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Rank-Ordered Multifractal Analysis (ROMA) of probability distributions in fluid turbulence

机译:流体湍流中概率分布的秩序多重分形分析(ROMA)

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摘要

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.
机译:Chang和Wu(2008)引入了秩序多重分形分析(ROMA)来描述间歇事件的多重分形特征。该过程在排序谱与单分形的一参数缩放的思想之间提供了自然的联系。该技术已成功地应用于MHD湍流模拟和在各种空间等离子体中观测到的湍流数据。本文将这种技术应用于湍流的惯性范围内的概率分布,如约翰·霍普金斯大学(JHU)庞大的湍流数据库中给出的那样。此外,还介绍了一种同时查找连续ROMA谱和缩放概率分布函数(PDF)的新方法。

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