Abstract Incompressible two-phase flow involving interface evolution was studied using a level set method. To maintain the level set function as a signed distance function from the zero level set and meanwhile preserve the mass conservation, a level set redistancing algorithm of level set methods was developed. Important to the above level set redistancing algorithm was a new idea that keeps the zero level set almost unchanged during the redistancing process. Protection of the zero level set is introduced in the redistancing process to ensure that the interface does not change, thus reducing or even avoiding mass errors induced. Accuracy of this algorithm was verified in terms of such benchmark problems as deforming vortex and Zalesak’s disk problems. Numerical examples including 2D and 3D dam-break and 3D single bubble rising simulations are presented to validate the present level set method. Mass conservation and computational costs involving complicated interfacial flow structures are also presented.

中文翻译：

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一种模拟两相流的水平集重距算法

摘要 采用水平集方法研究了界面演化不可压缩的两相流。为了保持水平集函数作为与零水平集的有符号距离函数并同时保持质量守恒，开发了一种水平集方法的水平集重距离算法。对上述水平集重新距离算法重要的是一个新思想，它在重新距离过程中保持零水平集几乎不变。在再距离过程中引入了零电平集的保护，以确保界面不会发生变化，从而减少甚至避免引入的质量错误。该算法的准确性在变形涡旋和Zalesak圆盘问题等基准问题上得到了验证。提供了包括 2D 和 3D 溃坝以及 3D 单气泡上升模拟在内的数值示例，以验证当前的水平集方法。还介绍了涉及复杂界面流动结构的质量守恒和计算成本。