초음속 유동 해석을 위한 Wilcox κ - ω 난류 모델 비교

국문 초록 (Abstract)

본 연구에서는 초음속 비행체에 나타나는 유동 특성 해석을 위해 1988 Wilcox κ - ω 모델과 2008 Wilcox 모델의 수치 결과를 비교하였다. 충격파 - 경계층 간섭 현상과 램프 주입기 혼합 문제에 대하여 실험결과와 비교, 검토하였다. 또한, 표면 마찰 측정의 기초가 되는 평판 흐름과 전단 층 성장에 대한 상관 관계식도 비교, 분석 하였다. 램프 주입기 케이스에서 최대 주입 질량비는 1988 Wilcox 모델을 이용하였을 때 보다 신뢰성 있는 해석 결과를 예측할 수 있었다. 그러나 충격파 - 경계층 간섭 케이스에 대해서는 2008 Wilcox 모델을 적용하였을 때 더 정확한 해석 결과가 도출됨을 확인하였다.

다국어 초록 (Multilingual Abstract)

This paper presents numerical results comparing the performance of the 2008 Wilcox κ - ω turbulence model to the one of the 1988 Wilcox κ - ω model for supersonic flows. A comparison with experimental data is offered for a shock wave/turbulent boundary layer interaction case and two ramp injector mixing cases. Furthermore, a comparison is performed with empirical correlations on the basis of skin friction for flow over a flat plate and shear layer growth for a free shear layer. It is found that the maximum injectant mass fraction of some ramp injector cases is better predicted using the 1988 Wilcox model. On the other hand, the 2008 model performs better in simulating shock-boundary layer cases.

목차 (Table of Contents)

• ABSTRACT
• 초록
• Ⅰ. 서론
• Ⅱ. 연구 방법
• Ⅲ. 연구 결과
• Ⅳ. 결론
• 후기
• 참고문헌

참고문헌 (Reference)

1 Parent, B., "Validation of Wilcox κ-ω Model for Flows Characteristic to Hypersonic Airbreathing Propulsion" 42 (42): 261-270, 2004

2 Dimotakis, P. E., "Turbulent Mixing and Combustion, In High-Speed Flight Propulsion Systems, In Vol. 137, Progress in Aeronautics and Astronautics" AIAA 265-340, 1991

3 Wilcox, D. C., "Turbulence Modeling for CFD" DCW Industries 2006

4 Parent, B., "The Use of Domain Decomposition in Accelerating the Convergence of Quasihyperbolic Systems" 179 (179): 140-169, 2002

5 Macheret, S. O., "Shock Wave Propagation and Structure in Non-Uniform Gases and Plasmas" 1999

6 Brown, G. L., "On Density Effects and Large Structure in Turbulent Mixing Layers" 64 (64): 775-781, 1974

7 Waitz, I. A., "Investigation of a Contoured Wall Injection for Hypervelocity Mixing Augmentation" 31 (31): 1014-1021, 1993

8 Jain, S., "Hypersonic Nonequilibrium Flow Simulation over a Blunt Body using BGK Method" Texas A&M University 2007

9 Yee, H. C., "High-Resolution Shock-Capturing Schemes for Inviscid and Viscous Hypersonic Flows" 88 (88): 31-61, 1990

10 Wilcox, D. C., "Formulation of the κ-ω Turbulence Model Revisited" 46 (46): 2823-2838, 2008

11 Donohue, J. M., "Experimental and Numerical Study of Swept Ramp Injection into a Supersonic Flowfield" 32 (32): 1860-1867, 1994

12 Macheret, S. O., "Electron-Beam-Generated Plasmas in Hypersonic Magnetohydrodynamics Channels" 39 (39): 1127-1138, 2001

13 Settles, G. S., "Details of a Shock Separated Turbulent Boundary Layer at a Compression Corner" 14 (14): 1709-1715, 1976

14 Vinokur, M., "Conservative Equations of Gas-Dynamics in Curvilinear Coordinate Systems" 14 (14): 105-125, 1974

15 Dixon-Lewis, G., "Computer Modeling of Combustion Reactions in Flowing Systems with Transport, In Combustion chemistry. Chapter 2" Springer Verlag 1984

16 Roe, P. L., "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes" 43 (43): 357-372, 1981

17 Beam, R., "An Implicit Factored Scheme for the Compressible Navier-Stokes Equations" 16 (16): 393-402, 1978