For the model of ocean thermodynamics developed at the Institute of Numerical Mathematics of RAS, the problem of variational data assimilation is considered in order to restore heat fluxes on the ocean surface and initial state of the model. Iterative solution algorithms are proposed for the optimality system, justification of these algorithms is given based on properties of the control operator. The results of numerical experiments for the model of the Black Sea dynamics are presented.

中文翻译：

---

海洋热力学模型变分数据同化恢复热通量和初始状态问题的数值解

对于RAS数值数学研究所开发的海洋热力学模型，考虑了变分数据同化的问题，以恢复海洋表面的热通量和模型的初始状态。提出了最优系统的迭代求解算法，并根据控制算子的性质给出了这些算法的合理性。给出了黑海动力学模型的数值实验结果。