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Natural Locomotion in Fluids and on Surfaces pp 255–262Cite as

Simulating Vortex Wakes of Flapping Plates

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Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 155))

Abstract

We compare different models to simulate two-dimensional vortex wakes behind oscillating plates. In particular, we compare solutions using a vortex sheet model and the simpler Brown–Michael model to solutions of the full Navier–Stokes equations obtained using a penalization method. The goal is to determine whether simpler models can be used to obtain good approximations to the form of the wake and the induced forces on the body.

Primary 76B47

AMS(MOS) subject classifications. Primary 76B47

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Acknowledgements

The work of AY and EK is supported by the NSF CAREER award CMMI 06-44925 and the grant CCF08-11480.

Author information

Authors and Affiliations

  1. M2P2 CNRS, Aix-Marseille Université, 13453, Marseille, France

    J. X. Sheng, D. Kolomenskiy & K. Schneider

  2. ETH Zurich, 8092, Zurich, Switzerland

    J. X. Sheng

  3. University of Southern California, Los Angeles, CA, 90089, USA

    A. Ysasi & E. Kanso

  4. Centre Européen de Recherche et de Formation Avancée en Calcul Scientifique (CERFACS), Toulouse, France

    D. Kolomenskiy

  5. Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM, 87131, USA

    M. Nitsche

Authors
  1. J. X. Sheng
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  2. A. Ysasi
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  3. D. Kolomenskiy
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  4. E. Kanso
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  5. M. Nitsche
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  6. K. Schneider
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Editor information

Editors and Affiliations

  1. Courant Institute of Math Sciences, New York University, Mercer Street 251, New York City, 10012, New York, USA

    Stephen Childress

  2. Massachusetts Institute of Technology, Massachusetts Avenue 77, Cambridge, 02139, Massachusetts, USA

    Anette Hosoi

  3. , Department of Mechanical Engineering, The University of Michigan, Auto Lab 2027, Ann Arbor, 48109, Michigan, USA

    William W. Schultz

  4. , Mechanical and Aerospace Engineering, Cornell University, Ithaca, 14850, New York, USA

    Jane Wang

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Sheng, J.X., Ysasi, A., Kolomenskiy, D., Kanso, E., Nitsche, M., Schneider, K. (2012). Simulating Vortex Wakes of Flapping Plates. In: Childress, S., Hosoi, A., Schultz, W., Wang, J. (eds) Natural Locomotion in Fluids and on Surfaces. The IMA Volumes in Mathematics and its Applications, vol 155. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3997-4_21

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