Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation

American Physical Society (APS) - Tập 56 Số 6 - Trang 6811-6817
Xiaoyi He1,2, Li–Shi Luo2,3
1Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
2Complex Systems Group T-13, MS-B213, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
3ICASE, MS 403, NASA Langley Research Center, 6 North Dryden Street, Building 1298, Hampton, Virginia 23681-0001

Tóm tắt

Từ khóa


Tài liệu tham khảo

G. McNamara, 1988, Phys. Rev. Lett., 61, 2332, 10.1103/PhysRevLett.61.2332

F. J. Higuera, 1989, Europhys. Lett., 9, 345, 10.1209/0295-5075/9/4/008

H. Chen, 1991, Phys. Rev. A, 45, R5339, 10.1103/PhysRevA.45.R5339

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

1990, Lattice Gas Methods for Partial Differential Equations

1991, Lattice Gas Methods: Theory, Applications, and Hardware

R. Benzi, 1992, Phys. Rep., 222, 145, 10.1016/0370-1573(92)90090-M

S. Chen, 1991, Phys. Rev. Lett., 67, 3776, 10.1103/PhysRevLett.67.3776

X. Shan, 1993, Phys. Rev. E, 47, 1815, 10.1103/PhysRevE.47.1815

M. R. Swift, 1995, Phys. Rev. Lett., 75, 830, 10.1103/PhysRevLett.75.830

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

B. M. Boghosian, 1996, Proc. R. Soc. Ser. A, 452, 1221, 10.1098/rspa.1996.0063

S. Chen, 1995, Comput. Chem. Eng., 19, 617, 10.1016/0098-1354(94)00072-7

S. Chen, 1991, Physica D, 47, 72, 10.1016/0167-2789(91)90281-D

U. Frisch, 1986, Phys. Rev. Lett., 56, 1505, 10.1103/PhysRevLett.56.1505

S. Wolfram, 1986, J. Stat. Phys., 45, 471, 10.1007/BF01021083

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

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

S. Harris, 1971, An Introduction to the Theory of the Boltzmann Equation

R. L. Liboff, 1990, Kinetic Theory

J. M. V. A. Koelman, 1991, Europhys. Lett., 15, 603, 10.1209/0295-5075/15/6/007

G. McNamara, 1993, Physica A, 194, 218, 10.1016/0378-4371(93)90356-9

F. J. Alexander, 1993, Phys. Rev. E, 47, R2249, 10.1103/PhysRevE.47.R2249

Y. Chen, 1994, Phys. Rev. E, 50, 2766, 10.1103/PhysRevB.50.2766

G. McNamara, 1995, J. Stat. Phys., 81, 395, 10.1007/BF02179986

S. Succi, 1995, J. Stat. Phys., 81, 5, 10.1007/BF02179964

X. He, 1997, Phys. Rev. E, 55, R6333, 10.1103/PhysRevE.55.R6333

X. He, 1996, J. Comput. Phys., 129, 357, 10.1006/jcph.1996.0255

X. He, 1997, Physica A, 239, 276, 10.1016/S0378-4371(96)00486-4

K. H. Prendergast, 1993, J. Comput. Phys., 109, 53, 10.1006/jcph.1993.1198

K. Xu, 1993, J. Comput. Phys., 114, 9, 10.1006/jcph.1994.1145

K. Xu, 1995, J. Comput. Phys., 120, 48, 10.1006/jcph.1995.1148

K. Xu, 1995, J. Stat. Phys., 81, 147, 10.1007/BF02179973

K. Xu, 1996, Int. J. Comput. Fluid Dyn., 7, 213, 10.1080/10618569608940763

K. Xu, 1997, J. Comput. Phys., 134, 122, 10.1006/jcph.1997.5677

A. D. Kotelnikov, 1997, J. Comput. Phys., 134, 364, 10.1006/jcph.1997.5720

C. D. Levermore, 1996, J. Stat. Phys., 83, 1021, 10.1007/BF02179552

P. J. Davis, 1984, Methods of Numerical Integration, 2nd ed.

N. M. Steen, 1969, Math. Comput., 23, 661