... finite difference methods flow simulation Knudsen flow lattice Boltzmann methods Navier-Stokes equations slip flow Flows of a rarefied gas or flows on a small geometric scale possess substantial nonequilibrium effects. Such flows follow rarefied gas dynamics where many of the continuum flow...

...S. C. Fu; W. W. F. Leung; R. M. C. So Conventional lattice Boltzmann method (LBM) is hyperbolic and can be solved locally, explicitly, and efficiently on parallel computers. The LBM has been applied to different types of complex flows with varying degrees of success, and with increased attention...

... density variations. The proposed nonlocal pressure is implemented in the mean-field free energy lattice Boltzmann method (LBM). The LBM is applied to simulate equilibrium liquid-vapor interface properties and interface dynamics of capillary waves and oscillating droplets in vapor. Computed results...