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Large eddy simulation of a heaving wing on the cusp of transition to turbulence. (English) Zbl 1411.76040
Summary: Simulations of the flow over a heaving NACA 0012 wing are conducted to study the separated flow phenomena for a pre-stall and post-stall wing condition. An extensively validated high fidelity large-eddy simulation (LES) approach is used to examine the unsteady aerodynamic loads and flow structures at Reynolds number \(\text{Re}_{c} = 2 \times 10^{4}\) based on the chord. We consider reduced frequencies of \(k = 0.47\) and 0.94 for a chord-normalized peak-to-peak amplitude of \(A/c=0.5\) and angles of attack of \(5^\circ\) and \(15^\circ\), representing pre-stall and post-stall conditions, respectively. Comparison to experiment shows good agreement for the phase-averaged lift, drag and moments of the heaving wing. Characteristic phenomena of dynamic stall are analysed with emphasis on the leading edge vortex (LEV) development. A series of instantaneous spanwise vorticity plots show significant spanwise perturbations in the reverse flow region that develops over the suction surface during the start of the downstroke, giving rise to instabilities in the detached shear layer. The instabilities give rise to the first occurrence of turbulence near the wing surface at the leading edge.
76F65 Direct numerical and large eddy simulation of turbulence
76F06 Transition to turbulence
Full Text: DOI
[1] Wang, Z. J., Two dimensional mechanism for insect hovering, J Phys Rev, 85, 2216-2219, (2000)
[2] Lewin, G. C.; Haj-Hariri, H., Modelling thrust generation of a two-dimensional heaving wing in a viscous flow, J Fluid Mech, 492, 339-362, (2003) · Zbl 1063.76019
[3] Sandham, N. D.; Sandberg, R. D.; Jones, L. E., Direct numerical simulation of forced and unforced separation bubbles on a wing at incidence, J Fluid Mech, 602, 175-207, (2008) · Zbl 1144.76050
[4] Akbari, M. H.; Price, S. J., Simulation of dynamic stall for a NACA0012 airfoil using vortex method, J Fluids Struct, 17, 855-874, (2003)
[5] Medjroubi, W.; Stoevesandt, B.; Carmo, B.; Peinke, J., High-order numerical simulations of the flow around a heaving wing, Compt Fluids, 51, 68-84, (2011) · Zbl 1271.76231
[6] Peinke, J.; Stoevesandt, B.; Medjroubi, W., Wake classification of heaving airfoils using spectral/hp element method, J Compt Appl Maths, 236, 3774-3782, (2012) · Zbl 1396.76066
[7] Winslow, J.; Otsuka, H.; Govindarajan, B.; Chopra, I., Basic understanding of airfoil characteristics at low Reynolds numbers \(o(10^4 - 10^5\)), AIAA J Aircraft, 55, 1050-1061, (2018)
[8] McAlister, W.; Carr, L. W.; McCroskey, W. J., Analysis of the development of dynamic stall based on oscillating airfoil experiment, Tech Rep NASA Tech Mem, 8382, (1977)
[9] McCroskey, W. J., The phenomenon of dynamic stall, Tech Rep TR 81-A-6 NASA, (1981)
[10] Choi, J.; Colonius, T.; Williams, D., Dynamics and energy extraction of a surging and plunging airfoil at low Reynolds number, AIAA J, (2013)
[11] Carr, L. W., Progress in analysis and prediction of dynamic stall, AIAA J Aircraft, 25, 6-17, (1988)
[12] Leishman, J., Dynamic stall experiments on the NACA 23012 aerofoil, J Expt Fluids, 9, 49-58, (1990)
[13] Lee, T.; Gerontakos, P., Investigation of flow over an oscillating airfoil, J Fluid Mech, 512, 313-341, (2004) · Zbl 1163.76307
[14] Rudmin, D.; Benaissa, A.; Poirel, D., Detection of laminar flow separation and transition on a NACA 0012 airfoil using surface hot-films, J Fluids Eng, 135, (2013)
[15] Kim, D. H.; Chang, J. W., Low-Reynolds-number effect on the aerodynamic characteristics of a pitching NACA0012 airfoil, J Aero Sci Tech, 32, 162-168, (2014)
[16] Cleaver, D. J.; Gursul, I.; Wang, Z.; Calderon, D. E., Lift enhancement through flexibility of plunging wings at low Reynolds numbers, J Fluids Struct, 64, 27-45, (2016)
[17] Chiereghin, N.; Gursul, I.; Cleaver, D. J., Unsteady force and flow measurements for plunging finite wing, AIAA Paper, 6, 2017-3127, (2017)
[18] Ekaterinaris, J. A.; Menter, F. R., Computation of oscillating airfoil flows with one and two equation turbulence models, AIAA J, 32, 2359-2365, (1994)
[19] Barakos, G. N.; Drikakis, D., Unsteady separated flows over maneuvering lifting surfaces, Philos Trans R Soc Lond, 358, 3279-3291, (2000) · Zbl 1099.76525
[20] Wang, S.; Ingham, D. B.; Ma, L.; Pourkashanian, M.; Tao, Z., Numerical investigations on dynamic stall of low Reynolds number flow around oscillating airfoils, Compt Fluids, 39, 1529-1541, (2010) · Zbl 1245.76041
[21] Wang, L.; Li, L.; Fu, S., A comparative study of DES type methods for mild flow separation prediction on a NACA0015 airfoil, Int J Num Mthds Heat Fluid Flows, 27, 2528-2543, (2017)
[22] Visbal, M. R., High fidelity simulation of transitional flow past a plunging airfoil, AIAA J, 47, 2685-2697, (2009)
[23] Andro, J. Y.; Jacquin, L., Frequency effects on the aerodynamic mechanisms of a heaving airfoil in a forward flight configuration, J Aero Sci Tech, 13, 71-80, (2009)
[24] Molina, J.; Zhang, X.; Angland, D., On the unsteady motion and stability of a heaving airfoil in ground effect, Acta Mech Sin, 27, 164-178, (2011) · Zbl 1270.76033
[25] Kang, C.; Aono, H.; Baik, Y. S.; Bernal, L. P.; Shyy, W., Fluid dynamics of pitching and plunging flat plates at intermediate Reynolds numbers, AIAA J, 51, 315-329, (2013)
[26] Franck, J. A.; Breuer, K. S., Unsteady high-lift mechanisms from heaving flat plate simulations, Int J Heat and Fluid Flow, 67, 230-239, (2017)
[27] Kim, Y.; Xie, Z. T., Modelling the effects of freestream turbulence on the dynamic stall of wind turbine blades, Compt Fluids, 129, 53-66, (2016) · Zbl 1390.76178
[28] Ouro, P.; Stoesser, T.; Ramirez, L., Effect of blade cambering on the dynamic stall in view of designing vertical axis turbines, J Fluids Eng, 140, (2018)
[29] Guillaud, N.; Balarac, G.; Goncalvès, E., Large eddy simulations on a pitching airfoil: analysis of the reduced frequency influence, Compt Fluids, 161, 1-13, (2018) · Zbl 1390.76158
[30] Inagaki, M.; Kondoh, T.; Nagano, Y., A mixed-time-scale SGS model with fixed model-parameters for practical LES, J Fluids Eng, 127, 1-13, (2005)
[31] Nicoud, F.; Ducros, F., Subgrid-scale stress modelling based on the square of the velocity gradient tensor, J Flow Turbul Combust, 62, 183-200, (1999) · Zbl 0980.76036
[32] Almutairi, J. H., Large-eddy simulation of flow around an airfoil at low Reynolds number near stall, (2010), University of Southampton, PhD thesis
[33] Jasak, H., Error analysis and estimation for the finite volume method with application to fluid flows, (1996), Imperial College of Science, Technology and Medicine, PhD thesis
[34] Jasak, H.; Tukovic̃, . Z., Automatic mesh motion for the unstructured finite volume method, Trans FAMENA, 30, 1-18, (2004)
[35] Chiereghin, N.; Gursul, I.; Cleaver, D. J., Unsteady measurements for a periodically plunging airfoil, AIAA Paper, 7, (2017)
[36] Visbal, M. R., Numerical investigation of deep dynamic stall of a plunging airfoil, AIAA J, 49, 2157-2170, (2011)
[37] Chiereghin, N.; Gursul, I.; Cleaver, D. J., Modelling the unsteady loads of plunging airfoils in attached, light and deep stall conditions, Presentation delivered at the Airbus flight physics distributed research and technology partnership (DiPaRT), (2017), Bristol
[38] Visbal, M. R.; Garmann, D. J., Numerical investigation of spanwise end effects on dynamic stall of a pitching NACA 0012 wing, AIAA Paper, (2017)
[39] Spalart, P. R.; Strelets, M. K., Mechanisms of transition and heat transfer in separation bubble, J Fluids Mech, 403, 329-349, (2000) · Zbl 0972.76046
[40] Leweke, T.; Williamson, C. H.K., Cooperative elliptic instability of a vortex pair, J Fluids Mech, 360, 85-119, (1998) · Zbl 0923.76012
[41] Leweke, T.; Williamson, C. H.K., Three- dimensional instability in wake transition, Eur J Mech B/Fluids, 17, 571-586, (1998) · Zbl 0948.76505
[42] Barkley, D.; Henderson, R. D., Three-dimensional floquet stability analysis of the wake of a circular cylinder, J Fluids Mech, 322, 215-241, (1996) · Zbl 0882.76028
[43] Waleffe, F., On the three-dimensional instability of strained vortices, J Phys Fluids, A2, 76, (1990) · Zbl 0696.76052
[44] Amiralaei, M. R.; Alighanbari, H.; Hashemi, S. M., Numerical modelling of a low Reynolds number plunging airfoil flow field characteristics, Proc Inst Mech Eng, Part G, 227, 1251-1264, (2012)
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