平面叶栅不可压粘性流场数值解

本文旨在发展一种二维叶栅不可压粘性流场计算的工程数值法。采用了主变量控制方程。在贴体非正交曲线坐标中求解运动方程。应用了一种新的叠加网格。用逆风因子法来确保数值解的稳定。应用压力修正代数方程来修正压力场,以满足连续方程。应用等效粘性系数紊流模型。最后对四种不同的叶栅在攻角-13°～+11°的范围内进行了数值试验,并将落后角以及分离点的位置与平面叶栅吹风数据作了比较,相互吻合是满意的。

NUMERICAL SOLUTION OF TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOWS IN CASCADES

This paper aims at developing an incompressible N-S equation solver for two -dimensional compressor cascade flows with massive separation for engineering applications. A staggered grid system different from that of SIMPLE method is proposed to make discretization and implementation of boundary conditions very simple and to reduce the computational efforts needed for a two- or three-dimensional problem nearly to the efforts for one-dimensional one. To ensure the numerical stability of convection-diffusion equations,a so-called upwind factor method is devised, which is robust and accurate. To deal with the determination of the pressure field an algebraic pressure correction expression is derived to simplify the numerical scheme further.To verify the scheme four different compressor cascades are taken as examples for numerical experiments. The incident angle varies from -13 to +11. The numericalresults of the deviation angle and separation point are compared with the corresponding physical experimental data in good agreements.