跨音涡轮中三维流动的数值试验

 本文从积分型的基本方程组出发,以我们的关于平面叶栅和任意旋成面叶栅的工作为基础,将文献（3、4）中的计算方案推广到三维流动情况。编制了相应的计算机程序,进行了一些数值试验,得到了初步的计算结果。 数值试验表明,拟三维计算结果可以导致相当大的误差,从而说明了完全三维流动计算的必要性。另一方面,如果取2000个左右的计算点,则在国产的013机上算一个例子,约需100分钟。从实际应用的观点来看也是可行的。

NUMERICAL TESTS OF THREE-DIMENSIONAL FLOW IN A TRANSONIC TURBINE

This paper applied the finite volume time-marching method to solving fully three-dimensional transonic flow in turbomachinery.First, characteristic properties of the governing equations in the rotational coordinate system are analyzed. Boundary conditions are also discussed. Then, the computational scheme is formulated from governing equations in the integral form. Essentially, this scheme is an extention of our computational scheme （see 3, 4]） for flow over a plane cascade and cascades to general surface of revolution to fully three-dimensional flow.The advantages of this method are listed as follows;1.It is easily applied to problems with complex geometry.2.Reasonable accuracy can be attained even with a coarse grid.The method has been programmed and some numerical tests have been made.The numerical tests show that the results of fully three-dimensional flow are very close to the corresponding results of plane cascade when the height of the blade is small. They almost coincide with experimental data. Therefore this method appears correct.The numerical tests also demonstrate that the effect of rotation is small, especially it has almost No influence on the Mach number distribution on the pressure surface.Comparison between quasi-three-dimensional and fully three-dimensional solutions in turbomachinery indicates that the quasi-three-dimensional assumptions are possible to lead to significant errors. This confirms the necessity of fully three-dimensional calculation.