title: Adaptive generalized periodic boundary conditions for lattice Boltzmann simulations of pressure-driven flows through confined repetitive geometries.
abstract: An algorithm for an adaptive boundary condition for the simulation of fully developed, pressure driven flows using the lattice-Boltzmann method is introduced. The method simulates the effect of the solid walls confining a structure with dual periodicity, such as used in microfluidic devices. We combine a recently introduced boundary condition by Kim and Pitsch [Phys. Fluids 19, 108101 (2007)] for the treatment of pressure driven flows in periodic structures with a controller loop that adjusts a perpendicular pressure gradient to suppress any net momentum perpendicular to the outer walls. The method's accuracy in asymmetric geometries is tested against a periodic array structure that uses regularized zero-velocity boundary conditions as outer walls.
authors.affiliation: Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China. graeser@phy.cuhk.edu.hk
authors.forename: Oliver
authors.initials: O
authors.lastname: Gräser
authors.forename: Andrej
authors.initials: A
authors.lastname: Grimm