Lagrangian coherent structures

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Lagrangian coherent structures are structures which separate dynamically distinct regions in time-varying systems such as turbulent flows in fluid mechanics. They can be defined in terms of finite-time Lyapunov exponents based on a frame-independent description of the system in terms of Lagrangian mechanics.[1] Finite-time Lyapunov exponents can be used to find separatrices in time-dependent systems, which are often analogous to stable and unstable manifolds of time-independent systems. These separatrices are Lagrangian Coherent Structures. These structures divide dynamically distinct regions in the flow and reveal geometry which is often hidden when viewing the vector field or even trajectories of the system. Therefore these structures often provide a nice tool in analyzing systems with general time-dependence, especially for understanding transport.

Software packages[edit]

Software packages have been developed to perform Lagrangian coherent structures computations:

Lists of software packages for Lagrangian coherent structures computations have been created by Jerrold E. Marsden[10] and Steven K. Baum.[11]

See also[edit]


  1. ^ Shadden, Shawn C. (2005-04-15). "Lagrangian coherent structure tutorial". Retrieved 2009-11-17. 
  2. ^ Lekien, Francois; Coulliette, Chad. "ManGen 1.4.4". Archived from the original on 2009-01-07. 
  3. ^ Dabiri, John O. "LCS MATLAB Kit". 
  4. ^ Shadden, Shawn C. "FlowVC". 
  5. ^ Haller, George. "LCS Tool". 
  6. ^ Jimenez, Raymond; Vankerschaver, Joris. "cuda_ftle". Archived from the original on 2011-05-17. 
  7. ^ Mills, Peter. "CTRAJ". 
  8. ^ Du Toit, Philip C. "Newman". Archived from the original on 2010-06-13. 
  9. ^ Ameli, Siavash; Desai, Yogin; Shadden, Shawn C. (2014). "Development of an Efficient and Flexible Pipeline for Lagrangian Coherent Structure Computation". Topological Methods in Data Analysis and Visualization III. Mathematics and Visualization. Springer. pp. 201–215. doi:10.1007/978-3-319-04099-8_13. ISBN 978-3-319-04099-8. ISSN 1612-3786. (subscription required (help)). 
  10. ^ Marsden, Jerrold Eldon. "LCS Software". 
  11. ^ Baum, Steven K. "Lagrangian Methods in Oceanography". 

External links[edit]