| Issue |
EPL
Volume 81, Number 3, February 2008
|
|
|---|---|---|
| Article Number | 34001 | |
| Number of page(s) | 6 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/81/34001 | |
| Published online | 21 December 2007 | |
Lattice Boltzmann method for inhomogeneous fluids
1
INFM-SOFT, Dipartimento di Fisica, Università di Roma and Istituto Nazionale di Fisica della Materia Piazzale A. Moro 2, 00185, Roma, Italy
2
INFM-SOFT, Dipartimento di Fisica, Università di Camerino and Istituto Nazionale di Fisica della Materia Via Madonna delle Carceri, 62032, Camerino, Italy
Received:
4
September
2007
Accepted:
26
November
2007
We present a lattice-based numerical method to describe the non-equilibrium behavior of a simple fluid under non-uniform spatial conditions. The evolution equation for the one-particle phase-space distribution function is derived starting from a microscopic description of the system. It involves a series of approximations which are similar to those employed in theories of inhomogeneous fluids, such as the density functional theory. Among the merits of the present approach: the possibility to determine the equation of state of the model, the transport coefficients and to provide an efficient method of numerical solution under non-uniform conditions. The algorithm is tested in a particular non-equilibrium situation, namely the steady flow of a hard-sphere fluid across a narrow slit. Pronounced non-hydrodynamic oscillations in the density and velocity profiles are found.
PACS: 47.11.-j – Computational methods in fluid dynamics / 47.61.-k – Micro- and nano- scale flow phenomena / 61.20.-p – Structure of liquids
© EPLA, 2008
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