We perform a quantitative assessment of different strategies to compute the contribution due to surface tension in incompressible two-phase flows using a conservative level set (CLS) method. More specifically, we compare classical approaches, such as the direct computation of the curvature from the level set or the Laplace-Beltrami operator, with an evolution equation for the mean curvature recently proposed in literature. We consider the test case of a static bubble, for which an exact solution for the pressure jump across the interface is available, and the test case of an oscillating bubble, showing pros and cons of the different approaches.

翻译：本文采用保守水平集（CLS）方法，对不可压缩两相流中表面张力贡献的不同计算策略进行了定量评估。具体而言，我们比较了经典方法（例如从水平集直接计算曲率或使用拉普拉斯-贝尔特拉米算子）与近期文献中提出的平均曲率演化方程。我们考虑了静态气泡的测试案例（其界面两侧压力跃变存在精确解）以及振荡气泡的测试案例，从而展示了不同方法的优缺点。