Issue |
EPL
Volume 81, Number 3, February 2008
|
|
---|---|---|
Article Number | 34005 | |
Number of page(s) | 6 | |
Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
DOI | https://doi.org/10.1209/0295-5075/81/34005 | |
Published online | 03 January 2008 |
Galilean invariance of lattice Boltzmann models
Exa Corporation - 3 Burlington Woods Drive, Burlington, MA 01803, USA
Received:
26
September
2007
Accepted:
4
December
2007
It is well known that the original lattice Boltzmann (LB) equation deviates from the Navier-Stokes equations due to an unphysical velocity-dependent viscosity. This unphysical dependence violates the Galilean invariance and limits the validation domain of the LB method to near incompressible flows. As previously shown, recovery of correct transport phenomena in kinetic equations depends on the higher hydrodynamic moments. In this letter, we give specific criteria for recovery of various transport coefficients. The Galilean invariance of a general class of LB models is demonstrated via numerical experiments.
PACS: 47.11.-j – Computational methods in fluid dynamics / 05.20.Dd – Kinetic theory / 47.40.-x – Compressible flows; shock waves
© EPLA, 2008
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.