Abstract Coupling techniques that take advantage of the mass conservation property of the volume-of-fluid (VOF) method and the sharpened interface computation of the Level Set (LS) approach are widely used for computations with high accuracy order demands. In this paper, an enhanced coupling method for interface computations in incompressible two-phase flows is presented. In the proposed method, the solution of the re-initialization LS function is reformulated in a conservative form before it is applied to estimate the interface curvature and interface normal vector. The estimated interface exhibits significant improvements in smoothness and accuracy compared to those obtained with the original VOF method and a previous coupling method. The proposed method is then implemented in an incompressible Navier–Stokes solver (interFoam) in the OpenFOAM platform to solve several benchmark tests. Good agreement between the simulated results and the analytical/benchmark solutions with well-preserved mass conservation is obtained for standard tests, including a reversed single vortex, static droplet, and rising bubble, thus demonstrating the potential of the proposed technique for both academic research and practical applications.

中文翻译：

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不可压缩两相流界面计算耦合方法的改进

摘要 利用流体体积（VOF）方法的质量守恒特性和水平集（LS）方法的锐化界面计算的耦合技术被广泛用于具有高精度阶数要求的计算。在本文中，提出了一种用于不可压缩两相流界面计算的增强耦合方法。在所提出的方法中，重新初始化 LS 函数的解在应用于估计界面曲率和界面法向量之前以保守形式重新制定。与使用原始 VOF 方法和先前的耦合方法获得的界面相比，估计的界面在平滑度和准确性方面表现出显着的改进。然后在 OpenFOAM 平台中的不可压缩 Navier-Stokes 求解器 (interFoam) 中实现所提出的方法，以解决多个基准测试。对于标准测试，包括反向单涡流、静态液滴和上升气泡，模拟结果与具有保存完好的质量守恒的分析/基准解决方案之间具有良好的一致性，从而证明了所提出的技术在学术研究和实际应用。