Abstract
The generalized dimensions Dqdefined in the multifractal description of turbulence are related to the Navier-Stokes equations, and equations are presented for Dqand its evolution. In order to reach this result, the equations for incompressible flows are wavelet-transformed. When the analyzing wavelets belong in the Gaussian family, the pressure and momentum equations are transformed into first-order wave equations, for which the characteristics are obtained explicitly. Formal integration is carried out. As in Meneveau (1991), fractal statistics are then constructed from the local energy spectrum.
Original language | English (US) |
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Pages (from-to) | 109-113 |
Number of pages | 5 |
Journal | Applied Scientific Research |
Volume | 51 |
Issue number | 1-2 |
DOIs | |
State | Published - Jun 1993 |
Keywords
- Navier-Stokes
- multifractals
- wavelets
ASJC Scopus subject areas
- General Engineering