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

被引：2

作者：

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

Parmuzin, E., I ^{[1
]}

机构：

[1] Russian Acad Sci, Marchuk Inst Numer Math, Ul Gubkina 8, Moscow 119333, Russia

[2] Russian Acad Sci, Marine Hydrophys Inst, Ul Kapitanskaya 2, Sevastopol 299011, Russia

来源：

NUMERICAL ANALYSIS AND APPLICATIONS | 2019年 / 12卷 / 02期

基金：

俄罗斯科学基金会; 俄罗斯基础研究基金会;

关键词：

variational data assimilation; optimal control; adjoint equations; covariance matrices; sensitivity of functionals; sea surface temperature;

D O I：

10.1134/S1995423919020083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 sea surface temperature data is studied with allowance for observational error covariance matrices. Based on variational assimilation of satellite observation data, an inverse problem of restoring the heat flux on the sea surface is solved. The sensitivity of some functionals to observation data in the variational assimilation problem is investigated, and the results of numerical experiments with the model applied to Baltic Sea dynamics are presented.

引用

页码：191 / 201

页数：11

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