Variational Data Assimilation in Problems of Modeling Hydrophysical Fieldsin Open Water Areas
Formulation of boundary conditions at liquid (open) boundaries is one of the actual problems of mathematical modeling of open water area hydrothermodynamics. Variational data assimilation is one of the methods that allows to take into account liquid boundaries in models. In this paper we suppose that the observational data are given and we investigate an approach that consists in considering the problem as an inverse, in which the functions of open boundary flows are additional unknowns. In this paper, we formulate a general problem of variational assimilation of observational data for a model of hydrothermodynamics of an open water area based on the splitting method. Algorithms for variational assimilation of temperature and sea level data at the liquid boundary are formulated, and the results of the numerical experiments on the use of the algorithms in the Baltic Sea circulation model are presented.