Drag of a flexible fiber in a 2D moving viscous fluid

Computers and Fluids

Volumn 36, Issue 2, 2007, Pages 398-406

  Zhu, Luoding ^a   Peskin, Charles S ^b  

^a INDIANA UNIVERSITY   (United States)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DRAG; ELASTICITY; FIBERS; MATHEMATICAL MODELS;

DRAG COEFFICIENT; FLEXIBLE FIBER; IMMERSED BOUNDARY METHOD;

VISCOUS FLOW;

DRAG; ELASTICITY; FIBERS; MATHEMATICAL MODELS; VISCOUS FLOW;

EID: 33750613221     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2006.02.002     Document Type: Article

References (24)

1. Vogel S. Life in moving fluids-the physical biology of flow (1996), Princeton University Press, Princeton, NJ
2. Denny M.W. Extreme drag forces and the survival of wind and water-swept organisms. J Exp Biol 195 (1994) 97-115
3. Vogel S. Drag and reconfiguration of broad leaves in high winds. J Exp Bot 40 217 (1989) 941-948
4. Vogel S. Drag and flexibility in sessile organisms. Am Zool 24 (1984) 37-44
5. Koehl M.A.R. How do benthic organisms withstand moving water?. Am Zool 24 (1984) 57-70
6. Alben S., Shelley M., and Zhang J. Drag reduction through self-similar bending of a flexible body. Nature 420 6915 (2002) 479
7. Steinburg V. Bend and survive. Nature 420 (2002) 473
8. Alben S., Shelley M., and Zhang J. How flexibility induces streamlining in two-dimensional flow. Phys Fluids 16 5 (2004) 1694-1713
9. Peskin C.S. The immersed boundary method. Acta Numer 11 (2002) 479
10. Peskin C.S. Flow patterns around heart valves: a numerical method. J Comp Physiol 25 (1977) 220
11. Peskin C.S., and McQueen D.M. Fluid dynamics of the heart and its valves. In: Othmer H.G., Adler F.R., Lewis M.A., and Dallon J.C. (Eds). Case studies in mathematical modeling: ecology, physiology, and cell biology (1996), Prentice-Hall, Englewood Cliffs, NJ 309
12. Peskin C.S., and McQueen D.M. Computational biofluid dynamics. Contemp Math 141 (1993) 161
13. Peskin C.S., and Printz B.F. Improved volume conservation in the computation of flows with immersed elastic boundaries. J Comp Physiol 105 (1993) 33
14. Lai M.C., and Peskin C.S. An immersed boundary method with formal second order accuracy and reduced numerical viscosity. J Comp Physiol 160 (2000) 705
15. Lai MC. Simulations of the flow past an array of circular cylinders as a test of the immersed boundary method. PhD thesis, Courant Institute, New York University, 1998.
16. McQueen D.M., and Peskin C.S. Heart simulation by an immersed boundary method with formal second order accuracy and reduced numerical viscosity. In: Aref H., and Phillips J.W. (Eds). Mechanics for a new millennium: proceedings of the ICTAM 2000 (2000), Kluwer Academic Publishers, Dordrecht, The Netherlands
17. Briggs W.L., Henson V.E., and McCormick S.F. A multigrid tutorial. 2nd ed. (2000), SIAM
18. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical recipes in Fortran: the art of scientific computing. 2nd ed. (1992), Cambridge University Press p. 862
19. Brandt A. Multigrid techniques: guide with application to fluid dynamics, GMD-studien No. 85. Gesellschaft fur Mathematik und Datenverarbeitung, St. Augustin, Bonn, 1984.
20. Zhu L. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. PhD thesis, Courant Institute, New York University, 2001.
21. Zhu L., and Peskin C.S. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. J Comp Physiol 179 (2002) 452
22. Chomaz J.M. The dynamics of a viscous soap film with soluble surfactant. J Fluid Mech 442 (2001) 387
23. Chomaz J.M., and Cathalau B. Soap films as a classic fluids. Phys Rev A 41 (1990) 2243
24. Rivers M., and Wu X.L. External dissipation in driven two-dimensional turbulence. Phys Rev Lett 85 (2000) 976