一种保持界面位置不动的水平集函数隐式重新初始化方法  

An Implicit Re-initialization Method for Level Set Function Keeping Interface Fixed

作　　者：张彬[1] 刘小民[1] 

机构地区：[1]西安交通大学能源与动力工程学院,陕西西安710049

出　　处：《计算物理》2011年第5期667-676,共10页Chinese Journal of Computational Physics

基　　金：中央高校基本科研业务费专项资金项目(xjj20100073);中国博士后科学基金(20100481329)资助项目

摘　　要：以保持界面不动为主要目标,推导水平集函数重新初始化方程中光滑参数的取值公式,得到一种新型的隐式重新初始化方法.证明应用该方法进行重新初始化时,保证界面附近水平集函数节点值符号不变时间步长只需满足原始的CFL条件即可.最后,将该方法与原有初始化方法结合,得到一种准确且快速的隐式重新初始化方法.用数值算例验证该方法的有效性.To keep interface fixed, we derive formula of smoothing parameter in level set re-initialization equation and form a implicit re-initialization method. It was proved that as the developed method is used to reinitialize the level set function for ensuring sign of level set function on nodes near interface the time step need only to satisfy the original CFL condition. Finally, the improved method is combined with the original method to make an accurate and fast implicit re-initialization method. Numerical examples illustrate effectiveness of the methods.

关 键 词：水平集 重新初始化 光滑参数 CFL条件 

分 类 号：O351[理学—流体力学]