The Library

Gravity wave turbulence in a laboratory flume

Tools

Denissenko, Petr, Lukaschuk, Sergei and Nazarenko, Sergey. (2007) Gravity wave turbulence in a laboratory flume. Physical Review Letters, Vol.99 (No.01). p. 4501. ISSN 0031-9007

PDF
WRAP_Nazarenko_Gravity.pdf - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (416Kb)

Official URL: http://dx.doi.org/10.1103/PhysRevLett.99.014501

Abstract

We present an experimental study of the statistics of surface gravity wave turbulence in a flume of a horizontal size 12×6 m. For a wide range of amplitudes the wave energy spectrum was found to scale as Eω∼ω-ν in a frequency range of up to one decade. However, ν appears to be nonuniversal: it depends on the wave intensity and ranges from about 6 to 4. We discuss our results in the context of existing theories and argue that at low wave amplitudes the wave statistics is affected by the flume finite size, and at high amplitudes the wave breaking effect dominates.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Gravity waves -- Research, Waves -- Research, Turbulence -- Research, Fluid dynamics -- Research
Journal or Publication Title:	Physical Review Letters
Publisher:	American Physical Society
ISSN:	0031-9007
Date:	6 July 2007
Volume:	Vol.99
Number:	No.01
Page Range:	p. 4501
Identification Number:	10.1103/PhysRevLett.99.014501
Status:	Peer Reviewed
Access rights to Published version:	Open Access
References:	[1] V.E. Zakharov, V.S. L’vov and G.Falkovich, ”Kolmogorov Spectra of Turbulence”, Springer-Verlag, 1992; [2] K. Hasselmann, J. Fluid Mech. 12, 481 (1962); [3] V.E.Zakharov and N.N. Filonenko, J. Appl. Mech. Tech. Phys. 4 , 506-515 (1967); [4] O.M. Phillips, The equilibrium range in the spectrum of wind generated waves. J. Fluid Mech. 4, 426-434, 1958; [5] W. J. Pierson and L. Moskowitz, A proposed spectral form for fully developed wind seas based on the similarity theory of S. A. Kitaigorodskii. J. Geophys. Res., 69, No. 24, 5181-5190 (1964); [6] C. Elachi, Physics and Techniques of remote sensing, John Wiley & Sons Pu., New York, USA, 1987. [7] S.V. Nazarenko, Sandpile behaviour in discrete water-wave turbulence, J. Stat. Mech. L02002 (2006) doi:10.1088/1742-5468/2006/02/L02002 (arXiv:nlin.CD/0510054). [8] Y. Choi, Y. Lvov, S.Nazarenko and B.Pokorni, Anomalous probability of large amplitudes in wave turbulence, Physics Letters A, 339, Issue 3-5, 361-369 (2005); (arXiv:math-ph/0404022 v1 Apr 2004). [9] V. E. Zakharov, A. O. Korotkevich, A. N. Pushkarev and A. I. Dyachenko, Mesoscopic wave turbulence, JETP Letters, 82, Number 8, October, 487 (2005); [10] Y. Lvov, S.Nazarenko and B.Pokorni, Discreteness and its effect on water-wave turbulence , Physica D , 218, Issue 1, 24-35 (2006); (arXiv: math-ph/0507054 v1 July 2005). [11] E.A. Kuznetsov, Turbulence spectra generated by singularities, JETP Letters, 80, 83- 89, (2004); [12] C.Connaughton, S.Nazarenko, A.C.Newell, Dimensional analysis and weak turbulence, Physica D, 184, 86-97 (2003); [13] E.A. Kartashova, On properties of weakly nonlinear wave interactions in resonators, Physica D 54, 125 (1991). [14] E.Kartashova, Wave resonances in systems with discrete spectra, AMS Transl. (2) 182 (1998); [15] M.A.Tayfun, Narrow-band nonlinear sea waves. J. Geophys. Res. 85, 1548-1552, (1980); [16] Socquet-Juglard, K.B. Dysthe, K. Trulsen, H.E. Krogstad, and J. Liu, Probability distributions of surface gravity waves during spectral changes. J. Fluid Mech. 542 195-216 (2005); [17] Onorato, M., Osborne, A.R., Serio, Cavaleri, L., Bran- dini, C., and Stansberg, C.T., Observation of strongly non-Gaussian statistics for random sea surface gravity waves in wave flume experiments Phys. Rev E 70 (6): Art. No. 067302 (2004); [18] M.Onorato, A.R. Osborne, M.Serio, On Deviatons from Gaussian Statistics for Surface Gravity Waves. arXiv:nlin.CD/0503071, v1 (2005)
URI:	http://wrap.warwick.ac.uk/id/eprint/2609