均匀各向同性湍流的脱体涡数值模拟  

Detached eddy simulation of homogeneous isotropic turbulence

作　　者：吴晶峰[1] 宁方飞[1] 

机构地区：[1]北京航空航天大学能源与动力工程学院,北京100191

出　　处：《北京航空航天大学学报》2011年第5期589-594,共6页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家自然科学基金资助项目(50506001)

摘　　要：采用脱体涡模拟方法对均匀各向同性湍流进行了数值模拟,并与Comte-Bel-lot实验测量结果进行了对比,验证了该文的脱体涡模拟方法对均匀各向同性湍流模拟的可靠性.初始速度场的生成采用Rogallo所提出的构造方法,初始湍能谱满足Von Karman波谱分布;在对流输运项的选择方面,分别采用二阶中心型格式、四阶偏斜对称型中心格式和迎风型低耗散通量分裂格式,考察它们在均匀各向同性湍流模拟中的计算精度和适用性.同时,通过改变计算域大小以及脱体涡模拟方法中的模型常数,达到能谱截断波数的改变,考察它对各向同性湍流计算的能谱以及能谱截断处小尺度涡能量积累问题的影响.Detached eddy simulation was used to simulate decaying homogeneous isotropic turbulence.Simulation results were compared to the experimental data of Comte-Bellot and Corrsin,showing that the detached eddy simulation of homogeneous isotropic turbulence was acceptable.The method proposed by Rogallo was used to construct the initial velocity field and the generated turbulence field fit the Von Karman spectrum.In the choosing of convective flux scheme,second-order centered scheme and fourth-order skew-symmetric scheme and upwind low-diffusion flux-splitting scheme were used respectively to check the numerical dissipation and suitability in the detached eddy simulation of homogeneous isotropic turbulence.Meanwhile,the cutoff wave number was changed with the varying of computational region and turbulence model parameters.In this way,the simulation results shows how energy spectra and energy accumulation for small scales are influenced by the variety of the cutoff wave number.

关 键 词：湍流 能量耗散 能谱分析 

分 类 号：V211.1[航空宇航科学与技术—航空宇航推进理论与工程]