Sensitivity of functionals to observation data in a variational assimilation problem for the sea thermodynamics model
V.P. Shutyaev1,2, E.I. Parmuzin1
1Institute of Numerical Mathematics, RAS, Moscow, 119333, Russia
2Marine Hydrophysical Institute of RAS, Sevastopol, 299011, Russia
Keywords: вариационное усвоение данных наблюдений, оптимальное управление, сопряженные уравнения, ковариационные матрицы, чувствительность функционалов, температура поверхности моря, variational data assimilation, optimal control, adjoint equations, covariance matrices, sensitivity of functionals, sea surface temperature
Abstract
For the mathematical model of the sea thermodynamics, developed in the Institute of Numerical Mathematics of the Russian Academy of Sciences, the problem of variational assimilation of the sea surface temperature data is considered, with allowance for the observation data error covariance matrices. Based on the variational assimilation of satellite observation data, the inverse problem of restoring a heat flux on the sea surface is solved. The sensitivity of functionals with respect to observation data in a problem of variational assimilation is studied, and the results of numerical experiments for the model of the Baltic Sea dynamics are presented.
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