一种固定界面的Level Set重新初始化方法

A Fixed Interface Re-initialization Level Set Method

针对Level Set函数重新初始化过程导致的质量不守恒性问题,采用一种固定界面位置的方式,分析了固定界面位置与光滑参数之间的关系,推导了一种光滑参数的选取计算公式。与传统光滑参数的取值相比,本文提出的光滑参数不是固定而是变化的,它依赖于界面附近节点的信息。数值实验结果表明,该方法能够有效地捕捉界面,并能大大提高质量守恒性。

A fixed interface method is proposed for the loss of quality problem during re-initialization of Level Set method. The relationship between the smooth parameter and the fixed interface location is analyzed emphatically,and a calculation formula of smooth parameter is deduced. Compared with the traditional method,the smooth parameter is changed,which depends on the node information near the interface. Numerical experimental results show that the proposed method can effectively capture the interface,and also can greatly improve the conservation of mass.