Hamiltonian chaos and transport in quasigeostrophic flows
Hamiltonian chaos and transport in quasigeostrophic flows
复制标题
准地转流中的哈密顿混沌和传输
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
P. Morrison
中科院分区：
文献类型：
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作者：
D. Castillo;P. Morrison
研究准地转流中的混沌平流输送。特别感兴趣的是比较理论与最近的旋转槽实验。关于混沌平流的想法进行了简要回顾。推导了与水槽实验有关的准地转方程，从中提取了流函数模型，并与实验数据进行了比较。线性理论被证明是正确的预测所观察到的蜿蜒Rossby波的发病。一个模型流函数，组成的带状流平衡与线性特征函数，用于研究混沌输运。在将奇里科夫重叠准则应用于模型时，可以看到，与实验一致，带状混沌，即，由不变曲面界定的混沌区域，是可以预期的。它还表明，全球混乱，因此运输的纬向流，是不一致的线性理论，并在一般情况下需要共振的纬向流平衡的峰值速度附近的相速度。对混沌的一致性和位涡守恒进行了推测。
Chaotic advective transport in quasigeostrophic flows is studied. Of particular interest is to compare theory with recent rotating tank experiments. Ideas regarding chaotic advection are briefly reviewed. A derivation of the quasigeostrophic equation relevant to the tank experiments is given, from which a model for the stream function is extracted and compared to experimental data. Linear theory is shown to predict correctly the onset of observed sinuous Rossby waves. A model stream function, composed of a zonal flow equilibrium with linear eigenfunctions, is used to study chaotic transport. Upon applying the Chirikov overlap criterion to the model it is seen, in agreement with experiments, that banded chaos, i.e., regions of chaos bounded by invariant surfaces, is to be expected. It is also shown that global chaos, and hence transport across the zonal flow, is inconsistent with linear theory and in general requires resonances with phase velocities near the peak velocity of the zonal flow equilibrium. Speculations regarding the consistency of chaos and conservation of potential vorticity are made.