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NUMERICAL DIFFUSION DECREASE OF FREE-SURFACE FLOW ANALYSIS USING SOURCE TERM IN VOLUME FRACTION TRANSPORT EQUATION

볼륨비 이송방정식의 소스항을 이용한 자유수면 유동 해석의 해 확산 감소

  • Park, Sunho (Dept. of Ocean Engineering, Korea Maritime and Ocean University) ;
  • Rhee, Shin Hyung (Dept. of Naval Architecture and Ocean Engineering, Seoul National University)
  • 박선호 (한국해양대학교 해양공학과) ;
  • 이신형 (서울대학교 조선해양공학과)
  • Received : 2013.08.02
  • Accepted : 2014.03.24
  • Published : 2014.03.31

Abstract

Accurate simulation of free-surface wave flows around a ship is very important for better hull-form design. In this paper, a computational fluid dynamics (CFD) code, termed SNUFOAM, which is based on the open source libraries, OpenFOAM, was developed to predict the wave patterns around a ship. Additional anti-diffusion source term for minimizing a numerical diffusion, which was caused by convection differencing scheme, was considered in the volume-fraction transport equation. The influence of the anti-diffusion source term was tested by applying it to free-surface wave flow around the Wigley model ship. In results, the band width of the volume fraction contours between 0.1 to 0.9 at the hull surface was narrowed by considering the anti-diffusion term.

Keywords

References

  1. 2009, Rhee, S.H., "Unsteady Reynolds averaged Navier-Stokes method for free-surface wave flows around surface-piercing cylindrical structures," Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol.135, No.4, pp.135-143. https://doi.org/10.1061/(ASCE)0733-950X(2009)135:4(135)
  2. 1999, Muzaferija, S., Peric, M., Sames, P. and Schelin, T., "A two-fluid Navier-Stokes solvers to simulate water entry," 22th Symposium on Naval Hydrodynamics, Washington D.C., USA.
  3. 1996, Ubbink, O., "Numerical prediction of two fluid systems with sharp interface," Ph.D Thesis, Imperial College of Science, Technology and Medicine.
  4. 2008, Waclawczyk, T. and Koronowicz, T., "Remarks on prediction of wave drag using VOF method with interface capturing approach," Archives of Civil and Mechanical Engineering, Vol.8, pp.5-14.
  5. 1996, Jasak, H., "Error analysis and estimation for the finite volume method with applications to fluid flows," Ph.D Thesis, Imperial College of Science, Technology and Medicine.
  6. 2002, Rusche, H., "Computational fluid dynamics of dispersed two-phase flows at high phase fractions," Ph.D Thesis, Thesis, Imperial College of Science, Technology and Medicine.
  7. 2009, Wang, Z., Zou, Q. and Reeve, D., "Simulation of spilling breaking waves using a two phase flow CFD model," Computers & Fluids, Vol.28, pp.1995-2005.
  8. 2012, Park, S., Park, S.W., Rhee, S.H., Lee, S.B., Choi, J.-E. and Kang, S.H., "CFD code development for the prediction of the ship resistance using open source libraries," Journal of Computational Fluids Engineering, Vol.17, No.2, pp.21-27. https://doi.org/10.6112/kscfe.2012.17.2.021
  9. 1995, Shih, T.-H., Liou, W.W., Shabbir, A., Yang, Z. and Zhu, J., "A new k-e eddy-viscosity model for high Reynolds number turbulent flows - model development and validation," Computers & Fluids, Vol.24, No.3, pp.227-238. https://doi.org/10.1016/0045-7930(94)00032-T
  10. 1985, Peric, M., "A Finite Volume method for the prediction of three-dimensional fluid flow in complex ducts," Ph.D Thesis, Imperial College of Science, Technology and Medicine.
  11. 1985, Issa, R.I., "Solution of implicitly discretized fluid flow equations by operator splitting," Journal of Computational Physics, Vol.62, pp.40-65.
  12. 1979, van Leer, B., "Towards the Ultimate Conservative Difference Scheme," Journal of Computational Physics, Vol.32, No.1, pp.101-136. https://doi.org/10.1016/0021-9991(79)90145-1
  13. 1992, Journee, J.M.J., "Experiments and calculations on four Wigley hullforms," Report No.909, Delft University.
  14. 1998, Beddhu, M., Jiang, M.-Y., Taylor, L.K. and Whitfield, D.L., "Computation of steady und unsteady flows with a free surface around the Wigley hull," Applied Mathematics and Computation, Vol.89, pp.67-84. https://doi.org/10.1016/S0096-3003(97)81648-7

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  3. Development of a numerical simulation tool for efficient and robust prediction of ship resistance vol.9, pp.5, 2014, https://doi.org/10.1016/j.ijnaoe.2017.01.003