Stability of the optimal solution to the problem of variational assimilation with error covariance matrices of observational data for the sea thermodynamics model

V. P. Shutyaev ; E. I. Parmuzin

Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 2, pp. 225-242.

Résumé

A mathematical model of the sea thermodynamics, developed at the Institute of Numerical Mathematics of the Russian Academy of Sciences is considered. The problem of variational assimilation of daily-averaged sea surface temperature (SST) data is formulated and investigated taking into account the observation error covariance matrices. On the basis of variational assimilation of satellite observation data, the inverse problem of restoring a heat flux on the sea surface is solved. The stability of the optimal solution of the problem of variational data assimilation is studied, and the results of numerical experiments for the model of the Baltic Sea dynamics are presented.

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