Lattice Boltzmann model with generalized wall boundary conditions for arbitrary catalytic reactivity

A lattice Boltzmann model for multispecies flows with catalytic reactions is developed, which valid from very low to high surface Damk\"ohler numbers (${\text{Da}}_{\text{s}}$). The previously proposed [S. Arcidiacono, J. Mantzaras, and I. V. Karlin, Phys. Rev. E 78, 046711 (2008)], applicable low-to-moderate ${\text{Da}}_{\text{s}}$ encompasses part of the mixed kinetics transport-controlled regime, revisited extended simulation arbitrary kinetics-to-transport rate ratios, including strongly conditions (${\text{Da}}_{\text{s}}\ensuremath{\rightarrow}\ensuremath{\infty}$). boundary condition modified by bringing nonlocal information on wall reactive nodes, allowing accurate evaluation chemical rates even when concentration deficient reactant at becomes vanishingly small. developed validated against a finite volume Navier-Stokes CFD (Computational Fluid Dynamics) solver total oxidation methane in an isothermal channel-flow configuration. simulations old new reaction models are compared each other. demonstrates second order accuracy space time provides results ($\ensuremath{\sim}{\text{10}}^{\text{9}}$) where fails. Moreover, achieve same moderate-to-high $O(1)$, requires $\ensuremath{\sim}{2}^{d}\ifmmode\times\else\texttimes\fi{}N$ coarser grid than original model, $d$ spatial dimension $N$ number species.