Simulation of flexible filaments in a uniform flow by the immersed boundary method

Journal of Computational Physics

Volumn 226, Issue 2, 2007, Pages 2206-2228

  Huang, Wei Xi ^a   Shin, Soo Jai ^a   Sung, Hyung Jin ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

Feedback forcing; Flexible filament; Fluid structure interaction; Immersed boundary method; Inextensibility

Indexed keywords

NAVIER STOKES EQUATIONS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; TURBULENT FLOW; VORTEX FLOW;

FEEDBACK FORCING; FLEXIBLE FILAMENTS; FLOW BYES; FLUID-STRUCTURE INTERACTION; FORCINGS; IMMERSED BOUNDARY METHODS; INEXTENSIBILITY; OUT OF PHASE; SIDE BY SIDES; UNIFORM FLOW;

FLUID STRUCTURE INTERACTION;

EID: 34548690784     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.07.002     Document Type: Article

References (31)

1. Zhang J., Childress S., Libchaber A., and Shelley M. Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two-dimensional wind. Nature 408 (2000) 835-839
2. Huber G. Swimming in flat sea. Nature 408 (2000) 777-778
3. Müller U.K. Fish'n flag. Science 302 (2003) 1511-1512
4. Liao J.C., Beal D.N., Lauder G.V., and Triantafyllou M.S. Fish exploiting vortices decrease muscle activity. Science 302 (2003) 1566-1569
5. Fish F.E., and Lauder G.V. Passive and active flow control by swimming fishes and mammals. Annu. Rev. Fluid Mech. 38 (2006) 193-224
6. Zhu L., and Peskin C.S. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. J. Comput. Phys. 179 (2002) 452-468
7. Zhu L., and Peskin C.S. Interaction of two flapping filaments in a flowing soap film. Phys. Fluids 15 7 (2003) 1954-1960
8. Y. Kim, C.S. Peskin, Penalty immersed boundary method for an elastic boundary with mass, peprint, 2005.
9. Yu Z. A DLM/FD method for fluid/flexible-body interactions. J. Comput. Phys. 207 (2005) 1-27
10. Glowinski R., Pana T.-W., Hesla T.I., and Joseph D.D. A distributed Lagrange multiplier/fictitious domain method for particulate flows. Int. J. Multiphase Flow 25 (1999) 755-794
11. Farnell D.J.J., David T., and Barton D.C. Numerical simulations of a filament in a flowing soap film. Int. J. Numer. Methods Fluids 44 (2004) 313-330
12. Tornberg A.-K., and Shelley M.J. Simulating the dynamics and interactions of flexible fibers in Stokes flows. J. Comput. Phys. 196 (2004) 8-40
13. Qi D. A new method for direct simulations of flexible filament suspensions in non-zero Reynolds number flows. Int. J. Numer. Methods Fluids 54 (2007) 103-118
14. Thess A., Zikanov O., and Nepomnyashchy A. Finite-time singularity in the vortex dynamics of a string. Phys. Rev. E 59 3 (1999) 3637-3640
15. Bailey H. Motion of a hanging chain after the free end is given an initial velocity. Am. J. Phys. 68 8 (2000) 764-767
16. Belmonte A., Shelley M.J., Eldakar S.T., and Wiggins C.H. Dynamic patterns and self-knotting of a driven hanging chain. Phys. Rev. Lett. 87 11 (2001) 114301
17. Mittal R., and Iaccarino G. Immersed boundary methods. Annu. Rev. Fluid Mech. 37 (2005) 239-261
18. Peskin C.S. Numerical analysis of blood flow in the heart. J. Comput. Phys. 25 (1977) 220-252
19. Peskin C.S. The immersed boundary method. Acta Numer. (2002) 479-517
20. Goldstein D., Handler R., and Sirovich L. Modeling a no-slip flow boundary with an external force field. J. Comput. Phys. 105 (1993) 354-366
21. Saiki E.M., and Biringen S. Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method. J. Comput. Phys. 123 (1996) 450-465
22. Lee C. Stability characteristics of the virtual boundary method in three-dimensional applications. J. Comput. Phys. 184 (2003) 559-591
23. Lai M.-C., and Peskin C.S. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. J. Comput. Phys. 160 (2000) 705-719
24. Uhlmann M. An immersed boundary method with direct forcing for the simulation of particulate flows. J. Comput. Phys. 209 (2005) 448-476
25. Eloy C., Souilliez C., and Schouveiler L. Flutter of a rectangular plate. J. Fluids Struct. 23 (2007) 904-919
26. Peskin C.S., and Printz B.F. Improved volume conservation in the computation of flows with immersed elastic boundaries. J. Comput. Phys. 105 (1993) 33-46
27. Kim K., Baek S.-J., and Sung H.J. An implicit velocity decoupling procedure for incompressible Navier-Stokes equations. Int. J. Numer. Methods Fluids 38 (2002) 125-138
28. Guilmineau E., and Queutey P. A numerical simulation of vortex shedding from an oscillating circular cylinder. J. Fluids Struct. 16 6 (2002) 773-794
29. Kim D., and Choi H. Immersed boundary method for flow around an arbitrarily moving body. J. Comput. Phys. 212 (2006) 662-680
30. Müller U.K., Smit J., Stamhuis E.J., and Videler J.J. How the body contribute to the wake in undulatory fish swimming: flow fields of a swimming eel (Anguilla Anguilla). J. Exp. Biol. 204 (2001) 2751-2762
31. Tytell E.D., and Lauder G.V. The hydrodynamics of eel swimming I. Wake structure. J. Exp. Biol. 207 (2004) 1825-1841