TRACKING MOVING INTERFACES BY LEVEL SET METHOD
用Level Set方法追踪运动界面

In this paper, Level Set method is introduced and adopted to capture moving interfaces of two concentric circles in constant velocity fields, these of circle and rectangle in shear velocity flow fields, and those of hemicycle and Zaleska in revolving velocity flow fields. First Level Set equation is treated with fifth-order WENO scheme and integral-averaging scheme, and then it is re-initialized and calculated again with modified Godunov method. By analyzing the results, the influence of discrete accuracy of time derivative and that of re-initialization of Level Set function on tracking effect are studied. It is shown that not only Level Set method can be used to exactly track interfaces and get a sharp geography, but also it can be easily programmed.