A generalized periodic boundary condition for lattice Boltzmann method simulation of a pressure driven flow in a periodic geometry

Abstract

A new boundary closure scheme for the lattice Boltzmann method is proposed for a fully developed, pressure driven flow in a periodic geometry. The new boundary condition is of higher accuracy than that of Zhang and Kwok [Phys. Rev. E 73, 047702 (2006)]. The accuracy of the generalized periodic boundary condition is analyzed for both incompressible and compressible flows. A body forcing approach, where a pressure gradient is replaced by an equivalent body force, is also analyzed for a flow in a complex geometry and assessed using the generalized periodic boundary condition. © 2007 American Institute of Physics.