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Feasibility Study on the Gas-Liquid Multiphase by Lattice-Boltzmann Method in Two-Dimensions
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 Title & Authors
Feasibility Study on the Gas-Liquid Multiphase by Lattice-Boltzmann Method in Two-Dimensions
Jung, Rho-Taek;
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Gas-Liquid multiphase flow simulation has been carried out using the Lattice boltzmann method. For the interface treatment, pseudo-potential model (Shan-Chen) was used with the Carnahan-Starling equation of state. Exact Difference Method also applied for the treatment of the force term. Through the developed code, we simulated coexsitence structure of high and low density, phase separation, surface tension effect, characteristics of moving interface, homogeneous and heterogeneous cavitation and bubble collaps.
Lattice-Boltzmann Method;Phase separation;Bubble Cavitation;D2Q9;
 Cited by
Bhatnagar, P.L., Gross, E.P. and Krook, M., 1954, "A model for collision processes in gases. I: small amplitude processes in charged and neutral one-component system", Phys. Rev., Vol. 94, 511-525. crossref(new window)

Cahn, J.W. and Hilliard, J.E., 1958, "Free energy of nonuniform system. I. Interfacial Free Energy", J. Chem. Phys., Vol. 28, 258. crossref(new window)

Chen, H., Kandasamy, S., Orszag, S., Shock, R., Succi, S. and Yakhot, V., 2003, "Extended Boltzmann Kinetic Equation for Turbulent Flows", Science, Vol. 301, 633-636. crossref(new window)

Chen, S., Chen, H., Martinez, D. and Matthaeus, W., 1991, "Lattice Boltzmann model for simualtion of magnetohydrodynamics", Phys. Rev. Lett., Vol. 67, 2776.

Chen, S. and Doolen, G.D., 1998, "Lattice Boltzmann Method for fluid flows", Annu. Rev. Fluid Mech., Vol. 30, 329-364. crossref(new window)

Falcucci, G., Bella, G. Chiatti, G., Chibbaro, S., Sbragaglia, M. and Succi, S., 2006, "Lattice Boltzmann models with mid range interactions", Commun. Comput. Phys., Vol. 1, No. 1, 1-13.

Gunstensen, A.K. and Rothman, D.H., 1991 "Lattice Boltzmann model of immiscible fluids", Phys. Rev. A, Vol. 43, No. 8, 4320-4327. crossref(new window)

He, X. and Luo, L.-S., 1997, "Lattice Bolzmann Model for the Incompressible Navier-Stokes Equation", J. Stat. Phys., Vol. 88, 927-944. crossref(new window)

Huang, H., Krafczyk, M. and Lu, X., 2011, "Forcing term in single-phase and Shan-Chen-type multiphase lattice Boltzmann models", Phys. Rev. E, Vol. 84, 046710. crossref(new window)

Huang, H., Sukop, M., Lu, X., 2015, "Multiphase Lattice Boltzmann Methods: Theory and Application", WILEY Blackwell.

Inamuro, T., Konishi N. and Ogino F., 2000, "A Galiean invariant model of the lattice Boltzmann method for multiphase fluids using free-energy approach", Comput. Phys. Commun., Vol. 29, 32-45.

Kupershtokh, A.L. Medvedev, D.A. and Karpov, D.I., 2009, "On equations of state in a lattice Boltzmann method", Comput. Math. Appl., Vol. 58, 965-974. crossref(new window)

Lauterborn, W. and Bolle, H., 1975, "Experimental investigations of cavitation bubble collapse in the neighborhood of a solid boundary", J. Fluid Mech., Vol. 72, 391-399. crossref(new window)

Lee, T. and Lin, C.-L., 2005, "A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio", J. Comput. Phys., Vol. 206, 16-47. crossref(new window)

Lishchuk, S.V., Care, C.M. and Halliday, I., 2003, "Lattice Boltzmann algorithm for surface tension with greatly reduced microcurrents", Phys. Rev. E, Vol. 67, 036701. crossref(new window)

Nourgaliev, R.R., Dinh, T.N. and Sehgal, B.R., 2002, "On lattice Boltzmann modeling of phase transition in an isothermal non-ideal fluid", Nucl. Eng. Des., Vol. 211, 153-171. crossref(new window)

Or, D. and Tuller, M., 2002, "Cavitation suring desaturation of porous media under tension", Water Resour. Res., Vol. 38, No. 5, 1061.

Plesset, M.S. and Prosperretti, A., 1997, "Bubble dynamics and cavitation", Annu. Rev. Fluid Mech., Vol. 9, 145-185.

Sbragaglia, M., Benzi, R., Biferale, L., Succi, S., Sugiyama, K. and Toschi, F., 2007, "Generalized lattice Bolzmann method with multirage psudopotential", Phys. Rev. E, Vol. 75, 026702. crossref(new window)

Shan, X. and Chen, H., 1993, "Lattice boltzmann model for simulating flows with multiple phased and components", Phys. Rev. E, Vol. 47, 1825-1819.

Shan, X. and Chen, H., 1994, "Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation", Phys. Rev. E, Vol. 49, 42941-2948.

Swift, M.R., Osborn, W.R. and Yeomans, J.M., 1995, "Lattice Boltzmann Simulation of Nonideal Fluids", Phys. Rev. Lett., Vol. 75, 830-833. crossref(new window)

Swift, M.R., Orlandini, E., Osborn, W.R. and Yeomans, J.M., 1996, "Lattice Boltzmann simulations of liquid-gas and binary fluid systems", Phys. Rev. E, Vol. 54, 5041-5052. crossref(new window)

Succi, S., 2008, "Lattice Boltzmann across scales: from turbulence to DNA translocation", Eur. Phys. J. B, Vol. 64, 471-479. crossref(new window)

Succi, S., 2015, "Lattice Bolzmann 2038", EPL, Vol. 109, No. 5, 50001. crossref(new window)

Sukop, M.C. and Or, D., 2005, "Lattice boltzmann method for homogeneous and heterogeneous cavitation", Phys. Rev. E, Vol. 71, 046703. crossref(new window)

Yang, J., Shen, Z., Zheng, X. and Li, L., 2015, "Simulation on Cavitation Bubble collapsing with Lattice Boltzmann Method", J. Appl. Math. Phys., Vol. 3, 947-955. crossref(new window)

Yu, D., Mei, R., Luo, L.-S. and Shyy, W., 2003, "Viscous flow computaions with the method of lattice Boltzmann equation", Progr. Aero. Sci., Vol. 39, 329-367. crossref(new window)

Yuan, P. and Laura, S., 2006, "Equations of State in a Lattice Boltzmann Model", Phys. Fluids, Vol. 18, 042101. crossref(new window)

Zou, Q. and He, X., 1997, "On pressure and velocity boundary conditions for the lattice boltzmann BGK model", Phys. Fluids, Vol. 9, 1597.