扩散界面两相模拟中气泡和液滴属性的精确计算
Accurate calculation of bubble and droplet properties in diffuse-interface two-phase simulations
AI总结：
本文提出一种基于解析截断体积近似的简单校正方法，用于精确恢复扩散界面两相流模拟中液滴/气泡的体积和数量，显著降低体积误差并适用于广泛截断值。
摘要：
本文针对扩散界面两相流模拟中精确计算液滴/气泡属性（如体积、数量）的挑战。目前，泛洪填充算法可能会截断扩散界面区域内液滴/气泡体积的很大一部分，或人为合并多个液滴/气泡。该误差还依赖于体积分数截断值，而该值在泛洪填充算法中通常任意选择为0.5。我们提出了一种简单的体积校正方法，该方法结合了截断体积的解析近似，以校正缺失的液滴/气泡体积。所提出的方法能够在广泛的体积分数截断值范围内以最小的体积误差精确恢复分散相体积；因此，也能精确恢复液滴/气泡的数量。这可以成为精确计算液滴/气泡尺寸分布以供分析以及在多尺度建模方法中将分散相从欧拉到拉格朗日转换的有用工具。
英文摘要：
In this paper, we address the challenge of accurately calculating droplet/bubble properties (e.g., volume, number) in diffuse-interface two-phase flow simulations. Currently, flood-fill algorithms can truncate a significant portion of the volume of droplets/bubbles contained within the diffuse interface region or artificially merge multiple droplets/bubbles. This error is also dependent on the volume fraction cutoff value, which is typically chosen to be 0.5 arbitrarily, in the flood-fill algorithms. We propose a simple volume-correction approach that incorporates an analytical approximation of the truncated volume to correct for the missing droplet/bubble volumes. This proposed method results in accurately recovering the dispersed phase volumes with minimal volume error over a wide range of volume fraction cutoff values; and hence, can also accurately recover the number of droplets/bubbles. This can be a valuable tool for accurate calculation of drop/bubble size distributions for analysis and for Eulerian-to-Lagrangian conversion of the dispersed phase in multi-scale modeling approaches.
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