NUMERICAL SIMULATIONS OF SUPERSONIC FLOWS USING POROUS AND ROUGH WALL BOUNDARY CONDITIONS

다공성 벽면(porous-wall)과 거칠기가 있는 벽면(rough-wall)에 관한 경계조건을 이용한 초음속 흐름의 수치모사

  • 곽인근 (인하대학교 일반대학원 항공우주공학과) ;
  • 유일용 (인하대학교 일반대학원 항공우주공학과) ;
  • 이동훈 (인하대학교 일반대학원 항공우주공학과) ;
  • 이승수 (인하대학교 기계공학부 항공우주공학)
  • Published : 2009.12.31

Abstract

The existing code which solves two-dimensional RANS(Reynolds Averaged Navier-Stokes) equations and 2-equation turbulence model equations was modified to enable numerical simulation of various supersonic flows. For this, various boundary conditions have been implemented to the code. Bleed boundary condition was incorporated into the code for calculating wall mean flow quantities. Furthermore, boundary conditions for the turbulence quantities along rough surfaces as well as porous walls were applied to the code. The code was verified and validated by comparing the computational results against the experimental data for the supersonic flows over bleed region on a flat plate. Furthermore, numerical simulations for supersonic shock boundary layer interaction with a bleed region were performed and their results were compared with the existing computational results.

Keywords

References

  1. 2006, Wilcox, D.C., Turbulence Modeling for CFD-3rd edition, DCW Industries, Inc, California, pp.3-5,182-187
  2. 1996, Willis, B.P. and Davis, D.O., "Boundary layer development downstream of a bleed mass flow removal region," AIAA Paper 96-3278
  3. 1994, Mayer, D.W. and Paynter, G.C., "Boundary Condition for Unsteady Supersonic Inlet Analyses," AIAA Journal, Vol.32, No.6 https://doi.org/10.2514/3.12120
  4. 2008, Slater, J.W. and Saunder, J.D., "Modeling of Fixed-Exit Porous Bleed Systems," AIAA 2008-94
  5. 1993, Paynter, G.C. et al., "Modeling Supersonic Inlet Boundary-Layer Bleed Roughness," Journal of Propulsion and Power, Vol.9, No.4, pp.622-627 https://doi.org/10.2514/3.23666
  6. 1985, Sahu, J. and Danberg, J., "Navier-Stokes Computations of Axisymmetric Transonic Flows with a Two-Equation Model of Turbulence," AIAA-85-0373
  7. 1996, Chima, R.V., "Application of the $\kappa$-$\omega$Turbulence model to Quasi-Three-Dimensional Turbomachinery Flows," Journal of Propulsion and Power, Vol.12, No.6, pp.1176-1179 https://doi.org/10.2514/3.24159
  8. 1999, 김창성, 김종암, 노오현, "2-방정식 난류모델을 이용한 고양력 익형주위의 비압축성/압축성 유동장 해석," 한국전산유체공학회지, 제4권, 제1호, pp53-61
  9. 1995, Weiss, J.M. and Smith, W.A., "Preconditioning Applied to Variable and Constant Density Flows," AIAA Journal, Vol.33, No.11, pp.2050-2057 https://doi.org/10.2514/3.12946
  10. 1981, Roe, R.L., "Approximate Riemann Solvers, Parameter Vectors and Difference Schemes," J. of Comp. Physics, Vol.43 https://doi.org/10.1016/0021-9991(81)90128-5
  11. 2006, 류세현, 이승수, 김범수, "저속 압축성 유동에 대한 국소 예조건화 기법 적용연구," 한국군사과학기술학회, 제9권 2호, pp.152-160
  12. 2000, Latin, R.M. and Bowersox, R.D.W., "Flow Properties of a Supersonic Turbulent Boundary Layer with Wall Roughness," AIAA Journal, Vol.38, No.10, pp.1804-1821 https://doi.org/10.2514/2.862
  13. 2007, Sharif, M.A.R., Guo, G., "Computational analysis of supersonic turbulent boundary layers over rough surfaces using the $\kappa$-$\omega$ and the stress-models," Applied Mathematical Modeling, Vol.31, pp.2655-2667 https://doi.org/10.1016/j.apm.2006.10.007
  14. 1995, Willis, B.P., Davis, D.O. and Hingst, W.R., "Flowfield Measurements in a Normal-Hole-Bled Oblique Shock-Wave and Turbulent Boundary-Layer Interaction," AIAA-95-2885