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.

中文翻译：

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海洋热力学模型变分数据同化及海洋特征对观测误差的敏感性

摘要

提出了利用观测数据的变分同化重建海洋热力学数学模型的初始状态和热通量的方法。开发了一种算法来估计模型解对观测数据误差的敏感性。模型解的响应函数梯度的计算基于成本函数的Hessian矩阵的使用。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。