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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2019, Volume 22, Number 2, Pages 229–242
DOI: https://doi.org/10.15372/SJNM20190208 (Mi sjvm712) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Sensitivity of functionals to observation data in a variational assimilation problem for the sea thermodynamics model

V. P. Shutyaevab, E. I. Parmuzina

a Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119333 Russia
b Marine Hydrophysical Institute, Russian Academy of Sciences, ul. Kapitanskaya 2, Sevastopol, 299011 Russia
Full-text PDF (1764 kB) Citations (6) English version article
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DOI: https://doi.org/10.15372/SJNM20190208
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.
Funding agency Grant number
Russian Science Foundation 17-77-30001
Russian Foundation for Basic Research 18-01-00267_а
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).
Received: 25.04.2018
Revised: 20.06.2018
Accepted: 21.01.2019
English version:
Numerical Analysis and Applications, 2019, Volume 12, Issue 2, Pages 191–201
DOI: https://doi.org/10.1134/S1995423919020083
Bibliographic databases:
Document Type: Article
UDC: 519.6, 551.46
Language: Russian
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
Citation in format AMSBIB
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