%0 Journal Article %T High-order lattice Boltzmann models for gas flow for a wide range of Knudsen numbers %+ Institut des Sciences de la Terre d'Orléans (ISTO) %+ Institut de Combustion, Aérothermique, Réactivité et Environnement (ICARE) %A de Izarra, Léonard %A Rouet, Jean-Louis %A Izrar, Boujema %Z The authors benefited from the use of the cluster at the Centre de Calcul Scientifique en R'egion Centre. %< avec comité de lecture %@ 1539-3755 %J Physical Review E : Statistical, Nonlinear, and Soft Matter Physics %I American Physical Society %V 84 %P 066705 (7 pages) %8 2011 %D 2011 %R 10.1103/PhysRevE.84.066705 %Z Sciences of the Universe [physics]/OtherJournal articles %X 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. %G English %2 https://insu.hal.science/insu-00685403/document %2 https://insu.hal.science/insu-00685403/file/EZ10541.pdf %L insu-00685403 %U https://insu.hal.science/insu-00685403 %~ INSU %~ UNIV-TOURS %~ CNRS %~ UNIV-ORLEANS %~ ISTO %~ OSUC %~ GIP-BE %~ CNRS_ICARE %~ TEST3-HALCNRS