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Aerodynamic Analysis of a Localized Flexible Airfoil at Low Reynolds Numbers

Published online by Cambridge University Press:  20 August 2015

Wei Kang ,
Jia-Zhong Zhang  and
Pei-Hua Feng
Wei Kang*
Affiliation:
School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China
Jia-Zhong Zhang*
Affiliation:
School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China
Pei-Hua Feng*
Affiliation:
School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China
*
Email:wkangxjtu@stu.xjtu.edu.cn
Corresponding author.Email:jzzhang@mail.xjtu.edu.cn
Email:f-peihua@stu.xjtu.edu.cn
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Abstract

A localized flexible airfoil at low Reynolds numbers is modeled and the aerodynamic performance is analyzed numerically. With characteristic based split scheme, a fluid solver for two dimensional incompressible Navier-Stokes equations is developed under the ALE framework, coupled with the theory of shallow arch, which is approximated by Galerkin method. Further, the interactions between the unsteady flow and the shallow arch are studied in detail. In particular, the effect of the self-excited vibration of the structure on aerodynamic performance of the airfoil is investigated deeply at various angles of attack. The results show that the lift-to-drag ratio has been increased greatly compared with the rigid airfoil. Finally, the relationship between the self-excited vibration and the evolution of the flow is analyzed using FFT tools.

Keywords

74F1076G2576D5576D05Fluid-structure interactionNavier-Stokes equationsaerodynamic performancelift enhancement and drag reductionflow control
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 4 , April 2012 , pp. 1300 - 1310
Copyright
Copyright © Global Science Press Limited 2012

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References

[1]Persson, P., Peraire, J. and Bonet, J., A high order discontinuous galerkin method for fluid-structure interaction, AIAA Computational Fluid Dynamics Conference, Citeseer, 25–28.Google Scholar
[2]Gordnier, R., High fidelity computational simulation of a membrane wing airfoil, J. Fluids Struct., 25 (2009), 897–917.CrossRefGoogle Scholar
[3]Song, A. and Breuer, K., Dynamics of a compliant membrane as related to mammalian flight, AIAA paper, 2007-665.Google Scholar
[4]Rojratsirikul, P., Wang, Z. and Gursul, I., Unsteady fluid-structure interactions of membrane airfoils at low reynolds numbers, Animal Locomotion, 1 (2010), 297.Google Scholar
[5]Kjellgren, P. and Hyvärinen, J., An arbitrary lagrangian-eulerianfinite element method, Comput. Mech., 21 (1998), 81–90.CrossRefGoogle Scholar
[6]Sarrate, J., Huerta, A. and Donea, J., Arbitrary lagrangian-eulerian formulation for fluid-rigid body interaction, Comput. Methods Appl. Mech. Eng., 190 (2001), 3171–3188.Google Scholar
[7]Kim, D. and Choi, H., Immersed boundary method for flow around an arbitrarily moving body, J. Comput. Phys., 212 (2006), 662–680.Google Scholar
[8]Li, R., Tang, T. and Zhang, P., Moving mesh methods in multiple dimensions based on harmonic maps, J. Comput. Phys., 170 (2001), 562–588.Google Scholar
[9]Di, Y., Li, R., Tang, T. and Zhang, P., Moving mesh finite element methods for the incompressible Navier-Stokes equations, SIAM J. Sci. Comput., 26 (2005), 1036–1056.CrossRefGoogle Scholar
[10] B.Celik and Edis, F., Analysis of fluid flow through micro-fluidic devices using characteristic-based-split procedure, Int. J. Numer. Methods Fluids, 51 (2006), 1041–1057.Google Scholar
[11]Rojek, J., Oñate, E. and Taylor, R., CBS-based stabilization in explicit solid dynamics, Int. J. Numer. Methods Eng., 66 (2006), 1547–1568.CrossRefGoogle Scholar
[12]Nithiarasu, P., A fully explicit characteristic based split (CBS) scheme for viscoelastic flow calculations, Int. J. Numer. Methods Eng., 60 (2004), 949–978.CrossRefGoogle Scholar
[13]Nithiarasu, P., Codina, R. and Zienkiewicz, O., The characteristic-based split (CBS) scheme, a unified approach to fluid dynamics, Int. J. Numer. Methods Eng., 66 (2006), 1514–1546.Google Scholar
[14]Zienkiewicz, O. and Codina, R., A general algorithm for compressible and incompressible flowłpart I: the split, characteristic-based scheme, Int. J. Numer. Methods Fluids, 20 (1995), 869–885.Google Scholar
[15]Zhang, J., Liu, Y., Lei, P. and Sun, X., Dynamic snap-through buckling analysis of shallow arches under impact load based on approximate inertial manifolds, Dynam. Cont. Dis. Ser. B, (DCDIS-B), 14 (2007), 287–291.Google Scholar
[16]Blom, F., Considerations on the spring analogy, Int. J. Numer. Methods Fluids, 32 (2000), 647–668.Google Scholar
[17]Dütsch, H., Durst, F., Becker, S. and Lienhart, H., Low-reynolds-number flow around an os-cillating circular cylinder at low keulegan–carpenter numbers, J. Fluid Mech., 360 (1998), 249–271.Google Scholar