Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation

Journal Article · Thu Mar 31 23:00:00 EST 1994 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.49.2941· OSTI ID:5020512

Shan, X ^[1]; Chen, H ^[2]

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1. Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire, 03755-3528 (United States)

We describe in detail a recently proposed lattice-Boltzmann model [X. Shan and H. Chen, Phys. Rev. E 47, 1815 (1993)] for simulating flows with multiple phases and components. In particular, the focus is on the modeling of one-component fluid systems which obey nonideal gas equations of state and can undergo a liquid-gas-type phase transition. The model is shown to be momentum conserving. From the microscopic mechanical stability condition, the densities in bulk liquid and gas phases are obtained as functions of a temperaturelike parameter. Comparisons with the thermodynamic theory of phase transitions show that the lattice-Boltzmann-equation model can be made to correspond exactly to an isothermal process. The density profile in the liquid-gas interface is also obtained as a function of the temperaturelike parameter and is shown to be isotropic. The surface tension, which can be changed independently, is calculated. The analytical conclusions are verified by numerical simulations.

• OSTI ID: 5020512
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 49:4; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
COMPUTERIZED SIMULATION
DENSITY
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
ISOTHERMAL PROCESSES
MULTIPHASE FLOW
PARTIAL DIFFERENTIAL EQUATIONS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SIMULATION
TEMPERATURE DEPENDENCE
VAPOR CONDENSATION