透平叶栅跨音速流动计算中的新型有限元法

将Ｔａｙｌｏｒ－Ｇａｌｅｒｋｉｎ有限元法和多级有限元的思想结合起来，构成了在收敛速度和稳定性两方面均较好的新型有限元算法：多级广义有限元。利用这一方法，分别基于Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程和Ｅｕｌｅｒ方程，研究了透平跨音速叶栅无粘流动和粘性流动，并将计算结果与实验结果作了比较。计算结果表明，本方法是透平机械内部跨音速流动计算的强有力的手段。

A New Kind of Finite Element Method in Computation of Transonic Flow Field in Turbomachinery

In this paper, Multilevel Finite Element Method and one kind of Generalized Finite Element Method Taylor Galerkin Method are combined properly to a new kind of method which called Multilevel Generalized Finite Element Method, which has been improved in artificial viscosity. This method has better properities in convergence velocity and stability. Using the improved method we studied inviscid and viscous transonic flow in turbomachinery based on Euler and Navier Stokes equations. The results are compared with that of experiment, which shows the advantages of this method and will be a good method for calculating flow field in turbomachineary.