Analysis of Stable and Unstable Manifolds in Fluid Flows Using Lagrangian Coherent Structures

2015 ◽  
Author(s):  
Auwais Ahmed ◽  
Imran Akhtar ◽  
Imran Aziz
Keyword(s):  
Coherent Structures ◽  
Fluid Flows ◽  
Lagrangian Coherent Structures ◽  
Stable And Unstable Manifolds ◽  
Unstable Manifolds

scholarly journals Lagrangian coherent structures separate dynamically distinct regions in fluid flows

2013 ◽  
Vol 88 (1) ◽  
Author(s):  
Douglas H. Kelley ◽  
Michael R. Allshouse ◽  
Nicholas T. Ouellette
Keyword(s):  
Coherent Structures ◽  
Fluid Flows ◽  
Lagrangian Coherent Structures

Lagrangian coherent structures: The hidden skeleton of fluid flows

Physics Today ◽  
2013 ◽  
Vol 66 (2) ◽  
pp. 41-47 ◽  
Author(s):  
Thomas Peacock ◽  
George Haller
Keyword(s):  
Coherent Structures ◽  
Fluid Flows ◽  
Lagrangian Coherent Structures

Persistency of debris accumulation in tidal estuaries using Lagrangian coherent structures

2021 ◽  
pp. 146808
Author(s):  
Anusmriti Ghosh ◽  
Kabir Suara ◽  
Scott W. McCue ◽  
Yingying Yu ◽  
Tarmo Soomere ◽  
...  
Keyword(s):  
Coherent Structures ◽  
Lagrangian Coherent Structures ◽  
Debris Accumulation ◽  
Tidal Estuaries

Study on the Geometrical Properties and Existence of Orbit Homoclinic to a Saddle Point in n-Dimensional Autonomous Vector Field with Polynomials

2018 ◽  
Vol 28 (14) ◽  
pp. 1850169
Author(s):  
Lingli Xie
Keyword(s):  
Vector Field ◽  
Saddle Point ◽  
Equilibrium Point ◽  
Necessary Conditions ◽  
Continuous System ◽  
Homoclinic Bifurcation ◽  
Stable And Unstable Manifolds ◽  
Geometrical Properties ◽  
Unstable Manifolds

According to the theory of stable and unstable manifolds of an equilibrium point, we firstly find out some geometrical properties of orbits on the stable and unstable manifolds of a saddle point under some brief conditions of nonlinear terms composed of polynomials for [Formula: see text]-dimensional time continuous system. These properties show that the orbits on stable and unstable manifolds of the saddle point will stay on the corresponding stable and unstable subspaces in the [Formula: see text]-neighborhood of the saddle point. Furthermore, the necessary conditions of existence for orbit homoclinic to a saddle point are exposed. Some examples including homoclinic bifurcation are given to indicate the application of the results. Finally, the conclusions are presented.

Lagrangian coherent structures deduced from HF radar measurements

2015 ◽  
Author(s):  
Francesco Enrile ◽  
Giovanni Besio ◽  
Marcello G. Magaldi ◽  
Carlo Mantovani ◽  
Simone Cosoli ◽  
...  
Keyword(s):  
Coherent Structures ◽  
Hf Radar ◽  
Lagrangian Coherent Structures ◽  
Radar Measurements
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