Journal of the Korean Society for Marine Environment & Energy (한국해양환경ㆍ에너지학회지)

The Korean Society for Marine Environment and Energy (한국해양환경•에너지학회)
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Study on the Free Surface Behavior Using the Lattice Boltzmann Method

격자볼츠만법을 이용한 자유수면 거동 특성 연구

  • Received : 2013.11.06
  • Accepted : 2013.11.20
  • Published : 2013.11.25
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Abstract

The boltzmann equation is based on the particle distribution function while the Navire-Stokes equation based on the continuum theory. In order to simulate free surface flow, this paper used the Lattice Boltzmann Method of which is the discretized form. The detail study on the characteristics of the Lattice Boltzmann Method for the free surface simulation was investigated. The developed code was validated with the traditional dam breaking problem by tracking the front position of the water. A basic roles of density functions in the Lattice Boltzmann Method is discussed. To have an engineering applications, the simulation is also conducted the free surface behavior with an arbitrary wall geometry.

본 연구에서는 연속체 이론을 배경으로 하며 일반적으로 많이 사용되는 Navire-Stokes방정식이 아닌 입자의 확률분포를 배경으로 하는 Boltzmann 방정식을 이용하여 자유수면을 포함하는 유동을 해석하는 전산시뮬레이션 코드를 개발하였다. 댐 붕괴시뮬레이션에 적용하여 코드의 검증을 수행하였으며, 기존의 실험 및 계산결과와 비교함과 동시에 격자볼츠만 시뮬레이션의 특성을 분석하였다. 공학적 응용을 위해서 임의 형상의 물체가 존재시에 자유수면 시뮬레이션도 수행하였다.

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References

  1. Bhatnagar, P.L., Gross, E.P., Krook, M., 1954, "A model for collision processes in gases. I : small amplitude processes in charged and neutral one-component system", Phys. Rev., 94, 511-525 https://doi.org/10.1103/PhysRev.94.511
  2. Bouzidi, M., Firdaouss, M, and Lallemand P., 2001, "Momentum transfer of a Boltzmann-lattice fluid with boundaries", Phys. Fluids, 13, 3452-3459 https://doi.org/10.1063/1.1399290
  3. Buick, J.M. and Greated, C. A., 2000, "Gravity in a lattice Boltzmann model", Physical Review E, Vol.61, No.5 5307-5320. https://doi.org/10.1103/PhysRevE.61.5307
  4. Chen, H., Orszag, S.A., Staroselsky, I., 2007, "Macroscopic description of arbitrary Knudsen number flow using Boltzmannn-BGK kinetic theory", J. Fluid Mech. Vol.574, 495-505 https://doi.org/10.1017/S0022112006004241
  5. He, X. and Luo, L.-S., 1997, "Lattice Boltzmann Model for the Incompressible Navier-Stokes Equation", Journal of Statistical Physics, Vol.88, Nos.3/4, 927-944 https://doi.org/10.1023/B:JOSS.0000015179.12689.e4
  6. Hirt, C.W. and Nichols, B.D., 1981, "Volume of fluid (VOF) method for for the dynamics of free boundaries", Journal of Computational Physics, Vol.39, 201-225. https://doi.org/10.1016/0021-9991(81)90145-5
  7. Jung, Rho-Taek., 2012, "Feasibility study on the two-dimensional free surface simulation using the Lattice-Boltzmann Method", J. of the Korean Society for Marine Environmental Engineering, Vol.15, No.4, 273-280. https://doi.org/10.7846/JKOSMEE.2012.15.4.273
  8. Kato, Y., Kono, K., Seta, T., Martinez, D and Chen, S., 1997, "AMADEUS Project and Microscopic Simulation of Boiling Two-Phase Flow by the Lattice-Boltzmann Method", International J. of Modern Physics C, Vol.8, 843-858. https://doi.org/10.1142/S0129183197000722
  9. Kim, M.-S., Perot, F., and Meskine, M., 2012, "Aerodynamics and acoustics predictions of the 2-blade NREL wind turbin using Lattice Boltzmann Method", 14th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, ISROMAC-14, Honolulu, USA.
  10. Korner C., Thies M., Hofmann T., Thurey N., and Rude U., 2005, "Lattice Boltzmann Model for Free Surface Flow for Modeling Foaming", Journal of Statistical Physics, Vol.121, 1/2, 179-196. https://doi.org/10.1007/s10955-005-8879-8
  11. Lu, G., Depaolo, D.J., Kang, Q. and Zhang, D., 2009, "Lattice Boltzmann simulation of snow crystal growth in clouds", J. of Geophysical Research, 114, D07305.
  12. Martin, J.C. and Moyce, W.J., 1952, "Part IV. An experimental study of the collapse of liquid columns on a rigid horizontal plane", Phil. Trans. R. Soc. Lond. A, 244, 312-324. https://doi.org/10.1098/rsta.1952.0006
  13. Mei, R., Yu, D. and Shyy, Wei, 2002, "Force evaluation in the lattice Boltzmann method involving curved geometry", Physical Review E, 65, 041203. https://doi.org/10.1103/PhysRevE.65.041203
  14. Orlandini, E., Swift, M.R. and Yeomans, J.M., 1995, "A lattice Boltzmann model of binary-fluid mixtures", Europhysics Leters, 32(6), 463-468. https://doi.org/10.1209/0295-5075/32/6/001
  15. Thurey, N., 2003, "A single-phase free-surface Lattice Boltzmann Method", Master thesis, INSTITUT FAUR INFORMATIK (MATHEMATISCHE MASCHINEN UND DATENVERARBEITUNG).
  16. Wen, B., Li, H., Zhang, C. and Fang, H., 2012, "Lattice-typedependent momentum-exchange method for moving boundaries", Physical Review E 85, 016704. https://doi.org/10.1103/PhysRevE.85.016704