Abstract A Compressive volume-of-fluid (VOF) schemes exhibits numerical diffusion which inhibit them in obtaining a numerically sharp and wrinkle free description of fluid interface which is vital for understanding the complex interfacial dynamics. Therefore, the present study introduces a novel compressive VOF scheme capable of capturing sharp abrupt interfaces at stringent Courant conditions while demonstrating excellent computational efficiency. Moreover, the proposed method is also able to effectively conserve the fluid mass even when subjected to an involved flow field. The performance of the proposed method is evaluated against several canonical pure advection test problems and the results are compared with four established compressive VOF schemes. The quantitative and qualitative analysis of the numerical results assert the ascendancy of the newly introduced scheme. Furthermore, the method exhibits excellent agreement with the literature when applied to the high density ratio problems which involve complex interface topologies dominated by viscous and surface tension forces.

中文翻译：

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一种改进的流体压缩体积方案，用于使用杂交捕获尖锐的界面

摘要 压缩流体体积 (VOF) 方案表现出数值扩散，这抑制了它们获得对流体界面的清晰且无皱纹的数值描述，这对于理解复杂的界面动力学至关重要。因此，本研究引入了一种新颖的压缩 VOF 方案，能够在严格的 Courant 条件下捕获尖锐的突变界面，同时表现出出色的计算效率。此外，即使在涉及流场的情况下，所提出的方法也能够有效地保存流体质量。针对几个典型的纯平流测试问题评估了所提出方法的性能，并将结果与​​四种已建立的压缩 VOF 方案进行了比较。数值结果的定量和定性分析断言了新引入的方案的优势。此外，该方法在应用于涉及由粘性和表面张力主导的复杂界面拓扑的高密度比问题时表现出与文献极好的一致性。