北京航空航天大学学报 ›› 2000, Vol. 26 ›› Issue (5): 588-591.

• 论文 • 上一篇    下一篇

迎风格式在二维非结构网格中的应用

王平, 朱自强, 吕哓斌   

  1. 北京航空航天大学 飞行器设计与应用力学系
  • 收稿日期:1999-05-27 出版日期:2000-05-31 发布日期:2010-09-27
  • 作者简介:王 平(1972-),男,江西宜春人,博士生,100083,北京.
  • 基金资助:

    博士点基金资助项目

Upwind Scheme Used on Two Dimensional Unstructured Adaptive Meshes

WANG Ping, ZHU Zi-qiang, Lü Xiao-bin   

  1. Beijing University of Aeronautics and Astronautics,Dept. of Flight Vehicle Design and Applied Mechanics
  • Received:1999-05-27 Online:2000-05-31 Published:2010-09-27

摘要: 将原来在结构网格中提出的AUSM+(Advection Upstream Splitting Method)格式,推广应用于二维非结构网格中.利用格林-高斯公式对控制体内的变量进行线性重构,获得空间二阶精度,并采用Barth型限制器以抑制数值解的振荡.为提高计算效率,采用了自适应多重网格法.最后给出了NACA0012翼型和平板激波反射的几个Euler方程的算例,并进行了分析比较.

Abstract: The AUSM+ (Advection Upstream Splitting Method) finite-volume scheme, which was developed in structured grids, has been extended to be used on unstructured meshes. The linear reconstruction approach using Green-Gauss gradient estimation is applied in order to obtain second order spatial accuracy. A new gradient estimation based on the weighted average of Barth and Jespersen's three point model limiter is employed to minimize the numerical oscillations around solution discontinuities. An adaptive multigrid method is used to accelerate the convergence. Finally, numerical experiments on supersonic shock reflection flow over flat plane, transonic flow over NACA0012 and RAE 2822 airfoils are calculated to validate the methodology.

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