Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation

We present numerical evidence indicating that some essential fluid flows at finite Knudsen number (Kn) can be quantitatively simulated by an extended lattice Boltzmann model. The extension is based on the kinetic theory formulation of the lattice Boltzmann method that includes a third order equilibrium distribution function, a sufficiently accurate Gauss-Hermite quadrature, and a regularization procedure. Results from force-driven Poiseuille flow simulations correctly predict the Knudsen's minimum and the asymptotic behavior of flow flux at large Kn