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用伴随法优化非线性潮汐模型的开边界条件Ⅰ.伴随方程的建立及“孪生”数值试验

, PP. 27-33

Keywords: 伴随方程,潮汐数值模型,非线性,开边界

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Abstract:

本研究采用基于最优控制理论的伴随法,把观测资料同化到陆架海域潮汐数值模型中去,优化开边界条件,提高数值预报的精度。潮汐模型的控制方程为考虑平流项、非线性底摩擦和侧向涡动粘性项的非线性浅水方程组;采用Lagrange乘子法建立了伴随模型。研究分两部分:第一部分即本文,建立非线性浅水方程模型的伴随方程、给出目标函数的梯度,并实现“孪生”数值试验;第二部分另文给出。

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