High-order lattice Boltzmann models for gas flow for a wide range of Knudsen numbers

Abstract : The lattice Boltzmann methods (LBMs) have successfully been applied to microscale flows in the hydrodynamic regime, such as flows of liquids in porous media. However, the LBM in its standard formulation does not produce correct results beyond the hydrodynamic regime, i.e., for slip and transitional ones. Following the work of Shan and He [ Phys. Rev. Lett. 80 65 (1998)], we propose to extend the LBM to these regimes in which nonequilibrium effects are obvious and require us to include a larger number of distribution-function moments.
Document type :
Journal articles
Complete list of metadatas

Cited literature [18 references]  Display  Hide  Download

https://hal-insu.archives-ouvertes.fr/insu-00685403
Contributor : Nathalie Pothier <>
Submitted on : Thursday, April 5, 2012 - 9:30:07 AM
Last modification on : Wednesday, September 25, 2019 - 2:56:02 PM
Long-term archiving on: Wednesday, December 14, 2016 - 7:56:38 PM

File

EZ10541.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Léonard de Izarra, Jean-Louis Rouet, Boujema Izrar. High-order lattice Boltzmann models for gas flow for a wide range of Knudsen numbers. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2011, 84, 066705 (7 p.). ⟨10.1103/PhysRevE.84.066705⟩. ⟨insu-00685403⟩

Share

Metrics

Record views

252

Files downloads

537