A computational model of aquatic animal locomotion.

*(English)*Zbl 0641.76140Summary: A computational model of the swimming of a neutrally buoyant organism undergoing deformations within a region of fluid is presented. The fluid is regarded as viscous and incompressible and the organism as a massless, elastic boundary immersed in this fluid. Fluid quantities are represented on a grid (Eulerian description), and the immersed boundary is represented by a discrete collection of moving points (Lagrangian description). Computed results are presented, along with comparisons with previous asymptotic analysis.

##### Keywords:

model of the swimming; neutrally buoyant organism; massless, elastic boundary; Eulerian description; Lagrangian description; asymptotic analysis
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\textit{L. J. Fauci} and \textit{C. S. Peskin}, J. Comput. Phys. 77, No. 1, 85--108 (1988; Zbl 0641.76140)

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##### References:

[1] | Lighthill, J.L., () |

[2] | Childress, S., Mechanics of swimming and flying, (1981), Cambridge Univ. Press London · Zbl 0499.76118 |

[3] | Taylor, G.I., (), 447 |

[4] | Tuck, E.O., J. fluid mech., 31, 305, (1968) |

[5] | Peskin, C.S., J. comput. phys., 25, 220, (1977) |

[6] | Chorin, A.J., Math. comput., 22, 745, (1968) |

[7] | Dennis, J.E.; Schnabel, R.E., Numerical methods for unconstrained optimization and nonlinear equations, (1983), Prentice-Hall Englewood Cliffs, NJ · Zbl 0579.65058 |

[8] | Fauci, L., (), (unpublished) |

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