期刊文献+

应用间断伽辽金方法求解二维欧拉方程 被引量:1

Application of Discontinuous Galerkin Method in Solving Euler's Equations
下载PDF
导出
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.
出处 《航空计算技术》 2008年第6期36-38,共3页 Aeronautical Computing Technique
关键词 规范正交基 EULER方程 间断伽辽金方法(DGM) Lax—Friedrichs格式 normal orthogonal basis Euler's Equations discontinuous Galerkin method(DGM) Lax- Friedrichs scheme
  • 相关文献

参考文献3

  • 1W H Reed, T R Hill. Triangular mesh methods for the neutron transport equation [ D ]. Tech. Report LA - UR - 73 - 749 ,Los Alamos Scientific Laboratory, 1973.
  • 2B Cockburn, C W Shu. TVB Runge- Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws Ⅱ:general framework[ J]. Math. Comp, 1989, (52) :411 -435.
  • 3Li Wang, Dimitri J Mavriplis. Implicit solution of the unsteady Euler equations for high_ order accurate discontinuous Galerkin discretizations [ J ]. J. Comput. Phys. ( 2007 ), doi : 10. 1016/j. jcp,2007.03. 002.

同被引文献9

  • 1Reed W H, Hill T R. Triangular Mesh Methods for the Neu- tron Transport Equation[ R]. Ix~s Alamos Scientific Laborato- ry Report LA- UR - 73 - 479,1973.
  • 2Cockbum B, Shu C W. The Runge- Kutta Discontinuous Galerkin Method for Conservation Laws V :Muhidimensional Systems[ J ]. Journal of Computational Physics, 1998,141 : 199 - 224.
  • 3Bassi F, Rebay S. A High Order Accurate Discontinuous Fi- nite Element Method for the NumericM Solution of the Com- pressible Navier Stokes Equations [ J ]. Journal of Computa- tional Physics, 1997,131:267 - 279.
  • 4Cockburn B, Shu C W. The Local Discontinuous Galerkin Method for Time- dependent Convection Diffusion systems [ J ]. SIAM Journal on Numerical Analysis, 1998,35:2440 - 2463.
  • 5Lilia Krivodenova, Marsha Berger. High Order Accurate Im- plementation of Solid Wall Boundary Conditions in Curved Geometries [ J ]. Journal of Computational Physics, 2006, 211:492 -512.
  • 6Joe Iannelli. An Implicit Galerkin Finite Element Runge Kut- ta Algorithm for Shock Structure Investigations [ J ]. Journal of Computational Physics ,2011,230:260 - 286.
  • 7于剑,阎超.Navier-Stokes方程间断Galerkin有限元方法研究[J].力学学报,2010,42(5):962-970. 被引量:23
  • 8阎超,于剑,徐晶磊,范晶晶,高瑞泽,姜振华.CFD模拟方法的发展成就与展望[J].力学进展,2011,41(5):562-589. 被引量:156
  • 9Zhen-Hua Jiang,Chao Yan,Jian Yu,Wu Yuan.Hermite WENO-based limiters for high order discontinuous Galerkin method on unstructured grids[J].Acta Mechanica Sinica,2012,28(2):241-252. 被引量:4

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部