Attracting and repelling Lagrangian coherent structures from a single computation

Chaos

Volumn 23, Issue 2, 2013, Pages

  Farazmand, Mohammad ^a   Haller, George ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84880391077     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4800210     Document Type: Article

References (15)

1. Arnold V. Khesin B. Topological Methods in Hydrodynamics 1998, 125. and (Springer, ), Vol.
2. Balzer J. A Gauss-Newton method for the integration of spatial normal fields in shape space. J. Math. Imaging Vision 2012, 44:65-79. 10.1007/s10851-011-0311-1, ",".
3. Delmarcelle T. Hesselink L. The topology of symmetric, second-order tensor fields. Proceedings of the conference on Visualization '94 1994, 140-147. and "," in (IEEE Computer Society Press, Los Alamitos, CA, USA, ), pp.
4. Farazmand M. Haller G. Computing Lagrangian coherent structures from their variational theory. Chaos 2012, 22:013128. 10.1063/1.3690153, and ",".
5. Hadjighasem A. Farazmand M. Haller G. Detecting invariant manifolds, attractors and generalized KAM tori in aperiodically forced mechanical systems. Nonlinear Dyn. 10.1007/s11071-013-0823-x, and "," in press, doi.
6. Haller G. A variational theory of hyperbolic Lagrangian coherent structures. Physica D 2011, 240:574-598. 10.1016/j.physd.2010.11.010, ",".
7. Haller G. Beron-Vera F.J. Geodesic theory of transport barriers in two-dimensional flows. Physica D 2012, 241:1680-1702. 10.1016/j.physd.2012.06.012, and ",".
8. Haller G. Sapsis T. Lagrangian coherent structures and the smallest finite-time Lyapunov exponent. Chaos 2011, 21:023115. 10.1063/1.3579597, and ",".
9. Haller G. Yuan G. Lagrangian coherent structures and mixing in two-dimensional turbulence. Physica D 2000, 147:352-370. 10.1016/S0167-2789(00)00142-1, and ",".
10. Lee J.M. Manifolds and Differential Geometry 2009, Graduate Studies in Mathematics (American Mathematical Society, ).
11. Lekien F. Ross S.D. The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds. Chaos 2010, 20:017505. 10.1063/1.3278516, and ",".
12. Lipinski D. Mohseni K. A ridge tracking algorithm and error estimate for efficient computation of Lagrangian coherent structures. Chaos 2010, 20:017504. 10.1063/1.3270049, and ",".
13. Palmerius K.L. Cooper M. Ynnerman A. Flow field visualization using vector field perpendicular surface. Proceedings of the 2009 Spring Conference on Computer Graphics 2009, and "," in Budmerice, Slovakia.
14. Peacock T. Dabiri J. Focus issue: Lagrangian coherent structures. Chaos 2010, 20:17501. 10.1063/1.3278173, and ",".
15. Tricoche X. Scheuermann G. Hagen H. A topology simplification method for 2D vector fields. Proceedings of Visualization 2000 2000, 359-366. and "," in pp.