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高阶间断Galerkin方法求解三维欧拉方程的研究
引用本文:郝海兵,杨永,左岁寒.高阶间断Galerkin方法求解三维欧拉方程的研究[J].西北工业大学学报,2011,29(1):128-132.
作者姓名:郝海兵  杨永  左岁寒
作者单位:西北工业大学翼型叶栅空气动力学国防科技重点实验室,陕西,西安,710072
基金项目:国家自然科学基金(11002117)资助
摘    要:在三维非结构网格上,对高阶间断Galerkin方法求解定常三维欧拉方程进行研究.文中使用Roe格式通量函数计算网格单元边界上的数值通量;时间方向采用显式Runge-Kutta方法推进;并引入激波探测器和斜率限制器技术,成功地抑制流场解在间断处的数值振荡.对M6机翼跨音速无粘流场进行数值模拟,结果表明:计算结果和实验值吻...

关 键 词:间断Galerkin有限元  激波探测器  斜率限制器  欧拉方程

Effectively Applying High-Order Discontinuous Galerkin Method(DGM)to Solving 3-D Euler Equations on Unstructured Grids
Hao Haibing,Yang Yong,Zuo Suihan.Effectively Applying High-Order Discontinuous Galerkin Method(DGM)to Solving 3-D Euler Equations on Unstructured Grids[J].Journal of Northwestern Polytechnical University,2011,29(1):128-132.
Authors:Hao Haibing  Yang Yong  Zuo Suihan
Affiliation:(National Key Laboratory of Aerodynamic Design and Research,Northwestern Polytechnical University,Xi′an 710072,China)
Abstract:Aim.The introduction of the full paper reviews a number of papers in the open literature,points out their shortcoming and then,in its last paragraph,proposes what we believe to be an effective method of applying the DGM,which is explained in sections 1 through 5.Section 2 uses a discontinuous Galerkin finite element method to compute the compressible inviscid steady-state flow on 3-D unstructured grids and then,uses the Roe flux to discretize the nonlinear numerical flux.Sections 3 and 4 use the discontinuo...
Keywords:compressible flow  transonic flow  Galerkin methods  Runge-Kutta methods  finite element method  discontinuous Galerkin method(DGM)  Euler equation  
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