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：我们采用守恒型水平集（CLS）方法，对不可压缩两相流中不同表面张力贡献计算策略进行了定量评估。具体而言，我们将经典方法（如直接从水平集曲率或拉普拉斯-贝尔特拉米算子计算）与近期文献中提出的平均曲率演化方程进行比较。我们分别以静态气泡（其界面两侧存在精确的压力跃变解析解）和振荡气泡作为测试算例，展示了不同方法的优缺点。