A Numerical Method for Simulating Fast-Swimming Motions

Cortez, Ricardo

doi:10.1007/978-1-4613-0151-6_3

Ricardo Cortez⁴

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 124))

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Abstract

A numerical method for the simulation of thin, elastic immersed boundaries in a two-dimensional fluid is introduced. The method is Lagrangian and combines the use of vortices and impulse elements (vortex dipoles). Consequently, it is best suited for applications where the Reynolds number is high. The example presented here is the motion of an undulating filament, simulating the swimming of an organism in a slightly viscous fluid.

This work was supported in part by NSF grant DMS-9816951.

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References

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Authors and Affiliations

Department of Mathematics, Tulane University, 6823 St. Charles Ave., #424, New Orleans, LA, 70118
Ricardo Cortez

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Ricardo Cortez
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Editors and Affiliations

Department of Mathematics, Tulane University, New Orleans, LA, 70118, USA
Lisa J. Fauci
Department of Mathematics, Technion—Israel Institute of Technology, Haifa, 32000, Israel
Shay Gueron

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Cortez, R. (2001). A Numerical Method for Simulating Fast-Swimming Motions. In: Fauci, L.J., Gueron, S. (eds) Computational Modeling in Biological Fluid Dynamics. The IMA Volumes in Mathematics and its Applications, vol 124. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0151-6_3

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DOI: https://doi.org/10.1007/978-1-4613-0151-6_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6539-9
Online ISBN: 978-1-4613-0151-6
eBook Packages: Springer Book Archive

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