两种k-ω型湍流模型在无网格方法中的应用研究  

Application and analysis of two k-ω type turbulence models in meshless method

作　　者：蔡晓伟[1] 谭俊杰[1] 王园丁[1] 任登凤[1] WANG Huasheng 石清[3] 

机构地区：[1]南京理工大学能源与动力工程学院,江苏南京210094 [2]伦敦玛丽皇后大学材料科学与工程学院 [3]中国空气动力研究与发展中心,四川绵阳621000

出　　处：《空气动力学学报》2014年第5期654-659,667,共7页Acta Aerodynamica Sinica

基　　金：国家自然科学基金(11072114)

摘　　要：基于在高度各向异性点云结构中取得良好结果的点云重构技术,采用移动最小二乘无网格法解耦计算了k-ω型湍流模型方程和雷诺平均N-S方程(RANS),实现了对湍流流动的数值模拟。通过对NACA0012翼型、RAE2822翼型的绕流以及后向台阶大分离流动的数值模拟,比较分析了k-ωSST(Shear Stress Transport)和k-ωTNT(Turbulent/Non-Turbulent)两种模型的湍流预测能力。结果表明:对弱逆压梯度情况下的湍流,两者具有相当的预测能力;而k-ωSST较k-ωTNT具有更好的激波捕捉能力。对于大分离流动,两种模型较实验数据均存在一定差异,但总体趋势吻合良好。In order to solve k-ω type turbulence model equations and Reynolds-averaged Navier-Stokes e-quations （RANS）,cloud reconstruction technology,which can obtain well results from high aspect radio ani-sotropic cloud of points,is adopted in moving least squares meshless method.With the cloud reconstruction technique and the meshless method,it is realistic to simulate turbulence flows.The turbulence prediction a-bilities of the k-ω SST （Shear Stress Transport）and the k-ω TNT （Turbulent Non Turbulent）modes are demonstrated on a number of cases including NACA0012 airfoil,RAE2822 airfoil and backward-facing step. It can be found that：for weak advanced pressure gradient flows,the two models have the same ability for prediction;while in shock introduced separation turbulence flows,the SST model show better predicted abil-ity of shock capture than TNT model;for large scale separation flows,there are some differences between the results of the two models and the experimental data,while the overall trends are in good agreement with the experimental data.

关 键 词：各向异性点云 点云重构 移动最小二乘 无网格法 湍流模型 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]