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A computational model of aquatic animal locomotion. (English) Zbl 0641.76140
Summary: 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.

MSC:
76Z10 Biopropulsion in water and in air
92B05 General biology and biomathematics
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[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[8] Fauci, L., (), (unpublished)
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