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Accurate calculation of bubble and droplet properties in diffuse-interface two-phase simulations

2025/01/05 by Paul Nathan, Nathan, Pranav J., Suhas S. Jain +1 · 2 citations
Computer Science · Engineering · Materials Science · #Advanced Data Storage Technologies #Catalytic Processes in Materials Science #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Heat Transfer

paper · pdf · doi:10.48550/arxiv.2501.02420

openalex publication_date 2025/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

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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