论文标题
圆柱流的扩展平均流量分析
Extended mean flow analysis of the circular cylinder flow
论文作者
论文摘要
开发了新的特征值分析，并应用于圆形圆柱层流配置，以研究扰动的非线性饱和度中的各种机制，从而限制了雷诺数的超临界值的周期。与平均流量分析不同，该分析仅解释了时间周期流与平均流量的第一谐波的相互作用，所谓的扩展平均流量分析还解释了其与第二谐波的相互作用。结果揭示了两个特征值的存在，都具有完全等于零的增长率。与通过平均流量分析获得的边际模式相比，高频本本特征对第一谐波的频率和空间结构提供了更好的估计，尤其是当雷诺数增加时。
A new eigenvalue analysis is developed and applied to the circular cylinder laminar flow configuration to investigate the various mechanisms at play in the nonlinear saturation of perturbations yielding to limit cycles for supercritical values of the Reynolds number. Unlike the mean-flow analysis, which only accounts for the interaction of the first-harmonic of the time-periodic flow with its mean-flow, the so-called extended mean-flow analysis also accounts for its interaction with the second-harmonic. The results reveal the existence of two eigenvalues both having a growth rate exactly equal to zero. The high-frequency eigenmode gives better estimations of the frequency and spatial structure of the first-harmonic than the marginal modes obtained with the mean-flow analysis, especially when the Reynolds number is increased.
