复杂区域内粘性流动的数值计算

本文应用原始变量法(SIMPLEC)计算了复杂区域内的不可压和可压缩流动问题。计算时,仍使用交错网格,但在求解动量方程时采用协变分量做为原始变量,有效地消除了在任意非正交坐标系下压力和笛卡尔速度分量不耦合而产生的压力波动。在压力修正方程中考虑了密度的影响并构造出一种密度的迎风格式,保证了计算的稳定与收敛,使之预示马赫数变化范围较大的流动成为可能。对由NACA65(12A10)10构成的平面叶栅、由NGTE10C4/30C50构成的平面叶栅的不可压缩流动和平面超声速缩放喷管进行了计算。结果表明,本方法有较好的收敛性和准确性,能够适用于从亚音速到超音速的流动场合,有一定实用价值。 

NUMERICAL STUDY OF VISCOUS FLOWS IN COMPLEX GEOMETRIES

The program SIMPLEC has been adopted to calculate the viscous flows at all Mach numbers inside a plane cascad and nozzle.In order to tread both incompressible and compressible flows,pressure is chosen as a primary dependent variable in preference to density.The effect of the pressure on the density is implicitly included in the pressure correction equation.Further,the covariant velocity components are chosen as the dependent variables in the momentum equations,which makes the pressure velocity coupling relatively easy to handle.Comparison of the calculated results with the experimental data show that the present method exibits much better stability and covergence behavior,and is applicable to a variety of the incompressible and compressible flows,ranging from subsonic to supersonic.