数值模拟二维跨音速叶栅可压粘性流动

NUMERICAL ANALYSIS OF TWO-DIMENSIONAL COMPRESSIBLE VISCOUS FLOW IN TRANSONIC COMPRESSOR CASCADES

关键词:  压气机叶栅  纳维尔-斯托克斯方程  激波  数值计算

Key words:  Compressor cascade  Navier-Stokes equations  Shock wave  Numerical calculation

摘要:

用有限体积法数值模拟了任意回转流面跨音速压气机叶栅中的粘性流动，四步龙格－库塔法用于N－S方程的时间推进。给出了一种抑制叶栅计算中“数值失速”的方法，并采用隐式残差光顺技术加速收敛。用所发展的方法计算了三种叶栅在宽广来流Ma数条件下的流动，计算结果与实验结果吻合良好，流场激波具有较高的分辨率。

Abstract:

A finite volume method is applied to solve the Navier-Stokes equations for twodimensional transonic f1ow in compressor cascade’ The 4th order of Runge-Kutta scheme is used improve the time-dependent solution. Turbulent properties are calculated with the algebraic Baldwin-Lomax models. The effects of the rotation and the variations of radius, and the thickness of stream surface have been taken into account. With high-pressure-ratio compressore, there is a strong tendency for the calculation to stall within the transient part Of the flow. This can be solved by using a new technique of mass flow controlling. Comparisons of experimental and computational results with this method for four kinds of cascade in a wide inlet Mach number range are presented. The computed results are satisfactory, especially for the supersonic inflow.