Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
권호 표지
DOI QR코드

DOI QR Code

CAVITATION FLOW SIMULATION FOR A 2-D HYDROFOIL USING A HOMOGENEOUS MIXTURE MODEL ON UNSTRUCTURED MESHES

비정렬 격자계에서 균질혼합 모델을 이용한 2차원 수중익형 주위의 캐비테이션 유동 해석

  • Ahn, S.J. (Dept. of Aerospace Engineering, KAIST) ;
  • Kwon, O.J. (Dept. of Aerospace Engineering, KAIST)
  • 안상준 (한국과학기술원 항공우주공학과) ;
  • 권오준 (한국과학기술원 항공우주공학과)
  • Received : 2011.12.19
  • Accepted : 2012.03.08
  • Published : 2012.03.31
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, the cavitating flows around a hydrofoil have been numerically investigated by using a 2-d multi-phase RANS flow solver based on pseudo-compressibility and a homogeneous mixture model on unstructured meshes. For this purpose, a vertex-centered finite-volume method was utilized in conjunction with 2nd-order Roe's FDS to discretize the inviscid fluxes. The viscous fluxes were computed based on central differencing. The Spalart-Allmaras one equation model was employed for the closure of turbulence. A dual-time stepping method and the Gauss-Seidel iteration were used for unsteady time integration. The phase change rate between the liquid and vapor phases was determined by Merkle's cavitation model based on the difference between local and vapor pressure. Steady state calculations were made for the modified NACA66 hydrofoil at several flow conditions. Good agreements were obtained between the present results and the experiment for the pressure coefficient on a hydrofoil surface. Additional calculation was made for cloud cavitation around the hydrofoil. The observation of the vapor structure, such as cavity size and shape, was made, and the flow characteristics around the cavity were analyzed. Good agreements were obtained between the present results and the experiment for the frequency and the Strouhal number of cavity oscillation.

Keywords

References

  1. 1996, Chen, Y. and Heister, S.D., "Modeling Hydrodynamic Non-equilibrium in Cavitation Flows," Journal of Fluids Engineering, Vol.118, pp.172-178. https://doi.org/10.1115/1.2817497
  2. 1997, Deshpande, M., Feng. J.Z. and Merkle, C.L., "Numerical Modeling of the Thermodynamic Effects of Cavitation," Journal of Fluids Engineering, Vol.119, pp.420-427. https://doi.org/10.1115/1.2819150
  3. 2000, Merkle, C.L., "Dynamics of Sheet Cavitation and Large Scale Shedding," Final Technical Report No. N00014-98-1-0311, Office of Naval Research.
  4. 2001, Ahuja, V. Hosangadi, A. and Aruajatesan, S., "Simulation of Cavitating Flows using Hybrid Unstructured Meshes," Journal of Fluid Engineering, Vol.123, No.2, pp.331-340. https://doi.org/10.1115/1.1362671
  5. 2003, Iga, Y., Nohmi, M., Goto, A., Shin, B.R. and Ikohagi, T., "Numerical Study of Sheet Breakoff Phenomenon on a Cascade Hydrofoil," Journal of Fluids Engineering, Vol.125, No.4, pp.643-651. https://doi.org/10.1115/1.1596239
  6. 2000, Kunz, R.F. et al., "A preoconditioned Navier-Stokes method for two-phase flows with application to cavitation prediction," Computers and Fluids, Vol.29, pp.849-875. https://doi.org/10.1016/S0045-7930(99)00039-0
  7. 2000, Ventikos, Y. and Tzabiras, G. A., "A Numerical Method for Simulation of Steady and Unsteady Cavitating Flows," Computer & Fluids, Vol.29, pp.63-88. https://doi.org/10.1016/S0045-7930(98)00061-9
  8. 2001, Athavale, M.M. and Singhal, A.K., "Numerical Analysis of Cavitating Flows in Rocket Turbopump Elements," AIAA Paper 2001-3400, July, Salt Lake City, UT.
  9. 2002, Senocak, I. and Shyy, W.A., "A Pressure-based Method for Turbulent Cavitating Flow Computations," Journal of Computational Physics, Vol.176, pp.363-83. https://doi.org/10.1006/jcph.2002.6992
  10. 2002, Singhal, A.K., and Athavale, M.M., Li, H. and Jiang, Y., "Mathmatical Basis and Validation of the Full Cavitation Model," Journal of Fluids Engineering, Vol.124, pp.617-624 https://doi.org/10.1115/1.1486223
  11. 1967, Chorin, A.J., "A Numerical Method for Solving Incompressible Viscous Flow Problems," Journal of Computational Physics, Vol.2, No.12, pp.12-26. https://doi.org/10.1016/0021-9991(67)90037-X
  12. 2001, Blazek., "Computational Fluid Dynamics : Principles and Applications," Elsevier.
  13. 2006, 김주성, 이희동, 권오준., "비정렬 격자계에서 격자점 중심과 격자 중심 유한체적법의 수치적인 거동에 관한 연구," 한국전산유체공학회 2006년도 추계학술대회 논문집, pp.57-60.
  14. 1981, Roe, P.L., "Approximate Riemann Solvers, Parameter Vectors and Difference Scheme," Journal of Computational Physics, Vol.43, pp.357-372. https://doi.org/10.1016/0021-9991(81)90128-5
  15. 1992, Spalart, P.R. and Allmaras, S.R., "A one-equation Turbulence Model for Aerodynamic flows," 30th Aerospace Sciences Meeting and Exhibit, AIAA Paper 92-0439, Jan, Reno, NV.
  16. 1998, Reboud, J.L., Stutz, B. and Coutier, O., "Two Phase Flow Structure of Cavitation : Experiment and Modeling of Unsteady Effects," 3rd International Symposium on Cavitation, Grenoble, France.
  17. 1995, Venkatakrishnan. V., "Convergence to Steady State Solutions of the Euler Equations on Unstructured Grids with Limiters," Journal of Computational Physics, Vol.118, No.1, pp.120-130. https://doi.org/10.1006/jcph.1995.1084
  18. 1989, Shen, Y.T. and Dimotakis, P., "The Influence of Surface Cavitation on Hydrodynamic Forces," 22nd American Towing Tank Conference, St Johns, NF, August 8-11.
  19. 2005, Leroux, J-B. and Coutier-Delgosha, O. and Astolfi, J. A., "A Joint Experimental and Numerical Study of Mechanisms Associated to Instability of Partial Cavitation on Two-dimensional Hydrofoil," Physics of Fluids, Vol.17, No.5, paper 052101.

Cited by

  1. Pressure distribution near truncated POD attached on hydrofoil vessel vol.38, pp.9, 2014, https://doi.org/10.5916/jkosme.2014.38.9.1106