Journal of Advanced Marine Engineering and Technology

The Korean Society of Marine Engineering (한국마린엔지니어링학회)
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Study on the Shape of Free Surface Waves by the Scheme of Volume Fraction

Volume Fraction 기법에 의한 자유표면파 형상 연구

  • 곽승현 (한라대학교 컴퓨터응용설계학과)
  • Published : 2008.11.30
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Abstract

To obtain the shape of the free surface more accurately, computations are carried out by a finite volume method using unstructured meshes and an interface capturing method. Free-surface flow, which is very important in the fields of ship and marine engineering, is numerically simulated for flows of both water and air. Control volumes are used with an arbitrary number of faces and allows a local mesh refinement. The integration is of second order, with a midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation. The solution method of pressure-correction type solves sequentially equations of momentum, continuity, conservation, and two-equations turbulence model. Comparison are quantitatively made between the computation and experiment in order to confirm the solution method.

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References

  1. J. Farmer, L. Martinelli and A. Jameson, "Fast multigrid method for solving incompressible hydrodynamic problems with free surfaces", AIAA J., Vol. 32, pp. 1175-1182,1994 https://doi.org/10.2514/3.12117
  2. S. Muzaferija and M. Peric, "Computation of free surface flows using finite volume method and moving grids", Num. Heat Transfer, Part B, Vol 32, pp. 369-384, 1997 https://doi.org/10.1080/10407799708915014
  3. F. H. Harlow and J. E. Welch, "Numerical calculation of time dependent viscous incompressible flow with free surface", Phys. Fluids, Vol. 8, pp. 2182- 2189, 1965 https://doi.org/10.1063/1.1761178
  4. C. W. Hirt and B. D. Nicholls, "Volume of Fluid (VOF) method for Dynamics of free boundaries, J. Comput. Phys., Vol. 39, pp. 201-221, 1994 https://doi.org/10.1016/0021-9991(81)90145-5
  5. T. Kawamura and H. Miyata, "Simulation of nonlinear ship flows by density function method", J. Soc., Naval Arch., Japan, Vol. 176, pp. 1-10, 1983
  6. O. Ubbink, "Numerical prediction of two fluid systems with sharp interfaces", Ph. D. Thesis, Univ of London, 1997
  7. S. Muzaferija and M. Peric, "Computation of free surface flows using interface-tracking and interface- capturing Methods ", Chap. 3, in O. Mahrenholtz and M. Markiewicz, Nonlinear Water Wave Interaction, Computational Mechanics Publications, Southampton, 1998
  8. B. P. Leonard, "Bounded higher order upwind multi dimensional finite volume convection diffusion algolithms", in W. J. Minkowycz, E. M. Sparrow, Advances in Numerical Heat Transfer, Chap. 1, Taylor and Francis, New York, pp. 1-57. 1997
  9. J. H. Duncan, "The breaking and non- breaking wave resistance of a two dimensional hydrofoil, J. Fluid Mech., Vol.126, pp. 507-520, 1983 https://doi.org/10.1017/S0022112083000294
  10. H. Schlichting, "Boundary Layer Theory", Graw-Hill, New York, 1979

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