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.
@article{M2AN_2008__42_1_93_0,
author = {Carfora, Maria Francesca and Natalini, Roberto},
title = {A discrete kinetic approximation for the incompressible Navier-Stokes equations},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {42},
year = {2008},
pages = {93-112},
doi = {10.1051/m2an:2007055},
mrnumber = {2387423},
zbl = {1135.76037},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2008__42_1_93_0}
}
Carfora, Maria Francesca; Natalini, Roberto. A discrete kinetic approximation for the incompressible Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 42 (2008) pp. 93-112. doi : 10.1051/m2an:2007055. http://gdmltest.u-ga.fr/item/M2AN_2008__42_1_93_0/
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