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捕获运动界面的有限元方法
引用本文:董毅峰,王雪瑶,刘长春.捕获运动界面的有限元方法[J].辽宁工程技术大学学报(自然科学版),2009,28(2).
作者姓名:董毅峰  王雪瑶  刘长春
作者单位:1. 武汉理工大学机电工程学院,湖北,武汉,430070;河南工业大学,河南,郑州,450007
2. 中国科学院先进能源动力重点实验室,工程热物理研究所,北京,100190;中国科学院研究生院,北京,100049
3. 中国科学院工程热物理研究所,北京,100190
摘    要:介绍了使用LeveiSet方法对界面的运动情况进行精确追踪,采用Taylor-Galerkin(TG)有限元方法离散LevelSet方程,易于处理复杂边界.利用不可压缩流体性质,避免求解重新初始化方程.采用有限元方法对剪切流场中界面的运动变化进行数值模拟,并与有限差分方法离散LevelSet方程,修正的Godunov方法求解重新初始化方程的计算结果,进行对比.结果验证TG有限元方法具有简单灵活和易于编程的特点,求解LeveiSet 方程是可行的.

关 键 词:运动界面  LevelSet方法  Taylor-Galerkin方法

Levelset equation solved by Taylor-Galerkin finite element and comparison with Weno method
DONG Yifeng,WANG Xueyao,LIU Changchun.Levelset equation solved by Taylor-Galerkin finite element and comparison with Weno method[J].Journal of Liaoning Technical University (Natural Science Edition),2009,28(2).
Authors:DONG Yifeng  WANG Xueyao  LIU Changchun
Institution:1.Wuhan University of Technology;Wuhan 430070;China;2.Henan Industry University;Zhengzhou 450007;3.Laboratory of Advanced Energy and Power Technology;Institude of Engineering Thermophysics of Chinese Academy of Sciences;Beijing 100190;CHina;4.Graduate University of Chinese Academy of Sciences;Beijing 100049 5 Institude of Engineering Thermophysics of Chinese Academy of Sciences;Beijing 100190
Abstract:Above all,LevelSet method is introduced.Then Taylor-Galerkin(TG)finite element method is used to solve the LevelSet equations.For taking advantage of incompressible flow characteristic,Reinitializtion of Level Set function is avoided.For using finite method,it is easy to handle complicated boundary conditions.By simulating the interface move in the constant,revolving and shear velocity flow fields,as well as comparing with the results by 5th order WENO method and revisement Godnov method,TG method is proved...
Keywords:moving interface  Levelset method  Taylor-Galerkin method  
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