应用间断伽辽金方法求解二维欧拉方程  

Application of Discontinuous Galerkin Method in Solving Euler's Equations

作　　者：郭永恒[1] 杨永[1] 郝海兵[1] 

机构地区：[1]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

出　　处：《航空计算技术》2008年第6期36-38,共3页Aeronautical Computing Technique

摘　　要：在二维非结构网格上,构造了规范正交基作为测试函数,应用不同精度的间断伽辽金方法(DGM)数值求解二维Euler方程,其中数值通量项采用Lax-Friedrichs格式计算。通过对绕NA-CA0012翼型的跨音速流场的数值模拟,分析了该方法在捕捉间断解方面的特性;同时借鉴有限体积法(FVM)中的一些技术,对求解方案进行了优化。把间断伽辽金方法和有限体积法计算的结果进行比较,认为前者能够更好地处理间断解问题。With normal orthogonal basis functions constructed as test functions ,Euler＇s Equations are solved by discontinuous Galerkin method. Then the transonic flowfield of NACA0012 is numerically simulated, and the capability of DGM in capturing discontinuous solution is analyzed. The numerical flux of Euler equations are calculated by using Lax- Friedrichs scheme. During the optimization of solving process and result, some techniques applied in FVM are performed. The discontinuous solution is simulated more efficiently by DGM comparing with FVM.

关 键 词：规范正交基 EULER方程 间断伽辽金方法(DGM) Lax—Friedrichs格式 

分 类 号：O242[理学—计算数学]