Stability of the Optimal Solution to a Problem of Variational Assimilation with Error Covariance Matrices of Observational Data for a Sea Thermodynamics Model

被引：1

作者：

Shutyaev V.P. ^{[1
,2
]}

Parmuzin E.I. ^{[1
]}

机构：

[1] Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow

[2] Marine Hydrophysical Institute, Russian Academy of Sciences, ul. Kapitanskaya 2, Sevastopol

来源：

Numerical Analysis and Applications | 2018年 / 11卷 / 2期

基金：

俄罗斯科学基金会; 俄罗斯基础研究基金会;

关键词：

adjoint equations; covariance matrices; optimal control; sea surface temperature; stability with respect to errors; variational data assimilation;

D O I：

10.1134/S1995423918020088

中图分类号：

学科分类号：

摘要：

A mathematical model of sea thermodynamics developed at the Institute of Numerical Mathematics of the Russian Academy of Sciences is considered. A problem of variational assimilation of daily-averaged sea surface temperature (SST) data with observational error covariance matrices is formulated and investigated. On the basis of variational assimilation of satellite observation data, an inverse problem of restoring the heat flux on the sea surface is solved. The stability of the optimal solution to the problem of variational data assimilation is studied, and the results of numerical experiments with the model for Baltic Sea dynamics are presented. © 2018, Pleiades Publishing, Ltd.

引用

页码：178 / 192

页数：14

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