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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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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