Turbulence型号generator

摘要：

在本文中，我们探讨了一种可能性，所有的传输湍流模型包含在一个粗粒度的动力学方程。基于H.Chen等人（2004）的最新工作，我们通过引入"两级“（${\bf c,v}$）相空间，分离微观（${\bf c'\equiv c_{micro}= c-v}$）和流体动力学（${\bf v'=v-V}$）模式，解释了湍流中单点概率密度的波动。与传统的动力学理论不同，流体动力学近似是根据与热力学平衡的微小偏差导出的，在这项工作中开发的理论是基于远离平衡的各向同性和均匀湍流作为未扰动状态。无量纲应变率的扩展导致了一类新的湍流模型，包括著名的${\cal K}-{\cal E}$，雷诺应力和所有可能的非线性模型。在物理空间中的通量与跨尺度的能通量的相互作用的作用，不存在于标准建模中，表现在湍流槽道流的例子。为了封闭系统，既不需要湍流动能方程，也不需要包含在导出的粗粒度动力学方程中的关于压力-速度相关性的信息。

英文摘要：

In this paper we explore a possibility that all transport turbulent models are contained in a coarse-grained kinetic equation. Building on a recent work by H.Chen et al (2004), we account for fluctuations of a single -point probability density in turbulence, by introducing a``two-level'' (${\bf c,v}$)-phase-space, separating microscopic (${\bf c'\equiv c_{micro}= c-v}$) and hydrodynamic (${\bf v'=v-V}$) modes. Unlike traditional kinetic theories, with hydrodynamic approximations derived in terms of small deviations from thermodynamic equilibrium, the theory developed in this work, is based on a far- from -equilibrium isotropic and homogeneous turbulence as an unperturbed state. The expansion in dimensionless rate of strain leads to a new class of turbulent models, including the well-known ${\cal K}-{\cal E}$, Reynolds stress and all possible nonlinear models. The role of interaction of the fluxes in physical space with the energy flux across the scales, not present in standard modeling, is demonstrated on example of turbulent channel flow. To close the system, neither equation for turbulent kinetic energy nor information on pressure-velocity correlations, contained in the derived coarse-grained kinetic equation, are needed.

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