Abstract
Wavelet analysis can be used to measure directly the scaling exponents characterizing the local multifractal behaviour of the velocity field at inertial-range scales, without recourse to dissipation-type quantities. Preliminary results using data from the Modane S1 wind tunnel indicate that the most frequent exponents are close to the Kolmogorov 1941 value of 1/3. Violent rare events are however found with negative exponents of −0.1 or less.
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References
Anselmet, F., Gagne, Y., Hopfinger, E.J. Antonia, R.A. 1984 J. Fluid. Mech., 140, 63–89.
Argoul, F., Arnéodo, A., Grasseau, G., Gagne, Y., Hopfinger, E.J. Frisch, U. 1989 Nature, 338,no 6210, 51–53.
Arnéodo, A;, Argoul, F., Elezgaray, J. Grasseau, G. 1989 in Nonlinear Dynamics (ed. G. Turchetti), p. 130. World Scientific, Singapore.
Arnéodo, A., Grasseau, G. Holschneider, M. 1988 Phys. Rev. Lett., 61, 2287–2289.
Castaing, B., Gagne, Y. Hopfinger, E.J. 1990, preprint.
Everson, R. Sirovich, L. 1989, Report 89–182, Center for Fluid Mechanics, Brown University.
Everson, R., Sirovich, L.Sreenivasan, K.R. 1989, to appear in Phys.Lett. A.
Frisch, U., Sulem, P.L. Nelkin, M. 1978 J. Fluid. Mech., 87, 719–736.
Gagne, Y. 1987, Thèse. Université de Grenoble.
Gagne, Y., Hopfinger, E.J. Frisch, U. 1988 in New Trends in Non Linear Dynamics and Pattern Forming Phenomena: The Geometry of Non Equilibrium (ed. P. Huerre and P. Coullet ). Plenum Press.
Grasseau, G. 1989, Thèse. Université de Bordeaux.
Grossman, A. Morlet, J. 1987 Mathematics and Physics, Lecture on Recent Results (ed. L. Streit) World Scientific, Singapore.
Halsey, T.C., Jensen, M.H., Kadanoff, L.P., Procaccia, I. Shraiman, B.I. 1986 Phys. Rev., A33, 1141–1151.
Holschneider, M., 1988 J. Stat. Phys., 50, 963. Kolmogorov, A.N. 1962 J. Fluid. Mech., 13, 82–85.
Kolmogorov, A.N. 1962 J. Fluid. Mech., 13, 82–85.
Kraichnan, R.H. 1988 Private Communication.
Kuo, A.Y-S., Corrsin, S. 1972 J. Fluid. Mech., 56, 447–479.
Mallat, S. 1989 presented at the 3rd Conference on Wavelets Marseille, May-June 1989.
Mandelbrot, B.B. 1965 C. R. Acad. Sci. Paris, 260, 32–74 Mandelbrot, B.B. 1974 J. Fluid. Mech., 62, 331–358.
Mandelbrot, B.B. 1974 J. Fluid. Mech., 62, 331–358.
Mandelbrot, B.B. 1989a in STATPHYS17 (Proceedings of the Rio de Janeiro meeting, 1989), ed. C. Tsallis, North-Holland (Special volume of Physica A and Book).
Mandelbrot, B.B. 1989b in Frontiers of Physics: Landau memorial conference (ed. E. Gotsman) Pergamon Press, New-York.
Meneguzzi, M.Vincent, A. 1989 submitted to J. Fluid. Mech
Meneveau, C.Sreenivasan, K.R. 1987 Nuclear physics B.2 (Suppl.), 49–67. North-Holland
Parisi, G.Frisch, U. 1984 Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics (ed. M. Ghil, R. Benzi and G. Parisi), p.84. North-Holland.
She, Z.S., Jackson, E. Orszag, S.A. 1989, submitted to Nature. Siggia, E. 1981 J. Fluid. Mech.. 107,375–406.
Smith, L.A., Fournier, J.D. Spiegel, E.A. 1986 Phys. Lett., A114, 465–473.
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Bacry, E., Arneodo, A., Frisch, U., Gagne, Y., Hopfinger, E. (1991). Wavelet analysis of fully developed turbulence data and measurement of scaling exponents. In: Metais, O., Lesieur, M. (eds) Turbulence and Coherent Structures. Fluid Mechanics and Its Applications, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7904-9_13
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DOI: https://doi.org/10.1007/978-94-015-7904-9_13
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