航空学报 > 1993, Vol. 14 Issue (11): 629-631

线性GMRES算法在求解全速位方程中的应用

伍贻兆   

  1. 南京航空航天大学6系 南京 210016
  • 收稿日期:1992-08-01 修回日期:1993-03-06 出版日期:1993-11-25 发布日期:1993-11-25

AN APPLICATION OF LINEAR GMRES ALGORITHM FOR SOLVING FULL POTENTIAL EQUATION

Wu Yi-zhao   

  1. Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016
  • Received:1992-08-01 Revised:1993-03-06 Online:1993-11-25 Published:1993-11-25

摘要: 从全速位方程出发,利用压强极小积分得到有限元方程组。采用适用于有限元法的块结构网格生成技术,给出求解有限元总体方程组的线性GMRES算法。该算法比线松弛迭代法的收敛速度快得多。对M6机翼跨音速有升力情况进行了计算,其结果与实验值符合较好。

关键词: 机翼, 跨音速流, 有限元

Abstract: Using the pressure minimum integral, finite element equations are obtained based on the full potential equation. The blocked structured mesh generation technique, which is suitable for finite element method, is used. The GMRES algorithm for solving global finite element equations is given, the algorithm provides more rapid convergence than iterative line relaxation method. The numerical results of M6 wing in transonic flow are presented, which show that the present method is efficient.

Key words: wings, transonic flow, finite element