Extracting energetically dominant flow features in a complicated fish wake using singular-value decomposition

Physics of Fluids

Volumn 21, Issue 4, 2009, Pages

  Ting, Shang Chieh ^a   Yang, Jing Tang ^b  

^a NATIONAL TSING HUA UNIVERSITY   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BIOMIMETICS; FISH; TOPOLOGY; VORTICITY; WAKES;

BIOMECHANICAL RESEARCH; CRITICAL-POINT THEORY; ENERGY IMPARTED; FLUID VELOCITIES; GALILEAN INVARIANT; LARGE-SCALE FLOWS; PROPULSION EFFICIENCY; VELOCITY VECTORS;

SINGULAR VALUE DECOMPOSITION;

EID: 65549094637     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3122802     Document Type: Article

References (53)

1. M. S. Triantafyllou, G. S. Triantafyllou, and D. K. P. Yue, "Hydrodynamics of fish-like swimming," Annu. Rev. Fluid Mech. ARVFA30066-4189 32, 33 (2000).10.1146/annurev.fluid.32.1.33
2. J. E. Colgate and K. M. Lynch, "Mechanics and control of swimming: A review," IEEE J. Ocean. Eng. IJOEDY0364-9059 29, 660 (2004).10.1109/JOE.2004.833208
3. U. Müller, B. van den Heuvel, E. Stamhuis, and J. Videler, "Fish foot prints: Morphology and energetics of the wake behind a continuously swimming mullet (Chelon labrosus Risso)," J. Exp. Biol. JEBIAM0022-0949 200, 2893 (1997).
4. E. G. Drucker and G. V. Lauder, "Locomotor forces on a swimming fish: Three-dimensional vortex wake dynamics quantified using digital particle image velocimetry," J. Exp. Biol. JEBIAM0022-0949 202, 2393 (1999).
5. M. J. Wolfgang, J. M. Anderson, M. A. Grosenbaugh, D. K. P. Yue, and M. S. Triantafyllou, "Near-body flow dynamics in swimming fish," J. Exp. Biol. JEBIAM0022-0949 202, 2303 (1999).
6. J. C. Nauen and G. V. Lauder, "Hydrodynamics of caudal fin locomotion by chub mackerel, Scomber japonicus," J. Exp. Biol. JEBIAM0022-0949 205, 1709 (2002).
7. U. K. Müller and J. L. van Leeuwen, "Undulatory fish swimming: From muscles to flow," Fisheries FISHDN0363-2415 7, 84 (2006).10.1111/j.1467-2979.2006.00210.x
8. C. D. Wilga and G. V. Lauder, "Hydrodynamic function of the shark's tail," Nature (London) NATUAS0028-0836 430, 850 (2004).10.1038/ 430850a
9. W. Hanke and H. Bleckmann, "The hydrodynamic trails of Lepomis gibbosus (Centrarchidae), Colomesus psittacus (Tetraodontidae) and Thysochromis ansorgii (Cichlidae) investigated with scanning particle image velocimetry," J. Exp. Biol. JEBIAM0022-0949 207, 1585 (2004).10.1242/jeb.00922
10. H. J. Lugt, Vortex Flow in Nature and Technology (Krieger, Malabar, 1995).
11. P. Holmes, J. L. Lumley, and G. Berkooz, Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge University Press, New York, 1996).
12. D. C. Lay, Linear Algebra and Its Application, 3rd ed. (Addison-Wesley, Reading, 2003).
13. A. Chatterjee, "An introduction to the proper orthogonal decomposition," Curr. Sci. CUSCAM0011-3891 78, 808 (2000).
14. J. Ye, "Generalized low rank approximation of matrices," Mach. Learn. ZZZZZZ0885-6125 61, 167 (2005).10.1007/s10994-005-3561-6
15. R. S. Reichert, F. F. Hatay, S. Biringen, and A. Huser, "Proper orthogonal decomposition applied to turbulent flow in a square duct," Phys. Fluids PHFLE61070-6631 6, 3086 (1994).10.1063/1.868133
16. R. J. Adrian, K. T. Christensen, and Z. C. Liu, "Analysis and interpretation of instantaneous turbulent velocity field," Exp. Fluids EXFLDU0723-4864 29, 275 (2000).10.1007/s003489900087
17. S. Gamard, W. K. George, D. Jung, and S. Woodward, "Application of a 'slice' proper orthogonal decomposition to the far field of an axisymmetric turbulent jet," Phys. Fluids PHFLE61070-6631 14, 2515 (2002).10.1063/1.1471875
18. L. Sirovich, "Turbulence and the dynamics of coherent structures, part I: Coherent structures," Q. Appl. Math. QAMAAY0033-569X 45, 561 (1987).
19. J. Jeong and F. Hussain, "On the identification of a vortex," J. Fluid Mech. JFLSA70022-1120 285, 69 (1995).10.1017/S0022112095000462
20. P. Domenici and R. W. Blake, "The kinematics and performance of fish fast-start swimming," J. Exp. Biol. JEBIAM0022-0949 200, 1165 (1997).
21. J. M. Wakeling and I. A. Johnston, "Muscle power output limits fast-start performance in fish," J. Exp. Biol. JEBIAM0022-0949 201, 1505 (1998).
22. J. M. Wakeling, "Biomechanics of fast-start swimming in fish," Comp. Biochem. Physiol. CBCPAI0010-406X 131(A), 31 (2001).10.1016/ S1095-6433(01)00461-5
23. R. W. Blake, "Fish functional design and swimming performance," J. Fish Biol. JFIBA90022-1112 65, 1193 (2004).10.1111/ j.0022-1112.2004.00568.x
24. Z. Hou, "Adaptive singular value decomposition in wavelet domain for image denoising," Pattern Recogn. PTNRA80031-3203 36, 1747 (2003).10.1016/S0031-3203(02)00323-0
25. H. Shen and J. Z. Huang, "Analysis of call centre data using singular value decomposition," Appl. Stochastic Models Bus. Ind. 21, 251 (2005).10.1002/asmb.598
26. D. del-Castillo-Negrete, S. P. Hirshman, D. A. Spong, and E. F. D'Azevedo, "Compression of magnetohydrodynamic simulation data using singular value decomposition," J. Comput. Phys. JCTPAH0021-9991 222, 265 (2007).10.1016/j.jcp.2006.07.022
27. L. F. G. Geers, M. J. Tummers, and K. Hanjalic, "Particle image velocimetry-based identification of coherent structures in normally impinging multiple jets," Phys. Fluids PHFLE61070-6631 17, 055105 (2005).10.1063/1.1900804
28. J. Lim and J. Kim, "A singular-value analysis of boundary layer control," Phys. Fluids PHFLE61070-6631 16, 1980 (2004).10.1063/ 1.1710522
29. H. Gunes and U. Rist, "Spatial resolution enhancement/smoothing of stereo-particle-image-velocimetry data using proper-orthogonal-decomposition-based and Kriging interpolation methods," Phys. Fluids PHFLE61070-6631 19, 064101 (2007).10.1063/ 1.2740710
30. R. A. Humble, F. Scarano, and B. W. van Oudheusden, "Unsteady flow organization of compressible planer base flows," Phys. Fluids PHFLE61070-6631 19, 076101 (2007).10.1063/1.2739411
31. X. Zhang, Matrix Analysis and Applications (Tsinghua University Press, Beijing, 2004).
32. J. R. Schott, Matrix Analysis for Statistics (Wiley, Hoboken, 2005).
33. D. P. Berrar, W. Dubitzky, and M. Granzow, A Practical Approach to Microarray Data Analysis (Kluwer Academic, Norwell, 2003).
34. P. W. Webb, "Fast-start performance and body form in seven species of teleost fish," J. Exp. Biol. JEBIAM0022-0949 74, 211 (1978).
35. P. Domenici and R. W. Blake, "The kinematics and performance of the escape response in the angelfish (Pterophyllum eimekei)," J. Exp. Biol. JEBIAM0022-0949 156, 187 (1991).
36. P. W. Webb, "The effect of size on the fast-start performance of rainbow trout, Salmo gairdneri, and a consideration of piscivorous predator-prey interactions," J. Exp. Biol. JEBIAM0022-0949 65, 157 (1976).
37. R. H. Abraham and C. D. Shaw, Dynamics: The Geometry of Behavior (Addison-Wesley, Redwood City, 1992).
38. M. Nakahara, Geometry, Topology and Physics (Institute of Physics Publishing, Bristol, 2003).
39. F. H. Post, B. Vrolijk, H. Hauser, R. S. Laramee, and H. Doleisch, "The state of the art in flow visualization: Feature extraction and tracking," Comput. Graph. Forum ZZZZZZ1067-7055 22, 775 (2003).10.1111/j.1467-8659.2003.00723.x
40. A. J. Smits and T. T. Lim, Flow Visualisation: Techniques and Examples (Imperial College Press, London, 2000).
41. M. S. Chong, A. E. Perry, and B. J. Cantwell, "A general classification of three-dimensional flow fields," Phys. Fluids A PFADEB0899-8213 2, 765 (1990).10.1063/1.857730
42. J. L. Helman and L. Hesselink, "Representation and display of vector field topology in fluid flow data sets," IEEE Comput. Graphics Appl. ICGADZ0272-1716 22, 27 (1989).
43. B. R. Munson, D. F. Young, and T. H. Okiishi, Fundamentals of Fluid Mechanics (Wiley, New York, 1998).
44. G. Scheuermann, B. Hamann, K. I. Joy, and W. Kollmann, "Visualizing local vector field topology," J. Electron. Imaging JEIME51017-9909 9, 356 (2000).10.1117/1.1289350
45. M. Raffel, C. E. Willert, S. T. Wereley, and J. Kompenhans, Particle Image Velocimetry: A Practical Guide (Springer, New York, 2007).
46. D. Rockwell, "Imaging of unsteady separated flows: Global interpretation with particle image velocimetry," Exp. Fluids EXFLDU0723-4864 29, S255 (2000).10.1007/s003480070028
47. P. G. Bakker, Bifurcation in Flow Patterns (Kluwer, Dordrecht, 1991).
48. Y. Chen and A. Y. T. Leung, Bifurcation and Chaos in Engineering (Springer, New York, 1998).
49. S. Vogel, Comparative Biomechanics: Life's Physical World (Princeton University Press, Princeton, 2003).
50. S. Vogel, Life in Moving Fluids: The Physical Biology of Flow, 2nd ed. (Princeton University Press, Princeton, 1994).
51. S. C. Ting and J. T. Yang, "Pitching stabilization via caudal fin-wave propagation in a forward-sinking Parrot Cichlid (Cichlasoma citrinellum×Cichlasoma synspilum)," J. Exp. Biol. JEBIAM0022-0949 211, 3147 (2008).10.1242/jeb.020263
52. A. K. Prasad, "Stereoscopic particle image velocimetry," Exp. Fluids EXFLDU0723-4864 29, 103 (2000).10.1007/s003480000143
53. J. Sakakibara, M. Nakagawa, and M. Yoshida, "Stereo-PIV study of flow around a maneuvering fish," Exp. Fluids EXFLDU0723-4864 36, 282 (2004).10.1007/s00348-003-0720-z