  The aim of this work is to propose a provably convergent finite volume scheme
for the so-called Stefan-Maxwell model, which describes the evolution of the
composition of a multi-component mixture and reads as a cross-diffusion system.
The scheme proposed here relies on a two-point flux approximation, and
preserves at the discrete level some fundamental theoretical properties of the
continuous models, namely the non-negativity of the solutions, the conservation
of mass and the preservation of the volume-filling constraints. In addition,
the scheme satisfies a discrete entropy-entropy dissipation relation, very
close to the relation which holds at the continuous level. In this article, we
present this scheme together with its numerical analysis, and finally
illustrate its behaviour with some numerical results.
