CHENG Mu-lin, MIAO Wen-bo, ZHONG Chang-sheng. Numerical Simulation of Insect Flight[J]. Applied Mathematics and Mechanics, 2006, 27(5): 533-538.
 Citation: CHENG Mu-lin, MIAO Wen-bo, ZHONG Chang-sheng. Numerical Simulation of Insect Flight[J]. Applied Mathematics and Mechanics, 2006, 27(5): 533-538.

# Numerical Simulation of Insect Flight

• Rev Recd Date: 2006-02-10
• Publish Date: 2006-05-15
• In the non-inertial coordinates attached to the model wing, the two-dimensional unsteady flow field triggered by the motion of the model wing, similar to the flapping of the insect wings, was numerically simulated. One of the advantages of our method is that it has avoided the difficulty related to the moving-boundary problem. Another advantage is that the model has three degrees of freedom and can be used to simulate arbitrary motions of a two-dimensional wing in plane only if the motion is known. Such flexibility allows us to study how insects control their flying. The results show that there are two parameters that are possibly utilized by insects to control their flight: the phase difference be tween the wing translation and rotation, and the lateral amplitude of flapping along the direction per pendicular to the average flapping plane.
•  [1] Wooton R J.Functional morphology of insect wings[J].Annual Review of Entomology,1992,37:113—140. [2] Dixon A F G,Kindlmann P.Cost of flight apparatus and optimum body size of aphid migrants[J].Ecology,1998,80(5):1670—1690. [3] Marden J H.Maximum lift production during takeoff in flying animals[J].Journal of Experimental Biology,1987,130:235—258. [4] Sun Mao.Unsteady lift mechanisms in insect flight[J].Advances in Mechanics,2002,32(3):425—434. [5] Weis Fogh T，Jensen M.Biology and physics of locust flight—Ⅱ basic principles in insect flight[J].Philosophical Transactions of the Royal Society Biological Sciences,1956,239:553—584. [6] Dudley T.The Biomechanics of Insect　Flight[M].Princeton: Princeton University Press，2000,35—47. [7] Ellington C P.The aerodynamics of hovering insect flight—Ⅰ the quasi-steady analysis[J].Philosophical Transactions of the Royal Society Biological Sciences,1984,305:1—15. [8] Weis Fogh T.Quick estimates of flight fitness in hovering animals,including novel mechanisms for lift production[J].Journal of Experimental Biology,1973,59:169—230. [9] Lighthill M J.The Weis-Fogh mechanism of lift generation[J].Journal of Fluid Mechanics,1973,60(1):1—17. [10] Edwards R H,Cheng H K.The separation vortex in the Weis-Fogh circulation-generation mechanism[J].J Fluid Mech，1982,120(1):463—473. [11] Maxworthy T.Experiments on the Weis-Fogh mechanism of lift generation by insects in hovering flight—Part 1 Dyanmics of the claping and fling[J].Journal of Fluid Mechanics,1979,93(1):47—63. [12] Spedding G R,Maxworthy T.The generation of circulation and lift in a rigid two-dimensional fling[J].J Fluid Mech,1986,165:247—272. [13] Ellington C P,Berg C V D，Willmott A P，et al.Leading-edge vortices in insect flight[J].Nature，1996,384:626—630. doi: 10.1038/384626a0 [14] Dickinson M H,Lehmann F O，Sane S P.Wing rotation and the aerodynamic basis of insect flight[J].Science,1999,284(5422):1954—1960. [15] Jane Wang Z.Two dimensional mechanism for insect hovering[J].Physical Review Letters,2000,85(10):2216—2219. [16] LAN Shi-long,SUN Mao.Aerodynamic properties of a wing performing unsteady rotational motions[J].Acta Mechanica Sihica,2001,33(2):173—182.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142