Boundary condition considerations in lattice Boltzmann formulations of wetting binary fluids

► We propose a new lattice Boltzmann scheme for binary-fluid surface interactions. ► A cubic form for the surface free energy density is used. ► The scheme eliminates spurious variations in the order parameter at solid boundaries. ► A large range of equilibrium contact angles can be simulated. ► Capillary intrusion can be simulated with high accuracy at relatively low resolution.