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Dynamic behaviors of the turbulent cavitating flows based on the Eulerian and Lagrangian viewpoints

机译：基于欧拉和拉格朗日观点的湍流空化流动力学行为

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In order to investigate the structures of the cavitating flow, a volume fraction transport equation with a hybrid turbulence model has been used to simulate the dynamics of the cavitation phenomenon over a two-dimensional ClarkY hydrofoil (AoA = 8°, σ = 0.8, and Re = 7·10~5). From the Eulerian viewpoint, the interactions of pressure, vortex structure, and volume fraction have been evaluated, and the results have been validated carefully with the experimental observations. Four different flow stages can be categorized accordingly based on the development of the attached cavity, trailing edge cavities, and re-entrant jet. Furthermore, the Finite-Time Lyapunov Exponent (FTLE) and the corresponding Lagrangian Coherent Structures (LCSs) have been used to separate dynamically distinct regions. Above the upper surface, the liquid flow captured by LCS A could travel along the cavity interface to the trailing edge. Similarly, the LCS C captures the liquid flow below the lower surface that can be attracted into the upper surface. From the corresponding particle tracking, these two flows meet near the trailing edge and mix together to form the re-entrant jet, which can be represented by the LCS B. The current study shows that the LCS approach together with the Eulerian method can help us to have better understandings of the cavitating flow. The Lagrangian analysis especially indicates the underlying flow physics about the mixing process and bubble growth and decline behaviors. Most of the previous related studies only focus on the flow above the upper surface. The LCSs shown in this study also emphasize the importance of the flow structure of the lower surface, which provides more insightful information for the flow control and is worth further investigation.
机译：为了研究空化流的结构，已使用带有混合湍流模型的体积分数输运方程来模拟二维ClarkY水翼（AoA = 8°，σ= 0.8，且Re = 7·10〜5）。从欧拉观点出发，评估了压力，涡旋结构和体积分数之间的相互作用，并通过实验观察对结果进行了仔细验证。基于附着腔，后缘腔和凹射流的发展，可以相应地对四个不同的流动阶段进行分类。此外，有限时间李雅普诺夫指数（FTLE）和相应的拉格朗日相干结构（LCS）已用于分离动态不同的区域。在上表面上方，由LCS A捕获的液体流可以沿着腔体界面传播到后缘。类似地，LCS C捕获下表面下方的液体流，该液体流可能被吸引到上表面中。从相应的粒子跟踪来看，这两个流在后缘附近相遇并混合在一起，形成折返射流，这可以用LCS B表示。当前研究表明，LCS方法与欧拉方法一起可以帮助我们更好地了解空化流。拉格朗日分析特别指出了有关混合过程以及气泡生长和下降行为的基本流动物理学。先前的大多数相关研究都只关注上表面上方的流动。本研究中显示的LCS还强调了下表面流动结构的重要性，它为流动控制提供了更深入的信息，值得进一步研究。

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