Variational Data Assimilation for the Sea Thermodynamics Model and Sensitivity of Marine Characteristics to Observation Errors

Pub Date : 2023-12-25 DOI:10.1134/s0001433823060099
V. P. Shutyaev, E. I. Parmuzin
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Abstract

The methodology of variational assimilation of observational data for the reconstruction of the initial state and heat fluxes for the mathematical model of sea thermodynamics is presented. An algorithm is developed for estimating the sensitivity of a model solution to errors in observational data. The calculation of the gradient of the response function of the model solution is based on the use of the Hessian of the cost functional. The results of numerical experiments for the Black Sea dynamics model developed at the Institute of Numerical Mathematics, Russian Academy of Sciences, are presented.

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海洋热力学模型的变量数据同化和海洋特征对观测误差的敏感性
摘要 介绍了观测数据变异同化方法,以重建海洋热力学数学模型的初始状态和热通量。提出了一种估算模式解对观测数据误差敏感性的算法。模型解响应函数梯度的计算是基于成本函数赫塞斯的使用。介绍了俄罗斯科学院数值数学研究所开发的黑海动力学模型的数值实验结果。
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