【作者】 葛杨俊； 张兵； 祖磊； 员海玮；

【Author】 GE Yangjun;ZHANG Bing;ZU Lei;YUAN Haiwei;School of Mechanical and Engineering,Hefei University of Technology;College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics;

【机构】 合肥工业大学机械工程学院； 南京航空航天大学航空宇航学院；

【摘要】 本文发展了一种基于扩散方程的动网格计算方法,采用扩散方程来描述网格变形量,并使用有限元方法进行求解,由于不同方向变形量之间是非耦合的,在大变形情况下会造成网格扭曲降低网格质量,为解决此问题,引入了结点旋转运动,同样采用扩散方程来描述旋转角度,使用有限元方法求解,并发展了一种网格光顺方法进一步提高网格质量。以二维NACA0012结构、非结构和混合网格为例进行方法的有效性研究。结果表明,本文方法适用于结构、非结构和混合网格,对大变形问题有良好的计算结果,网格光顺在大变形下效果较好。此外,研究扩散系数对网格质量的影响,结果表明,扩散系数的扩散参数在一定范围内进行选取,可以得到较好的网格质量。更多还原

【Abstract】 A dynamic mesh method based on diffusion equation is developed in this paper,the deformation of the grid is described by the diffusion equation and is solved by the finite element method.Because the deformation is no coupling in different directions,the grid distortion enormously will reduce the mesh quality.To solve this problem,the node rotation notion is introduced,the rotation angle is described by diffusion equation and is solved by finite element method,furthermore,a mesh smoothing method is developed to further improve to the mesh quality.Talking the structure grid,unstructure grid and hybrid grid of the two dimensional NACA0012 as an example.The results show that the developed method is suitable for structural grid,unstructure grid and hybrid grid.Beside the developed method has good calculation results for large mesh deformation,the effect of mesh smoothing is good under large mesh deformation.In addition,the influence of diffusion coefficient on mesh quality is studied.The results show that the diffusion parameters of diffusion coefficient are selected in a certain range,the mesh quality can be obtained.更多还原