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Direct-numerical-simulation-based Measurement of the Mean Impulse Response of Homogeneous Isotropic Turbulence

机译:基于直接数值模拟的均质各向同性湍流平均冲激响应的测量

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摘要

A technique for measuring the mean impulse response function of stationary homogeneous isotropic turbulence is proposed. Such a measurement is carried out here on the basis of direct numerical simulation (DNS). A zero-mean white-noise volume forcing is used to probe the turbulent flow, and the response function is obtained by accumulating the space-time correlation between the white forcing and the velocity field. This technique to measure the turbulent response in a DNS numerical experiment is a research tool in that field of spectral closures where the linear-response concept is invoked either by resorting to renormalized perturbations theories or by introducing the well-known fluctuation-dissipation relation (FDR). Although the results obtained in the present work are limited to relatively low values of the Reynolds number, a preliminary analysis is possible. Both the characteristic form and the time scaling properties of the response function are investigated in the universal subrange of dissipative wave numbers; a comparison with the response approximation given by the FDR is proposed through the independent DNS measurement of the correlation function. Very good agreement is found between the measured response and Kraichnan's description of random energy-range advection effects.
机译:提出了一种测量平稳均质各向同性湍流平均冲激响应函数的技术。这种测量是在此处基于直接数值模拟(DNS)进行的。零均值白噪声体积强迫用于探测湍流,并且通过累积白强迫与速度场之间的时空相关性获得响应函数。这种在DNS数值实验中测量湍流响应的技术是频谱封闭领域中的一种研究工具,在该领域中,通过采用重新归一化的扰动理论或通过引入众所周知的波动耗散关系(FDR)来调用线性响应概念。 )。尽管在当前工作中获得的结果仅限于雷诺数相对较低的值,但初步分析是可能的。在耗散波数的通用子范围内研究了响应函数的特征形式和时标性质。通过对相关函数进行独立的DNS测量,提出了与FDR给出的响应近似值的比较。在实测响应与Kraichnan对随机能级平流效应的描述之间找到了很好的一致性。

著录项

  • 作者

    M. Carini; M. Quadrio;

  • 作者单位
  • 年度 2010
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  • 原文格式 PDF
  • 正文语种 eng
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