A Reconciliation of Viscous and Inviscid Approaches to Computing Locomotion of Deforming Bodies

Experimental Mechanics

Volumn 50, Issue 9, 2010, Pages 1349-1353

  Eldredge, J D ^a  

^a University of California   (United States)

Author keywords

Biolocomotion; Computational fluid dynamics; Fluid structure interaction

Indexed keywords

ADDED MASS; AMBIENT FLUIDS; BIOLOCOMOTION; BODY DYNAMICS; BODY MOTIONS; COMPUTATIONAL FLUID; COUPLED SOLUTION; DYNAMICAL EQUATION; HIGH REYNOLDS NUMBER; INERTIAL FORCES; IRROTATIONAL; PERFECT FLUID; VISCOUS FORCES;

COMPUTATIONAL FLUID DYNAMICS; FLUID DYNAMICS; FLUID STRUCTURE INTERACTION; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; VORTICITY;

FLUIDS;

EID: 78650215598     PISSN: 00144851     EISSN: 17412765     Source Type: Journal    
DOI: 10.1007/s11340-009-9275-0     Document Type: Article

References (21)

1. Eldredge JD (2006) Numerical simulations of undulatory swimming at moderate reynolds number. Bioinspir Biomim 1(4): S19-S24.
2. Borazjani I, Sotiropoulos F (2008) Numerical investigation of the hydrodynamics of carangiform swimming in the transitional and inertial flow regimes. J Exp Biol 211: 1541-1558.
3. Kelly SD (1998) The mechanics and control of robotic locomotion with applications to aquatic vehicles. PhD thesis, California Institute of Technology.
4. Shashikanth BN, Marsden JE, Burdick JW, Kelly SD (2002) The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices. Phys Fluids 14(3): 1214-1227.
5. Kanso E, Marsden JE, Rowley CW, Melli-Huber JB (2005) Locomotion of articulated bodies in a perfect fluid. J Nonlinear Sci 15(4): 255-289.
6. Kanso E, Oskouei BG (2008) Stability of a coupled body-vortex system. J Fluid Mech 600: 77-94.
7. Carling J, Williams TL, Bowtell G (1998) Self-propelled anguilliform swimming: simultaneous solutions of the two-dimensional Navier-Stokes equations and Newton's laws of motion. J Exp Biol 201: 3143-3166.
8. Kern S, Koumoutsakos P (2006) Simulations of optimized anguilliform swimming. J Exp Biol 209: 4841-4857.
9. Andersen A, Pesavento U, Wang ZJ (2005) Unsteady aerodynamics of fluttering and tumbling plates. J Fluid Mech 541: 65-90.
10. Spagnolie SE, Shelley MJ (2009) Shape-changing bodies in fluid: hovering, ratcheting, and bursting. Phys Fluids 21(1): 013103.
11. Chorin AJ, Hughes TJR, McCracken MF, Marsden JE (1978) Product formulas and numerical algorithms. Commun Pure Appl Math 31(2): 205-256.
12. Eldredge JD (2008) Dynamically coupled fluid-body interactions in vorticity-based numerical simulations. J Comput Phys 227(21): 9170-9194.
13. Wu JC (1981) Theory for aerodynamic force and moment in viscous flows. AIAA J 19(4): 432-441.
14. Saffman PG (1992) Vortex dynamics. Cambridge University Press, Cambridge.
15. Zhang LJ, Eldredge JD (2009) A viscous vortex particle method for deforming bodies with application to biolocomotion. Int J Numer Methods Fluids 59: 1299-1320.
16. Lamb H (1932) Hydrodynamics, 6th edn. Cambridge University Press, Cambridge.
17. Xiong H, Kelly SD (2008) Self-propulsion of a deformable joukowski foil in a perfect fluid with vortex shedding. J Nonlinear Sci (under review).
18. Lighthill MJ (1961) Introduction: boundary layer theory. In: Rosenhead L (ed) Laminar boundary layers. Clarendon Press, Clarendon.
19. Koumoutsakos P, Leonard A, Pepin F (1994) Boundary conditions for viscous vortex methods. J Comput Phys 113(1): 52-61.
20. Eldredge JD (2007) Numerical simulation of the fluid dynamics of 2D rigid body motion with the vortex particle method. J Comput Phys 221(2): 626-648.
21. Russell D, Wang ZJ (2003) A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow. J Comput Phys 191: 177-205.