| Issue |
Europhys. Lett.
Volume 42, Number 4, May II 1998
|
|
|---|---|---|
| Page(s) | 359 - 364 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1998-00255-3 | |
| Published online | 01 September 2002 | |
Complete Galilean-invariant lattice BGK models for the Navier-Stokes equation
1
Department of Applied Physics and Applied Mathematics,
Columbia University, New York, NY 10027, USA
2
IBM Research Division, T.J. Watson Research Center, P.O.Box 218,
Yorktown Heights, NY 10598, USA and Institute for Computer Applications
in Science & Engineering, NASA Langley Research Center - Hampton, VA 23681, USA
Received:
5
January
1998
Accepted:
19
March
1998
Galilean invariance has been an important issue in lattice-based
hydrodynamics models. Previous models concentrated on
the nonlinear advection term. In this paper, we take into account the
nonlinear response effect in a systematic way. Using the Chapman-Enskog expansion up to
second order, complete Galilean invariant lattice BGK models in one dimension (
)
and two dimensions (
)
for the Navier-Stokes equation have been obtained.
PACS: 02.60.Cb – Numerical simulation; solution of equations / 51.10.+y – Kinetic and transport theory of gases
© EDP Sciences, 1998
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.