单轨迹准客观相干结构诊断
Quasi-Objective Coherent Structure Diagnostics from Single Trajectories
摘要：
我们得到的措施，本地材料的拉伸和旋转，可计算从个人的轨迹，而不依赖于其他轨迹或底层的速度场。这两种度量都是准客观的：它们近似于客观（即，独立的）满足一定条件的帧中的相干性诊断。这个条件要求轨迹加速度支配由空间平均涡量引起的角加速度。我们举例说明如何准目标的相干诊断突出椭圆和双曲拉格朗日相干结构，即使从非常稀疏的轨迹数据。
英文摘要：
We derive measures of local material stretching and rotation that are computable from individual trajectories without reliance on other trajectories or on an underlying velocity field. Both measures are quasi-objective: they approximate objective (i.e., observer-independent) coherence diagnostics in frames satisfying a certain condition. This condition requires the trajectory accelerations to dominate the angular acceleration induced by the spatial mean vorticity. We illustrate in examples how quasi-objective coherence diagnostics highlight elliptic and hyperbolic Lagrangian coherent structures even from very sparse trajectory data.
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