ISSN 2070-7401 (Print), ISSN 2411-0280 (Online)
Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa


Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2014, Vol. 11, No. 4, pp. 17-30

Sensitivity of the optimal solution of a variational data assimilation problem for the Baltic Sea thermodynamics model

V.P. Shutyaev1 , S.A. Lebedev2,3  , E.I. Parmuzin1 , N.B. Zakharova1 
1 Institute of Numerical Mathematics RAS, Moscow 119333, Russia
2 Geophysical Center RAS, Moscow 119296, Russia
3 Space Research Institute RAS, Moscow 117997, Russia
The most versatile and promising technology for solving problems of monitoring and analysis of the natural environment is a four-dimensional variational data assimilation of observation data. In such problems, not only the development and justification of algorithms for numerical solution of variational data assimilation problems but the properties of the optimal solution play an important role. Currently, the question about the sensitivity of the solutions to the errors of these observations remains underexplored.
In this work, the algorithms are formulated to study the sensitivity of the optimal solution with respect to the observation data errors in a variational data assimilation problem with the aim to restore the heat fluxes using the sea surface temperature data for the time-dependent system of thermodynamic equations. The satellite data of the sea surface temperature used to construct the observation data field that is used in the data assimilation procedure. The results of numerical experiments applied to the numerical model of the Baltic Sea thermodynamics are presented.
Keywords: mathematical modeling, satellite observation data, variational data assimilation, optimal control, adjoint equation, sensitivity to the observation error
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