Lattice Boltzmann model for thermal free surface flows with liquid–solid phase transition

International Journal of Heat and Fluid Flow - Tập 32 - Trang 156-163 - 2011
Elham Attar1, Carolin Körner1
1Department of Materials Science and Engineering, WTM, University of Erlangen-Nuremberg, Martensstr. 5, 91058 Erlangen, Germany

Tài liệu tham khảo

Agarwal, 2010, Unsteady development of a deformable bubble rising in a quiescent liquid, Comput. Methods Appl. Mech. Eng., 199, 1080, 10.1016/j.cma.2009.11.022 Alexander, 1993, Lattice Boltzmann thermohydrodynamics, Phys. Rev. E, 47, R2249, 10.1103/PhysRevE.47.R2249 Attar, 2009, Lattice Boltzmann method for dynamic wetting problems, J. Colloid Interface Sci., 335, 84, 10.1016/j.jcis.2009.02.055 Chatterjee, 2006, A hybrid lattice Boltzmann model for solid–liquid phase transitions in presence of fluid flow, Phys. Lett. A, 351, 359, 10.1016/j.physleta.2005.11.014 Chen, 1998, Lattice Boltzmann method for fluid flows, Annu. Rev. Fluid Mech., 30, 329, 10.1146/annurev.fluid.30.1.329 Chopard, 1999, Lattice Boltzmann computations and applications to physics, Theor. Comput. Sci., 217, 115, 10.1016/S0304-3975(98)00153-4 Guo, 2007, Thermal lattice Boltzmann equation for low Mach number flows Decoupling model, Phys. Rev., E75, 036704 He, 1998, A novel thermal model for the lattice Boltzmann method in incompressible limit, J. Comput. Phys., 146, 282, 10.1006/jcph.1998.6057 He, 1999, A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh–Taylor instability, J. Comput. Phys., 152, 642, 10.1006/jcph.1999.6257 He, 1997, Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation, Phys. Rev. E, 56, 6811, 10.1103/PhysRevE.56.6811 Hua, 2007, Numerical simulation of bubble rising in viscous liquid, J. Comput. Phys., 222, 769, 10.1016/j.jcp.2006.08.008 Inamuro, 2004, A lattice Boltzmann method for incompressible two-phase flows with large density differences, J. Comput. Phys., 198, 628, 10.1016/j.jcp.2004.01.019 Körner, 2005, Lattice Boltzmann model for free surface flow for modeling foaming, J. Stat. Phys., 121, 179, 10.1007/s10955-005-8879-8 Luo, 2000, Theory of the lattice Boltzmann method: lattice Boltzmann models for non-ideal gases, Phys. Rev., E62, 4982 McNamara, 1988, Use of the Boltzmann equation to simulate lattice–gas automata, Phys. Rev. Lett., 61, 2332, 10.1103/PhysRevLett.61.2332 Miller, 2002, A lattice boltzmann model for anisotropic crystal growth from melt, J. Stat. Phys., 107, 173, 10.1023/A:1014510704701 Palmer, 2000, Lattice Boltzmann algorithm for simulating thermal flow in compressible fluids, J. Comput. Phys., 161, 1, 10.1006/jcph.2000.6425 Semma, 2007, Lattice Boltzmann method for melting/solidification problems, C.R. Mecanique, 335, 295, 10.1016/j.crme.2007.05.015 Shan, 1997, Simulation of Rayleigh–Bernard convection using a lattice Boltzmann method, Phys. Rev., E55, 2780 Shan, 1993, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev., E47, 1815 Shi, 2009, Lattice Boltzmann model for nonlinear convection diffusion equations, Phys. Rev., E79, 016701 van Sint Annaland, 2005, Numerical simulation of gas bubbles behaviour using a three-dimensional volume of fluid method, Chem. Eng. Sci., 60, 2999, 10.1016/j.ces.2005.01.031 Szekely, 1979 Teixeira, 2000, Multi-speed thermal lattice Boltzmann method stabilization via equilibrium under-relaxation, Comput. Phys. Commun., 129, 207, 10.1016/S0010-4655(00)00108-9 Watari, 2004, Possibility of constructing a multispeed Bhatnagar-Gross-Krook thermal model of the lattice Boltzmann method, Phys. Rev. E, 70, 016703, 10.1103/PhysRevE.70.016703 Yan, 2006, Numerical modelling of a vapour bubble growth in uniformly superheated liquid, Int. J. Numer. Method H., 16, 764, 10.1108/09615530610683502 Yan, 2007, A lattice Boltzmann method for incompressible two-phase flows on partial wetting surface with large density ratio, J. Comput. Phys., 227, 763, 10.1016/j.jcp.2007.08.010 Zu, 2008, Numerical Method of lattice Boltzmann simulation for flow past a rotating circular cylinder with heat transfer, Int. J. Numer. Method H., 18, 766, 10.1108/09615530810885560