TY - JOUR TI - A modification of level set re-initialized method for the shock waves through the air bubble AU - Zhang Li AU - Ning Jian-Guo AU - Zhang Tao JN - Thermal Science PY - 2014 VL - 18 IS - 5 SP - 1525 EP - 1530 PT - Article AB - For the re-initialization problem of the level set method, a new re-initialization formula of smoothing parameter based on the traditional implicit method is proposed. The improved method is applied to describe the process of the shock through the air bubble by means of numerical simulation. Numerical results show that the method is superior to the traditional level set method.