Velocity discretization for lattice Boltzmann method for noncontinuum bounded gas flows at the micro- and nanoscale

The lattice Boltzmann (LB) method intrinsically links to the equation with Bhatnagar-Gross-Krook collision operator; however, it has been questioned be able simulate noncontinuum bounded gas flows at micro and nanoscale, where moves a low speed but large Knudsen number. In this article, point verified by simulating Couette moderate numbers (e.g., Kn=10 Kn=100) linearized LB models based on popular half-space Gaussian Hermite (HGH) quadrature. underlying cause for poor accuracy of these conventional is analyzed in light numerical evaluation involved Abramowitz functions. A different thought velocity discretization then proposed using Gauss Legendre (LG) Strikingly, resulting GL-based have achieved high strong transition even free molecular flow regimes. study article reveals an essentially while workable way constructing nanoscale low-speed effects.