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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 is used for laminar boundary layer with wall-mounted hemisphere, the other is used 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.

  • AMS Subject Headings

76F40, 76D17, 76M23

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-11-640, author = {Jiang , Xianyang}, 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 is used for laminar boundary layer with wall-mounted hemisphere, the other is used 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} }
TY - JOUR T1 - Lagrangian Identification of Coherent Structures in Wall-Bounded Flows AU - Jiang , Xianyang JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 640 EP - 652 PY - 2019 DA - 2019/01 SN - 11 DO - http://doi.org/10.4208/aamm.2018.s08 UR - https://global-sci.org/intro/article_detail/aamm/12987.html KW - Lagrangian coherent structure, tomographic PIV, turbulent boundary layer, hairpin vortices. AB -

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 is used for laminar boundary layer with wall-mounted hemisphere, the other is used 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.

Xianyang Jiang. (2020). Lagrangian Identification of Coherent Structures in Wall-Bounded Flows. Advances in Applied Mathematics and Mechanics. 11 (3). 640-652. doi:10.4208/aamm.2018.s08
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