M.
Hénon
Laboratoire de Physique Statistique, 75231, Paris Cedex 05, France
Laboratoire de Physique Statistique
CNRS, Observatoire de Nice, 06003, Nice Cedex, France
1187-1226
articles
2019-04-10T13:11
1990-06-01
false
research_article
1990-06
A class of lattice gas models are studied which are variants of the FCHC model. The aim is to achieve the highest possible Reynolds coefficient (inverse dimensionless viscosity) for efficient simulations of the three-dimensional incompressible Navier-Stokes equations. The models include an arbitrary number of rest particles and violation of semi-detailed balance. Within the framework of the Boltzmann approximation exact expressions are obtained for the Reynolds coefficients. The minimization of the viscosity is done by solving a Hitchcock-type optimization problem for the fine tuning of the collision rules. When the number of rest particles exceeds one, there is a range of densities at which the viscosity takes negative values. Various optimal models with up to 26 bits per node have been implemented on a CRAY-2 and their true transport coefficients have been measured with good accuracy. Fairly large discrepancies with Boltzmann values are observed when semi-detailed balance is violated; in particular, no negative viscosity is obtained. Still, the best model has a Reynolds coefficient of 13.5, twice that of the best previously implemented model, and thus is about 16 times more efficient computationally. Suggestions are made for further improvements. It is proposed to use models with very high Reynolds coefficients for sub-grid-scale modeling of turbulent flows.
https://scigraph.springernature.com/explorer/license/
Low-viscosity lattice gases
http://link.springer.com/10.1007/BF01334747
en
B.
Dubrulle
59
pub.1029138993
dimensions_id
Rivet
J. -P.
0022-4715
Journal of Statistical Physics
1572-9613
5-6
10.1007/bf01334747
doi
Springer Nature - SN SciGraph project
Mathematical Sciences
École Normale Supérieure
École Normale Supérieure, 75005, Paris, France
Observatoire Midi-Pyrénées, 31400, Toulouse, France
Frisch
U.
readcube_id
8ad04ad009553103a264738b7ea23af4a67cd7ab8996732bab7c14ce70e9b455
Applied Mathematics
French National Centre for Scientific Research
CNRS, Observatoire de Nice, 06003, Nice Cedex, France