A robust lattice Boltzmann method for parallel simulations of multicomponent flows in complex geometries

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Abstract In this work, we are concerned with robust parallel simulations of multicomponent flows in complex geometries by an extended lattice Boltzmann method. In Zudrop et al. (2014) [22] we presented a model for the incompressible Navier–Stokes and Maxwell–Stefan diffusion equations. Here, we prove that the implicit-to-explicit variable transformation of the model is well-posed under weak constraints on the dimensionless Maxwell–Stefan diffusivities. Furthermore, we analyze various boundary conditions for the multicomponent lattice Boltzmann model. These results make the model robust and well suited for complex geometries, which allows us to study realistic, large-scale mass transport applications.