Simulation of Rayleigh-Bénard convection using a lattice Boltzmann method

American Physical Society (APS) - Tập 55 Số 3 - Trang 2780-2788
Xiaowen Shan1,2
1U.S. Air Force Phillips Laboratory, Hanscom Air Force Base, Massachusetts 01731
2and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Tóm tắt

Từ khóa


Tài liệu tham khảo

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

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

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

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

H. Chen, 1992, 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

S. Chen, 1992, J. Stat. Phys., 68, 379, 10.1007/BF01341754

D. O. Martínez, 1994, Phys. Fluids, 6, 1285, 10.1063/1.868296

S. Hou, 1995, J. Comput. Phys., 118, 329, 10.1006/jcph.1995.1103

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

X. Shan, 1994, Phys. Rev. E, 49, 2941, 10.1103/PhysRevE.49.2941

N. Martys, 1996, Phys. Rev. E, 53, 743, 10.1103/PhysRevE.53.743

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

Y. Chen, 1995, Phys. of Fluids, 7, 2280, 10.1063/1.868771

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

C. Burges, 1987, Complex Syst., 1, 31

X. Shan, 1995, J. Stat. Phys., 81, 379, 10.1007/BF02179985

F. H. Busse, 1986, Hydrodynamic Instabilities and the Transition to Turbulence, 2nd ed.

J. A. Domaradzki, 1988, J. Fluid Mech., 193, 499, 10.1017/S002211208800223X

F. Massaioli, 1993, Europhys. Lett., 21, 3, 10.1209/0295-5075/21/3/009

F. Massaioli, 1995, Eur. J. Fluids, 14, 1

E. D. Siggia, 1994, Annu. Rev. Fluid Mech., 26, 137, 10.1146/annurev.fl.26.010194.001033

S. Chapman, 1970, The Mathematical Theory of Non-Uniform Gases, 3rd ed.

X. Shan, 1996, Phys. Rev. E, 54, 3614, 10.1103/PhysRevE.54.3614

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

I. Ginzbourg, 1994, J. Phys. II (France), 4, 191, 10.1051/jp2:1994123

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

Q. Zou, 1995, J. Stat. Phys., 81, 319, 10.1007/BF02179981

I. Ginzbourg, 1995, J. Stat. Phys., 84, 927, 10.1007/BF02174124

R. M. Clever, 1974, J. Fluid Mech., 65, 625, 10.1017/S0022112074001571

J. B. McLaughlin, 1982, J. Fluid Mech., 122, 123, 10.1017/S0022112082002122