Volume 11, Issue 3
Lagrangian Identification of Coherent Structures in Wall-Bounded Flows

Xianyang Jiang

Adv. Appl. Math. Mech., 11 (2019), pp. 640-652.

Published online: 2019-01

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  • Abstract

In this paper, Lagrangian tracking of a specific material surface and Lagrangian-averaged vorticity deviation (LAVD) are applied to experimental data sets of  two kinds of wall-bounded flows to detect coherent structures. One for laminar boundary layer with wall-mounted hemisphere, the other for turbulent boundary layer. Lagrangian coherent structures detected in a hemisphere protruded laminar boundary layer show some similarity with Eulerian-detected hairpin vortices.  However, the LAVD-based vortices and the evolution of material surface demonstrated in turbulent boundary layer are different from the patterns in the wake of the hairpin shedding hemisphere. The wavelike deformed material surfaces appear to support the importance of three-dimensional wave structures in the near-wall turbulence production process. The Lagrangian methods provide another perspective in understanding coherent structures in wall-bounded flows.

  • Keywords

Lagrangian coherent structure, tomographic PIV, turbulent boundary layer, hairpin vortices.

  • AMS Subject Headings

76F40, 76D17, 76M23

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-11-640, author = {}, title = {Lagrangian Identification of Coherent Structures in Wall-Bounded Flows}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {3}, pages = {640--652}, abstract = {

In this paper, Lagrangian tracking of a specific material surface and Lagrangian-averaged vorticity deviation (LAVD) are applied to experimental data sets of  two kinds of wall-bounded flows to detect coherent structures. One for laminar boundary layer with wall-mounted hemisphere, the other for turbulent boundary layer. Lagrangian coherent structures detected in a hemisphere protruded laminar boundary layer show some similarity with Eulerian-detected hairpin vortices.  However, the LAVD-based vortices and the evolution of material surface demonstrated in turbulent boundary layer are different from the patterns in the wake of the hairpin shedding hemisphere. The wavelike deformed material surfaces appear to support the importance of three-dimensional wave structures in the near-wall turbulence production process. The Lagrangian methods provide another perspective in understanding coherent structures in wall-bounded flows.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2018.s08}, url = {http://global-sci.org/intro/article_detail/aamm/12987.html} }
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