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Volume 22, Issue 1
Study on Mass Transports in Evolution of Separation Bubbles Using LCSs and Lobe Dynamics

Shengli Cao, Wei Wang, Jiazhong Zhang & Yan Liu

Commun. Comput. Phys., 22 (2017), pp. 285-302.

Published online: 2019-10

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  • Abstract

The lobe dynamics and mass transport between separation bubble and main flow in flow over airfoil are studied in detail, using Lagrangian coherent structures (LCSs), in order to understand the nature of evolution of the separation bubble. For this problem, the transient flow over NACA0012 airfoil with low Reynolds number is simulated numerically by characteristic based split (CBS) scheme, in combination with dual time stepping. Then, LCSs and lobe dynamics are introduced and developed to investigate the mass transport between separation bubble and main flow, from viewpoint of nonlinear dynamics. The results show that stable manifolds and unstable manifolds could be tangled with each other as time evolution, and the lobes are formed periodically to induce mass transport between main flow and separation bubble, with dynamic behaviors. Moreover, the evolution of the separation bubble depends essentially on the mass transport which is induced by lobes, ensuing energy and momentum transfers. As the results, it can be drawn that the dynamics of flow separation could be studied using LCSs and lobe dynamics, and could be controlled feasibly if an appropriate control is applied to the upstream boundary layer with high momentum.

  • AMS Subject Headings

35Q35, 35Q30, 76G25, 93D05, 86-08

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

csl1993@stu.xjtu.edu.cn (Shengli Cao)

weiwwang@foxmail.com (Wei Wang)

jzzhang@mail.xjtu.edu.cn (Jiazhong Zhang)

liuyan@nwpu.edu.cn (Yan Liu)

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@Article{CiCP-22-285, author = {Cao , ShengliWang , WeiZhang , Jiazhong and Liu , Yan}, title = {Study on Mass Transports in Evolution of Separation Bubbles Using LCSs and Lobe Dynamics}, journal = {Communications in Computational Physics}, year = {2019}, volume = {22}, number = {1}, pages = {285--302}, abstract = {

The lobe dynamics and mass transport between separation bubble and main flow in flow over airfoil are studied in detail, using Lagrangian coherent structures (LCSs), in order to understand the nature of evolution of the separation bubble. For this problem, the transient flow over NACA0012 airfoil with low Reynolds number is simulated numerically by characteristic based split (CBS) scheme, in combination with dual time stepping. Then, LCSs and lobe dynamics are introduced and developed to investigate the mass transport between separation bubble and main flow, from viewpoint of nonlinear dynamics. The results show that stable manifolds and unstable manifolds could be tangled with each other as time evolution, and the lobes are formed periodically to induce mass transport between main flow and separation bubble, with dynamic behaviors. Moreover, the evolution of the separation bubble depends essentially on the mass transport which is induced by lobes, ensuing energy and momentum transfers. As the results, it can be drawn that the dynamics of flow separation could be studied using LCSs and lobe dynamics, and could be controlled feasibly if an appropriate control is applied to the upstream boundary layer with high momentum.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0127}, url = {http://global-sci.org/intro/article_detail/cicp/13356.html} }
TY - JOUR T1 - Study on Mass Transports in Evolution of Separation Bubbles Using LCSs and Lobe Dynamics AU - Cao , Shengli AU - Wang , Wei AU - Zhang , Jiazhong AU - Liu , Yan JO - Communications in Computational Physics VL - 1 SP - 285 EP - 302 PY - 2019 DA - 2019/10 SN - 22 DO - http://doi.org/10.4208/cicp.OA-2016-0127 UR - https://global-sci.org/intro/article_detail/cicp/13356.html KW - Mass transport, separation bubble, Lagrangian coherent structures, lobe dynamics. AB -

The lobe dynamics and mass transport between separation bubble and main flow in flow over airfoil are studied in detail, using Lagrangian coherent structures (LCSs), in order to understand the nature of evolution of the separation bubble. For this problem, the transient flow over NACA0012 airfoil with low Reynolds number is simulated numerically by characteristic based split (CBS) scheme, in combination with dual time stepping. Then, LCSs and lobe dynamics are introduced and developed to investigate the mass transport between separation bubble and main flow, from viewpoint of nonlinear dynamics. The results show that stable manifolds and unstable manifolds could be tangled with each other as time evolution, and the lobes are formed periodically to induce mass transport between main flow and separation bubble, with dynamic behaviors. Moreover, the evolution of the separation bubble depends essentially on the mass transport which is induced by lobes, ensuing energy and momentum transfers. As the results, it can be drawn that the dynamics of flow separation could be studied using LCSs and lobe dynamics, and could be controlled feasibly if an appropriate control is applied to the upstream boundary layer with high momentum.

Cao , ShengliWang , WeiZhang , Jiazhong and Liu , Yan. (2019). Study on Mass Transports in Evolution of Separation Bubbles Using LCSs and Lobe Dynamics. Communications in Computational Physics. 22 (1). 285-302. doi:10.4208/cicp.OA-2016-0127
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