A method to calculate finite-time Lyapunov exponents for inertial particles in incompressible flows

Garaboa-Paz, D.; Pérez-Muñuzuri, V.

doi:https://doi.org/10.5194/npg-22-571-2015

Articles | Volume 22, issue 5

https://doi.org/10.5194/npg-22-571-2015

© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.

https://doi.org/10.5194/npg-22-571-2015

© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 22, issue 5

Brief communication

|

05 Oct 2015

Brief communication |

| 05 Oct 2015

A method to calculate finite-time Lyapunov exponents for inertial particles in incompressible flows

D. Garaboa-Paz and V. Pérez-Muñuzuri

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Final revised paper (published on 05 Oct 2015)
Preprint (discussion started on 14 Jul 2015)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC C329: 'Report', Anonymous Referee #1, 19 Aug 2015
- AC C425: 'Answer to referee 1', Vicente Perez-Munuzuri, 16 Sep 2015
RC C335: 'Referal for manuscript npg-2015-45', Anonymous Referee #2, 20 Aug 2015
- AC C426: 'Answer to referee 2', Vicente Perez-Munuzuri, 16 Sep 2015

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Vicente Perez-Munuzuri on behalf of the Authors (16 Sep 2015) Author's response

ED: Publish as is (22 Sep 2015) by Ana M. Mancho

AR by Vicente Perez-Munuzuri on behalf of the Authors (22 Sep 2015)

Short summary

The present study aims to improve the calculus of finite-time Lyapunov exponents (FTLEs) applied to describe the transport of inertial particles in a fluid flow. To this aim, the deformation tensor is modified to take into account that the stretching rate between particles separated by a certain distance is influenced by the initial velocity of the particles. Results are presented for two different flows and compared with the classical method by Shadden (2005).