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Variational assimilation with covariance matrices of observation data errors for the model of the Baltic Sea dynamics

  • Valery I. Agoshkov EMAIL logo , Eugene I. Parmuzin , Natalia B. Zakharova and Victor P. Shutyaev
Published/Copyright: June 8, 2018

Abstract

The mathematical model of the Baltic Sea dynamics developed at the Institute of Numerical Mathematics of RAS is considered. The problem of variational assimilation of average daily data for the sea surface temperature (SST) is formulated and studied with the use of covariance matrices of observation data errors. Based on variational assimilation of satellite observation data, we propose an algorithm for solving the inverse problem of the heat flux reconstruction on the sea surface. The results of numerical experiments on reconstruction of the heat flux function are presented for the problem of variational assimilation of observation SST data.

MSC 2010: 49K20; 65K10
  1. Funding: The work was supported by the Russian Science Foundation (project 14–11–00609, the studies of Sections 1, 1), the Russian Foundation for Basic Research (project 18–01–00267, the studies of Section 3), and the Grant of the President of the Russian Federation (project MK-3228.2016.5, processing of the observation data).

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Received: 2017-10-5
Accepted: 2018-3-20
Published Online: 2018-6-8
Published in Print: 2018-6-26

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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