Sensitivity of Functionals of Solution to a Variational Data Assimilation Problem with Simultaneous Reconstruction of Heat Fluxes and Initial State for a Sea Thermodynamics Model

Abstract

A problem of variational assimilation of data is considered in order to simultaneously reconstruct sea surface heat fluxes and the initial state of a mathematical model of sea thermodynamics developed at the Institute of Numerical Mathematics of the Russian Academy of Sciences. The sensitivity of some solution functionals to observation data in the variational assimilation problem is investigated, and results of numerical experiments with the model applied to Baltic Sea dynamics are presented.