Abstract This work reports on the development and application of a new approach, corrective interface tracking, to simulate finite size bubbles. Finite-size bubbles, which are by definition bigger than the grid cell size but not well resolved, are not capable of being modeled with any standard two-phase flow approaches, such as interface tracking (IT), Euler-Euler (EE), or Lagrangian particle tracking (LPT). This poses a problem when simulating bubbly flows with different bubble sizes on the same computational grid. The Finite-size Lagrangian particle tracking (FSL) approach (Badreddine et al., 2015), aimed at simulating finite-size bubbly flows by inheriting features of IT and LPT approaches, simulated a single bubble with good accuracy. However, deficiencies with the FSL approach led to a newly developed approach based on interface tracking with the addition of a correcting force. The correcting force, derived from modeling the hydrodynamic forces on a bubble, attempts to correct for errors introduced when a coarse grid is used and the flow and pressure fields around the bubble are under-resolved. Therefore, as a finer grid is used the correcting force decreases. The corrective interface tracking approach is validated against a single bubble rising in stagnant and linear flow, and then results are compared to FSL and to finely resolved IT simulations.

中文翻译：

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模拟有限尺寸气泡流的修正界面跟踪方法

摘要 这项工作报告了一种新方法的开发和应用，校正界面跟踪，以模拟有限尺寸的气泡。有限尺寸气泡，根据定义大于网格单元尺寸但不能很好地解析，不能用任何标准的两相流方法建模，例如界面跟踪 (IT)、欧拉-欧拉 (EE)、或拉格朗日粒子跟踪 (LPT)。当在同一计算网格上模拟具有不同气泡大小的气泡流时，这会带来问题。有限尺寸拉格朗日粒子跟踪 (FSL) 方法（Badreddine 等，2015）旨在通过继承 IT 和 LPT 方法的特征来模拟有限尺寸的气泡流，以良好的精度模拟单个气泡。然而，FSL 方法的缺陷导致了一种新开发的方法，该方法基于界面跟踪并增加了校正力。修正力源自对气泡上的流体动力建模，尝试修正在使用粗网格且气泡周围的流场和压力场解析不足时引入的错误。因此，随着使用更精细的网格，校正力会降低。修正界面跟踪方法针对在停滞和线性流中上升的单个气泡进行了验证，然后将结果与 FSL 和精细解析的 IT 模拟进行比较。尝试纠正使用粗网格时引入的错误，并且气泡周围的流场和压力场解析不足。因此，随着使用更精细的网格，校正力会降低。修正界面跟踪方法针对在停滞和线性流中上升的单个气泡进行了验证，然后将结果与 FSL 和精细解析的 IT 模拟进行比较。尝试纠正使用粗网格时引入的错误，并且气泡周围的流场和压力场解析不足。因此，随着使用更精细的网格，校正力会降低。修正界面跟踪方法针对在停滞和线性流中上升的单个气泡进行了验证，然后将结果与 FSL 和精细解析的 IT 模拟进行比较。