참고문헌
- S. Chen and G. D. Doolen, 1998, 'Lattice Boltzmann method for fluid flows', Ann. Rev. Fluid Mech., Vol. 30, pp. 329-364 https://doi.org/10.1146/annurev.fluid.30.1.329
- D. O. Martınez,W. H. Matthaeus, S. Chen and D. C. Montgomery, 1994, 'Comparison of spectral method and lattice Boltzmann simulations of two-dimensional hydrodynamics', Phys. Fluids, Vol. 6, pp. 1285-1298 https://doi.org/10.1063/1.868296
- S. Hou, Q. Zou, S. Chen, G. D. Doolen and A. Cogley, 1995, 'Simulation of cavity flow by the lattice Boltzmann method', J. Comput. Phys., Vol. 118, pp. 329-347 https://doi.org/10.1006/jcph.1995.1103
- X. He, L. S. Luo and M. Dembo, 1996, 'Some progress in lattice Boltzmann method. I. nonuniform mesh grids', J. Comput. Phys., Vol. 129, pp. 357-363 https://doi.org/10.1006/jcph.1996.0255
- X. He and G. D. Doolen, 1997, 'Lattice Boltzmann method on curvilinear coordinates system: Flow around a circular cylinder', J. Comput. Phys., Vol. 134, pp. 306-315 https://doi.org/10.1006/jcph.1997.5709
- G. McNamara and B. Alder, 1993, 'Analysis of the lattice Boltzmann treatment of hydrodynamics', Physica A, Vol. 194, pp. 218-228 https://doi.org/10.1016/0378-4371(93)90356-9
- F. J. Alexander, S. Chen and J. D. Sterling, 1993, 'Lattice Boltzmann thermohydrodynamics', Phys. Rev. E, Vol. 47, R2249 https://doi.org/10.1103/PhysRevE.47.R2249
- Y. Chen, H. Ohashi and M. Akiyama, 1994, 'Thermal lattice Bhatnagar–Gross–Krook model without nonlinear deviations in macrodynamic equations', Phys. Rev. E, Vol. 50, pp. 2776-2783 https://doi.org/10.1103/PhysRevE.50.2776
- A. Bartoloni, C. Battista and S. Cabasino, 1993, 'LBE simulation of Rayleigh–Benard convection on the APE100 parallel processor', Int. J. Mod. Phys. C, Vol. 4, pp. 993-1006 https://doi.org/10.1142/S012918319300077X
- X. Shan, 1997, 'Simulation of Rayleigh–Benard convection using a lattice Boltzmann method', Phys. Rev. E, Vol. 55, pp.2780-2788 https://doi.org/10.1103/PhysRevE.55.2780
- X. He, S. Chen and G. D. Doolen, 1998, 'A novel thermal nodel for the lattice Boltzmann method in incompressible limit', J. Comput. Phys.,Vol. 146, pp. 282-300 https://doi.org/10.1006/jcph.1998.6057
- R. Cornubert, D. d'Humières and D. Levermore, 2002, 'A Knudsen layer theory for lattice gases', Physica D, Vol. 47, pp.241-259 https://doi.org/10.1016/0167-2789(91)90295-K
- D. P. Ziegler, 1992, 'Boundary conditions for lattice Boltzmann simulations', J. Stat. Phys., Vol.71, pp.1171-1177 https://doi.org/10.1007/BF01049965
- X. He, Q. Zou, L.S. Luo and M. Dembo, 1997, 'Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice Boltzmann BGK model', J. Stat. Phys., Vol. 87, No. 1-2, pp.115-136 https://doi.org/10.1007/BF02181482
- T. Inamuro, M. Yoshino and F. Ogino, 1995, 'A non-slip boundary condition for lattice Boltzmann simulations', Phys. Fluids, Vol.7, No.12, pp. 2928-2930 https://doi.org/10.1063/1.868766
- Q.S. Zou and X.Y. He, 1997, 'On pressure and velocity boundary conditions for the lattice Boltzmann BGK model', Phys. Fluids, Vol.9, No.6, pp.1591-1598 https://doi.org/10.1063/1.869307
- S. Chen, D. Martinez and R. Mei, 1996, 'On boundary conditions in lattice Boltzmann methods', Phys. Fluids, Vol.8, No.9, pp.2527-2536 https://doi.org/10.1063/1.869035
- Z.L. Guo, C.G. Zheng and B.C. Shi, 2002, 'Nonequilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method', Chinese Phys., Vol.11, pp.366-374 https://doi.org/10.1088/1009-1963/11/4/310
- A. D'Orazio, S. Succi and C. Arrighetti, 2003, 'Lattice Boltzmann simulation of open flows with heat transfer', Phys. Fluids, Vol.15, No.9, pp.2778-2781 https://doi.org/10.1063/1.1597681
- G.H. Tang, W.Q. Tao and Y.L. He, 2005, 'Thermal boundary condition for the thermal lattice Boltzmann equation', Phys Rev E, Vol.72, 016703 https://doi.org/10.1103/PhysRevE.72.016703
- Z.L. Guo, B. Shi and C. Zheng, 2002, 'A couple lattice BGK model for the Boussinesq equations', Int. J. Numer. Meth. Fludis, Vol.39, pp.325-342 https://doi.org/10.1002/fld.337
- P.G. Drazin, and W.H. Reid, 1981, 'Hydrodynamic Stability', Cambridge University Press
- J.R. Lee and M.Y. Ha, 2005, 'A numerical study of natural convection in a horizontal enclosure with a conducting body', Int. J. Heat Mass Transfer, Vol. 48, pp.3308-3318 https://doi.org/10.1016/j.ijheatmasstransfer.2005.02.026
- A. D'Orazio, M. Corcione and G.P. Celata, 2004, 'Application to natural convection enclosed flows of a lattice Boltzmann BGK coupled with a general purpose thermal boundary condition', Int. J. Thermal Science, Vol. 43, pp. 575-586 https://doi.org/10.1016/j.ijthermalsci.2003.11.002
- De Vahl Davis, 1983, 'Natural Convection of Air in a Square Cavity A Benchmark Numerical Solution', Int. J. Numer. Meth. Fluids, Vol.3, pp.249-264 https://doi.org/10.1002/fld.1650030305
- W. Brown, 1973, 'Heat flux transition at low Rayleigh number', J. Fluid Mech., Vol.60, pp.539-559 https://doi.org/10.1017/S0022112073000339