Volume 42, Number 1, January-February 2008
|Page(s)||93 - 112|
|Published online||12 January 2008|
A discrete kinetic approximation for the incompressible Navier-Stokes equations
Istituto per le Applicazioni del Calcolo “M. Picone”,
Consiglio Nazionale delle Ricerche, Via P. Castellino, 111, 80131, Napoli, Italia. firstname.lastname@example.org
2 Istituto per le Applicazioni del Calcolo “M. Picone”, Consiglio Nazionale delle Ricerche, Viale del Policlinico 137, 00161 Roma, Italia. email@example.com
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
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