Variational assimilation of temperature for the model of hydrodynamics of the Baltic Sea: the solution of the open boundary problem
https://doi.org/10.23947/2587-8999-2018-2-1-1-8
Abstract
The problem of modeling water areas with «liquid» (open) lateral boundaries is discussed. The mathematical model of the Baltic Sea circulation, developed in INM RAS, is considered. It is based on the system of thermohydrodynamic equations in the Boussinesq and hydrostatic approximations. The splitting method is used for time approximation in the model. Temperature (salinity) assimilation problem is investigated and solved for reconstructing unknown functions in boundary conditions at open boundaries. The domain decomposition method was used for acceleration of the assimilation procedure.
About the Authors
Valery Ivanovich Agoshkov
Institute of Numerical Mathematics of the Russian Academy of Sciences (Gubkin St. 8, Moscow, Russian Federation)
Lomonosov Moscow State University (Leninskie Gory 1, Moscow, Russian Federation)
Russian Federation
Russian Federation
Agoshkov Valery Ivanovich, Principal Researcher of the Institute of Numerical Mathematics of the Russian Academy of Sciences (Gubkin St. 8, Moscow, Russian Federation), Professor of the Lomonosov Moscow State University (Leninskie Gory 1, Moscow, Russian Federation), Professor, Doctor of Sciences in Physics and Mathematics, Honored Scientist of the Russian Federation.
Tatiana Olegovna Sheloput
Institute of Numerical Mathematics of the Russian Academy of Sciences (Gubkin St. 8, Moscow, Russian Federation)
Russian Federation
Russian Federation
Sheloput Tatiana Olegovna, graduate student of the Institute of Numerical Mathematics of the Russian Academy of Sciences (Gubkin St. 8, Moscow, Russian Federation)
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Review
For citations:
Agoshkov V.I., Sheloput T.O. Variational assimilation of temperature for the model of hydrodynamics of the Baltic Sea: the solution of the open boundary problem. Computational Mathematics and Information Technologies. 2018;2(1). (In Russ.) https://doi.org/10.23947/2587-8999-2018-2-1-1-8
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