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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 4, Pages 657–666 (Mi zvmmf11541)

This article is cited in 2 papers

Mathematical physics

Sensitivity of functionals of the solution to the variational assimilation problem to the input data on the heat flux for a model of sea thermodynamics

E. I. Parmuzin, V. P. Shutyaev

Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333, Moscow, Russia

Abstract: For the mathematical model of the sea thermodynamics developed at the Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, the problem of variational assimilation of observational data in order to recover heat fluxes on the sea surface is considered. The sensitivity of functionals of the solution to the input data on the heat flux in this problem is studied, and the results of numerical experiments for the model of Black Sea dynamics are presented.

Key words: variational assimilation of observational data, optimal control, adjoint equations, covariance matrices, sensitivity of functionals, model of sea thermodynamics.

UDC: 519.6

Received: 29.04.2022
Revised: 02.11.2022
Accepted: 15.12.2022

DOI: 10.31857/S0044466923040130


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:4, 623–632

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© Steklov Math. Inst. of RAS, 2026