title: Interpolated lattice Boltzmann boundary conditions for surface reaction kinetics.
abstract: This paper describes a method for implementing surface reaction kinetics in lattice Boltzmann simulations. The interpolated boundary conditions are capable of simulating surface reactions and dissolution at both stationary and moving solid-fluid and fluid-fluid interfaces. Results obtained with the boundary conditions are compared to analytical solutions for first-order and constant-flux kinetic surface reactions in a one-dimensional half space, as well as to the analytical solution for evaporation from the surface of a cylinder. Excellent agreement between analytical and simulated results is obtained for a wide range of diffusivities, lattice velocities, and surface reaction rates. The boundary model's ability to represent dissolution in binary fluid mixtures is demonstrated by modeling diffusion from a rising bubble and dissolution of a droplet near a flat plate.
authors.affiliation: Department of Geology and Geophysics, University of Minnesota-Twin Cities, Minnesota 55455, USA. sdcwalsh@umn.edu
authors.forename: S D C
authors.initials: SD
authors.lastname: Walsh
authors.forename: M O
authors.initials: MO
authors.lastname: Saar