Lattice Boltzmann method at finite Knudsen numbersF. Toschi1, 2 and S. Succi1
1 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
received 17 September 2004; accepted in final form 15 December 2004
published online 19 January 2005
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 .
47.11.+j - Computational methods in fluid dynamics.
47.15.-x - Laminar flows.
67.40.Hf - Hydrodynamics in specific geometries, flow in narrow channels.
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