Volume 69, Number 4, February 2005
|Page(s)||549 - 555|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||19 January 2005|
Lattice Boltzmann method at finite Knudsen numbers
Istituto Applicazioni Calcolo, CNR - V.le del Policlinico 137, 00161, Roma, Italy
2 INFM, Sezione di Roma “Tor Vergata” - Via della Ricerca Scientifica 1 I-00133 Roma, Italy
Accepted: 15 December 2004
A modified lattice Boltzmann model with a stochastic relaxation mechanism mimicking “virtual” collisions between free-streaming particles and solid walls is introduced. This modified scheme permits to compute plane channel flows in satisfactory agreement with analytical results over a broad spectrum of Knudsen numbers, ranging from the hydrodynamic regime, all the way to quasi-free flow regimes up to .
PACS: 47.11.+j – Computational methods in fluid dynamics / 47.15.-x – Laminar flows / 67.40.Hf – Hydrodynamics in specific geometries, flow in narrow channels
© EDP Sciences, 2005
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