Conditional Nonlinear Optimal Perturbations of a Two-Dimensional Quasigeostrophic Model

Conditional Nonlinear Optimal Perturbations of a Two-Dimensional Quasigeostrophic Model
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DOI:
10.1175/jas3703.1
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发表时间:
2006-06
影响因子:
3.1
通讯作者:
M. Mu;Zhiyue Zhang
M. Mu;Zhiyue Zhang
中科院分区:
地球科学3区
文献类型:
--
作者:
M. Mu;Zhiyue Zhang

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摘要数值研究了一个二维准地转模式的条件非线性最优扰动。hocP是初始扰动,其非线性演化达到最大值的成本函数,这是根据感兴趣的物理问题与物理约束条件的构造。比较了hocP与线性奇异向量的区别。结果表明,hocPs捕捉到了模型对初始扰动演化的非线性影响。这些结果表明,hocPs是适用于可预测性和敏感性分析的研究时,非线性是重要的。
Abstract Conditional nonlinear optimal perturbations (CNOPs) of a two-dimensional quasigeostrophic model are obtained numerically. The CNOP is the initial perturbation whose nonlinear evolution attains the maximum value of the cost function, which is constructed according to the physical problems of interests with physical constraint conditions. The difference between the CNOP and a linear singular vector is compared. The results demonstrate that CNOPs catch the nonlinear effects of the model on the evolutions of the initial perturbations. These results suggest that CNOPs are applicable to the study of predictability and sensitivity analysis when nonlinearity is of importance.