A discrete kinetic approximation for the incompressible Navier-Stokes equations

DOI10.1051/m2an:2007055zbMath1135.76037OpenAlexW2119859351WikidataQ57776936 ScholiaQ57776936MaRDI QIDQ5447491

Maria Francesca Carfora, Roberto Natalini

Publication date: 6 March 2008

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/194402

zbMATH Keywords

convergencefinite difference schemeBGK modelBoltzmann H-theorem

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (9)

Vectorial finite-difference-based lattice Boltzmann method: consistency, boundary schemes and stability analysis ⋮ Uniform Asymptotic and Convergence Estimates for the Jin--Xin Model Under the Diffusion Scaling ⋮ Seven-velocity three-dimensional vectorial lattice Boltzmann method including various types of approximations to the pressure and two-parameterized second-order boundary treatments ⋮ Convergence of a vector-BGK approximation for the incompressible Navier-Stokes equations ⋮ Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations ⋮ Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations ⋮ CONVERGENCE OF A BGK APPROXIMATION OF THE ISENTROPIC EULER EQUATIONS ⋮ Approximation of the multi-dimensional incompressible Navier-Stokes equations by discrete-velocity vector-BGK models ⋮ Strong convergence of a vector-BGK model to the incompressible Navier-Stokes equations via the relative entropy method

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