Turbulence analysis, modelling and computing using wavelets

Farge, Marie; Kevlahan, Nicholas; Perrier, Valérie; Schneider, Kai

doi:10.1017/cbo9780511613265.007

Cited by 31 publications

(22 citation statements)

References 128 publications

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“…It describes the entropy of the system, and is called the entropy or information dimension. Similarly, (q) can be analogized to the Free Energy of the system, (q, ) to the partition function, and q -1 to the temperature (Stanley and Meakin 1988;Arnéodo et al 1995;Bershadskii 1998;Farge et al 2004). D(2) is the correlation dimension, and gives the probability of fi nding pixels on an object within a given distance if you start at a pixel on the object.…”

Section: Monofractals and Multifractalsmentioning

confidence: 99%

Characterization and Analysis of Porosity and Pore Structures

Anovitz

Cole

2015

Reviews in Mineralogy and Geochemistry

799

480

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Section: Monofractals and Multifractalsmentioning

confidence: 99%

Characterization and Analysis of Porosity and Pore Structures

Anovitz

Cole

2015

Reviews in Mineralogy and Geochemistry

799

480

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“…The wavelet analysis technique is extensively used in the study of fluid turbulence and irregular media Farge et al (1999).…”

Section: Appendix a Choosing The Wavelet Analysis Parametersmentioning

confidence: 99%

Determining the verse of magnetic turbulent cascades in the Earth's magnetospheric cusp via transfer entropy analysis: preliminary results

Materassi

Wernik

Yordanova

2007

Nonlin. Processes Geophys.

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Abstract. The inter-scale coupling in the dynamics of the magnetic field in the Earth's magnetospheric cusp is studied with the technique of transfer entropy. This is a non-linear data analysis technique conceived to determine which is the process that plays the role of the "dynamical driver" between two processes interacting.The time series of the magnetic field components measured along the trajectory of a spacecraft through the cusp are decomposed via continuous wavelets, so a time series of the square modulus of the wavelet coefficients may be associated to each scale considered. The coupling between to two nearby scales is studied, with the purpose of singling out turbulent cascade directions from large to small scales and viceversa.Preliminary physical conclusions are proposed.

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“…This method is expected to be able to capture different patterns and not only to cutoff small eddies or high frequencies, but its use is far different from the purposes of this paper. For a recent review regarding wavelets methods in turbulence, see Farge et al 13 …”

Section: The Rational Les Modelmentioning

confidence: 99%

Mathematical Analysis for the Rational Large Eddy Simulation Model

Berselli

Galdi

Iliescu

et al. 2002

Math. Models Methods Appl. Sci.

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In this paper we consider the Rational Large Eddy Simulation model recently introduced by Galdi and Layton. We briefly present this model, which (in principle) is similar to others commonly used, and we prove the existence and uniqueness of a class of strong solutions. Contrary to the gradient model, the main feature of this model is that it allows a better control of the kinetic energy. Consequently, to prove existence of strong solutions, we do not need subgrid-scale regularization operators, as proposed by Smagorinsky. We also introduce some breakdown criteria that are related to the Euler and Navier-Stokes equations.

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Turbulence analysis, modelling and computing using wavelets

Abstract: We have used wavelets and wavelet packets to analyse, model and compute turbulent flows. The theory and open questions encountered in turbulence are presented. The wavelet-based techniques that we have developed to study turbulence are explained and the main results are summarized.

Cited by 31 publications

References 128 publications

Characterization and Analysis of Porosity and Pore Structures

Characterization and Analysis of Porosity and Pore Structures

Determining the verse of magnetic turbulent cascades in the Earth's magnetospheric cusp via transfer entropy analysis: preliminary results

Mathematical Analysis for the Rational Large Eddy Simulation Model

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