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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NASA Rotor37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。
In this paper, the discontinuous Galerkin method is used to solve the Reynolds-averaged Navier-Stokes equations and the SA turbulence model equations. The Roe format is used to calculate the viscous flux. The mixed format is used to solve the gradient in viscous flux. To prevent numerical oscillations in transonic flow field calculations, TVD limiters and positive corrections were used. The variable field flow field of the transonic rotor NASA Rotor37 at the design speed was calculated and the good agreement with the experimental results was obtained. It shows that the DG method has broad application prospects in the flow calculation of the impeller.