Multireflection boundary conditions for lattice Boltzmann models

Irina Ginzburg1, Dominique d’Humières2
1Fraunhofer Institut für Techno- und Wirtschaftsmathematik, Gottlieb-Daimler-Strasse 49, Kaiserslautern, D-67663, Germany
2Laboratoire de Physique Statistique de l’École Normale Supérieure, 24 Rue Lhomond, 75321 Paris Cedex 05, France

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Tài liệu tham khảo

R. Cornubert, 1991, Physica D, 47, 241, 10.1016/0167-2789(91)90295-K

I. Ginzbourg, 1994, J. Phys. II, 4, 191

D.P. Ziegler, 1993, J. Stat. Phys., 71, 1171, 10.1007/BF01049965

P.A. Skordos, 1993, Phys. Rev. E, 48, 4823, 10.1103/PhysRevE.48.4823

D.R. Noble, 1995, Phys. Fluids, 7, 203, 10.1063/1.868767

D.R. Noble, 1995, J. Stat. Phys., 81, 17, 10.1007/BF02179965

T. Inamuro, 1995, Phys. Fluids, 7, 2928, 10.1063/1.868766

I. Ginzbourg, 1996, J. Stat. Phys., 84, 927, 10.1007/BF02174124

O. Filippova, 1998, Int. J. Mod. Phys. C, 9, 1271, 10.1142/S012918319800114X

H. Chen, 1998, Int. J. Mod. Phys. C, 9, 1281, 10.1142/S0129183198001151

R. Mei, 1999, J. Comput. Phys., 155, 307, 10.1006/jcph.1999.6334

M. Bouzidi, 2001, Phys. Fluids, 13, 3452, 10.1063/1.1399290

R. Verberg, 2001, Phys. Rev. E, 65, 016701, 10.1103/PhysRevE.65.016701

M. Rohde, 2002, Phys. Rev. E, 65, 056701, 10.1103/PhysRevE.65.056701

D. Yu, 2003, Prog. Aerosp. Sci., 39, 329, 10.1016/S0376-0421(03)00003-4

D. d’Humières, 1992, Prog. Astronaut. Aeronaut., 59, 450

P. Lallemand, 2000, Phys. Rev. E, 61, 6546, 10.1103/PhysRevE.61.6546

D. d’Humières, 2001, Phys. Rev. E, 63, 066702, 10.1103/PhysRevE.63.066702

D. d’Humières, 2002, Philos. Trans. R. Soc. London, Ser. A, 360, 437, 10.1098/rsta.2001.0955

U. Frisch, 1987, Complex Syst., 1, 649

X. He, 1997, J. Stat. Phys., 88, 927, 10.1023/B:JOSS.0000015179.12689.e4

A.J.C. Ladd, 1994, J. Fluid Mech., 271, 285, 10.1017/S0022112094001771

A.J.C. Ladd, 1994, J. Fluid Mech., 271, 311, 10.1017/S0022112094001783

J.M. Buick, 2000, Phys. Rev. E, 61, 5307, 10.1103/PhysRevE.61.5307

Y. Qian, 1992, Europhys. Lett., 17, 479, 10.1209/0295-5075/17/6/001

H. Chen, 1992, Phys. Rev. A, 45, R5339, 10.1103/PhysRevA.45.R5339

H. Hasimoto, 1959, J. Fluid Mech., 5, 317, 10.1017/S0022112059000222

A.S. Sangani, 1982, Int. J. Multiphase Flow, 8, 343, 10.1016/0301-9322(82)90047-7

A.S. Sangani, 1982, Int. J. Multiphase Flow, 8, 193, 10.1016/0301-9322(82)90029-5

P. Lallemand, 2003, J. Comput. Phys., 184, 406, 10.1016/S0021-9991(02)00022-0

D.A. Edwards, 1990, Phys. Fluids A, 2, 45, 10.1063/1.857691

C. Ghaddar, 1995, Phys. Fluids, 7, 2563, 10.1063/1.868706

A.J.C. Ladd, 1997, J. Fluid Mech., 349, 31, 10.1017/S002211209700671X

M. Tözeren, 1983, J. Fluid Mech., 129, 77, 10.1017/S0022112083000658

C.K. Aidun, 1998, J. Fluid Mech., 373, 287, 10.1017/S0022112098002493

M.W. Heemels, 2000, J. Comput. Phys., 164, 48, 10.1006/jcph.2000.6564

P.L. Bhatnagar, 1954, Phys. Rev., 94, 511, 10.1103/PhysRev.94.511