LIU Yue, GUAN Xiaorong, XU Cheng. Assessment of SAS and PANS models in simulations of flow over a circular cylinder[J]. 2019, 37(4): 530-540.DOI: 10.7638/kqdlxxb-2017.0072.
Assessment of SAS and PANS models in simulations of flow over a circular cylinder
=3900 is simulated using shear stress transport (SST) model
scale-adaptive simulation (SST-SAS) model and partially averaged Navier-Stokes (PANS) model with two various
f
k
methods. The SAS and PANS models as recently proposed hybrid strategies are significantly investigated. The model performance is assessed by a detailed comparison of p
redictions regarding the turbulence characteristics
the aerodynamic characteristics
and the distribution of eddy-viscosity. Moreover
the grid-sensitivity of different models is also investigated using two grids. From the assessment
it is confirmed that the SAS and PANS models have the abilities to calculate the small-scale motions
and both models can be employed to predict the unsteady characteristics of wake vortices advantageously. Both the two PANS models can capture complex flow structures and physics mechanism; and the SAS model using the
L
vk
scale with features of local-adaptive and grid-independent can predict the eddy-viscosity reasonable. Therefore
the SAS model reproduce the shear layers and recirculation zone more accurately. Both the two PANS methods appear obvious grid-dependency
and the issue of modeled-stress depletion (MSD) is evoked with the fine grid. The
f
k
function with DES method has a simple structure and provides a reasonable
f
k
distribution
while the
f
k
function with tanh method obtains a low level
f
k
distribution in the wake area
corresponding to its inadequate capabilities in adjusting the solution scales of separated flows.
关键词
Keywords
references
WU Z N. Basic principle of computational fluid dynamics[M]. Beijing:Science Press, 2003. (in Chinese)
ZHANG Z S, CUI G X, XU C X. Theory and application of LES modeling[M]. Peking:Tsinghua University Press, 2008. (in Chinese)
SPALART P R. Detached-eddy simulation[J]. Annual Review of Fluid Mechanics, 2009, 41(1):203-229.
MENTER F R, KUNTZ M, BENDER R. A scale-adaptive simulation model for turbulent flow predictions. AIAA-2003-767[R]. Reston: AIAA, 2003.
MENTER F R, EGOROV Y. A scale-adaptive simulation model using two-Equation models. AIAA-2005-1095[R]. Reston: AIAA, 2005.
MENTOR F R, EGOROV Y. The scale-adaptive simulation method for unsteady turbulent flow predictions. Part 1:theory and model description[J]. Flow, Turbulence and Combustion, 2010, 85(1):113-138.
EGOROV Y, MENTOR F R. The scale-adaptive simulation method for unsteady turbulent flow predictions. Part 2:application to complex flows[J]. Flow, Turbulence and Combustion, 2010, 85(1):139-165.
GIRIMAJI. Partially-averaged Navier-Stokes model for turbulence: implementation and validation. AIAA-2005-2502[R]. Reston: AIAA, 2005.
SPALART P R. A new version of detached-eddy simulation, resistant to ambiguous grid densities[J]. Theoretical Computational Fluid Dynamics, 2006, 20(3):181-195.
XIAO Z X, CHEN H X, ZHANG Y F. Study of delayed-detached eddy simulation with weakly nonlinear turbulence model[J]. Journal of Aircraft, 2006, 43(5):1377-1385.
XIAO L H, XIAO Z X, DUAN Z W, et al. Improved-delayed-detached-eddy simulation of cavity-induced transition in hypersonic boundary layer[J]. International Journal of Heat and Fluid Flow, 2015, 51:138-150.
XIAO Z X, LIU J, LUO K Y, et al. Investigation of flows around a rundimentary landing gear with advanced detached-eddy-simulation approaches[J]. AIAA Journal, 2013, 51(1):107-125.
XIAO Z X, LUO K Y, LIU J. Developments and applications of hybrid RANS-LES methods for wide-speed-range flows[J]. Acta Aerodynamica Sinica, 2017, 35(3):338-353. (in Chinese)
DU L, NING F F. Scale adaptive simulation of flows around a circular cylinder at high sub-critical Reynolds number[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(4):487-496. (in Chinese)
BAI J Q, WANG C, ZHANG Y. Application of a turbulence model based on von Karman length scale in steady and unsteady flow simulation[J]. Engineering Mechanics, 2014, 31(11):39-45. (in Chinese)
DU R F, YAN C, LUO D H. Assessment of PANS method for simulation of flow around tandem cylinders[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(8):1374-1380. (in Chinese)
XU J L, GAO G, YANG Y A. RANS/LES hybrid model based on local flow structure[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(11):2992-2999. (in Chinese)
LIU Z, YANG Y J, ZHOU W J, et al. Study of unsteady separation flow around airfoil at high angle of attack using hybrid RANS-LES method[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(2):372-380. (in Chinese)
NORBERG C. Effects of Reynolds number and a low-intensity free-stream turbulence on the flow around a circular cylinder[M]. Publication No. 87/2, Sweden: Department of Applied Thermodynamics and Fluid Mechanics, Chalmers University of Technology, 1987.
LOURENCO L M, SHIH C. Characteristics of the plane turbulent near wake of a circular cylinder: a particle image velocimetry study[Z]. (Private Communication), 1993.
PARNAUDEAU. Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3900[J]. Physics of Fluids, 2008, 20(8):1-14.
ONG, WALLACE. The velocity field of the turbulent very near wake of a circular cylinder[J]. Experiments in Fluids, 1996, 20:441-453.
KRAVCHENKO, MOIN. Numerical studies of flow over a circular cylinder at Re D =3900[J ] . Physics of Fluids, 2000, 12(2):403-417.
LYSENKO. Large-eddy simulation of the flow over a circular cylinder at Reynolds number 3900 using the OpenFoamToolbox[J]. Flow Turbulence Combust, 2012, 89:491-518.
LUO D H. Comparative assessment of PANS and DES for simulation of flow past a circular cylinder[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2014, 134:65-77.
ALESSANDRO. Detached-eddy simulations of the flow over a cylinder at Re =3900 using OpenFoam[J ] . Computers and Fluids, 2016, 136:152-169.
JEE K, SHARIFF K. Detached-eddy simulation based on the V 2 - f model[J ] . International Journal of Heat Fluid Flow, 2014, 46:84-101.
KIM. Large eddy simulation of turbulent flow past a circular cylinder in subcritical regime. AIAA-2006-1418[R]. Reston: AIAA, 2006.
TANG H, CHANG S N. Comparison of detached eddy simulation schemes on a subcritical flow around circular cylinder[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38(3):120294. (in Chinese)
MENTER F R. Two-equation eddy-viscosity turbulence models for engineering applications[J]. AIAA Journal, 1994, 32(8):1598-1605.
LAKSHMIPATHY, TOGITI. Assessment of alternative formulations for the specific-dissipation rate in RANS and variable-resolution turbulence models. AIAA-2011-3978[R]. Reston: AIAA, 2011.
DAVISON. The PANS k-ε model in a zonal hybrid RANS-LES formulation[J ] . International Journal of Heat Fluid Flow, 2014, 46:112-126.
ELMILIGUI. Numerical study of flow past a circular cylinder using RANS, Hybrid RANS/LES and PANS Formulations. AIAA-2004-495[R]. Reston: AIAA, 2004.
FRANKE. Large eddy simulation of the flow past a circular cylinder at Re =3900[J ] . Journal of Wind Engineering and Industrial Aerodynamics, 2002, 90(10):1191-1206.