确定非平衡流中边界层厚度的一般方法
General method for determining the boundary layer thickness in nonequilibrium flows
摘要：
虽然对于正则平衡流，边界层厚度的计算是直接的，但是对于一般的非平衡流，还没有确定的定义。在这项工作中，开发的方法的基础上的局部重建的“无粘”的速度分布$U_I[y]$从应用程序的伯努利方程在壁法线方向。边界层厚度$δ_{99}$被定义为$U/U_I = 0.99$的位置，这与零压力梯度边界层（ZPGBLs）的经典定义是一致的。所提出的局部重建方法是无参数的，可以部署为内部和外部流，而不诉诸于迭代过程，数值积分，或数值微分。局部重建方法优于现有的各种方法的性能被证明，通过应用的方法，层流和湍流边界层和翼型上的两个流动。数值实验表明，局部重构方法比现有方法具有更高的精度和更强的鲁棒性，适用于大范围的雷诺数流动。
英文摘要：
While the computation of the boundary-layer thickness is straightforward for canonical equilibrium flows, there are no established definitions for general non-equilibrium flows. In this work, a method is developed based on a local reconstruction of the "inviscid" velocity profile $U_I[y]$ resulting from the application of the Bernoulli equation in the wall-normal direction. The boundary-layer thickness $δ_{99}$ is then defined as the location where $U/U_I = 0.99$, which is consistent with its classical definition for the zero-pressure-gradient boundary layers (ZPGBLs). The proposed local-reconstruction method is parameter free and can be deployed for both internal and external flows without resorting to an iterative procedure, numerical integration, or numerical differentiation. The superior performance of the local-reconstruction method over various existing methods is demonstrated by applying the methods to laminar and turbulent boundary layers and two flows over airfoils. Numerical experiments reveal that the local-reconstruction method is more accurate and more robust than existing methods, and it is applicable for flows over a wide range of Reynolds numbers.
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