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

V. P. Shutyaev; E. I. Parmuzin

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

机译：函数对海洋热力学模型变分同化问题中观测数据的敏感性

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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.

机译：考虑了在俄罗斯科学院数学研究所开发的海热力学的数学模型。研究了海面温度数据的变分同化的问题，具有观察误差协方差矩阵的津贴。基于卫星观察数据的变分同化，解决了恢复海面上的热通量的逆问题。研究了一些功能对变分同化问题中的观察数据的敏感性，并提出了应用于波罗的海动力学的模型的数值实验结果。

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《Numerical analysis and applications》 |2019年第2期|共11页
作者
V. P. Shutyaev; E. I. Parmuzin;
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作者单位

Marchuk Institute of Numerical Mathematics Russian Academy of Sciences;

Marchuk Institute of Numerical Mathematics Russian Academy of Sciences;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
variational data assimilation; optimal control; adjoint equations; covariance matrices; sensitivity of functionals; sea surface temperature;

机译：变分数据同化;最优控制;伴随方程;协方差矩阵;功能的敏感性;海表面温度;

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专利

1. Sensitivity of Functionals to Observation Data in a Variational Assimilation Problem for a Sea Thermodynamics Model [J] . V. P. Shutyaev, E. I. Parmuzin Numerical analysis and applications . 2019,第2期

机译：函数对海洋热力学模型变分同化问题中观测数据的敏感性
2. Studying the sensitivity of the optimal solution of the variational data assimilation problem for the Baltic Sea thermodynamics model [J] . Shutyaev V. P., Parmuzin E. I. Russian meteorology and hydrology . 2015,第6期

机译：研究波罗的海热力学模型的变分数据同化问题最优解的敏感性
3. Stability of the Optimal Solution to a Problem of Variational Assimilation with Error Covariance Matrices of Observational Data for a Sea Thermodynamics Model [J] . V. P. Shutyaev, E. I. Parmuzin Numerical analysis and applications . 2018,第2期

机译：对海洋热力学模型的观测数据误差协方差矩阵变分同化问题的稳定性
4. Identification of chemical species emission and sensitivity analysis with variational assimilation of restricted artificial observations [C] . International conference on the modelling, monitoring and management of environmental problems . 2002

机译：不同人工观察分析同化的化学物种排放和敏感性分析的鉴定
5. Variational Data Assimilation of Satellite Remote Sensing Observations for Improving Methane Simulations in Chemical Transport Models [D] . Stanevich, Ilya. 2018

机译：卫星遥感观测的变分数据同化，用于改进化学运输模型中的甲烷模拟
6. Dual number-based variational data assimilation: Constructing exact tangent linear and adjoint code from nonlinear model evaluations [O] . Jann Paul Mattern, Christopher A. Edwards, Christopher N. Hill 2012

机译：基于对偶数的变分数据同化：根据非线性模型求值构造精确的正切线性代码和伴随代码
7. Variational Data Assimilation of Satellite Observations in the Model of Sea Hydrothermodynamics [O] . E.I. Parmuzin, V.I. Agoshkov, N.B. Zakharova, 2019

机译：海水液模型卫星观测的变分数据同化

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

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