厄尔尼诺和南方涛动海气耦合模型中参数估计的变分方法

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.

Estimating parameters for coupled air-sea model with variational method

In this paper a method is presented to estimate the unknown parameters of nonlinear El Niño/La Niño-Southern Oscillation model based on the variational principle. Firstly, the equation of the coupled air-sea model is included into the objective functional. Secondly, the formulas of the adjoint equation and the functional gradient for unknown parameters are derived using the variational method. Finally, the algorithm to estimate unknown parameters of air-sea oscillator system is designed according to the above formulas. The numerical simulation results show that the proposed method is very effective and feasible to estimate the unknown parameters of nonlinear air-sea coupled dynamical system.