Abstract
Numerical simulations of the Lighthill–Weis-Fogh mechanism are performed using a Fourier pseudo-spectral method with volume penalization. Single-winged and double-winged configurations are compared, and the vortex shedding patterns are related to the lift generated in both cases. The computations of the lift coefficient are validated against the results reported previously by Miller and Peskin (J Exp Biol 208:195–212, 2005).
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Weis-Fogh T.: Quick estimates of flight fitness in hovering animals, including novel mechanisms for lift production. J. Exp. Biol. 59, 169–230 (1973)
Lighthill M.J.: On the Weis-Fogh mechanism of lift generation. J. Fluid Mech. 60(1), 1–17 (1973)
Miller L.A., Peskin C.S.: A computational fluid dynamics of ‘clap and fling’ in the smallest insects. J. Exp. Biol. 208, 195–212 (2005)
Schneider K., Farge M.: Numerical simulation of the transient flow behaviour in tube bundles using a volume penalization method. J. Fluids Struct. 20, 555–566 (2005)
Kolomenskiy D., Schneider K.: A Fourier spectral method for the Navier–Stokes equations with volume penalization for moving solid obstacles. J. Comput. Phys. 228, 5687–5709 (2009)
Angot P., Bruneau C.H., Fabrie P.: A penalisation method to take into account obstacles in viscous flows. Numer. Math. 81, 497–520 (1999)
Canuto C., Hussaini M.Y., Quarteroni A., Zang T.A.: Spectral Methods in Fluid Dynamics. Springer, New York (1988)
Maxworthy T.: Experiments on the Weis-Fogh mechanism of lift generation by insects in hovering flight. Part 1. Dynamics of the ‘fling’. J. Fluid Mech. 93(1), 47–63 (1979)
Moffatt H.K.: Viscous and resistive eddies near a sharp corner. J. Fluid Mech. 18(1), 1–18 (1963)
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Kolomenskiy, D., Moffatt, H.K., Farge, M. et al. Vorticity generation during the clap–fling–sweep of some hovering insects. Theor. Comput. Fluid Dyn. 24, 209–215 (2010). https://doi.org/10.1007/s00162-009-0137-2
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DOI: https://doi.org/10.1007/s00162-009-0137-2