用N-S方程计算三维叶栅流

发展了基于微元中心有限体积方法，采用雷诺平均Ｎ－Ｓ方程求解三维叶栅流动的程序，特别注意了格式中人工粘性的加法；程序采用Ｂａｌｄｗｉｎ－Ｌｏｍａｘ模型。格式经过平板层流及湍流流动的校验，层流与Ｂｌａｓｉｕｓ解、湍流与实验经验公式及Ｗｉｌｃｏｘ的计算值符合很好，最后以Ｇｏｌｄｍａｎ涡轮导向器为例进行了叶栅流动计算校核，结果符合于实验以及Ｃｈｉｍａ等人的计算。

CALCULATION OF 3D CASCADE FLOW WITH N-S EQUATION

A cell-centered finite volume method was developed to solve Renolds-averaged Navier-Stokes equation with Jameson`s Runge-Kutta scheme.In its programming special attention was paid to the addition of artificial viscosity,so that the solution could not be polluted.Baldwin-Lomax Turbulence model is applied to programming.The programm has been verified by plate laminar flow,plate turbulent flow and Goldman Turbine vane flow.Firstly,the calculation of the plate laminar flow coincided with Blasius similarity solution;Secondly,the result of the plate turbulent flow was confirmed well with empirical formula and the calculation of Wilcox;Finally, with respect to the Goldman turbine vane flow field,the comparision was made between calculated results and experimental data of pressure distribution over blade profile.It indicated their consistency except fluctuations of the calculated results at leading and trail edge of vane blade.The source of the fluctuations lied in simple H type grid which could not describe the true blade profile and caused so big shear that the calculation scheme was deteriorated.The calculated Mach contour lines agreed to the simulation results of China.All of those indicated that the programm suits to designing system of turbomachinery.