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Variational data assimilation for a sea dynamics model

  • Valery Agoshkov , Vladimir Zalesny , Victor Shutyaev EMAIL logo , Eugene Parmuzin and Natalia Zakharova
Published/Copyright: June 15, 2022

Abstract

The 4D variational data assimilation technique is presented for modelling the sea dynamics problems, developed at the Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences (INM RAS). The approach is based on the splitting method for the mathematical model of sea dynamics and the minimization of cost functionals related to the observation data by solving an optimality system that involves the adjoint equations and observation and background error covariances. Efficient algorithms for solving the variational data assimilation problems are presented based on iterative processes with a special choice of iterative parameters. The technique is illustrated for the Black Sea dynamics model with variational data assimilation to restore the sea surface heat fluxes.

MSC 2010: 65K10

Funding statement: The work was supported by the Russian Science Foundation (project 19–71–20035, studies in Section 3), and by the Moscow Center for Fundamental and Applied Mathematics (agreement with the Ministry of Education and Science of the Russian Federation, No. 075–15–2019–1624).

Acknowledgment

The authors are grateful to V. V. Fomin for providing data on heat fluxes required in numerical experiments.

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Received: 2022-02-11
Accepted: 2022-03-14
Published Online: 2022-06-15
Published in Print: 2022-06-27

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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