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首页> 外文期刊>Journal of Computational Physics >Turbulent channel flow simulations in convecting reference frames
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Turbulent channel flow simulations in convecting reference frames

机译：对流参考框架中的湍流流动模拟

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We perform finite-difference numerical simulations of turbulent channel flow in stationary and moving reference frames. The flow statistics computed in the stationary frame exhibit significant discrepancies with respect to reference spectral data in terms of energy spectra and convection velocity of disturbances, especially in the near-wall region. On the other hand, simulations performed in a reference frame moving with the bulk flow velocity suffer from this shortcoming to a much lesser extent. We propose an explanation of these observations by assuming the scalar Burgers' equation as working model. The analysis highlights the lack of Galilean invariance of finite-difference schemes, which exhibit a leading dispersive error in the presence of bulk advection. The numerically computed energy spectra exhibit the same features as the channel spectra, supporting the notion that dispersive effects are responsible for the blockage of the mechanism of energy cascade to high wavenumbers.
机译：我们对固定和移动参考系中的湍流通道流动进行有限差分数值模拟。就能量谱和扰动的对流速度而言，在固定框架中计算出的流量统计数据与参考谱数据之间存在显着差异，尤其是在近壁区域。另一方面，在以整体流速移动的参考系中执行的仿真受此缺点的影响要小得多。我们通过假设标量Burgers方程为工作模型来提出对这些观察的解释。分析强调了有限差分方案的伽利略不变性的缺乏，该有限差分方案在存在体对流的情况下表现出领先的色散误差。数值计算的能谱表现出与通道谱相同的特征，支持以下观点：色散效应是将能量级联机制阻断为高波数的原因。

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