Generalizing the wavelet-based multifractal formalism to vector-valued random fields: application to turbulent velocity and vorticity 3D numerical data
arXiv:cond-mat/0403472 · doi:10.1103/PhysRevLett.93.044501
Abstract
We use singular value decomposition techniques to generalize the wavelet transform modulus maxima method to the multifractal analysis of vector-valued random fields. The method is calibrated on synthetic multifractal 2D vector measures and monofractal 3D fractional Brownian vector fields. We report the results of some application to the velocity and vorticity fields issued from 3D isotropic turbulence simulations. This study reveals the existence of an intimate relationship between the singularity spectra of these two vector fields which are found significantly more intermittent than previously estimated from longitudinal and transverse velocity increment statistics.
arXiv comment5 pages, 4 figures, submitted to PRL
References in corpus (2)
Cited by in corpus (12)
- Detrending moving average algorithm for multifractals
- Detrended fluctuation analysis for fractals and multifractals in higher dimensions
- Cascades and Dissipative Anomalies in Compressible Fluid Turbulence
- Intermittency of velocity time increments in turbulence
- The Breakdown of Alfven's Theorem in Ideal Plasma Flows
- Characterising Complexity in Solar Magnetogram Data using a Wavelet-based Segmentation Method
- Direct determination approach for the multifractal detrending moving average analysis
- New criteria to detect singularities in experimental incompressible flows
- The Cascade of Circulations in Fluid Turbulence
- Review of the Onsager "Ideal Turbulence" Theory
- Statistics of Fourier Modes of Velocity and Vorticity in Turbulent Flows : Intermittency and Long-Range Correlations
- Weak formulation and scaling properties of energy fluxes in 3D numerical turbulent Rayleigh-Bénard convection