提出了一种单层粒子水平集方法,该方法利用拉格朗日粒子追踪界面特征,采用水平集方法隐式捕捉界面.首先,利用水平集方法捕捉界面.然后,基于拉格朗日粒子的位置信息对界面进行修正,最终得到平滑、精确的运动界面.该方法克服了传统水平集方法体积守恒性差的缺陷,极大地提高了运动界面的精度.另外,本文提出了简单有效的粒子重分配策略,包括粒子的添加和删除,使得该方法能够准确处理复杂的拓扑变化,如界面的合并和分离.最后,通过多个基准算例验证了本文方法的正确性和有效性,可用于精确描述运动界面.

A one-layer particle level set method in which Lagrangian particles are employed to track the interface features is proposed and utilized to capture the interface. First, the interface is captured by utilizing the level set method. Then, the interface is corrected based on the position information of Lagrangian particles and the smooth and accurate interface is obtained. The defect of poor volume conservation properties of the level set method is overcome, which greatly improves the accuracy of the moving interface. After that, a simple and effective particle reallocation strategy is presented, including the addition and deletion of particles, so that the method can accurately handle complex topological changes such as the interface merging and separation. Finally, the method proposed is verified by several benchmark examples, which can be used to accurately describe the moving interface.