Geodesic
A discrete kinetic approximation for the incompressible Navier-Stokes equations
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 42 (2008) no. 1, pp. 93-112

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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.

DOI : 10.1051/m2an:2007055
Classification : 65M06, 76M20, 76R
Keywords: incompressible fluids, kinetic schemes, BGK models, finite difference schemes 
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     title = {A discrete kinetic approximation for the incompressible {Navier-Stokes} equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {93--112},
     publisher = {EDP-Sciences},
     volume = {42},
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     year = {2008},
     doi = {10.1051/m2an:2007055},
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     zbl = {1135.76037},
     language = {en},
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Carfora, Maria Francesca; Natalini, Roberto. A discrete kinetic approximation for the incompressible Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 42 (2008) no. 1, pp. 93-112. doi: 10.1051/m2an:2007055

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