跨声速伽辽金有限元法所用上风技术的改进  

AN IMPROVEMENT ON UPWINDING TECHNIQUE USED IN THE GALERKIN FINITE ELEMENT METHOD FOR THE COMPUTATION OF INVISICID TRANSONIC FLOW WITH SHOCK WAVES

作　　者：俞守勤[1] 张庆兵[1] 魏立新 

机构地区：[1]南京航空学院

出　　处：《空气动力学学报》1990年第2期188-194,共7页Acta Aerodynamica Sinica

摘　　要：伽辽金有限元法是解跨声速绕流的有效方法,对超临界流动,为了自动捕捉到激波,通常采用了上风技术,但导致了气流通过激波时质量守恒条件得不到满足。本文通过Bateman变分原理和加罚泛函找到了强制满足质量守恒约束条件的附加项,大大改善了用伽辽金有限元法解超临界绕流的计算结果。Galerkin finite element method using the upwinding technique is an effective method for the computation of inviscid transonic flow with shock waves, but the continuity equation is not satisfied in this procedure. In this paper finite element equations are modified via penalty function to assure conservation of mass. It improves the results considerably and leads to stronger and more stable shocks.

关 键 词：绕流 跨声速流 伽辽金法 有限元法 

分 类 号：V211.14[航空宇航科学与技术—航空宇航推进理论与工程]