Benchmarking of three-dimensional multicomponent lattice Boltzmann equation

We present a challenging validation of phase field multicomponent lattice Boltzmann equation (MCLBE) simulation against the Re= 0 Stokes flow regime Taylor-Einstein theory of dilute suspension viscosity. By applying a number of recent advances in the understanding and the elimination of the interfacial microcurrent artefact, extending to a three-dimensional class of stability-enhancing multiple relaxation time collision models (which require no explicit collision matrix, note) and developing new interfacial interpolation schemes, we are able to obtain data that show that MCLBE may be applied in new flow regimes. Our data represent one of the most stringent tests yet attempted on LBE—one which received wisdom would preclude on grounds of overwhelming artefact flow.