五种湍流涡粘模型在二维方柱绕流数值模拟中的对比研究  

Comparison of five eddy viscosity turbulence models in numerical simulation of flow over a two-dimensional square cylinder

作　　者：张显雄 张志田[1] 张伟峰 陈政清[1] ZHANG Xianxiong;ZHANG Zhitian;ZHANG Weifeng;CHEN Zhengqing(Wing Engineering Research Center of Hunan University,Changsha　410082,China)

机构地区：[1]湖南大学工程试验研究中心,湖南长沙410082

出　　处：《空气动力学学报》2018年第2期339-349,共11页Acta Aerodynamica Sinica

基　　金：国家自然科学基金(51178182;51578233)

摘　　要：为研究不同雷诺时均Navier-Stokes(RANS)模型在求解钝体绕流场的差异,采用五种两方程湍流涡粘模型计算了二维方柱的绕流场(雷诺数Re=22 000),得到了不同湍流模型在不同网格离散方案下的方柱气动力与流场特性。结合以往文献数据,通过对比不同湍流模型计算结果的差异,揭示了不同湍流模型的特点。研究结果表明:网格离散方案对方柱绕流数值模拟结果有重要影响;RNGk-ε湍流模型的计算效率最高,SSTk-ω湍流模型的计算效率最低;Standard k-ε湍流模型的计算结果准确程度整体弱于其余湍流模型;RNGk-ε湍流模型、Realizable k-ε湍流模型与Standard k-ω湍流模型的计算结果大致相当,较接近大涡模拟结果;SSTk-ω湍流模型的模拟结果优于其余湍流模型,其尾流区速度场与试验结果吻合较好;两方程湍流模型计算的二维方柱绕流结果与试验结果以及大涡模拟结果相比,存在不可忽略的差异。In order to investigate differences of RANS turbulence models on solving flow over bluff bodies,flow past a two-dimensional square cylinder at Re=22 000 is simulated,and results are obtained respectively by using five two-equation Eddy Viscosity Turbulence Models.By comparing with available data and comparing between each other,the advantages as well as weaknesses of these models are revealed.It is found that the results are significantly affected by the employed meshes.The RNG k-εmodel is of the highest efficiency while the SST k-ωturbulence model is of the worst.The results of Standard k-εturbulence model are generally worse than those of other models.The results from RNG k-ε,realizable k-εand standard k-ωmodels are very close to those from the large-eddy-simulation.The SST k-ωmodel yields better numerical results than the other models,and its flow field properties in the wake fit experimental results well.However,compared with results from the experiment and the large-eddy-simulation,un-negligible differences can be found in the results of the five models.

关 键 词：气动力 湍流模型 数值模拟 方柱 统计量 

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]