基于比例边界问断谱元法的无穷域亚音速圆柱绕流数值模拟  

NUMERICAL SIMULATION OF SUBSONIC FLOWS OVER A CIRCULAR CYLINDER BASED ON THE SCALED BOUNDARY DISCONTINUOUS SPECTRAL ELEMENT METHOD

作　　者：张红 吴泽艳[2] 

机构地区：[1]中航通飞研究院有限公司,广东珠海519040 [2]清华大学航天航空学院,北京100084

出　　处：《数值计算与计算机应用》2014年第1期46-52,共7页Journal on Numerical Methods and Computer Applications

摘　　要：将比例边界坐标插值方法引入谱元法,构成比例边界谱单元;为了增加计算的稳定性,将节点布置在单元内部;用若干无限谱元离散计算域,用间断有限元方法对无穷域Euler方程亚音速圆柱绕流问题进行了数值模拟;计算结果的误差很小,显示了计算方法的可行性.A new infinite element, by combining the scaled boundary coordinate interpolation method and spectral element method, named scaled boundary spectral element to solve Eu- ler equations over infinite domains directly is presented. In order to guarantee the numerical stability, the nodes are arranged within the elements. By the discretion of the computation- al domains with some infinite elements, we simulate numerically the subsonic flows over a circular cylinder based on the scaled boundary discontinuous spectral element method. The error of calculation is very small, which shows the feasibility of this numerical method.

关 键 词：比例边界 谱元法 无穷域 EULER方程 间断Galerkin 

分 类 号：O357.5[理学—流体力学] O241.82[理学—力学]