| Issue |
ESAIM: M2AN
Volume 42, Number 1, January-February 2008
|
|
|---|---|---|
| Page(s) | 93 - 112 | |
| DOI | https://doi.org/10.1051/m2an:2007055 | |
| Published online | 12 January 2008 | |
A discrete kinetic approximation for the incompressible Navier-Stokes equations
1
Istituto per le Applicazioni del Calcolo “M. Picone”,
Consiglio Nazionale delle Ricerche, Via P. Castellino, 111, 80131, Napoli, Italia. f.carfora@iac.cnr.it
2
Istituto per le Applicazioni del Calcolo “M. Picone”,
Consiglio Nazionale delle Ricerche, Viale del Policlinico 137, 00161 Roma, Italia. r.natalini@iac.cnr.it
Received:
24
May
2006
Revised:
19
April
2007
In this paper we introduce a new class of numerical schemes for the incompressible Navier-Stokes equations, which are inspired by the theory of discrete kinetic schemes for compressible fluids. For these approximations it is possible to give a stability condition, based on a discrete velocities version of the Boltzmann H-theorem. Numerical tests are performed to investigate their convergence and accuracy.
Mathematics Subject Classification: 65M06 / 76M20 / 76R
Key words: Incompressible fluids / kinetic schemes / BGK models / finite difference schemes.
© EDP Sciences, SMAI, 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.