关键词: 跨音速流, 叶栅流, 粘性流, 有限元法

Abstract: A multistage finite element method and a kind of generalized finite element method Taylor Galerkin method are combined properly to form a new kind of method, called multistage generalized finite element method, which has been improved in artificial viscosity. This method has better properties in convergence speed and stability. Using the improved method a two dimensional viscous transonic flow in turbomachinery is studied. The results are compared with those of experiment, which shows the advantages of this method.

Key words: transonic flow, cascade flow, viscous flow, finite element method