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

V. P. Shutyaev, E. I. Parmuzin

Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow

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.

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

UDC: 519.6, 551.46

Received: 05.06.2023
Revised: 12.09.2023
Accepted: 27.10.2023

DOI: 10.15372/SJNM20240108

 English version: Numerical Analysis and Applications, 2024, 17:1, 80–92