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Applied and Industrial Mathematics in Italy III
In this paper a numerical approach for binary fluid mixtures is proposed. A lattice Boltzmann algorithm for the continuity and the Navier-Stokes equations is coupled to a finite-difference scheme for the convection-diffusion equation. A free-energy is used to derive the thermodynamic quantities related to the equilibrium properties of the system. Spurious velocities are reduced by using a general stencil scheme for discretizing spatial derivatives.doi:10.1142/9789814280303_0050 fatcat:3a7xqvuvjbbjzikz4rkz4fff2m