Simulation of Plane Poiseuille Flow of a Rarefied Gas with an Extended Lattice Boltzmann Method

摘要

Several algorithmic extensions to the Lattice Boltzmann method (LBM) that permits its application to rarefied gas flows are presented. The accuracy of the new method is first demonstrated by validating the desired power-law viscosity-temperature relationship over the range of power-law exponents typically found in single component fluids. Next, the plane Poiseuille flow scenario is simulated for a series of Knudsen numbers, Kn, ranging from the continuum to the transition regimes, using a single computational framework. The reduced flow rate with the new approach is found to agree well with previously reported results for Kn < 1.