引入动力模式的DDES模型及其在大分离流动中的模拟应用
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摘要
该文研究了引入LES模型中的动力模式的DDES模型在大分离流动中的模拟应用。引入动力模式的DDES模型(动力DDES模型)根据流场特性动态地决定模型系数,理论上能够捕捉到更多的湍流小尺度运动。为了验证动力DDES模型的模拟表现,分别应用动力DDES模型和DDES模型对雷诺数Re=3900的三维圆柱绕流和雷诺数Re=22000的三维方柱绕流进行了数值模拟,比较分析了这两种模型计算的时均流场特征和瞬时流场特征。结果表明,引入动力模式对DDES模型计算的流场特征有一定的改善,同时动力DDES模型可以模拟更精细的瞬时流场湍流结构。
This paper investigates the applications of DDES model with dynamic modelling, which is introduced from LES sub-grid model, in simulating massively separated flows. The DDES model with dynamic modelling determines the model coefficients according to the characteristics of flow field. Hence, it can capture smaller scale turbulent motions than DDES in theory. To validate the performance of dynamic DDES in simulating massively separated flows, 3D flows around a circular cylinder at Reynold number Re=3900 and a square cylinder at Reynold number Re=22000 are simulated. The time-averaged results and the instantaneous results predicted by these two models are compared and analyzed. The results show that dynamic modelling can improve the performance of DDES in predicting flow field characteristics. Meanwhile, dynamic DDES can capture finer instantaneous turbulence structures.
This paper investigates the applications of DDES model with dynamic modelling, which is introduced from LES sub-grid model, in simulating massively separated flows. The DDES model with dynamic modelling determines the model coefficients according to the characteristics of flow field. Hence, it can capture smaller scale turbulent motions than DDES in theory. To validate the performance of dynamic DDES in simulating massively separated flows, 3D flows around a circular cylinder at Reynold number Re=3900 and a square cylinder at Reynold number Re=22000 are simulated. The time-averaged results and the instantaneous results predicted by these two models are compared and analyzed. The results show that dynamic modelling can improve the performance of DDES in predicting flow field characteristics. Meanwhile, dynamic DDES can capture finer instantaneous turbulence structures.
引文
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[3]SPALART P R,DECK S,SHUR M L,et al.A new version of detached-eddy simulation,resistant to ambiguous grid densities[J].Theoretical and Computational Fluid Dynamics,2006,20(3):181-195.
[4]SMAGORINSKY J.General circulation experiments with the primitive equations.I.The basic experiment[J].Monthly Weather Review,1963,91(3):99-164.
[5]CLARK R A,FERZIGER J H,REYNOLDS W C.Evaluation of subgrid-scale models using an accurately simulated turbulent flow[J].Journal of Fluid Mechanics,1979,91:1-16.
[6]GERMANO M.Turbulence:the filtering approach[J].Journal of Fluid Mechanics,1992,238:325-336.
[7]MENEVEAU C,KATZ J.Scale-invariance and turbulence models for large-eddy simulation[J].Annual Review of Fluid Mechanics,2000,32(1):1-32.
[8]MOUSSAED.C,WORNOM S,SALVETTI M V,et al.Impact of dynamic subgrid-scale modeling in variational multiscale large-eddy simulation of bluff-body flows[J].Acta Mechanica,2014,225(12):3309-3323.
[9]YIN Z,REDDY K R,DURBIN P A.On the dynamic computation of the model constant in delayed detached eddy simulation[J].Physics of Fluids,2015,27(2):4-8.
[10]HE C X,LIU Y,YAVUZKURT S.A dynamic delayed detached-eddy simulation model for turbulent flows[J].Computers&Fluids,2017,146:174-189.
[11]STRELETS M.Detached eddy simulation of massively separated flows[C].AIAA Aerospace Sciences Meeting and Exhibition,Reno,USA,2001:0879.
[12]MENTER F R.Two-equation eddy-viscosity turbulence models for engineering applications[J].AIAA Journal,2012,32(8):1598-1605.
[13]MENTER F R,KUNTZ M,LANGTRY R.Ten years of industrial experience with the SST turbulence model[J].Turbulence,Heat and Transfer,2003,4(1):625-632.
[14]KIM W W,MENON S.A new dynamic one-equation subgrid-scale model for large eddy simulation[C].AIAA Aerospace Sciences Meeting and Exhibition,Reno,USA,1995.
[15]KRAVCHENKO A G,MOIN P.Numerical studies of flow over a circular cylinder at????3900[J].Physics of Fluids,2000,12(2):403-417.
[16]PARNAUDEAU P,CARLIER J,HEITZ D,et al.Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3900[J].Physics of Fluids,2008,20(8):085101.
[17]HUNT J C R,WRAY A A,MOIN P.Eddies,streams,and convergence zones in turbulent flows[R].Center for Turbulence Research Report CTR-S88,Stanford University,USA,1988.
[18]NORBERG C.Flow around rectangular cylinders:Pressure forces and wake frequencies[J].Journal of Wind Engineering&Industrial Aerodynamics,1993,49:187-196.
[19]SCHMIDT S.Grobstruktursimulation turbulenter str?mungen in komplexen geometrien und bei hohen Reynoldszahlen[C].Mensch Mensch&Buch-Verlag,Berlin,Germany,2000.
[20]LYN D A,EINAV S,RODI W,et al.A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder[J].Journal of Fluid Mechanics,1995,304:285-319.
[21]LIM H,LEE S.Flow control of circular cylinders with longitudinal grooved surfaces[J].AIAA Journal,2002,40(10):2027-2035.