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On the Assessment of Compressibility Effects of Two-Equation Turbulence Models for Supersonic Transition Flow with Flow Separation

  • Sung, Hong-Gye (School of Aerospace and Mechanical Engineering, Korea Aerospace University) ;
  • Kim, Seong-Jin (School of Aerospace and Mechanical Engineering, Korea Aerospace University) ;
  • Yeom, Hyo-Won (School of Aerospace and Mechanical Engineering, Korea Aerospace University) ;
  • Heo, Jun-Young (School of Aerospace and Mechanical Engineering, Korea Aerospace University)
  • Received : 2013.10.02
  • Accepted : 2013.12.20
  • Published : 2013.12.30

Abstract

An assessment of two-equation turbulence models, the low Reynolds k-${\varepsilon}$ and k-${\omega}$ SST models, with the compressibility corrections proposed by Sarkar and Wilcox, has been performed. The compressibility models are evaluated by investigating transonic or supersonic flows, including the arc-bump, transonic diffuser, supersonic jet impingement, and unsteady supersonic diffuser. A unified implicit finite volume scheme, consisting of mass, momentum, and energy conservation equations, is used, and the results are compared with experimental data. The model accuracy is found to depend strongly on the flow separation behavior. An MPI (Message Passing Interface) parallel computing scheme is implemented.

Keywords

References

  1. Forsythe J. R., Hoffmann K. A., and Suzen, Y. B., "Investigation of Modified Menter's Two-Equation Turbulence Models for Supersonic Applications", 37th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA 99-0873, 1999.
  2. Shirazi, S. A., and Truman, C. R., "Simple Turbulence Models for Supersonic and Hypersonic Flows: Bodies at Incidence and Compression Corners", 27th AIAA Aerospace Sciences Meeting, Reno, NV, AIAA 89-0669, 1989.
  3. De Feo, D. M., and Shaw, S. T., "Turbulence Modeling and Supersonic Base Flow", 45th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA 2007-1083, 2007.
  4. Chuang, C. C., and Chieng, C. C., "The Computations of Shock-Induced Separated Flows By The k-epsilon Model with Compressibility Modifications", 35th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA 97-0067, 1997.
  5. Matsuo, K., Miyazato, Y., and Kim, H. D., "Shock Train and Pseudo-Shock Phenomena in Internal Gas Flows", Progress in Aerospace Sciences, Vol. 35, No. 1, 1999, pp. 33-100. https://doi.org/10.1016/S0376-0421(98)00011-6
  6. Sarkar, S., Erlebacher, B., Hussaini, M., and Kreiss, H., "The Analysis and Modeling of Dilatational Terms in compressible Turbulence", Journal of Fluid Mechanics, Vol. 227, 1991, pp. 473-493. https://doi.org/10.1017/S0022112091000204
  7. Sarkar, S., "Modeling the Pressure-Dilatation Correlation", IC-ASE, Rept. 91-42, Hampton, VA, 1991.
  8. Dash, S., and Kenzakowski, D. C., "A Compressible-Dissipation Extension of the k-epsilon Turbulence Model and Building-Block Data for its Validation", AIAA SDIO Annual Interceptor Technology Conference, Huntsville, AL, AIAA 92-2766, 1992.
  9. Wilcox, D. C., Turbulence Modeling for CFD, Second Ed., DCW Industries, La Canada, California, 2002.
  10. Kim, K. H., Kim, C. A., and Rho, O. H., "Methods for the Accurate Computations of Hypersonic Flows: I. AUSMPW+Scheme", Journal of Computational Physics, Vol. 174, 2001, pp. 38-80. https://doi.org/10.1006/jcph.2001.6873
  11. Inger, G. R., and Gendt, C., "An Experimental Study of Transonic Shock/Turbulent Boundary Layer Interaction on a Roughened Surface", 35th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA 97-0065, 1997.
  12. Mendonca, J., and Sharif, M. A. R, "Performance of Turbulence Models in the Computation of Transonic Flow over a Circular Arc Bump", 35th AIAA Fluid Dynamics Conference and Exhibit, Toronto, Ontario Canada, AIAA 2005-4637, 2005.
  13. Borgar, T. J., "Structure of Self-Excited Oscillations in Transonic Diffuser Flows", AIAA Journal, Vol. 24, No. 1, 1986, pp. 54-61. https://doi.org/10.2514/3.9222
  14. Chen, C. P., Sajben, M. and Kroutil, J. C., "Shock-Wave Oscillations in a Transonic Diffuser Flow", AIAA Journal, Vol. 17, No. 10, 1979, pp. 1076-1083. https://doi.org/10.2514/3.61280
  15. Park, J. H., Lee, T. S. and Kim, Y. G., "A Study of Supersonic Jets Impinging on Axisymmetric Cone", Journal of the Korean Society for Aeronautical and Space Science, Vol. 31, No. 7, 2003, pp. 26-31.
  16. Yeom, H. W., Yoon, S. K., and Sung, H. G., "Flow Dynamics at the Minimum Starting Condition of a Supersonic Diffuser to Simulate a Rocket's High Altitude Performance on the Ground", Journal of Mechanical Science and Technology, Vol. 23, Issue 1, 2009, pp. 254-261. https://doi.org/10.1007/s12206-008-1007-3
  17. Sung, H. G., Yeom, H. W., Yoon, S. K., Kim S. J., and Kim, J. G., "Investigation of Rocket Exhaust Diffusers for Altitude Simulation", Journal of Propulsion and Power, Vol. 26, No. 2, 2010, pp. 240-247. https://doi.org/10.2514/1.46226
  18. Shih, T. H. and Lumley, J. L., "Kolmogorov Behavior of Near-Wall Turbulence and its Application in Turbulence Modeling", NASA TM-105663, 1992.
  19. Yang, Z., and Shih, T. H., "New Time Scale Based Model for Near-Wall Turbulence", AIAA Journal, Vol. 31, No. 7, 1993, pp. 1191-1197. https://doi.org/10.2514/3.11752
  20. Menter, F. R., "Two-Equation Eddy-Viscosity Turbulence Models for Engineering Application", AIAA Journal, Vol. 32, No. 8, 1993, pp. 1598-1605.
  21. Coratekin, T., Keuk, J. V., and Ballmann, J., "Performance of Upwind Scheme and Turbulence Models in Hypersonic Flows", AIAA Journal, Vol. 42, No. 5, 2004, pp. 945-957. https://doi.org/10.2514/1.9588
  22. Sung, H. G., Unsteady Flowfield in an Integrated Rocket Ramjet Engine and Combustion Dynamics of a Gas Turbine Swirl Stabilized Injector, The Pennsylvania State University, Ph.D. thesis, 1999.

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