Abstract: In this paper, medusan swimming in a quiescent fluid flow environment is simulated via a two-way nonlinear fluid-structure interaction (FSI) technique with the aid of immersed boundary method (IBM). In this regard, incompressible Navier-Stokes equations coupled with Lagrangian interaction equations between fluid and immersed structure are solved using IB2d code. For the simulations, immersed jellyfish bell membrane is modeled in a spring fiber built-in case available in the code. Afterwards, Lagrangian coherent structures (LCS) of the flow field are extracted to capture transport barriers in the case of jellyfish swimming. These hidden structures depict formation of distinct regions in the animal wake, including starting and stopping vortices.
Keywords: LCS, Jellyfish Swimming, FSI, IBM, Bionic
[1]. K. N. Lucas, N. Johnson,W. T. Beaulieu, E. Cathcart, G. Tirrell, S. P. Colin, B. J. Gemmell, J. O. Dabiri, and John H. Costello, Bending rules for animal propulsion, Journal of Nature Communications, 5(3293), 2014, 1-7, DOI: 10.1038/ncomms4293.
[2]. J. O. Dabiri1, S. P. Colin, J. H. Costello and M. Gharib, Flow patterns generated by oblate medusan jellyfish: field measurements and laboratory analyses, Journal of Experimental Biology 208, 2005, 1257-1265.
[3]. N.A. Battista, A.J. Baird, L.A. Miller, A mathematical model and MATLAB code for muscle-fluid-structure simulations, Journal of Integrative and Comparative Biology, 55(5), 2015, 901-911.
[4]. N.A. Battista, W.C. Strickland, and L.A. Miller, IB2d: a Python and MATLAB implementation of the immersed boundary method, Bioinspiration and Biomimicry Journal, 12(3), 2017, 036003.
[5]. S.C. Shadden, J.O. Dabiri, and J.E. Marsden, Lagrangian analysis of fluid transport in empirical vortex ring flows, Journal of Physics of Fluid, 18, 2006, 1-11, 047105, 2006..