한국전산유체공학회지 (Journal of computational fluids engineering)

한국전산유체공학회 (Korean Society of Computational Fluids Engineering)
권호 표지

V2F 난류모형을 이용한 초음속 램프유동의 해석

Computation of Supersonic Ramp Flow with V2F Turbulence Mode

  • 박창환 (한국과학기술원 항공우주공학과) ;
  • 박승오 (한국과학기술원 항공우주공학과)
  • 발행 : 2003.06.01
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초록

The V2F turbulence model, which has shown very good performance in several test cases at low speeds, has been applied to supersonic ramp flow with 20. corner angle at the free stream Mach number of 2.79. The flow is known to manifest strong shock wave/turbulent boundary layer interactions. As a comparative study, low-Reynolds k-ε models are also considered. While the V2F model predicts wall-pressure distribution well, it relatively predicts larger separation bubble and higher skin-friction after the reattachment than the experimental data. Although the ellpticity of f equation is the characteristics of incompressible flows, the converged solutions are acquired in the compressible flow with shock waves. The effect of the realizability constraints used in the model is also examined. In contrast to the result of impinging jet flows, the realizability bounds proposed by Durbin deterioate the overall solutions of the supersonic ramp flow.

키워드

참고문헌

  1. Durbin, P.A., 'Separated Flow Computations with the k-$\varepsilon$- $v^2$ Model,' AIAA J., Vo1.33, No.4, (1995), D.659-664
  2. Lien, F.S., Durbin, P.A., 'Non-linear k-$\varepsilon$-$v^2$ modelling with application to high lift,' Prodeedings of the Summer Program, Stanford University, (1996), p.5
  3. Pameix, S., Durbin, P.A., 'Numerical simulation of 3D turbulent boundary layers using the V2F model,' Annual Research Briefs. Center for Turbulence Research, NASA /Stanford Univ., (1997), p.135-148
  4. Lien, F.S, Kalitzin, G., 'Computations of transonic flow with the $v^2$-f turbulence model,' Int. J. Heat Fluid Flow, Vo1.22, (2001), 0.53-61
  5. Behnia, M., Parneix, S. Durbin, P.A., 'Prediction of heat transfer in an axisymmetric turbulent jet impinging on a flat plate,' Int. J. Heat Mass Transfer, Vo1.41, No.12, (1998), p.1845-1855
  6. Lee, C.H., Park, S.O., 'Computations of hypersonic flows over blunt body using a modified low-diffusion flux-splitting scheme,' CFD Joumal, Vol.lO, No.4, (2002), P.490-500
  7. Kalitzin.G., 'Application of the v2f turbulence model to transonic flows,' AIAA paper, p.99-3780
  8. Durbin, P.A., 'On the k-$\varepsilon$stagnation point anomoly,' Int. J. Heat Fluid Flow, Vo1.17, (1996), p.89-90
  9. Park, C.H., Park, S.O.,'On the eddy viscosity bound of two-equation turbulence models,' submitted to AIAA J., (2003)
  10. Smits, A.J., Muck, K.C., 'Experimental study of three shock wave/turbulent boundary layer interactions,' J. Fluid Mech., Vo1.182, (1987), p.291-214
  11. Launder, B.E., and Sharma, B.I., 'Application of the energy dissipation model of turbulence to the calculation of flow near a spinning disc,', Letters in Heat and Mass Transfer, Vol.l, No.2, (1974), p.131-138
  12. Chien, K.Y., 'Predictions of channel and boundary-layer flows with a low-Reynolds number turbulence models,' AIAA J., Vo1.20, No.l, (1982), p.33-38
  13. Kalitzin, G., Private communications, (2002)
  14. Wilcox, D.C., 'Turbulence Modeling for CFD,' DCW industiries, Inc. 2nd ed. (1998)
  15. Kalitzin, G., 'Towards a robust and efficient v2f implementation with application to transonic bump flow,' Annual Research Briefs. Center for Turbulence Research, NASA /Stanford Univ.,(2000)
  16. Yoon, B.K., Chung, M.K., and Park, S.O., 'Compahsons between low Reynolds number two-equation models for computation of a shock wave-turbulent-boundary layer interaction,' Aeronautical Joumal, (1997), P.335-345