Abstract Direct numerical simulation (DNS) has been widely employed to study the dynamics of turbulent bubbly flows; however, it is used in a limited setting, namely, turbulent bubbly channel flows with low density ratio and low Reynolds number. The present study aims to overcome these limitations and simulate turbulent bubbly pipe flow of a water-air system, a common experimental setting, with high density ratio and Reynolds number. Recently, we developed a cumulant lattice Boltzmann method for two-phase flows and simulated violent two-phase flows with high density ratio and high Reynolds number (Sitompul and Aoki, 2019). In this study, that method is extended by incorporating a multi-phase field model for simulating dispersed bubbles. The proposed method was evaluated by using several cases, namely, 3D bubble rising, turbulent single-phase channel and pipe flows with friction Reynolds number ( Re τ ≈ 180 , 550 ), turbulent bubbly channel flows with ( Re τ ≈ 180 ) and void fraction ( α = 1.5 % , 19.4 % ), and turbulent bubbly pipe flow with ( Re τ = 550 , α = 9.5 % ). The proposed method can stably simulate the cases, and the results obtained by the proposed method agree well with numerical and experimental results given in the references for given computational domain and grid sizes.

中文翻译：

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使用格子 Boltzmann 方法和多相场模型模拟高密度比和高雷诺数的湍流气泡管流

摘要 直接数值模拟（DNS）已被广泛用于研究湍流气泡流的动力学；然而，它用于有限的设置，即具有低密度比和低雷诺数的湍流气泡通道流。本研究旨在克服这些限制并模拟具有高密度比和雷诺数的水-空气系统的湍流气泡管流，这是一种常见的实验设置。最近，我们开发了一种用于两相流的累积格子玻尔兹曼方法，并模拟了具有高密度比和高雷诺数的剧烈两相流（Sitompul 和 Aoki，2019）。在这项研究中，该方法通过结合用于模拟分散气泡的多相场模型进行了扩展。通过使用几种情况来评估所提出的方法，即3D气泡上升，具有摩擦雷诺数 (Re τ ≈ 180 , 550 ) 的湍流单相通道和管道流动，具有 ( Re τ ≈ 180 ) 和空隙率 ( α = 1.5 % , 19.4 % ) 的湍流气泡通道流动，以及湍流气泡管道流动与 ( Re τ = 550 , α = 9.5 % )。所提出的方法可以稳定地模拟这些情况，并且在给定计算域和网格大小的情况下，所提出的方法获得的结果与参考文献中给出的数值和实验结果非常吻合。