Abstract
The multifractal nature of isotropic turbulence is numerically investigated. A decaying isotropic turbulence, realized on a 1283 computergrid by the spectral method, fully develops after a proper time, revealing the Kolmogorov energy spectrum in a certain inertial range of wavenumber. At this state of turbulence, the generalized dimensions D q with respect to dissipation measure in space and the corresponding intermittency exponents µ q are calculated for −30 ≤q≤30, based on the 3D dissipation field. Through a contact transformation of the continuous D q , such an f − a spectrum is obtained that is well known in the theory of chaos. Our result shows a multifractal distribution in space of the scaling index a, comparable with, but somewhat distinct from, the recent experiment and model of Meneveau and Sreenivasan. A similar investigation of a passive scalar field is added.
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References
Andrews, L. C., Phillips, R. L., Shivamoggi, B. K., Beck, J. K. and Joshi, M. L. 1989 Phys. Fluids Al 999.
Anselmet, F., Gagne, Y., Hopfinger, E. J. and Antonia, R.A. 1984 J. Fluid Mech. 140, 63.
Antonia, R. A., Satyapralcash, B. R. and Hussain, A. K. M. 1982 J. Fluid Mech. 119, 55.
Bacry, E.,Frisch, U., Gagne, Y. and Hopfinger, E. 1989 Spoken at Turbulence 89; Abstracts, p. 145.
Benzi, R., Paradin, G., Parisi, G and Vulpiani, A. 1984 J. Phys. A17, 3521.
Frisch, U. 1985 In Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics (ed. M. Ghil), p. 71. North-Holland.
Frisch, U and Parisi, G. 1985 ibid,p. 84.
Frisch, U., Sulem, P. L. and Nelkin, M. 1978 J. Fluid Mech. 87, 719.
Halsey, T. C., Jensen, M. H., Kadanoff, L. P., Procaccia, I. and Shraiman, B. I. 1986 Phys. Rev. A33, 1141.
Hentschel, H. G. E. and Procaccia, I. 1983 Physica 8D, 435.
Hosokawa, I. 1989 Phys. Fluids Al,186.
Hosokawa, I. andYamamoto, K. 1989 J. Phys. Soc. Japan 58 20.
Hosokawa, I. and Yamamoto, K. 1990 J. Phys. Soc. Japan 59, 401.
Jensen, M. H. 1987 In International Conference on the Physics of Chaos and System far from Equilibrium (ed. M. Duang-Van), p. 487. North-Holland.
Jensen, M. H., Kadanoff, L. P. andLibchaber, A. 1985 Phys. Rev. Lett. 55, 2798.
Mandelbrot, B. 1977 Fractals: Form, Chance and Dimension. W. H. Freeman.
Meneveau, C. and Sreenivasan, K. R. 1987a Nucl. Phys. B(Proc. Suppl.) 2, 49.
Meneveau, C. and Sreenivasan, K. R. 1987b Phys. Rev. Lett. 59, 1424.
Monin, A. S. and Yaglom, A. M. 1975 Statistical Fluid Mechanics,Vol. 2., Chap. 8. MIT Press.
Nakano, T. and Nelkin, M. 1985 Phys. Rev. A31, 1980
Novikov, E. A. 1971 Appl. Math. Mech. 35, 231.
Orszag, S. A. and Patterson, Jr., G. S. 1972 Phys. Rev. Lett. 28, 76.
Prasad, R. P., Meneveau, C. and Sreenivasan, K. R. 1988 Phys. Rev. Lett. 61, 74.
Vincent, A. and Menegucci, M. 1989 Spoken at Turbulence 89; Abstractsp. 231.
Yamamoto, K. and Hosokawa, I. 1988 J. Phys. Soc. Japan 57, 1532.
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Hosokawa, I., Yamamoto, K. (1991). Intermittent structure of dissipation in isotropic turbulence viewed from a direct simulation. 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_11
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DOI: https://doi.org/10.1007/978-94-015-7904-9_11
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