Fluid Mechanics and Flight Mechanics

A RANS/LES Hybrid Model Based on Local Flow Structure

  • XU Jinglei ,
  • GAO Ge ,
  • YANG Yan
Expand
  • 1. National Key Laboratory of Science and Technology on Aero-Engines Aero-thermodynamics, School of Energy and Power Engineering, Beihang University, Beijing 100191, China;
    2. State Key Laboratory of High-temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

Received date: 2013-11-11

  Revised date: 2014-01-16

  Online published: 2014-02-21

Supported by

National Natural Science Foundation of China (11002014)

Abstract

In order to overcome the inherent deficiency of the traditional Reynolds Averaged Navier-Stokes/large eddy simulation (RANS/LES) hybrid model, i.e., 'the bridging problem of RANS and LES', a discriminating function extracted from Vreman's subgrid-scale (SGS) model, which is used to describe flow regimes, is employed to formulate a new RANS/LES hybrid model. The model coefficients are calibrated by incompressible turbulent channel flows. The test cases include incompressible turbulent channel flows, stable-state supersonic boundary layers over a flat plate, flow past NACA4412 airfoil and flow past a circular cylinder at subcritical Reynolds numbers. This new model is not only able to solve the modeled-stress-depletion problem, but also greatly raises the accuracy when compared with the traditional RANS/LES hybrid approach, such as detached eddy simulation (DES) in predicting large-scale unsteadiness. Furthermore, the model can also solve the log-layer mismatch (LLM) problem when RANS/LES hybrid is employed as wall modeled LES, thus extending the ability of Vreman's LES model in dealing with coarse meshes. The accuracy is greatly improved.

Cite this article

XU Jinglei , GAO Ge , YANG Yan . A RANS/LES Hybrid Model Based on Local Flow Structure[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014 , 35(11) : 2992 -2999 . DOI: 10.7527/S1000-6893.2013.0522

References

[1] Spalart P R, Jou W H, Strelets M, et al. Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach[M]//Liu C, Liu Z. Advances in DNS/LES. Columbus, Ohio: Greyden Press, 1997.

[2] Hamba F. A hybrid RANS/LES simulation of turbulent channel flow[J]. Theoretical and Computational Fluid Dynamics, 2003, 16(5): 387-403.

[3] Ding J C, Wu Z C, Ju S J. Study of delayed eddy simulation methods[C]//Proceeding of 18th Annual Meeting of Beijing Society of Theoretical and Applied Mechanics, 2012: 47-48. (in Chinese) 丁举春, 吴宗成, 鞠胜军. 分离涡模拟方法的研究[C]//北京力学会第18届学术年会论文集, 2012: 47-48.

[4] Sun M B, Wang H B, Liang J H, et al. Evaluation of hybrid RANS/LES methodologies for complex turbulent flow simulations[J]. Aeronautical Computing Technique, 2011, 41(1): 24-33. (in Chinese) 孙明波, 汪洪波, 梁剑寒, 等. 复杂湍流流动的混合RANS/LES方法研究[J]. 航空计算技术, 2011, 41(1): 24-33.

[5] 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.

[6] Song K, Qiao Z D. Delayed RANS/LES method for high attack angle flow over multi-element airfoil[J]. Aeronautical Computing Technique, 2009, 39(3): 42-55. (in Chinese) 宋科, 乔志德. 多段翼型大迎角分离流动的Delayed RANS/LES 混合算法[J]. 航空计算技术, 2009, 39(3): 42-55.

[7] Wang H B, Sun M B, Wu H Y, et al. Improved DES-like method for simulation of turbulent flows[J]. Journal of Aerospace Power, 2011, 26(10): 2167-2173. (in Chinese) 汪洪波, 孙明波, 吴海燕, 等. 一种改进的类DES湍流模拟方法[J]. 航空动力学报, 2011, 26(10): 2167-2173.

[8] Xiao Z X, Fu S. Studies of the unsteady supersonic base flows around three after bodies[J]. Acta Mechanica Sinica, 2009, 25(4): 471-479.

[9] Shi Y P, Xiao Z L, Chen S Y. Constrained subgrid-scale stress model for large eddy simulation[J]. Physics of Fluids, 2008, 20(1): 011701.

[10] Vreman A W. An eddy-viscosity subgrid-scale model for turbulent shear flow: algebraic theory and applications[J]. Physics of Fluids, 2004, 16(10): 3670-3681.

[11] Moser R D, Kin J, Mansour N N. Direct numerical simulation of turbulent channel flow up to Re=590[J]. Physics of Fluids, 1999, 11(4): 943-945.

[12] Hoyas S, Jiménez J. Reynolds number effects on the Reynolds-stress budgets in turbulent channels[J]. Physics of Fluids, 2008, 20(10): 101511.

[13] Shur M L, Spalart P R, Strelets M K, et al. A hybrid RANS-LES approach with delayed-DES and wall-modelled LES capabilities[J]. International Journal of Heat and Fluid Flow, 2008, 29(6): 1638-1649.

[14] Gao H, Fu D X, Ma Y W, et al. Direct numerical simulation of supersonic turbulent boundary layer flow[J]. Chinese Physics Letters, 2005, 22(7): 1709-1712.

[15] Menter F R, Kuntz M. Adaption of eddy-viscosity turbulence models to unsteady separated flow behind vehicles[M]//McCallen R, Browand F, Ross J. The aerodynamics of heavy vehicles: trucks, busses and trains. Berlin: Springer Heidelberg, 2004: 339-352.

[16] Ma X, Karamanos G S, Karniadakis G E. Dynamics and low-dimensionality of a turbulence near wake[J]. Journal of Fluid Mechanics, 2000, 410: 29-65.

[17] Lourenco L M, Shih C. Characteristics of the plane turbulent near wake of a circular cylinder-A particle image velocimetry study. Private Communication[R]. 1993.

Outlines

/