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In this paper, a robust interfacial lattice Boltzmann flux solver (ILBFS) is presented to simulate multiphase flows, which is able to deal with large density contrasts. Different from the conventional finite-volume multiphase flow solvers, which calculate the fluxes at each cell interface based on macroscopic variables, the present method employs the Chapman–Enskog analysis to re-construct the convective and diffusive terms of the macroscopic governing equation, and uses the local equilibrium solutions of the lattice Boltzmann equation (LBE) for calculating the fluxes through the cell interface. As the phase information of multiphase flows is naturally brought by the LBE from both sides of the interface, the ILBFS simulating interfacial phenomena is more physical and precise. In addition, different from the conventional LB model for simulating the multiphase flows, the proposed ILBFS only applies LBE locally at each cell …