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APS » Journals » Phys. Rev. E » Volume 57 » Issue 1
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Phys. Rev. E 57, R13–R16 (1998)

Discrete Boltzmann equation model for nonideal gases

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Xiaoyi He1,2, Xiaowen Shan2,3, and Gary D. Doolen2
1Center for Nonlinear Studies, MS-B258 Los Alamos National Laboratory, Los Alamos, New Mexico 87545
2Complex System Group, MS-B213, Theoretical Division Los Alamos National Laboratory, Los Alamos, New Mexico 87545
3PL/GPAA, Phillips Laboratory, Hanscom Air Force Base, Massachusetts 01731

Received 10 July 1997; published in the issue dated January 1998

A discrete model based on the Boltzmann equation with a body force and a single relaxation time collision model is derived for simulations of nonideal-gas flow. The interparticle interaction is treated using a mean-field approximation. The Boltzmann equation is discretized in a way that preserves the derivation of the hydrodynamic equations from the Boltzmann equation, using either the Chapman-Enskog method or the Grad 13-moment method. The previously proposed nonideal-gas lattice Boltzmann equation model can be analyzed with rigor.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.57.R13
DOI:
10.1103/PhysRevE.57.R13
PACS:
47.55.Kf, 02.70.-c, 05.70.Ln, 51.20.+d
 
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