间断Galerkin方法求解跨音压气机转子流场  

Discontinuous Galerkin Method for Simulation of Flowfield in a Transonic Compressor Rotor

作　　者：奉凡[1] 郝增荣[1] 顾春伟[1] 

机构地区：[1]清华大学热能工程系热科学与动力工程教育部重点实验室,北京100084

出　　处：《工程热物理学报》2012年第1期39-42,共4页Journal of Engineering Thermophysics

基　　金：国家重点基础研究发展计划资助(No.2007CB210105);教育部博士点基金资助(No.20090002110052)

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。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.

关 键 词：间断GALERKIN方法 湍流模拟 SA模型 跨音转子 

分 类 号：O354[理学—流体力学]