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Multi-component lattice Boltzmann models operating in a wide range of fluidviscosity values are developed and examined. The algorithm is constructed withthe goal to enable engineering applications without sacrificing simplicity andcomputational efficiency present in the original Shan-Chen model and D3Q19lattice scheme. Boundary conditions for modeling friction and wettabilityeffects are developed for discrete representation of surfaces within avolumetric approach, which results in accurate flow simulation in complexgeometry. Numerical validation of our models includes comparison to previousstudies and analytical solutions. The results are shown to be robust andaccurate up to an extremely small kinematic viscosity value of $0.0017$ latticeunits and the extremely high ratio of components' kinematic viscosities ofhundreds and up to a thousand. This improvement is significant compared toprevious studies with Shan-Chen model \cite{2013_Yang,2004_Kang,2010_Dong}, inwhich reasonable accuracy was kept only at the viscosity ratio up to 10 in thePoiseuille flow and the fingering simulation.

Multi-component lattice Boltzmann models for accurate simulation of flows with wide viscosity variation