利用RKDG有限元方法追踪运动界面  

RKDG finite element method for tracing of moving interface

作　　者：石国红[1] 冀铁果[1] 陈荣三[2] 

机构地区：[1]河北工程大学理学院,河北邯郸056021 [2]上海大学数学系,上海200444

出　　处：《河北工程大学学报（自然科学版）》2008年第1期104-107,共4页Journal of Hebei University of Engineering:Natural Science Edition

摘　　要：本文首先介绍了用于运动界面追踪的Level Set方法,并简要分析了其优缺点。与其它的界面追踪方法相比,Level Set方法较灵活,无须进行复杂繁琐的界面重构,编程简单,所需要的计算量和存储量不大。然后将RKDG有限元方法推广到Level Set方程的求解,对二维流体中常见的常数流场、旋转流场和剪切流场做了追踪模拟,并与其它几种运动界面追踪方法做了比较。数值实验表明,本文的方法可以比较准确地捕捉运动界面,得到了分辨率较高的计算结果。Level Set method including its advantages and disadvantages was first introduced to trace moving interface. Compared with other methods for tracing of moving interface, Level Set method is more flexible, without using complicated reconstruction technique of interface, so it can be easily programmed. Level Set equation was solved by using RKDG （Runge- Kutta Discontinuous Galerkin） finite element method. RKDG method was used to trace the two dimensional constant flow, rotating flow and shear flow, the method proposed was compared with the other methods for tracing of moving interface. The result shows that not only RKDG method can capture the moving interface accurately but also obtained high resolution ratio computational results.

关 键 词：RKDG有限元方法 LEVEL SET方法 运动界面 

分 类 号：O242.21[理学—计算数学]