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首页> 外文期刊>Journal of Geophysical Research, C. Oceans: JGR >Clusters, deformation, and dilation: Diagnostics for material accumulation regions
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Clusters, deformation, and dilation: Diagnostics for material accumulation regions

机译：簇，变形和膨胀：材料堆积区域的诊断

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Clusters of material at the ocean surface have been frequently observed. Such accumulations of material play an important role in a variety of applications, from biology to pollution mitigation. Identifying where clusters will form can aid in locating, for example, hotspots of biological activity or regions of high pollutant concentration. Here cluster strength is introduced as a new metric for defining clusters when all particle positions are known. To diagnose regions likely to contain clusters without the need to integrate millions of particle trajectories, we propose to use dilation, which quantifies area changes of Lagrangian patches. Material deformation is decomposed into dilation and area-preserving stretch processes to refine previous approaches based on finite-time Lyapunov exponents (FTLE) by splitting the FTLE into fundamental kinematic properties. The concepts are developed theoretically and illustrated in the context of a stateof-the-art data-assimilating predictive ocean model of the Gulf of Mexico. Regions of dilation less than one are shown to be much more likely (6 times more likely in the given example) to be visited by particles than those of dilation greater than one. While the relationship is nonlinear, dilation and cluster strength exhibit a fairly good correlation. In contrast, both stretch and Eulerian divergence are found to be uncorrelated with cluster strength. Thus, dilation maps can be used as guides for identifying cluster locations, while saving some of the computational cost of trajectory integrations.
机译：人们经常观察到海洋表面的物质簇。这种物质积累在从生物学到减轻污染的各种应用中都起着重要作用。确定将在何处形成簇有助于确定生物活动的热点或高污染物浓度的区域。此处，将簇强度作为当所有粒子位置已知时定义簇的新度量引入。为了诊断可能包含簇的区域而无需整合数百万个粒子轨迹，我们建议使用膨胀来量化拉格朗日斑块的面积变化。将材料变形分解为扩张和保留区域的拉伸过程，以通过将FTLE分解为基本运动学特性来改进基于有限时间Lyapunov指数（FTLE）的先前方法。这些概念是在理论上发展起来的，并在墨西哥湾最新的数据辅助性预测海洋模型的背景下进行了说明。小于1的扩张区域显示出比更大于1的扩张区域更容易被粒子访问（在给定示例中，可能性为6倍）。虽然该关系是非线性的，但膨胀和簇强度显示出相当好的相关性。相反，拉伸和欧拉散度都与簇强度无关。因此，膨胀图可以用作识别集群位置的指南，同时节省一些轨迹积分的计算成本。

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