中文摘要：

本文采用间断Galerkin方法求解雷诺平均N—S方程和SA湍流模型方程，采用Roe格式计算无黏通量，混合格式求解黏性通量中的梯度。为防止跨音速流场计算中的数值振荡，采用了TVD限制器和正性修正。计算了跨音速转子NASARotor37在设计转速下的变工况流场，得到了与实验吻合良好的结果，表明DG方法在叶轮机械内部流动计算中具有广阔的应用前景。

英文摘要：

Discontinuous Galerkin Method （DGM） Stokes equations and SA turbulence model equation was applied to solve Reynolds-averaged Navier- Inviscid flux＇ was evaluated using Roe scheme and the gradients in viscous terms were solved by a mixed formulation. TVD limiter and a positivity correction procedure were adopted to suppress spurious oscillations in the simulation of transonic flowfield. The flowfields in transonic compressor NASA rotor 37 were simulated for various operating conditions at design rotational speed. The numerical results compared well with experimental ones, which demonstrated the feasibility and potential of DGM for the simulation of flowfield in turbomachinerv.