Numerical Investigation on a Transition Prediction Model

SUN Zhen-xu; ZHAO Xiao-li; SONG Jing-jing; DU Te-zhuan

doi:10.3879/j.issn.1000-0887.2009.12.007

Volume 30 Issue 12

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(12): 1463-1472

SUN Zhen-xu, ZHAO Xiao-li, SONG Jing-jing, DU Te-zhuan. Numerical Investigation on a Transition Prediction Model[J]. Applied Mathematics and Mechanics, 2009, 30(12): 1463-1472. doi: 10.3879/j.issn.1000-0887.2009.12.007

Citation:

PDF( 2207 KB)

Numerical Investigation on a Transition Prediction Model

doi: 10.3879/j.issn.1000-0887.2009.12.007

1.
State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, P. R. China;

Received Date: 2008-05-05
Rev Recd Date: 2009-10-26
Publish Date: 2009-12-15

Abstract

Abstract

A new transition prediction model was introduced which coupled the intermittency effect into the turbulence transport equations and took the characteristics of fluid transition into consideration so as to mimic the exact process of transition.Test cases including two-dimensional incompressible plate and two-dimensional NACA0012 airfoil,and the performance of this transition model used in incompressible flow were studied.It was proved that the numerical results were well consistent with experimental data.Meanwhile the requirement of grid resolution for this transition model was also studied.
- transition,
- turbulent modeling,
- intermittency,
- grid resolution,
- skin friction

FullText(HTML)

References(19)

References

[1]	Jacobs R G,Durbin P A.Simulations of bypass transition[J].Journal of Fluid Mechanics,2001,428:185-212. doi: 10.1017/S0022112000002469
[2]	Mayle R E.Transition in a separation bubble[J].ASME Journal of Turbomachinery,1996,118(4):752-759. doi: 10.1115/1.2840931
[3]	Cebeci T,Stewartson K.On stability and transition in three-dimensional flows[J].AIAA Journal,1997,18(4):398-405.
[4]	Mack L M.Stability of three dimensional boundary layers on swept wings at transonic speeds[A].In:Zierep J,Oertel H,Eds.Proc IUTAM Symposium III[C].Tou-Louse:Springer-Verlag Press,1989,209-224.
[5]	Zheng X Q,Liu C Q,Liu F,et al.Turbulent transition simulation using the k-w model[J].International Journal for Numerical Methods in Engineering,1998,42(5):907-926. doi: 10.1002/(SICI)1097-0207(19980715)42:5<907::AID-NME393>3.0.CO;2-T
[6]	Dhawan S,Narasimha R.Some properties of boundary-layer flow during transition from laminar to turbulent motion[J].Journal of Fluid Mechanics, 1958,3(4):414-436.
[7]	Cho J R,Chung M K.A k--γ equation turbulence model[J].Journal of Fluid Mechanics,1992,237:301-322. doi: 10.1017/S0022112092003422
[8]	Menter F R.Transition modeling for general purpose CFD codes[J].Flow Turbulence Combust,2006,77(1/4):277-303. doi: 10.1007/s10494-006-9047-1
[9]	王亮,符松.一种适用于超音速边界层的湍流转捩模式[J].力学学报,2009,41(2):162-168.
[10]	CFD+[KG-*3]. + user manual.version 8.1.Metacomp Technologies[S]. Argoura Hills,CA,2009,12.
[11]	Goldberg U.Turbulence closure with a topography-parameter-free single equation model[J].Int J CFD,2003,17(1):27-38.
[12]	Launder B E，Sandham N D.Closure Strategies for Turbulent and Transitional Flows[M].Cambridge:Cambridge University Press,2002,9-46.
[13]	Batten P,Leschziner M A,Goldberg U C.Average-state Jacobians and implicit methods for compressible viscous and turbulent flows[J].Journal of Computational Physics,1997,137(1):38-78. doi: 10.1006/jcph.1997.5793
[14]	Chorin A J.A numerical method for solving incompressible viscous flow problems[J]. Journal of Computational Physics,1997,135(2):118-125. doi: 10.1006/jcph.1997.5716
[15]	Van Leer B,Lee W-T,Roe P L.Characteristic time-stepping or local reconditioning of the Euler equations[A].In:AIAA Computational Fluid Dynamics Conference[C].10th.Honolulu,HI,June 24-27,1991,Technical Papers (A91-40701 17-34).Washington D C:American Institute of Aeronautics and Astronautics,1991,260-282.
[16]	Weiss J M,Smith W A.Preconditioning applied to variable and constant density flows[J].AIAA Journal,1995,33(11):2050-2057. doi: 10.2514/3.12946
[17]	Vingeron D,Deliege G,Essers J A.Low Mach number local preconditioning for unsteady viscous finite volumes simulations on 3D unstructured grids[A].In:Wesseling P,Oate E,Périaux J,Eds.European Conference on Computational Fluid Dynamics(ECCOMAS CFD 2006),TU Delft:The Netherlands,2006.
[18]	Savill A M.By-pass transition using conventional closures[A].In:Launder B E,Sandham N D,Eds.Closure Strategies for Turbulent and Transitional Flows[C].Ch 17.Cambridge:Cambridge University Press,2002, 464-492.
[19]	Gregory N,O'Reilly C L. Low-speed aerodynamic characteristics of NACA0012 airfoil section,including the effects of upper-surface roughness simulating hoar frost[R]. TR,NPL AERO Rept 1308,England,UK:Middlesex,1970.