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finite difference schemes.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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A discrete kinetic approximation for the incompressible Navier-Stokes equations
Maria Francesca Carfora, Roberto Natalini
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 42 / Issue 1 / January 2008

Published online by Cambridge University Press:

12 January 2008, pp. 93-112

Print publication:

January 2008
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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.