다양한 $k-{\varepsilon}$ 난류모델과 Skew-Upwind 기법에 의한 단이 진 벽면분류에 대한 수치해석

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서호택;부정숙
Seo, Ho-Taek;Boo, Jung-Sook

  • 발행 : 2000.02.01

초록

Four turbulent $k-{\varepsilon}$ models (i.e., standard model, modified models with streamline curvature modification and/or preferential dissipation modification) are applied in order to analyze the turbulent flow of wall-attaching offset jet. For numerical convergence, this paper develops a method of slowly increasing the convective effect induced by skew-velocity in skew-upwind scheme (hereafter called Partial Skewupwind Scheme). Even though the method was simple, it was efficient in view of convergent speed, computer memory storage, programming, etc. The numerical results of all models show good prediction in first order calculations (i.e., reattachment length, mean velocity, pressure), while they show some deviations in ·second order (i.e., kinetic energy and its dissipation rate). Like the previous results obtained by upwind scheme, the streamline curvature modification results in better prediction, while the preferential dissipation modification does not.

키워드

벽면분류;재부착길이;수렴;Skew-Upwind 기법;$k-{\varepsilon}$모델

참고문헌

  1. Hanjalic, K. and Launder, B.E., 1980, 'Sensitizing the Dissipation Equation to Irrotational Strains,' J. of Fluid Eng. ASME, Vol. 102, pp. 34-40
  2. 김형수, 정태선, 유홍선, 최영기, 1991, 대한기계학회논문집 제 15권 제 2호, pp. 668-676
  3. Isomoto, K. and Honami, S., 1989, 'The effect of Inlet Turbulence Intensity on the Reattachment Process Over a Backward-Facing Step,' J. of Fluids Eng., Vol. 111, pp. 87-92
  4. 백세진, 유정열, 1989, 대한기계학회논문집 제 13권 제5호, pp. 999-1011
  5. 최동규, 최도형, 신현동, 김문헌, 1990, 대한기계학회논문집 제14권 제2호, pp. 440-452
  6. 박태선, 성형진, 1995, 대한기계학회논문집 제 19권 제 8호, pp. 2051-2063
  7. 윤순현, 엄윤섭, 정명균, 1988, 대한기계학회논문집 제 12권 제 4호, pp. 865-875
  8. 서호택, 윤순현, 부정숙, 1999, '다양한 ${\kappa}-{\varepsilon}$ 난류모델에 의한 단이 진 벽면분류에 대한 수치해석,' 대한박용기관학회지 Vol. 23, No. 2, pp. 106-116
  9. 부정숙, 김경천, 박진호, 강창수, 1985, 대한기계학회논문집 제 9권 제 6호, pp. 732-742
  10. Yoon, S.H., Kim, K.C., Kim, D.S. and Chung, M.K., 1993, J. KSME, Vol. 7, No. 2, pp. 101-112
  11. Leschziner, M.A. and Rodi, W., 1981, 'Calculation of Annular and Twin Parallel Jets Using Various Discretization Schemes and Turbulence Model Variations,' J. of Fluid Eng. ASME, Vol. 103, pp. 352-360
  12. Patankar, S.V., 1980, 'Numerical Heat Transfer and Fluid Flow,' Hemispere Publishing Co., pp. 79-109
  13. Raithby, G.D., 1976, 'Skew Upsteam Difference Schemes for Problems Involving Fluid Flow,' Comp. Meth. Appl. Mech. & Eng., Vol. 9, pp. 153-164 https://doi.org/10.1016/0045-7825(76)90058-X
  14. 박상우, 정명균, 1987, 대한기계학회논문집 제11권 제3호, pp. 444-453
  15. Rajaratnam, N., 1976, 'Turbulent Jets,' Elsevior Scientific Publishing Company, pp. 211-225
  16. Nallasamy, M., 1987, 'Turbulence Models and Their Applications to the Prediction of Internal Flows: A Review,' Computer & Fluids, Vol. 15, No. 2, pp. 151-194 https://doi.org/10.1016/S0045-7930(87)80003-8