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A discrete kinetic approximation for the incompressible Navier-Stokes equations

Published online by Cambridge University Press:  12 January 2008

Maria Francesca Carfora  and
Roberto Natalini
Maria Francesca Carfora
Affiliation:
Istituto per le Applicazioni del Calcolo “M. Picone”, Consiglio Nazionale delle Ricerche, Via P. Castellino, 111, 80131, Napoli, Italia. [email protected]
Roberto Natalini
Affiliation:
Istituto per le Applicazioni del Calcolo “M. Picone”, Consiglio Nazionale delle Ricerche, Viale del Policlinico 137, 00161 Roma, Italia. [email protected]
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Abstract

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.

Keywords

Incompressible fluidskinetic schemesBGK modelsfinite difference schemes.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 42 , Issue 1 , January 2008 , pp. 93 - 112
Copyright
© EDP Sciences, SMAI, 2008

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