Numerical investigation of the hydrodynamics of anguilliform swimming in the transitional and inertial flow regimes

Journal of Experimental Biology

Volumn 212, Issue 4, 2009, Pages 576-592

  Borazjani, Iman ^a   Sotiropoulos, Fotis ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Anguilliform; Carangiform; Energetics; Fish swimming; Lamprey; Numerical simulations; Wake structure

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; COMPARATIVE STUDY; EEL; FLOW KINETICS; PHYSIOLOGY; SWIMMING; TAIL;

ANIMALS; BIOMECHANICS; EELS; MODELS, BIOLOGICAL; RHEOLOGY; SWIMMING; TAIL;

ANGUILLIFORMES; PETROMYZONTIDAE;

EID: 59849092642     PISSN: 00220949     EISSN: None     Source Type: Journal    
DOI: 10.1242/jeb.025007     Document Type: Article

References (47)

1. Anderson, E., McGillis, W. and Grosenbaugh, M. (2001). The boundary layer of swimming fish. J. Exp. Biol. 201, 81-102.
2. Bainbridge, R. (1958). The speed of swimming of fish as related to size and to the frequency and amplitude of the tail beat. J. Exp. Biol. 35, 109.
3. Balay, S., Buschelman, K., Eijkhout, V., Gropp, W. D., Kaushik, D., Knepley, M.G., Curfman McInnes, L., Smith, B. F. and Zhang, H. (2004). PETSc User Manual, Argonne National Laboratory Report No. ANL-95/11 - Revision 2.1.5.
4. Barrett, D. S., Triantafyllou, M. S. and Yue, D. K. P. (1999). Drag reduction in fish-like locomotion. J. Fluid Mech. 392, 183.
5. Borazjani, I. (2008). Numerical simulations of fluid-structure interaction problems in biological flows. PhD Thesis, Mechanical Engineering Department, University of Minnesota, Minneapolis, MN, USA.
6. Borazjani, I. and Sotiropoulos, F. (2008). Numerical investigation of the hydrodynamics of carangiform swimming in the transitional and inertial flow regimes. J. Exp. Biol. 211, 1541-1558.
7. Borazjani, I., Ge, L. and Sotiropoulos, F. (2008). Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3D rigid bodies. J. Comput. Phys. 227, 7587-7620.
8. Buchholz, J. H. J. and Smits, A. J. (2008). The wake structure and thrust performance of a rigid low-aspect-ratio pitching panel. J. Fluid Mech. 603, 331-365.
9. Carling, J. and Williams, T. L. (1998). Self-propelled anguilliform swimming: simultaneous solution of the two-dimensional Navier-Stokes. J. Exp. Biol. 201, 3143-3166.
10. Cheng, J. Y. and Blickhan, R. (1994). Note on the calculation of propeller efficiency using elongated body theory. J. Exp. Biol. 192, 169-177.
11. Dabiri, J. O. (2005). On the estimation of swimming and flying forces from wake measurements. J. Exp. Biol. 208, 3519-3532.
12. Donley, J. M. and Dickson, K. A. (2000). Swimming kinematics of juvenile kawakawa tuna (Euthynnus affinis) and chub mackerel (Scomber japonicus). J. Exp. Biol. 203, 3103-3116.
13. Fish, F. E. (1993). Power output and propulsive efficiency of swimming bottlenose dolphins (Tursiops truncatus). J. Exp. Biol. 185, 179-193.
14. Fish, F. E. and Lauder, G. V. (2006). Passive and active flow control by swimming fishes and mammals. Annu. Rev. Fluid Mech. 38, 193.
15. Fish, F. E., Innes, S. and Ronald, K. (1988). Kinematics and estimated thrust production of swimming harp and ringed seals. J. Exp. Biol. 137, 157-173.
16. Ge, L. and Sotiropoulos, F. (2007). A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries. J. Comput. Phys. 225, 1782-1809.
17. Gilmanov, A. and Sotiropoulos, F. (2005). A hybrid cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies. J. Comput. Phys. 207, 457.
18. Gray, J. (1933a). Studies in animal locomotion II. The relationship between waves of muscular contraction and the propulsive mechanism of the eel. J. Exp. Biol. 10, 386-390.
19. Gray, J. (1933b). Studies in animal locomotion. I. The movement of fish with special reference to the eel. J. Exp. Biol. 10, 88-104.
20. Hultmark, M., Leftwich, M. and Smits, A. (2007). Flowfield measurements in the wake of a robotic lamprey. Exp. Fluids 43, 683.
21. Hunt, J. C. R., Wray, A. A. and Moin, P. (1988). Eddies, streams, and convergence zones in turbulent flows. In Studying Turbulence Using Numerical Simulation Databases, 2. Proceedings of the 1988 Summer Program, (SEE N89-24538 18-34), pp. 193-208. Stanford, CA: Summer Program, June-July 1988.
22. Kern, S. and Koumoutsakos, P. (2006). Simulations of optimized anguilliform swimming. J. Exp. Biol. 209, 4841.
23. Koochesfahani, M. M. (1989). Vortical patterns in the wake of an oscillating airfoil. AIAA Stud. J. 27, 1200.
24. Lauder, G. V. and Tytell, E. D. (2006). Hydrodynamics of undulatory propulsion. Fish Physiol. 23, 425-468.
25. Lighthill, M. J. (1960). Note on swimming of slender fish. J. Mech. 9, 305.
26. Lighthill, M. J. (1969). Hydromechanics of aquatic animal propulsion. Annu. Rev. Fluid Mech. 1, 413-446.
27. Lighthill, M. J. (1970). Aquatic animal propulsion of high hydromechanical efficiency. J. Fluid Mech. 44, 265.
28. Lighthill, M. J. (1971). Large-amplitude elongated-body theory of fish locomotion. Proc. R. Soc. Lond. B, Biol. Sci. 179, 125.
29. Lindsey, C. C. (1978). Form, function, and locomotory habits in fish. In Fish Physiology (ed. W. S. Hoar and D. J. Randall), pp. 1-100. New York: Academic Press.
30. Liu, H. and Kawachi, K. (1999). A numerical study of undulatory swimming. J. Comput. Phys. 155, 223.
31. Muller, U. K., Van Den Heuvel, B. L. E., Stamhuis, E. J. and Videler, J. J. (1997). Fish foot prints: morphology and energetics of the wake behind a continuously swimming mullet (Chelon labrosus Risso). J. Exp. Biol. 200, 2893-2906.
32. Muller, U. K., Smit, J., Stamhuis, E. J. and Videler, J. J. (2001). How the body contributes to the wake in undulatory fish swimming: flow fields of a swimming eel (Anguilla anguilla). J. Exp. Biol. 204, 2751-2762.
33. Muller, U. K., van den Boogaart, J. G. M. and van Leeuwen, J. L. (2008). Flow patterns of larval fish: undulatory swimming in the intermediate flow regime. J. Exp. Biol. 211, 196.
34. Nauen, J. C. and Lauder, G. V. (2002). Hydrodynamics of caudal fin locomotion by chub mackerel, Scomber japonicus (Scombridae). J. Exp. Biol. 205, 1709.
35. Rosen, M. W. (1959). Water flow about a swimming fish. PhD thesis, US Naval Ordnance Test Station, China Lake, CA, USA.
36. Saad, Y. (2003). Iterative Methods for Sparse Linear Systems. Philadelphia: SIAM.
37. Schultz, W. W. and Webb, P. W. (2002). Power requirements of swimming: do new methods resolve old questions? Integr. Comp. Biol. 42, 1018-1025.
38. Sfakiotakis, M., Lane, D. M. and Davies, J. B. C. (1999). Review of fish swimming modes for aquatic locomotion. IEEE J. Ocean. Eng. 24, 237.
39. Shen, L., Zhang, X., Yue, D. K. P. and Triantafyllou, M. S. (2003). Turbulent flow over a flexible wall undergoing a streamwise travelling wave motion. J. Fluid Mech. 484, 197.
40. Triantafyllou, M. S. and Triantafyllou, G. S. (1995). An efficient swimming machine. Sci. Am. 272, 64.
41. Triantafyllou, M. S., Triantafyllou, G. S. and Yue, D. K. P. (2000). Hydrodynamics of fishlike swimming. Annu. Rev. Fluid Mech. 32, 33-53.
42. Tytell, E. D. (2004). Kinematics and hydrodynamics of linear acceleration in eels, Anguilla rostrata. Proc. R. Soc. Lond. B, Biol. Sci. 271, 2535-2540.
43. Tytell, E. D. (2007). Do trout swim better than eels? Challenges for estimating performance based on the wake of self-propelled bodies. Exp. Fluids 43, 701-712.
44. Tytell, E. D. and Lauder, G. V. (2004). The hydrodynamics of eel swimming I. Wake structure. J. Exp. Biol. 207, 1825.
45. Videler, J. J. (1993). Fish Swimming. London: Chapman and Hall.
46. Videler, J. J. and Wardle, C. S. (1991). Fish swimming stride by stride: speed limits and endurance. Rev. Fish Biol. Fish. 1, 23.
47. Wolfgang, M. J., Anderson, J. M., Grosenbaugh, M. A., Yue, D. K. and Triantafyllou, M. S. (1999). Near-body flow dynamics in swimming fish. J. Exp. Biol. 202, 2303-2327.