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A finite difference interpretation of the lattice Boltzmann method
Authors:Michael Junk
Abstract:Compared to conventional techniques in computational fluid dynamics, the lattice Boltzmann method (LBM) seems to be a completely different approach to solve the incompressible Navier–Stokes equation. The aim of this article is to correct this impression by showing the close relation of LBM to two standard methods: relaxation schemes and explicit finite difference discretizations. As a side effect, new starting points for a discretization of the incompressible Navier–Stokes equation are obtained. © John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 17:383 402, 2001
Keywords:discrete velocity models  lattice Boltzmann method  low Mach number limit  incompressible Navier–  Stokes equation  finite difference method  relaxation systems  pseudo‐compressibility methods
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