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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Verification of the scaling relation within MPDFT by analyzing PDFs for energy dissipation rates out of 40963 DNS
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Verification of the scaling relation within MPDFT by analyzing PDFs for energy dissipation rates out of 40963 DNS

机译：通过分析40963 DNS中的能量耗散率PDF来验证MPDFT中的比例关系

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摘要

The PDFs for energy dissipation rates, extracted by Kaneda and Ishihara from their 40963 DNS for fully developed turbulence, are analyzed within the framework of multifractal probability density function theory (MPDFT) to a high accuracy. MPDFT is a statistical mechanical ensemble theory for analyzing intermittent phenomena providing fat-tail probability density functions (PDFs). Recently, MPDFT has been improved by introducing a new scaling relation so as to be able to analyze intermittency through any series of PDFs with arbitrary magnification [delta] (>1). It was fixed to a unique value [delta]=2. Since the value of [delta] can be determined freely by observers, the choice of [delta] should not affect observables. The validity of the generalized MPDFT is verified successfully through the precise analyses of several series of PDFs with different values of [delta]. In the course of the verification, it is revealed that the system of fully developed turbulence has much wider area representing scaling behaviors than the inertial range. With the help of MPDFT, it has become possible to separate the coherent turbulent motion from fluctuations. This may benefit the wavelet analysis of turbulence.
机译：由Kaneda和Ishihara从其40963 DNS中提取的，用于充分发展的湍流的能量耗散率PDF在多重分形概率密度函数理论（MPDFT）的框架内进行了高精度分析。 MPDFT是一种统计机械集成理论，用于分析提供胖尾概率密度函数（PDF）的间歇现象。最近，通过引入新的比例关系对MPDFT进行了改进，以便能够通过任意放大倍数（> 1）的任意系列的PDF分析间歇性。将其固定为唯一值δ＝ 2。由于观察者可以自由地确定δ的值，所以δ的选择不应影响可观察的物体。通过对多个具有不同δ值的PDF系列的精确分析，成功地验证了广义MPDFT的有效性。在验证过程中，发现充分发展的湍流系统比惯性范围具有更大的代表比例行为的区域。借助MPDFT，将连贯的湍流运动与波动分离成为可能。这可能有利于湍流的小波分析。

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