A fluid-structure interaction model of insect flight with flexible wings

Journal of Computational Physics

Volumn 231, Issue 4, 2012, Pages 1822-1847

  Nakata, Toshiyuki ^a   Liu, Hao ^a,b  

^a CHIBA UNIVERSITY   (Japan)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Aerodynamics; Efficiency; Flexible wing; Fluid structure interaction; Hovering; Insect flight

Indexed keywords

AERODYNAMICS; BENCHMARKING; COMPUTATIONAL FLUID DYNAMICS; ELASTIC MODULI; ENERGY EFFICIENCY; FINITE ELEMENT METHOD; FLEXIBLE WINGS; FLIGHT SIMULATORS; NAVIER STOKES EQUATIONS; POISSON DISTRIBUTION; STRUCTURAL DYNAMICS;

COMPUTATIONAL STRUCTURAL DYNAMICS; FLUID-STRUCTURE INTERACTION; HOVERING; INSECT FLAPPING FLIGHTS; INSECT FLIGHT; INTERACTION MODELING; LOOSELY COUPLING; STRUCTURAL DYNAMIC MODEL; THIN SHELL STRUCTURES; YOUNG MODULUS;

FLUID STRUCTURE INTERACTION;

EID: 84855198892     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2011.11.005     Document Type: Article

References (65)

1. Aono H., Liang F., Liu H. Near- and far-field aerodynamics in insect hovering flight: an integrated computational study. J. Exp. Biol. 2008, 211:239-257.
2. Bathe K.-J. Finite Element Procedures 1996, Princeton-Hall, NJ.
3. Bathe K.-J., Ramm E., Wilson E.L. Finite element formulation for large deformation dynamic analysis. Int. J. Numer. Methods Eng. 1975, 9:353-386.
4. Bomphrey R.J., Lawson N.J., Harding N.J., Taylor G.K., Thomas A.L.R. The aerodynamics of Manduca sexta: digital particle image velocimetry analysis of leading-edge vortex. J. Exp. Biol. 2005, 208:1079-1094.
5. Bos F.M., Lentink D., Van oudheusden B.W., Bijl H. Influence of wing kinematics on aerodynamic performance in hovering insect flight. J. Fluid Mech. 2008, 594:341-368.
6. Brebbia C.A., Dominguez J. Boundary Elements: An Introductory Course 1992, WIT Press/Computational Mechanics Publications, Southampton, UK. second ed.
7. Cebral J.R., Löhner R. Conservative load projection and tracking for fluid-structure problems. AIAA J. 1997, 35:687-692.
8. Chan W.M., Steger J.L. Enhancements of a three-dimensional hyperbolic grid generation scheme. Appl. Math. Comput. 1992, 51:151-205.
9. Chen P.C., Jadiac I. Interfacing of fluid structural models via innovative structural boundary element method. AIAA J. 1998, 36:282-287.
10. Chimakurthi S.K., Tang J., Palacios R., Cesnik C.E.S., Shyy W. Computational aeroelasticity framework for analyzing flapping wing micro air vehicles. AIAA J. 2009, 47:1865-1878.
11. Combes S.A., Daniel T.L. Flexural stiffness in insect wings: i. Scaling and the influence of wing venation. J. Exp. Biol. 2003, 206:2979-2987.
12. Combes S.A., Daniel T.L. Flexural stiffness in insect wings: ii. Spatial distribution and dynamic wing bending. J. Exp. Biol. 2003, 206:2989-2997.
13. Combes S.A., Daniel T.L. Into thin air: contributions of aerodynamic and inertial-elastic forces to wing bending in the hawkmoth Manduca sexta. J. Exp. Biol. 2003, 206:2999-3006.
14. Dickinson M.H., Lehmann F.-O., Sane S.P. Wing rotation and the aerodynamic basis of insect flight. Science 1999, 284:1954-1960.
15. Du G., Sun M. Effects of unsteady deformation of flapping wing on its aerodynamic forces. Appl. Math. Mech. - Engl. Ed. 2008, 29:731-743.
16. Ellington C.P. The aerodynamics of hovering insect flight: ii. Morphological parameters. Philos. Trans. R. Soc. B 1984, 305:17-40.
17. Ellington C.P. The aerodynamics of hovering insect flight: vi. Lift and power requirements. Philos. Trans. R. Soc. B 1984, 305:145-181.
18. Ellington C.P., van den Berg C., Willmott A.P., Thomas A.L.R. Leading-edge vortices in insect flight. Nature 1996, 384:626-630.
19. Ennos A.R. The importance of torsion in the design of insect wings. J. Exp. Biol. 1988, 140:137-160.
20. Ertas A., Krafcik J.T., Ekwaro-Osire S. Performance of an anisotropic allman/DKT 3-node thin triangular flat shell element. Compos. Eng. 1992, 2:269-280.
21. Felippa C.A., Park K.C., Farhat C. Partitioned analysis of coupled mechanical systems. Comput. Methods Appl. Mech. Eng. 2001, 190:3247-3270.
22. Hamamoto M., Ohta Y., Hara K., Hisada T. Application of fluid-structure interaction analysis to flapping flight of insects with deformable wings. Adv. Robot. 2007, 21:1-21.
23. Heathcote S., Gursul I. Flexible flapping airfoil propulsion at low Reynolds number. AIAA J. 2007, 45:1066-1079.
24. Heathcote S., Wang Z., Gursul I. Effect of spanwise flexibility on flapping wing propulsion. J. Fluids Struct. 2008, 24:183-199.
25. Hedrick T.L., Daniel T.L. Flight control in the hawkmoth Manduca sexta: the inverse problem of hovering. J. Exp. Biol. 2006, 209:3114-3130.
26. Ishihara D., Horie T., Denda M. A two-dimensional computational study on the fluid-structure interaction cause of wing pitch changes in dipteran flapping flight. J. Exp. Biol. 2009, 212:1-10.
27. Jones R.M. Mechanics of Composite Materials 2005, Taylor & Francis, Philadelphia, PA. second ed.
28. Lehmann F.-O., Dickinson M.H. The changes in power requirements and muscle efficiency during elevated force production in the fruitfly Drosophila melanogaster. J. Exp. Biol. 1997, 200:1133-1143.
29. Liu H. Integrated modeling of insect flight: from morphology, kinematics to aerodynamics. J. Comput. Phys. 2009, 228:439-459.
30. Liu H., Aono H. Size effects on insect hovering aerodynamics: an integrated computational study. Bioinsp. Biomim. 2009, 4:015002.
31. Liu H., Ellington C.P., Kawachi K., van den Berg C., Willmott A.P. A computational fluid dynamic study of hawkmoth hovering. J. Exp. Biol. 1998, 201:461-477.
32. Liu H., Wassersug R., Kawachi K. The three-dimensional hydrodynamics of tadpole locomotion. J. Exp. Biol. 1997, 200:2807-2819.
33. Maman N., Farhat C. Matching fluid and structure meshes for aeroelastic computations: a parallel approach. Comput. Struct. 1995, 54:779-785.
34. A. McClung, R. Maple, D. Kunz, P. Beran, Examining the influence of structural flexibility on flapping wing propulsion, AIAA-2008-1816, 2008.
35. Mohan P., Kapania R.K. Updated Lagrangian formulation of a flat triangular element for thin laminated shells. AIAA J. 1998, 36:273-281.
36. Mountcastle A.M., Daniel T.L. Aerodynamic and functional consequences of wing compliance. Exp. Fluids 2009, 46:873-882.
37. Piperno S., Farhat C. Partitioned procedures for the transient solution of coupled aeroelastic problems: Part ii: Energy transfer analysis and three-dimensional applications. Comput. Methods Appl. Mech. Eng. 2001, 190:3147-3170.
38. Rankin C.C., Brogan F.A. An element independent co-rotational procedure for the treatment of large rotations. ASME J. Pressure Vessel Technol. 1986, 108:165-174.
39. Sane S.P. The aerodynamics of insect flight. J. Exp. Biol. 2003, 206:4191-4208.
40. Sane S.P., Dickinson M.H. The control of flight force by a flapping wing: lift and drag production. J. Exp. Biol. 2001, 204:2607-2626.
41. Sane S.P., Dickinson M.H. The aerodynamic effects of wing rotation and a revised quasi-steady model of flapping flight. J. Exp. Biol. 2002, 205:1087-1096.
42. Shabana A.A. Dynamics of Multibody Systems 2005, Cambridge University Press, Cambridge, UK. third ed.
43. Shyy W., Aono H., Chimakurthi S.K., Trizila P., Kang C.-K., Cesnik C.E.S., Liu H. Recent progress in flapping wing aerodynamics and aeroelasticity. Prog. Aerosp. Sci. 2010, 46:284-327.
44. Shyy W., Lian Y., Tang J., Liu H., Trizila P., Stanford B., Bernal L., Cesnik C., Friedmann P., Ifju P. Computational aerodynamics of low Reynolds number plunging, pitching and flexible wings for MAV applications. Acta Mech. Sin. 2008, 24:351-373.
45. Spedding G.A., Hedenström A. PIV-based investigations of animal flight. Exp. Fluids 2009, 46:749-763.
46. J.L. Steger, Y.M. Rizk, Generation of three-dimensional body-fitted coordinates using hyperbolic partial differential equations, NASA TM-86753, 1985.
47. Timoshenko S., Woinowsky-Krieger S. Theory of Plates and Shells 1959, McGraw-Hill Book Co., Inc., New York.
48. Vanella M., Fitzgerald T., Preidikman S., Balaras E., Balachandran B. Influence of flexibility on the aerodynamic performance of a hovering wing. J. Exp. Biol. 2009, 212:95-105.
49. Walker S.M., Thomas A.L.R., Taylor G.K. Photogrammetric reconstruction of high-resolution surface topographies and deformable wing kinematics of tethered locusts and free-flying hoverflies. J. R. Soc. Interface 2009, 6:351-366.
50. Walker S.M., Thomas A.L.R., Taylor G.K. Deformable wing kinematics in the desert locust: how and why do camber, twist and topography vary through the stroke?. J. R. Soc. Interface 2009, 6:735-747.
51. Walker S.M., Thomas A.L.R., Taylor G.K. Deformable wing kinematics in free-flying hoverflies. J. R. Soc. Interface 2010, 7:131-142.
52. Weis-Fogh T. Energetics of hovering flight in hummingbirds and in drosophila. J. Exp. Biol. 1972, 56:79-104.
53. D.J. Willis, E.R. Israeli, P.O. Persson, M. Drela, J. Peraire, A computational framework for fluid structure interaction in biologically inspired flapping flight, AIAA-2007-3803, 2007.
54. Willmott A.P., Ellington C.P. The mechanics of flight in the hawkmoth Manduca sexta: I. Kinematics of hovering and forward flight. J. Exp. Biol. 1997, 200:2705-2722.
55. Wootton R.J. Support and deformability in insect wings. J. Zool. 1981, 193:447-468.
56. Wootton R.J. Functional morphology of insect wings. Annu. Rev. Entomol. 1992, 37:113-140.
57. Wootton R.J. Leading edge section and asymmetric twisting in the wings of flying butterflies (insecta, Papilionoidea). J. Exp. Biol. 1993, 180:105-117.
58. Wu G., Zeng L. Measuring the kinematics of a free-flying hawk-moth (Macroglossum stellatarum) by a comb-fringe projection method. Acta Mech. Sin. 2009, 26:67-71.
59. Yin B., Luo H. Effect of wing inertia on hovering performance of flexible flapping wings. Phys. Fluids 2010, 2:111902.
60. Young J., Walker S.M., Bomphrey R.J., Taylor G.K., Thomas A.L.R. Details of insect wing design and deformation enhance aerodynamic function and flight efficiency. Science 2009, 325:1549-1552.
61. Zhao L., Deng X. Power distribution in the hovering flight of the hawk moth Manduca sexta. Bioinsp. Biomim. 2009, 4:046003.
62. Zhao L., Huang Q., Deng X., Sane S.P. Aerodynamic effects of flexibility in flapping wings. J. R. Soc. Interface 2010, 7:485-497.
63. L. Zheng, X. Wang, A. Khan, R.R. Vallance, R. Mittal, T.L. Hedrick, A combined experimental-numerical study of the role of wing flexibility in insect flight, AIAA-2009-382.
64. Zhu Q. Numerical simulation of a flapping foil with chordwise or spanwise flexibility. AIAA J. 2007, 45:2448-2457.
65. Zienkiewicz O.C., Taylor R.L. The Finite Element Method 2000, Butterworth-Heinemann, Oxford, UK. fifth ed.