Detrended structure-function in fully developed turbulence
@article{Huang2013DetrendedSI, title={Detrended structure-function in fully developed turbulence}, author={Yongxiang Huang}, journal={Journal of Turbulence}, year={2013}, volume={15}, pages={209 - 220} }
The classical structure-function (SF) method in fully developed turbulence or for scaling processes in general is influenced by large-scale energetic structures, known as the infrared effect. Therefore, the extracted scaling exponents ζ(n) might be biased due to this effect. In this paper, a detrended structure-function (DSF) method is proposed to extract scaling exponents by constraining the influence of large-scale structures. This is accomplished by removing a first-order polynomial fitting…
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References
SHOWING 1-10 OF 34 REFERENCES
Second-order structure function in fully developed turbulence.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010
An analysis of passive scalar (temperature) turbulence time series is presented to show the influence of large-scale structures in real turbulence and the efficiency of the Hilbert-based methodology, and corresponding scaling exponents ζ(θ)(q) provided by the Hilbert -based approach indicate that the Passive scalar turbulence field may be less intermittent than what was previously believed.
Arbitrary-order Hilbert spectral analysis for time series possessing scaling statistics: comparison study with detrended fluctuation analysis and wavelet leaders.
- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011
An extended version of Hilbert-Huang transform, namely arbitrary-order Hilbert spectral analysis, is presented to characterize the scale-invariant properties of a time series directly in an amplitude-frequency space and it seems that Hilbert and DFA methods provide better singularity spectra than SF and WL.
Multifractal formalism for fractal signals: The structure-function approach versus the wavelet-transform modulus-maxima method.
- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1993
It is demonstrated that the method, based on the wavelet-transform modulus-maxima representation, works in most situations and is likely to be the ground of a unified multifractal description of self-affine distributions.
An amplitude-frequency study of turbulent scaling intermittency using Empirical Mode Decomposition and Hilbert Spectral Analysis
- Physics
- 2008
Hilbert-Huang transform is a method that has been introduced recently to decompose nonlinear, nonstationary time series into a sum of different modes, each one having a characteristic frequency. Here…
Signatures of non-universal large scales in conditional structure functions from various turbulent flows
- Engineering, Physics
- 2011
We present a systematic comparison of conditional structure functions in nine turbulent flows. The flows studied include forced isotropic turbulence simulated on a periodic domain, passive grid wind…
Lagrangian single-particle turbulent statistics through the Hilbert-Huang transform.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013
It is shown that high-order moment scaling exponents of the Lagrangian structure function exponents have enhanced scaling properties as compared to traditional Fourier transform- or correlation-based (structure functions) statistical indicators, thus providing better insights into the turbulent energy transfer process.
Identifying turbulent energy distributions in real, rather than fourier, space.
- PhysicsPhysical review letters
- 2005
This Letter determines the form of the signature function, which plays the role of an energy density, somewhat analogous to E(k), and finds that dissipation-range phenomena, such as the so-called bottleneck effect, are evident in the Signature function, while absent in the structure function.
Haar wavelets, fluctuations and structure functions: convenient choices for geophysics
- Geology
- 2012
Abstract. Geophysical processes are typically variable over huge ranges of space-time scales. This has lead to the development of many techniques for decomposing series and fields into fluctuations…
Scaling of maximum probability density functions of velocity and temperature increments in turbulent systems
- Physics
- 2011
In this paper, we introduce a new way to estimate the scaling parameter of a self-similar process by considering the maximum probability density function (pdf) of tis increments. We prove this for…