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The interaction of hyperbolic and shear stretching in geophysical vortex flows

机译:地球物理涡流中双曲与剪切拉伸的相互作用

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We have discovered a checkerboard pattern created by the intersection of attracting and repelling Lagrangian coherent structures (LCS) in several geophysical vortex flows. Such structures are formed by highly three-dimensional processes and include the interaction between hyperbolic stretching in two dimensions with shear in the third dimension. Here, we briefly discuss the appearance of this pattern in two geophysical flows and then further examine the LCS in a hurricane simulation. Additionally, we discuss the impact of the complicated LCS on navigation and control of micro-aerial vehicles (MAVs) in a hurricane and present a control strategy to allow MAVs to efficiently navigate to the hurricane eyewall despite their limited flight capabilities.
机译:我们发现了在几个地球物理涡流中,通过吸引和排斥拉格朗日相干结构(LCS)的相交而创建的棋盘格图案。这样的结构是通过高度三维的过程形成的,并且包括二维的双曲线拉伸与三维的剪切力之间的相互作用。在这里,我们简要讨论了这种模式在两个地球物理流中的出现,然后在飓风模拟中进一步检查了LCS。此外,我们讨论了复杂的LCS对飓风中的微型航空器(MAV)导航和控制的影响,并提出了一种控制策略,以使MAV能够有效导航到飓风眼墙,尽管它们的飞行能力有限。

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