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Variational Data Assimilation for the Sea Thermodynamics Model and Sensitivity of Marine Characteristics to Observation Errors

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Abstract

The methodology of variational assimilation of observational data for the reconstruction of the initial state and heat fluxes for the mathematical model of sea thermodynamics is presented. An algorithm is developed for estimating the sensitivity of a model solution to errors in observational data. The calculation of the gradient of the response function of the model solution is based on the use of the Hessian of the cost functional. The results of numerical experiments for the Black Sea dynamics model developed at the Institute of Numerical Mathematics, Russian Academy of Sciences, are presented.

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ACKNOWLEDGMENTS

We are grateful to a reviewer for useful remarks that made it possible to improve the presentation of results and exposition of the material in the paper.

Funding

This work was supported by the Russian Science Foundation, project nos. 19-71-20035 (investigations in Sections 1 and 3) and 20-11-20057 (investigations in Section 2).

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Authors and Affiliations

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

    V. P. Shutyaev & E. I. Parmuzin

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  1. V. P. Shutyaev
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  2. E. I. Parmuzin
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Correspondence to V. P. Shutyaev or E. I. Parmuzin.

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Translated by A. Nikol’skii

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Shutyaev, V.P., Parmuzin, E.I. Variational Data Assimilation for the Sea Thermodynamics Model and Sensitivity of Marine Characteristics to Observation Errors. Izv. Atmos. Ocean. Phys. 59, 722–730 (2023). https://doi.org/10.1134/S0001433823060099

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