| Issue |
Europhys. Lett.
Volume 73, Number 3, February 2006
|
|
|---|---|---|
| Page(s) | 370 - 376 | |
| Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
| DOI | https://doi.org/10.1209/epl/i2005-10404-8 | |
| Published online | 23 December 2005 | |
A note on the lattice Boltzmann method beyond the Chapman-Enskog limits
1
Dipartimento di Fisica, Università “Tor Vergata”, and INFN Via della Ricerca Scientifica 1, I-00133 Roma, Italy
2
CNR, IAC - Viale del Policlinico 137, I-00161 Roma, Italy
Received:
8
September
2005
Accepted:
2
December
2005
A non-perturbative analysis of the Bhatnagar-Gross-Krook (BGK)
model kinetic equation for finite values of the Knudsen
number is presented.
This analysis indicates why discrete kinetic versions of the BGK
equation, and notably the lattice Boltzmann method, can provide
semi-quantitative results also in the non-hydrodynamic,
finite-Knudsen regime, up to 
. This challenges the pessimistic stance, according to which the lattice Boltzmann method should only be used for strictly hydrodynamic purposes.
It may also help the interpretation of recent simulations
of microflows, which show satisfactory agreement with continuum kinetic
theory in the moderate-Knudsen regime.
PACS: 47.11+j – Computational methods in fluid dynamics / 47.45-n – Rarefied gas dynamics
© EDP Sciences, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.