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基于结构网格点的Euler方程无网格自适应求解算法
引用本文:马志华,陈红全.基于结构网格点的Euler方程无网格自适应求解算法[J].南京航空航天大学学报(英文版),2005,22(4):271-275.
作者姓名:马志华  陈红全
作者单位:南京航空航天大学航空航宇航学院,南京,210016,中国
基金项目:Supported by the National Natural Science Foundation of. China (10372043) ; the Aeronautical Science Foundation of China (02A52002).
摘    要:提出了一种自适应无网格Euler方程求解算法。构造了基于无网格点云结构的布点加密技术,实现了借助压力梯度变化准则的流场局部加密;借助流场结构化剖分技术,给出初始无网格节点分布,并采用四步显式Runge—Kutta时间格式推进计算,求解了绕翼型的典型流动问题。数值算例表明,本文提出的方法能有效地提高流场的分辨率,如捕捉激波等流动特征清晰明了。

关 键 词:无网格  自适应算法  局部加密  Euler方程
收稿时间:03 15 2005 12:00AM
修稿时间:08 29 2005 12:00AM

MESH FREE ADAPTIVE ALGORITHM FOR SOLVING EULER EQUATIONS ON STRUCTURED GRID POINTS
MA Zhi-hua,CHEN Hong-quan.MESH FREE ADAPTIVE ALGORITHM FOR SOLVING EULER EQUATIONS ON STRUCTURED GRID POINTS[J].Transactions of Nanjing University of Aeronautics & Astronautics,2005,22(4):271-275.
Authors:MA Zhi-hua  CHEN Hong-quan
Institution:College of Aerospace Engineering, NUAA, 29 Yudao Street, Nanjing, 210016, P.R. China
Abstract:A complete mesh free adaptive algorithm (MFAA), with solution adaptation and geometric adaptation,is developed to improve the resolution of flow features and to replace traditional global refinement techniques in structured grids. Unnecessary redundant points and elements are avoided by using the mesh free local clouds refinement technology in shock influencing regions and regions near large curvature places on the boundary. Inviscid compressible flows over NACA0012 and RAE2822 airfoils are computed. Finally numerical results validate the accuracy of the above method.
Keywords:mesh free  adaptive algorithm  local refinement  Euler equations
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