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http://dx.doi.org/10.7846/JKOSMEE.2013.16.4.255

Study on the Free Surface Behavior Using the Lattice Boltzmann Method  

Jung, Rho-Taek (University of Ulsan)
Publication Information
Journal of the Korean Society for Marine Environment & Energy / v.16, no.4, 2013 , pp. 255-262 More about this Journal
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.
Keywords
Lattice-Boltzmann Method; Dam-breaking Simulation; D2Q9; Inclined wall;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 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   DOI   ScienceOn
2 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   DOI
3 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.   DOI   ScienceOn
4 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.   과학기술학회마을   DOI   ScienceOn
5 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.   DOI
6 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.
7 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.   DOI
8 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.
9 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.   DOI
10 Mei, R., Yu, D. and Shyy, Wei, 2002, "Force evaluation in the lattice Boltzmann method involving curved geometry", Physical Review E, 65, 041203.   DOI
11 Orlandini, E., Swift, M.R. and Yeomans, J.M., 1995, "A lattice Boltzmann model of binary-fluid mixtures", Europhysics Leters, 32(6), 463-468.   DOI   ScienceOn
12 Thurey, N., 2003, "A single-phase free-surface Lattice Boltzmann Method", Master thesis, INSTITUT FAUR INFORMATIK (MATHEMATISCHE MASCHINEN UND DATENVERARBEITUNG).
13 Wen, B., Li, H., Zhang, C. and Fang, H., 2012, "Lattice-typedependent momentum-exchange method for moving boundaries", Physical Review E 85, 016704.   DOI
14 Buick, J.M. and Greated, C. A., 2000, "Gravity in a lattice Boltzmann model", Physical Review E, Vol.61, No.5 5307-5320.   DOI   ScienceOn
15 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   DOI
16 Bouzidi, M., Firdaouss, M, and Lallemand P., 2001, "Momentum transfer of a Boltzmann-lattice fluid with boundaries", Phys. Fluids, 13, 3452-3459   DOI   ScienceOn