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

共 50 条

[1] Studying the sensitivity of the optimal solution of the variational data assimilation problem for the Baltic Sea thermodynamics model
Shutyaev, V. P.
Parmuzin, E. I.
RUSSIAN METEOROLOGY AND HYDROLOGY, 2015, 40 (06) : 411 - 419
[2] Studying the sensitivity of the optimal solution of the variational data assimilation problem for the Baltic Sea thermodynamics model
V. P. Shutyaev
E. I. Parmuzin
Russian Meteorology and Hydrology, 2015, 40 : 411 - 419
[3] The study of the local sensitivity of functionals of the optimal solution to observational data and the heat flux input data in a variational assimilation problem for the sea thermodynamics model
Shutyaev V.P.
Parmuzin E.I.
Gejadze I.Yu.
Russian Journal of Numerical Analysis and Mathematical Modelling, 2023, 38 (06) : 381 - 391
[4] Observational error covariance matrices for radar data assimilation
Keeler, RJ
Ellis, SM
PHYSICS AND CHEMISTRY OF THE EARTH PART B-HYDROLOGY OCEANS AND ATMOSPHERE, 2000, 25 (10-12): : 1277 - 1280
[5] Optimal solution error covariance in highly nonlinear problems of variational data assimilation
Shutyaev, V.
Gejadze, I.
Copeland, G. J. M.
Le Dimet, F. -X.
NONLINEAR PROCESSES IN GEOPHYSICS, 2012, 19 (02) : 177 - 184
[6] Variational assimilation with covariance matrices of observation data errors for the model of the Baltic Sea dynamics
Agoshkov, Valery I.
Parmuzin, Eugene I.
Zakharova, Natalia B.
Shutyaev, Victor P.
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2018, 33 (03) : 149 - 160
[7] 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
Computational Mathematics and Mathematical Physics, 2023, 63 : 623 - 632
[8] 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
Parmuzin, E. I.
Shutyaev, V. P.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2023, 63 (04) : 623 - 632
[9] Sensitivity of functionals of the solution to a variational data assimilation problem with heat flux reconstruction for the sea thermodynamics model
Shutyaev, Victor P.
Parmuzin, Eugene, I
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2022, 37 (06) : 373 - 382
[10] Sensitivity of Functionals to Input Data in a Variational Assimilation Problem for a Sea Thermodynamics Model
Shutyaev, V. P.
Parmuzin, E. I.
NUMERICAL ANALYSIS AND APPLICATIONS, 2024, 17 (01) : 80 - 92

← 1 2 3 4 5 →