Comparative Numerical Studies of Flow Past a Cylinder at Reynolds Number 3 900
-
摘要: 重点采用DDES和CLES研究基于Reynolds(雷诺)数3 900的圆柱绕流.大量已有实验和数值研究结果表明:圆柱后缘流动结构和回流区长度与数值空间离散格式息息相关.基于此考虑,选用了一个优化格式并通过典型的简单湍流流动和强激波流动验证了格式对多尺度结构和激波的捕捉能力.然后,分别采用DDES和CLES对基于Reynolds数3 900的圆柱进行数值模拟.通过对比圆柱表面压力分布、圆柱表面平均速度型和圆柱尾迹区的时均脉动量,发现CLES相比于DDES与实验值吻合更好.从瞬时流场来看, DDES和CLES都能捕捉丰富的流场结构,此外,CLES在物面附近区域包含更多微小脉动.最后,尽管CLES对时均脉动捕捉好于DDES,但是程序实现更加复杂.Abstract: The flow past a cylinder at a Reynolds number of 3 900 is addressed with the delayed DES (DDES) and constrained large-eddy simulation (CLES). The experiments and numerical simulations in this case have been extensively analyzed in previous researches. It is commonly recognized that the flow structures and recirculation length are closely related to the dispersion and dissipation properties of the scheme. Under such consideration, an optimized scheme is chosen and validated for several typical flows with multi-scale structures and strong shocks. Then, the DDES and CLES are performed to obtain pressure distribution, mean velocity profiles and the turbulence statistics in the near wake. By comparing the results from calculations with the experimental data, it is found that the averaged quantities from the CLES agree slightly better with the experimental data than those from the DDES. In the instantaneous flow field, complicated structures are captured by both the DDES and the CLES. A significant difference between them is that small-scale motions can be observed in the near-wall region for the CLES. Lastly, though the CLES predicts the mean statistics slightly better, the implementation of the CLES is much more complex than that of the DDES.
-
Key words:
- cylinder /
- DDES /
- CLES /
- optimized scheme /
- OMUSCL2
-
[1] Lourenco L M, Shih C. Characteristics of the plane turbulent near wake of a cylinder[Z]. A particle image velocimetry study,1993. [2] Ong L, Wallace J. The velocity field of the turbulent very near wake of a circular cylinder[J]. Experiments in Fluids,1996,20(6): 441-453. [3] Parnaudeau P, Carlier J, Heitz D, Lamballais E. Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3 900[J]. Physics of Fluids,2008,20(8): 085101. [4] Beaudan P, Moin P. Numerical experiments on the flow past a circular cylinder at sub-critical Reynolds number[R]. Technical report, CTR Annual Research Briefs, NASA Ames/Stanford University, 1994. [5] Mittal R, Moin P. Suitability of upwind-biased finite difference schemes for large-eddy simulation of turbulent flows[J]. AIAA Journal,1997,35(8): 1415-1417. [6] Breuer M. Large eddy simulation of the subcritical flow past a circular cylinder: numerical and modeling aspects[J]. International Journal for Numerical Methods in Fluids,1998,28(9): 1281-1302. [7] Kravchenko A G, Moin P. Numerical studies of flow over a circular cylinder at ReD=3900[J]. Physics of Fluids,2000,12(2): 403-417. [8] Spalart P R, Jou W H, Strelets M, Allmaras S. Comments on the feasibility of LES for wings, and on hybrid RANS/LES approach[C]//Advances in DNS/LES.1997. [9] Spalart P R, Deck S, Shur M L, Squires K D, Strelets M Kh, Travin A. A new version of detached-eddy simulation, resistant to ambiguous grid densities[J].Theoretical & Computational Fluid Dynamics,2006,20(3):181-195. [10] CHEN Shi-yi, XIA Zhen-hua, PEI Su-yang, WANG Jian-chun. Reynolds-stress-constrained large-eddy simulation of wall-bounded turbulent flows[J]. Journal of Fluid Mechanics,2012,703(1): 1-28. [11] LENG Yan, LI Xin-liang, FU De-xun, MA Yan-wen. Optimization of the MUSCL scheme by dispersion and dissipation[J]. Science China: Physics Mechanics & Astronomy,2012,55(5): 844-853. [12] Spalart P, Allmaras S. A one-equation turbulence model for aerodynamic flows[J]. La Recherche Aérospatiale,1994,439(1): 5-21. [13] Deck S. Zonal-detached-eddy simulation of the flow around a high-lift configuration[J].AIAA Journal,2005,43(11): 2372-2384.[14]SHI Jing, ZHANG Yong-tao, SHU Chi-wang. Resolution of high order WENO schemes for complicated flow structures[J]. Journal of Computational Physics,2003,186(2): 690-696. [14] Drikakis D, Fureby C, Grinstein F F, Youngs D. Simulation of transition and turbulence decay in the Taylor-Green vortex[J]. Journal of Turbulence,2007,8(20): 577-580. [15] Franke J, Frank W. Large eddy simulation of the flow past a circular cylinder at ReD=3900[J].Journal of Wind Engineering & Industrial Aerodynamics,2002,90(10): 1191-1206. [16] Dong S,Karniadakis G E, Ekmekci A, Rockwell D. A combined direct numerical simulation—particle image velocimetry study of the turbulent near wake[J]. Journal of Fluid Mechanics,2006,569(12):185-207. [17] Ma X, Karamanos G S, Karniadakis G. Dynamics and low-dimensionality of a turbulent near wake[J]. Journal of Fluid Mechanics,2000,410(4):29-65. [18] Norberg C. Effects of Reynolds number and low-intensity freestream turbulence on the flow around a circular cylinder[R]. Publikation Nr 87/2, 1987.
点击查看大图
计量
- 文章访问数: 1132
- HTML全文浏览量: 145
- PDF下载量: 1061
- 被引次数: 0