Asymptotic Analysis of the Lattice Boltzmann Equation

  title={Asymptotic Analysis of the Lattice Boltzmann Equation},
  author={Michael Junk and Axel Klar and Li-Shi Luo},
In this article we analyze the lattice Boltzmann equation (LBE) by using the asymptotic expansion technique. We first relate the LBE to the finite discrete-velocity model (FDVM) of the Boltzmann equation with the diffusive scaling. The analysis of this model directly leads to the incompressible Navier–Stokes equations, as opposed to the compressible Navier–Stokes equations obtained by the Chapman–Enskog analysis with convective scaling. We also apply the asymptotic analysis directly to the… CONTINUE READING
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