作为拉格朗日拟序结构原型的星凸结构
Star-Convex structures as prototypes of Lagrangian coherent structures
摘要:
海洋表面流是由有限时间拉格朗日相干结构,分离区域的定性不同的动力学行为。其中,涡流边界是特别感兴趣的。它们的准确识别对于研究海洋迁移过程和调查对海洋生物和气候的影响至关重要。在这里,我们提出了一种纯粹基于凸性的新方法,凸性是一种直观且行之有效的条件,但尚未完全探索。我们讨论的基本理论,推导出一个算法,产生可理解的结果,并说明所提出的方法,通过识别相干结构和长丝模拟和真实的海洋速度场。
英文摘要:
Oceanic surface flows are dominated by finite-time Lagrangian coherent structures that separate regions of qualitatively different dynamical behavior. Among these, eddy boundaries are of particular interest. Their exact identification is crucial for the study of oceanic transport processes and the investigation of impacts on marine life and the climate. Here, we present a novel method purely based on convexity, a condition that is intuitive and well-established, yet not fully explored. We discuss the underlying theory, derive an algorithm that yields comprehensible results and illustrate the presented method by identifying coherent structures and filaments in simulations and real oceanic velocity fields.
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