Numerical models of surface tension play an increasingly important role in our capacity to understand and predict a wide range of multiphase flow problems. The accuracy and robustness of these models have improved markedly in the past 20 years, so that they are now applicable to complex, three-dimensional configurations of great theoretical and practical interest. In this review, I attempt to summarize the most significant recent developments in Eulerian surface tension models, with an emphasis on well-balanced estimation, curvature estimation, stability, and implicit time stepping, as well as test cases and applications. The advantages and limitations of various models are discussed, with a focus on common features rather than differences. Several avenues for further progress are suggested.

中文翻译：

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表面张力的数值模型

表面张力的数值模型在我们理解和预测各种多相流问题的能力中发挥着越来越重要的作用。在过去的 20 年中，这些模型的准确性和鲁棒性有了显着提高，因此它们现在适用于具有重要理论和实践意义的复杂的三维配置。在这篇评论中，我试图总结欧拉表面张力模型中最重要的最新发展，重点是均衡估计、曲率估计、稳定性和隐式时间步长，以及测试用例和应用。讨论了各种模型的优点和局限性，重点是共同特征而不是差异。提出了一些进一步取得进展的途径。