Abstract In this paper, we present a level-set based formulation to simulate interfacial flows on unstructured meshes. The residual-based variational multiscale formulation (VMS) is employed to solve the coupled Navier-Stokes and level-set convection equations as well as the re-distancing problem based on an Eikonal equation. To suppress the nonphysical currents, we embed a balanced-force surface tension model in the VMS formulation. We compare traditional Brackbill’s continuous surface force (CSF) model and the balanced-force CSF model by simulating a series of bubble dynamics on unstructured meshes. We assess the accuracy of both models by comparing with benchmark results, which shows that the VMS formulation with the balanced-force CSF model possesses improved performance. At last, we simulate a droplet impact and crown propagation problem with the balanced-force CSF model. Good agreement with the experimental result is achieved.

中文翻译：

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用平衡力表面张力模型对界面流动进行变分多尺度建模

摘要 在本文中，我们提出了一种基于水平集的公式来模拟非结构化网格上的界面流动。基于残差的变分多尺度公式 (VMS) 用于求解耦合的 Navier-Stokes 和水平集对流方程以及基于 Eikonal 方程的重新距离问题。为了抑制非物理电流，我们在 VMS 公​​式中嵌入了平衡力表面张力模型。我们通过在非结构化网格上模拟一系列气泡动力学来比较传统 Brackbill 的连续表面力 (CSF) 模型和平衡力 CSF 模型。我们通过与基准结果进行比较来评估两种模型的准确性，这表明具有平衡力 CSF 模型的 VMS 公​​式具有改进的性能。最后，我们使用平衡力 CSF 模型模拟液滴撞击和冠传播问题。与实验结果吻合良好。