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Sensitivity of Functionals to Input Data in a Variational Assimilation Problem for a Sea Thermodynamics Model

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Abstract

A problem of variational data assimilation for a sea thermodynamics model is considered, with the aim to reconstruct sea surface heat fluxes taking into account the covariance matrices of input data errors. The sensitivity of some solution functionals to input data in this problem of variational assimilation is studied, and the results of numerical experiments for a model of dynamics of the Baltic Sea are presented.

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Authors and Affiliations

  1. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 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 from Sibirskii Zhurnal Vychislitel’noi Matematiki, 2023, Vol. 27, No. 1, pp. 85-100. https://doi.org/10.15372/SJNM20240108.

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Shutyaev, V.P., Parmuzin, E.I. Sensitivity of Functionals to Input Data in a Variational Assimilation Problem for a Sea Thermodynamics Model. Numer. Analys. Appl. 17, 80–92 (2024). https://doi.org/10.1134/S1995423924010087

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  • DOI: https://doi.org/10.1134/S1995423924010087

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