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Discrete lattice effects on the forcing term in the lattice Boltzmann method. (English) Zbl 1244.76102
Summary: We show that discrete lattice effects must be considered in the introduction of a force into the lattice Boltzmann equation. A representation of the forcing term is then proposed. With the representation, the Navier-Stokes equation is derived from the lattice Boltzmann equation through the Chapman-Enskog expansion. Several other existing force treatments are also examined.

MSC:
76M28 Particle methods and lattice-gas methods
82C80 Numerical methods of time-dependent statistical mechanics (MSC2010)
82C40 Kinetic theory of gases in time-dependent statistical mechanics
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References:
[1] Y. Qian, Annu. Rev. Comput. Phys. 3 pp 195– (1995)
[2] S. Chen, Annu. Rev. Fluid Mech. 30 pp 329– (1998) · Zbl 1398.76180
[3] Y. Qian, Europhys. Lett. 17 pp 479– (1992) · Zbl 1116.76419
[4] A.J.C. Ladd, J. Stat. Phys. 104 pp 1191– (2001) · Zbl 1046.76037
[5] J.M. Buick, Phys. Rev. E 61 pp 5307– (2000)
[6] N.S. Martys, Phys. Rev. E 58 pp 6855– (1998)
[7] L.-S. Luo, Phys. Rev. Lett. 81 pp 1618– (1998)
[8] L.-S. Luo, Phys. Rev. E 62 pp 4982– (2000)
[9] X. He, J. Stat. Phys. 87 pp 115– (1997) · Zbl 0937.82043
[10] X. He, Phys. Rev. E 57 pp R13– (1998)
[11] S. Chen, Phys. Fluids 8 pp 2527– (1996) · Zbl 1027.76630
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