一种基于数值计算的轴流压气机旋转失速稳定性模型——之二:简化模型及应用

提出了一个基于直接数值计算结果基础上的旋转失速线性稳定性模型,描述了如何从基本的Navier-Stokes方程出发,把轴流压气机流动稳定性问题转化为一个特征值问题的基本理论框架,对压气机不稳定边界的判断通过计算和检验特征值的方式来实现,给出了有限差分法和基于Gauss-Lobatto节点的谱配置方法两种数值离散的方式,并分析了这两种离散方式的收敛特性.

A linear stability model of rotating stall based on direct numerical techniques:part II- a simplified model and its applications

A two-dimensional linear stability model was presented,which can be used to estimate the inception point of rotating stall in axial flow compressors by solving the eigenvalues,the effects of the blade rows in compressors on the flow field have been modeled by body force source terms in the momentum equations.Two methods,finite difference and spectral collocation methods,have been used to discretize the eigenvalue equations.The validations of model have been performed in two different cases,and the results show that the simplified model is able to predict the stall onset point of low-speed axial compressors.