Abstract:
For the mathematical model of the sea thermodynamics, developed in the Institute of Numerical Mathematics of the Russian Academy of Sciences, the problem of variational assimilation of the sea surface temperature data is considered, with allowance for the observation data error covariance matrices. Based on the variational assimilation of satellite observation data, the inverse problem of restoring a heat flux on the sea surface is solved. The sensitivity of functionals with respect to observation data in a problem of variational assimilation is studied, and the results of numerical experiments for the model of the Baltic Sea dynamics are presented.
Key words:
variational data assimilation, optimal control, adjoint equations, covariance matrices, sensitivity of functionals, sea surface temperature.
This work was supported by Russian Science Foundation (project no. 17-77-30001, for Sections 2
and 3) and the Russian Foundation for Basic Research (project no. 18-01-00267, for the numerical
calculations).
Citation:
V. P. Shutyaev, E. I. Parmuzin, “Sensitivity of functionals to observation data in a variational assimilation problem for the sea thermodynamics model”, Sib. Zh. Vychisl. Mat., 22:2 (2019), 229–242; Num. Anal. Appl., 12:2 (2019), 191–201
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\paper Sensitivity of functionals to observation data in a variational assimilation problem for the sea thermodynamics model
\jour Sib. Zh. Vychisl. Mat.
\yr 2019
\vol 22
\issue 2
\pages 229--242
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\crossref{https://doi.org/10.15372/SJNM20190208}
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\jour Num. Anal. Appl.
\yr 2019
\vol 12
\issue 2
\pages 191--201
\crossref{https://doi.org/10.1134/S1995423919020083}
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Linking options:
https://www.mathnet.ru/eng/sjvm712
https://www.mathnet.ru/eng/sjvm/v22/i2/p229
This publication is cited in the following 7 articles:
V. P. Shutyaev, E. I. Parmuzin, “Chuvstvitelnost funktsionalov k vkhodnym dannym v zadache variatsionnogo usvoeniya dlya modeli termodinamiki morya”, Sib. zhurn. vychisl. matem., 27:1 (2024), 97–112
V. P. Shutyaev, E. I. Parmuzin, “Sensitivity of Functionals to Input Data in a Variational Assimilation Problem for a Sea Thermodynamics Model”, Numer. Analys. Appl., 17:1 (2024), 80
Victor P. Shutyaev, Eugene I. Parmuzin, Igor Yu. Gejadze, “The study of the local sensitivity of functionals of the optimal solution to observational data and the heat flux input data in a variational assimilation problem for the sea thermodynamics model”, Russian Journal of Numerical Analysis and Mathematical Modelling, 38:6 (2023), 381
Kochergin Vladimir Sergeevich, Kochergin Sergey Vladimirovich, Springer Geology, Processes in GeoMedia—Volume IV, 2022, 17
Victor P. Shutyaev, Eugene I. Parmuzin, “Sensitivity of functionals of the solution to a variational data assimilation problem with heat flux reconstruction for the sea thermodynamics model”, Russian Journal of Numerical Analysis and Mathematical Modelling, 37:6 (2022), 373
V. P. Shutyaev, E. I. Parmuzin, “Sensitivity of functionals of the solution of a variational
data assimilation problem with simultaneous reconstruction of heat fluxes and the initial state
for the sea thermodynamics model”, Num. Anal. Appl., 13:4 (2020), 382–392
V V Penenko, E A Tsvetova, “Inverse problems for the study of climatic and ecological processes under anthropogenic influences”, IOP Conf. Ser.: Earth Environ. Sci., 386:1 (2019), 012036
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