Lagrangian coherent structure: Difference between revisions
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|title=Topological Methods in Data Analysis and Visualization III |
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Lists of software packages for Lagrangian coherent structures computations have been created by Jerrold E. Marsden<ref>{{cite web|last=Marsden|first=Jerrold Eldon|authorlink=Jerrold_E._Marsden|title=LCS Software|url=http://www.cds.caltech.edu/~marsden/lcs/software/}}</ref> and Steven K. Baum.<ref>{{cite web|last=Baum|first=Steven K.|title=Lagrangian Methods in Oceanography|url=http://stommel.tamu.edu/~baum/lagrangian.html}}</ref> |
Lists of software packages for Lagrangian coherent structures computations have been created by Jerrold E. Marsden<ref>{{cite web|last=Marsden|first=Jerrold Eldon|authorlink=Jerrold_E._Marsden|title=LCS Software|url=http://www.cds.caltech.edu/~marsden/lcs/software/}}</ref> and Steven K. Baum.<ref>{{cite web|last=Baum|first=Steven K.|title=Lagrangian Methods in Oceanography|url=http://stommel.tamu.edu/~baum/lagrangian.html}}</ref> |
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Revision as of 01:42, 1 October 2014
 | This article needs attention from an expert in Fluid dynamics. Please add a reason or a talk parameter to this template to explain the issue with the article. (November 2009) |
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
Software packages have been developed to perform Lagrangian coherent structures computations:
- Lekien, Francois; Coulliette, Chad. "MANGEN 1.4.4". Archived from the original on 2009-01-07. (source code)
- Dabiri, John O. "LCS MATLAB Kit". (source code)
- Shadden, Shawn C. "FlowVC". (source code)
- Haller, George. "LCS Tool".
- Jimenez, Raymond; Vankerschaver, Joris. "cuda_ftle". (source code)
- Mills, Peter. "CTRAJ".
- Du Toit, Philip C. "Newman". Archived from the original on 2010-06-13. (source code)
- FlowTK[2] (source code)
Lists of software packages for Lagrangian coherent structures computations have been created by Jerrold E. Marsden[3] and Steven K. Baum.[4]
See also
References
- ^ Shadden, Shawn C. (2005-04-15). "Lagrangian coherent structure tutorial". Retrieved 2009-11-17.
- ^ 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 (PDF). 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.
{{cite book}}: Unknown parameter|subscription=ignored (|url-access=suggested) (help) - ^ Marsden, Jerrold Eldon. "LCS Software".
- ^ Baum, Steven K. "Lagrangian Methods in Oceanography".
External links
- Attention: This template ({{cite doi}}) is deprecated. To cite the publication identified by doi:10.1007/s00162-006-0031-0, please use {{cite journal}} (if it was published in a bona fide academic journal, otherwise {{cite report}} with
|doi=10.1007/s00162-006-0031-0instead. - Haller, George. "Lagrangian Coherent Structures in 2D Turbulence". Archived from the original on 2007-10-09.
- Attention: This template ({{cite doi}}) is deprecated. To cite the publication identified by doi:10.1017/S0022112006003648, please use {{cite journal}} (if it was published in a bona fide academic journal, otherwise {{cite report}} with
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