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提出一种基于变分原理估计厄尔尼诺和南方涛动海气耦合模型中未知参数的方法.首先将所研究的非线性海气耦合动力方程引入到目标泛函中;接着利用变分方法导出伴随方程和待辨识参数泛函梯度的公式;然后设计了估计未知参数的算法.数值试验结果表明变分方法是一种能有效估计海气耦合非线性系统未知参数的方法.
A method based on variational principle is proposed to estimate the unknown parameters in the El Niño and Southern Oscillation-Ocean-Atmosphere coupling model.Firstly, the nonlinear coupled aerodynamic equation is introduced into the objective function. Then the variational method is used to derive the adjoint equation And the formula of the functional gradient of the parameter to be identified. Then an algorithm to estimate the unknown parameters is designed. The numerical results show that the variational method is a method that can effectively estimate the unknown parameters of a coupled nonlinear system.