zbMATH — the first resource for mathematics

Interaction of oscillating filaments: A computational study. (English) Zbl 0682.76105
Summary: The immersed boundary technique is used to model the interaction of swimming filaments in a viscous, incompressible fluid. Fluid quantities are represented on a grid, and the immersed filaments are each represented by a discrete collection of moving points. The effects of phase differences and proximity of the filaments on energy dissipation and swimming speeds are studied. The computed results are compared with previous asymptotic analysis. Furthermore, we present case studies which exhibit phase-(un)locking phenomena undetectable using previous asymptotic analysis.

76Z10 Biopropulsion in water and in air
76M99 Basic methods in fluid mechanics
Full Text: DOI
[1] Taylor, G.I., (), 447
[2] Weihs, D., Nature, 241, 290, (1973)
[3] Sleigh, M.A.; Barlow, D.I., Metachronism and locomotion, (), 49
[4] Fauci, L.J.; Peskin, C.S., J. comput. phys., 77, 85, (1988)
[5] Peskin, C.S., J. comput. phys., 25, 220, (1977)
[6] Chorin, A.J., Math. comput., 22, 745, (1968)
[7] Burns; Parkes, J. fluid mech., 29, 731, (1967)
[8] Lighthill, Mathematical biofluidmechanics, ()
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.