Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
권호 표지

INFLUENCE OF EDDY VISCOSITY COEFFICIENT ON ${\kappa}-{\varepsilon}$ TURBULENCE MODEL FOR SUPERSONIC BASE FLOW

초음속 기저부 유동에서 ${\kappa}-{\varepsilon}$ 난류 모델에 대한 와점성 계수의 영향

  • 박수형 (건국대학교 항공우주정보시스템공학과) ;
  • 사정환 (건국대학교 대학원 항공우주정보시스템공학과) ;
  • 김지웅 (건국대학교 대학원 항공우주정보시스템공학과) ;
  • 권장혁 (한국과학기술원 항공우주공학) ;
  • 김창주 (건국대학교 항공우주정보시스템공학과)
  • Published : 2008.09.30
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Abstract

A supersonic base flow is computed to investigate the effect of the eddy viscosity coefficient to the linear ${\kappa}-{\varepsilon}$ turbulence models. Slight modifications to the eddy viscosity coefficient, which are based on the realizability condition, are given to the Launder-Sharma turbulence model so that present models satisfy the realizability condition. Numerical results for supersonic base flow show that turbulence models with the weaky-nonlinear eddy viscosity coefficient can lead to reasonable enhancements in the prediction of the velocity and turbulent kinetic energy profiles.

Keywords

References

  1. 1993, Herrin, J.L. and Dutton, J.C., "Supersonic Base Flow Experiments in the Near Wake of a Cylindrical Afterbody," AIAA Paper 93-2924
  2. 1994, Sahu, J., "Numerical Computations of Supersonic Base Flow with Special Emphasis on Turbulence Modeling," AIAA Journal, Vol.32, No.7, pp.1547-1549
  3. 1997, Krishnamurty, V.S. and Shyy, W., "Study of Compressibility Modifications to the $k-{\varepsilon}$ Turbulence Model," Physics of Fluids, Vol.9, No.9, pp.2769-2788 https://doi.org/10.1063/1.869468
  4. 1992, Sarkar, S., "The Pressure-Dilatation Correlation in Compressible Flows," Physics of Fluids A, Vol.4, pp.2674-2682 https://doi.org/10.1063/1.858454
  5. 2003, 박창환, 박승오, "Ristorcelli의 압축성 난류 모형을 이용한 초음속 유동의 계산," 한국전산유체공학회지, 제8권, 제 3호, pp.1-6.
  6. 1997, Ristorcelli, J.R., "A Pseudo-Sound Constitutive Relationship for the Dilatational Covariances in Compressible Turbulence," Journal of Fluid Mechanics, Vol.347, pp.37-70 https://doi.org/10.1017/S0022112097006083
  7. 2001, Merci, B., De Langhe, C., Vierendeels, J. and Dick, E., "A Quasi-Realizable Cubic Low-Reynolds Eddy-Viscosity Turbulence Model with a New Dissipation Rate Equation," Flow, Turbulence and Combustion, Vol.66, pp.133-157 https://doi.org/10.1023/A:1017955003995
  8. 2006, Celic, A. and Hirschel, E.H., "Comparison of Eddy-Viscosity Turbulence Models in Flows with Adverse Pressure Gradient," AIAA Journal, Vol.44, No.10, pp.2156-2169 https://doi.org/10.2514/1.14902
  9. 1983, Coakley, T. J., "Turbulence Modeling Methods for the Compressible Navier-Stokes Equations," AIAA Paper 83-1693
  10. 1996, Durbin, P.A., "On the $k-{\varepsilon}$ Stagnation Point Anomaly," International Journal of Heat and Fluid Flow, Vol.17, No.1, pp.89-90 https://doi.org/10.1016/0142-727X(95)00073-Y
  11. 2002, Thivet, F., "Lessons Learned from RANS Simulations of Shock-Wave/Boundary-Layer Interactions," AIAA Paper 2002-0583
  12. 2004, Park, S.H. and Kwon, J.H., "Implementation of $k-{\omega}$ Turbulence Models in an Implicit Multigrid Method," AIAA Journal, Vol.42, No.7, pp.1348-1357 https://doi.org/10.2514/1.2461
  13. 1994, Menter, F.R., "Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications," AIAA Journal, Vol.32, No.8, pp.1598-1605 https://doi.org/10.2514/3.12149
  14. 1967, Bradshaw, P., Ferriss, D.H. and Atwell, N.P., "Calculation of Boundary-Layer Development Using the Turbulent Energy Equation," Journal of Fluid Mechanics, Vol.28, No.3, pp.593-616 https://doi.org/10.1017/S0022112067002319
  15. 1974, Launder, B.E. and Sharma, B.I., "Application of the Energy Dissipation Model of Turbulence to the Calculation of Flows near a Spinning Disk," Letters in Heat and Mass Transfer, Vol.1, pp.131-138 https://doi.org/10.1016/0094-4548(74)90150-7
  16. 1996, Craft, T.J., Launder, B.E. and Suga, K., "Development and Application of a Cubic Eddy-Viscosity Model of Turbulence," International Journal of Heat and Fluid Flow, Vol.17, pp.108-115 https://doi.org/10.1016/0142-727X(95)00079-6
  17. 2000, Barakos, G. and Drikakis, D., "Numerical Simulation of Transonic Buffet Flows using Various Turbulence Closures," International Journal of Heat and Fluid Flow, Vol.21, pp.620-626 https://doi.org/10.1016/S0142-727X(00)00053-9
  18. 2001, Thivet, F. Knight, D.D., Zheltovodov, A.A. and Maksimov, A.I., "Insights in Turbulence Modeling for Crossing-Shock-Wave/Boundary-Layer Interactions," AIAA Journal, Vol.39, No.6, pp.985-995 https://doi.org/10.2514/2.1417
  19. 2003, Park, S.H., and Kwon, J.H., "On the Dissipation Mechanism of Godunov-Type Schemes," Journal of Computational Physics, Vol.188, No.2, pp.524-542 https://doi.org/10.1016/S0021-9991(03)00191-8
  20. 1998, Wilcox, D.C., "Turbulence Modeling for CFD, 2nd edition," DCW Industries, La Canada, CA