A discrete kinetic approximation for the incompressible Navier-Stokes equations

Maria Francesca Carfora; Roberto Natalini

ESAIM: Mathematical Modelling and Numerical Analysis (2008)

  • Volume: 42, Issue: 1, page 93-112
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Carfora, Maria Francesca, and Natalini, Roberto. "A discrete kinetic approximation for the incompressible Navier-Stokes equations." ESAIM: Mathematical Modelling and Numerical Analysis 42.1 (2008): 93-112. <http://eudml.org/doc/250377>.

@article{Carfora2008,
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. },
author = {Carfora, Maria Francesca, Natalini, Roberto},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Incompressible fluids; kinetic schemes; BGK models; finite difference schemes.; BGK model; finite difference scheme; Boltzmann H-theorem; convergence},
language = {eng},
month = {1},
number = {1},
pages = {93-112},
publisher = {EDP Sciences},
title = {A discrete kinetic approximation for the incompressible Navier-Stokes equations},
url = {http://eudml.org/doc/250377},
volume = {42},
year = {2008},
}

TY - JOUR
AU - Carfora, Maria Francesca
AU - Natalini, Roberto
TI - A discrete kinetic approximation for the incompressible Navier-Stokes equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2008/1//
PB - EDP Sciences
VL - 42
IS - 1
SP - 93
EP - 112
AB - 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.
LA - eng
KW - Incompressible fluids; kinetic schemes; BGK models; finite difference schemes.; BGK model; finite difference scheme; Boltzmann H-theorem; convergence
UR - http://eudml.org/doc/250377
ER -

References

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