SST湍流模型在高超声速绕流中的改进

Abstract

Abstract:

An improved shear stress transport (SST) turbulence model is proposed for hypersonic flows in this study which allows for corrected coefficients. A numerical scheme is established by making use of the improved total variation diminishing (TVD) scheme and by applying an implicit scheme to the negative source terms of the turbulence model. Hypersonic flat-plate boundary-layer flows and hypersonic compression ramp flows marked with separation, reattachment and shock/boundary layer interactions are then computed. A comparison between the computational results, the experimental results and the semi-empirical formulations shows that the ratio of Reynolds shear stress and turbulent kinetic energy is not a constant for hypersonic flows. For flows with adverse pressure gradients, shock-wave/turbulent-boundary interaction and separation, calculation results of wall pressures, friction coefficients and wall heat transfer rate distributions using the improved model and established scheme agree better with the experimental results than those using the original SST model.

Key words: turbulence model, numerical simulation, hypersonic, shock wave, boundary layer, heat flux

CLC Number:

V211.3

LIU Jingyuan. An Improved SST Turbulence Model for Hypersonic Flows[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012, 33(12): 2192-2201.

References

[1] Smits A J, Martin M P, Girimaji S. Current status of ba-sic research in hypersonic turbulence. AIAA-2009-151, 2009.

[2] Sun S, Zhang H, Cheng K, et al. The full flowpath analysis of a hypersonic vehicle. Chinese Journal of Aeronautics, 2007, 20: 385-393.

[3] Wilcox D C. Turbulence modeling for CFD. California: DCW Industries Inc., 2006: 239-249.

[4] Chassaing P. The modeling of variable density turbulent flows: a review of first-order closure schemes. Flow, Turbulence and Combustion, 2001, 66: 293-332.

[5] Shyy W, Krishnamurty V S. Compressibility effects in modeling complex turbulent flows. Progress in Aerospace Sciences, 1997, 33: 587-645.

[6] Taulbee D, vanOsdol J. Modeling turbulent compressible flows: the mass fluctuating velocity and squared density. AIAA-1991-524, 1991.

[7] Lejeune C, Kourta A, Chassaing P. Modelling of high speed turbulent flows. AIAA-1996-2041, 1996.

[8] Roy C J, Blottner F G. Review and assessment of turbulence models for hypersonic flows. Progress in Aerospace Sciences, 2006, 42: 469-453.

[9] Dong M, Zhou H. The improvement of turbulence modeling for the aerothermal computation of hypersonic turbulent boundary layers. Science China Physics, Mechanics & Astronomy, 2010, 53(2): 369-379.

[10] Menter F R. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal, 1994, 32(8): 1598-1605.

[11] Liu J Y, Li C X. Comparison of two-equation turbulent models for hypersonic flow simulations. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(10): 1131-1135. (in Chinese) 刘景源, 李椿萱. 高超声速二方程湍流模型的数值模拟对比. 北京航空航天大学学报, 2007, 33(10): 1131-1135.

[12] Wilcox D C. Reassessment of the scale-determining equation for advanced turbulence models. AIAA Journal, 1988, 26(11): 1299-1310.

[13] Wilcox D C. Formulation of the k-ω turbulence model revisited. AIAA Journal, 2008, 46(11): 2823-2838.

[14] Settles G S, Dodson L J. Hypersonic shock/boundary-layer interaction database. NASA-CR-177577, 1991.

[15] White F M. Viscous fluid flow. Wei Z L, Zhen S M, translated. Beijing: National Mechanics Industry Press, 1982: 587-588, 637. (in Chinese) White F M. 粘性流体动力学. 魏中磊, 甄思淼, 译. 北京: 机械工业出版社, 1982: 587-588, 637.

An Improved SST Turbulence Model for Hypersonic Flows

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