Study of the optimal solution sensitivity of variational data assimilation problem for a model of sea thermodynamics
https://doi.org/10.23947/2587-8999-2017-2-156-163
Abstract
Algorithms are proposed to study the sensitivity of the optimal solution to the errors of the observational data in the problem of variational assimilation of the sea surface temperature data with the aim of restoring heat fluxes for the nonstationary system of thermodynamic equations. Numerical experiments are presented in an application to the model of the thermodynamics of the Baltic Sea.
Keywords
mathematical modeling,
variational data assimilation,
optimal control,
adjoint equations,
sensitivity to errors
Supporting agencies: The research is done with the financial support from RSF Project No. 14-11-00609, studies in sections 2-3, and RFBR Project No. 15-01-01583, within which numerical calculations were performed.
About the Authors
Victor Petrovich Shutyaev
Institute of Numerical Mathematics of the Russian Academy of Sciences
(8 Gubkin St., Moscow, Russian Federation)
Russian Federation
Russian Federation
Shutyaev Victor Petrovich, Doctor of Science in Physics and Maths, Professor, Scientific Secretary and Leading Researcher of the Institute of Numerical Mathematics of the Russian Academy of Sciences (8 Gubkin St., Moscow, Russian Federation)
Evgeny Ivanovich Parmuzin
Institute of Numerical Mathematics of the Russian Academy of Sciences
(8 Gubkin St., Moscow, Russian Federation)
Russian Federation
Russian Federation
Parmuzin Evgeny Ivanovich, Candidate of Science in Physics and Maths, Senior Researcher of the Institute of Numerical Mathematics of the Russian Academy of Sciences (8 Gubkin St., Moscow, Russian Federation)
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Review
For citations:
Shutyaev V.P., Parmuzin E.I. Study of the optimal solution sensitivity of variational data assimilation problem for a model of sea thermodynamics. Computational Mathematics and Information Technologies. 2017;1(2). https://doi.org/10.23947/2587-8999-2017-2-156-163
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