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首页> 外文会议>ERCOFTAC International Symposium on Engineering Turbulence Modelling and Measurements(ETMM6); 20050523-25; Sardinia(IT) >k-ε MODELING OF TURBULENCE IN POROUS MEDIA BASED ON A TWO-SCALE ANALYSIS
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k-ε MODELING OF TURBULENCE IN POROUS MEDIA BASED ON A TWO-SCALE ANALYSIS

机译：基于两尺度分析的多孔介质湍流k-ε建模

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摘要

In this paper, turbulent flows in porous media are considered. Following previous studies, we apply both statistical and spatial averages. The solid matrix action on turbulence is then put forward as a sub-filter production. To modelize this term, we perform a two-scale analysis that highlights energy transfers between the mean motion, the macroscopic and the sub-filter turbulent kinetic energies. Within this framework, we show that the sub-filter production is an energy transfer between the mean motion kinetic energy and the turbulent kinetic energy. We propose to modelize this sub-filter production using the wake dissipation and the work performed by the mean macroscopic flow against the mean specific drag. We also show that the work performed by the macroscopic fluctuating motion against the fluctuating drag is a supplementary energy transfer from macroscopic turbulence to sub-filter turbulence. It is added to the classical turbulent cascade. From this analysis, a macroscopic k — ? model is then derived for a stratified porous media. A comparison between this model and fine scale simulations is carried out.
机译：本文考虑了多孔介质中的湍流。根据先前的研究，我们同时应用统计平均值和空间平均值。然后提出了固体基体对湍流的作用作为副过滤器的产生。为了对此项建模，我们执行了两尺度分析，突出了平均运动，宏观运动和子过滤器湍动能之间的能量转移。在此框架内，我们表明副过滤器的产生是平均运动动能和湍动能之间的能量转移。我们建议使用尾流耗散和平均宏观流相对于平均比阻力的功来对该子过滤器生产进行建模。我们还表明，由宏观波动运动对波动阻力进行的功是从宏观湍流到子过滤器湍流的补充能量转移。它被添加到经典的湍流叶栅中。根据这一分析，可以得出一个宏观的k？然后导出分层多孔介质的模型。对该模型与精细模拟进行了比较。

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