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Computational analysis of vortex dynamics and performance enhancement due to body–fin and fin–fin interactions in fish-like locomotion

  • Geng Liu (a1), Yan Ren (a1), Haibo Dong (a1), Otar Akanyeti (a2), James C. Liao (a2) and George V. Lauder (a3)...

Abstract

Numerical simulations are used to investigate the hydrodynamic benefits of body–fin and fin–fin interactions in a fish model in carangiform swimming. The geometry and kinematics of the model are reconstructed in three-dimensions from high-speed videos of a live fish, Crevalle Jack (Caranx hippos), during steady swimming. The simulations employ an immersed-boundary-method-based incompressible Navier–Stokes flow solver that allows us to quantitatively characterize the propulsive performance of the fish median fins (the dorsal and the anal fins) and the caudal fin using three-dimensional full body simulations. This includes a detailed analysis of associated performance enhancement mechanisms and their connection to the vortex dynamics. Comparisons are made using three different models containing different combinations of the fish body and fins to provide insights into the force production. The results indicate that the fish produces high performance propulsion by utilizing complex interactions among the fins and the body. By connecting the vortex dynamics and surface force distribution, it is found that the leading-edge vortices produced by the caudal fin are associated with most of the thrust production in this fish model. These vortices could be strengthened by the vorticity capture from the vortices generated by the posterior body during undulatory motion. Meanwhile, the pressure difference between the two sides of posterior body resulting from the posterior body vortices (PBVs) helps with the alleviation of the body drag. The appearance of the median fins in the posterior region further strengthens the PBVs and caudal-fin wake capture mechanism. This work provides new physical insights into how body–fin and fin–fin interactions enhance thrust production in swimming fishes, and emphasizes that movements of both the body and fins contribute to overall swimming performance in fish locomotion.

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Corresponding author

Email address for correspondence: haibo.dong@virginia.edu

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Present address: Department of Mechanical Engineering, University of Maine, Orono, ME 04469, USA.

§

Present address: Department of Computer Science, Aberystwyth University, Ceredigion, SY23 3FL, UK.

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References

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Ahlborn, B., Harper, D. G., Blake, R.W., Ahlborn, D. & Cam, M. 1991 Fish without footprints. J. Theor. Biol. 148 (4), 521533.
Akanyeti, O., Thornycroft, P. J. M., Lauder, G. V., Yanagitsuru, Y. R., Peterson, A. N. & Liao, J. C. 2016 Fish optimize sensing and respiration during undulatory swimming. Nat. Commun. 7, 1104411051.
Akhtar, I., Mittal, R., Lauder, G. V. & Drucker, E. 2007 Hydrodynamics of a biologically inspired tandem flapping foil configuration. Theor. Comput. Fluid Dyn. 21 (3), 155170.
Anderson, J. M., Streitlien, K., Barrett, D. S. & Triantafyllou, M. S. 1998 Oscillating foils of high propulsive efficiency. J. Fluid Mech. 360, 4172.
Borazjani, I. & Daghooghi, M. 2013 The fish tail motion forms an attached leading edge vortex. Proc. R. Soc. Lond. B 280 (1756), 20122071.
Borazjani, I. & Sotiropoulos, F. 2008 Numerical investigation of the hydrodynamics of carangiform swimming in the transitional and inertial flow regimes. J. Expl Biol. 211 (10), 15411558.
Borazjani, I. & Sotiropoulos, F. 2010 On the role of form and kinematics on the hydrodynamics of self-propelled body/caudal fin swimming. J. Expl Biol. 213 (1), 89107.
Borazjani, I., Sotiropoulos, F., Tytell, E. D. & Lauder, G. V. 2012 Hydrodynamics of the bluegill sunfish c-start escape response: three-dimensional simulations and comparison with experimental data. J. Expl Biol. 215 (4), 671684.
Boschitsch, B. M., Dewey, P. A. & Smits, A. J. 2014 Propulsive performance of unsteady tandem hydrofoils in an in-line configuration. Phys. Fluids 26 (5), 051901.
Bottom, R. G. II, Borazjani, I., Blevins, E. L. & Lauder, G. V. 2016 Hydrodynamics of swimming in stingrays: numerical simulations and the role of the leading-edge vortex. J. Fluid Mech. 788, 407443.
Bozkurttas, M., Mittal, R., Dong, H., Lauder, G. V. & Madden, P. 2009 Low-dimensional models and performance scaling of a highly deformable fish pectoral fin. J. Fluid Mech. 631, 311342.
Buchholz, J. H. J. & Smits, A. J. 2006 On the evolution of the wake structure produced by a low-aspect-ratio pitching panel. J. Fluid Mech. 546, 433443.
Chang, X., Zhang, L. & He, X. 2012 Numerical study of the thunniform mode of fish swimming with different Reynolds number and caudal fin shape. Comput. Fluids 68, 5470.
Dewar, H. & Graham, J. 1994 Studies of tropical tuna swimming performance in a large water tunnel-kinematics. J. Expl Biol. 192 (1), 4559.
Dong, G. & Lu, X. 2007 Characteristics of flow over traveling wavy foils in a side-by-side arrangement. Phys. Fluids 19 (5), 057107.
Dong, H., Bozkurttas, M., Mittal, R., Madden, P. & Lauder, G. V. 2010 Computational modelling and analysis of the hydrodynamics of a highly deformable fish pectoral fin. J. Fluid Mech. 645, 345373.
Dong, H., Mittal, R. & Najjar, F. M. 2006 Wake topology and hydrodynamic performance of low-aspect-ratio flapping foils. J. Fluid Mech. 566, 309343.
Drucker, E. G. & Lauder, G. V. 2001 Locomotor function of the dorsal fin in teleost fishes: experimental analysis of wake forces in sunfish. J. Expl Biol. 204 (17), 29432958.
Fish, F. E., Schreiber, C. M., Moored, K. W., Liu, G., Dong, H. & Bart-Smith, H. 2016 Hydrodynamic performance of aquatic flapping: efficiency of underwater flight in the manta. Aerospace 3 (3), 124.
Gopalkrishnan, R., Triantafyllou, M. S., Triantafyllou, G. S. & Barrett, D. 1994 Active vorticity control in a shear flow using a flapping foil. J. Fluid Mech. 274, 121.
Kern, S. & Koumoutsakos, P. 2006 Simulations of optimized anguilliform swimming. J. Expl Biol. 209 (24), 48414857.
Koehler, C., Liang, Z., Gaston, Z., Wan, H. & Dong, H. 2012 3D reconstruction and analysis of wing deformation in free-flying dragonflies. J. Expl Biol. 215 (17), 30183027.
Koehler, C., Wischgoll, T., Dong, H. & Gaston, Z. 2011 Vortex visualization in ultra low Reynolds number insect flight. IEEE Trans. Vis. Comput. Graphics 17 (12), 20712079.
Koochesfahani, M. M. 1989 Vortical patterns in the wake of an oscillating airfoil. AIAA J. 27 (9), 12001205.
Lauder, G. V. & Tytell, E. D. 2006 Hydrodynamics of undulatory propulsion. Fish Physiology 23, 425468.
Li, C., Dong, H. & Liu, G. 2015 Effects of a dynamic trailing-edge flap on the aerodynamic performance and flow structures in hovering flight. J. Fluids Struct. 58, 4965.
Li, G., Müller, U. K., van Leeuwen, J. L. & Liu, H. 2016 Fish larvae exploit edge vortices along their dorsal and ventral fin folds to propel themselves. J. R. Soc. Interface 13 (116), 20160068.
Lighthill, M. J. 1970 Aquatic animal propulsion of high hydromechanical efficiency. J. Fluid Mech. 44 (02), 265301.
Liu, G., Dong, H. & Li, C. 2016 Vortex dynamics and new lift enhancement mechanism of wing–body interaction in insect forward flight. J. Fluid Mech. 795, 634651.
Liu, G., Ren, Y., Zhu, J., Bart-Smith, H. & Dong, H. 2015 Thrust producing mechanisms in ray-inspired underwater vehicle propulsion. Theor. Appl. Mech. Lett. 5 (1), 5457.
Liu, G., Yu, Y. & Tong, B. 2011a Flow control by means of a traveling curvature wave in fishlike escape responses. Phys. Rev. E 84 (5), 056312.
Liu, G., Yu, Y. & Tong, B. 2011b A numerical simulation of a fishlike body’s self-propelled c-start. In AIP Conference Proceedings, vol. 1376, pp. 480483. AIP.
Liu, H. & Kawachi, K. 1999 A numerical study of undulatory swimming. J. Comput. Phys. 155 (2), 223247.
Liu, H., Wassersug, R. & Kawachi, K. 1996 A computational fluid dynamics study of tadpole swimming. J. Expl Biol. 199 (6), 12451260.
Mittal, R. & Balachandar, S. 1995 Generation of streamwise vortical structures in bluff body wakes. Phys. Rev. Lett. 75 (7), 1300.
Mittal, R., Dong, H., Bozkurttas, M., Lauder, G. V. & Madden, P. 2006 Locomotion with flexible propulsors: Ii. Computational modeling of pectoral fin swimming in sunfish. Bioinspir. Biomim. 1 (4), S35.
Mittal, R., Dong, H., Bozkurttas, M., Najjar, F. M., Vargas, A. & von Loebbecke, A. 2008 A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries. J. Comput. Phys. 227 (10), 48254852.
Müller, U. K., Smit, J., Stamhuis, E. J. & Videler, J. J. 2001 How the body contributes to the wake in undulatory fish swimming. J. Expl Biol. 204 (16), 27512762.
Standen, E. M. & Lauder, G. V. 2007 Hydrodynamic function of dorsal and anal fins in brook trout (salvelinus fontinalis). J. Expl Biol. 210 (2), 325339.
Triantafyllou, G. S., Triantafyllou, M. S. & Grosenbaugh, M. A. 1993 Optimal thrust development in oscillating foils with application to fish propulsion. J. Fluids Struct. 7 (2), 205224.
Tytell, E. D. 2006 Median fin function in bluegill sunfish lepomis macrochirus: streamwise vortex structure during steady swimming. J. Expl Biol. 209 (8), 15161534.
Videler, J. J. & Wardle, C. S. 1991 Fish swimming stride by stride: speed limits and endurance. Reviews in Fish Biology and Fisheries 1 (1), 2340.
Wan, H., Dong, H. & Gai, K. 2015 Computational investigation of cicada aerodynamics in forward flight. J. R. Soc. Interface 12 (102), 20141116.
Wang, S., Zhang, X. & He, G. 2012 Numerical simulation of a three-dimensional fish-like body swimming with finlets. Commun. Comput. Phys. 11 (04), 13231333.
Wolfgang, M. J., Anderson, J. M., Grosenbaugh, M. A., Yue, D. K. & Triantafyllou, M. S. 1999 Near-body flow dynamics in swimming fish. J. Expl Biol. 202 (17), 23032327.
Wu, Y. 1971 Hydromechanics of swimming of fishes and cetaceans. Adv. Appl. Mech. 11, 163.
Xia, D., Chen, W., Liu, J., Wu, Z. & Cao, Y. 2015 The three-dimensional hydrodynamics of thunniform swimming under self-propulsion. Ocean Engng 110, 114.
Xin, Z. & Wu, C. 2013 Shape optimization of the caudal fin of the three-dimensional self-propelled swimming fish. Science China Physics, Mechanics and Astronomy 56 (2), 328339.
Zhu, Q., Wolfgang, M. J., Yue, D. K. P. & Triantafyllou, M. S. 2002 Three-dimensional flow structures and vorticity control in fish-like swimming. J. Fluid Mech. 468, 128.
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JFM classification

Type Description Title
VIDEO
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Liu et al. supplementary movie 1
High-speed video of a Crevalle Jack (Caranx hippos) fish swimming

 Video (1.1 MB)
1.1 MB
VIDEO
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Liu et al. supplementary movie 2
3D flow structures of a Crevalle Jack fish swimming

 Video (7.4 MB)
7.4 MB

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