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.

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Cite this paper

@article{Walsh2010InterpolatedLB, title={Interpolated lattice Boltzmann boundary conditions for surface reaction kinetics.}, author={Stuart D. C. Walsh and Martin O. Saar}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2010}, volume={82 6 Pt 2}, pages={066703} }