超音速粘性流动的SUPG有限元数值解法  

NUMERICAL SOLUTION OF SUPG FINITE ELEMENT METHOD FOR SUPERSONIC VISCOUS FLOW

作　　者：徐国群[1] 张国富[1] 

机构地区：[1]南京航空学院

出　　处：《力学学报》1991年第5期533-541,共9页Chinese Journal of Theoretical and Applied Mechanics

摘　　要：本文构造了准简化 N-S 方程组的 SUPG(Streamline Upwind/Petrov-Galerk-in)加权剩余式,并利用该方法对 Burgers 方程、无粘性激波反射问题、以及超音速平板和压缩拐角的层流流动作了数值求解。计算结果表明,本文方法是精确、收敛和稳定的。A streamline upwind/Petrov-Galerkin (SUPG) weighted residual formulation has been developed in the present paper for the quasi-simplified N-S equations. Numerical calculations have been made for the Burgers' equation, the shock reflection on a solid wall, and the supersonic laminar flow over a flat plate and two-dimensional compression corner flow by using the present method. The numerical results show that the present method has good accuracy, convergence, and stability properties.

关 键 词：超音速 粘性流动 有限元法 SUPG法 

分 类 号：O354.3[理学—流体力学]