anomaly at a given grid point would produce.
