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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union

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Nonlin. Processes Geophys., 18, 261-268, 2011
© Author(s) 2011. This work is distributed under
the Creative Commons Attribution 3.0 License.
Research article
13 Apr 2011
Rank-Ordered Multifractal Analysis (ROMA) of probability distributions in fluid turbulence
C. C. Wu1 and T. Chang2 1Institute of Geophysics and Planetary Physics, University of California at Los Angeles, Los Angeles, CA 90095, USA
2Kavli Institute for Astrophysics and Space research, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Abstract. Rank-Ordered Multifractal Analysis (ROMA) was introduced by Chang and Wu (2008) to describe the multifractal characteristic of intermittent events. The procedure provides a natural connection between the rank-ordered spectrum and the idea of one-parameter scaling for monofractals. This technique has successfully been applied to MHD turbulence simulations and turbulence data observed in various space plasmas. In this paper, the technique is applied to the probability distributions in the inertial range of the turbulent fluid flow, as given in the vast Johns Hopkins University (JHU) turbulence database. In addition, a new way of finding the continuous ROMA spectrum and the scaled probability distribution function (PDF) simultaneously is introduced.

Citation: Wu, C. C. and Chang, T.: Rank-Ordered Multifractal Analysis (ROMA) of probability distributions in fluid turbulence, Nonlin. Processes Geophys., 18, 261-268,, 2011.
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