Attracting and repelling Lagrangian coherent structures from a single computation

被引:44
作者
Farazmand, Mohammad [1 ,2 ]
Haller, George [2 ]
机构
[1] ETH, Dept Math, CH-8092 Zurich, Switzerland
[2] ETH, Inst Mech Syst, CH-8092 Zurich, Switzerland
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1063/1.4800210
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Hyperbolic Lagrangian Coherent Structures (LCSs) are locally most repelling or most attracting material surfaces in a finite-time dynamical system. To identify both types of hyperbolic LCSs at the same time instance, the standard practice has been to compute repelling LCSs from future data and attracting LCSs from past data. This approach tacitly assumes that coherent structures in the flow are fundamentally recurrent, and hence gives inconsistent results for temporally aperiodic systems. Here, we resolve this inconsistency by showing how both repelling and attracting LCSs are computable at the same time instance from a single forward or a single backward run. These LCSs are obtained as surfaces normal to the weakest and strongest eigenvectors of the Cauchy-Green strain tensor. (C) 2013 AIP Publishing LLC.
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页数:11
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