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The paper is devoted to the computation of two-phase flows in a porous medium
when applying the two-fluid approach.
The basic formulation is presented first, together with the main properties
of the model. A few basic analytic solutions are then provided, some of them corresponding
to solutions of the one-dimensional Riemann problem.
Three distinct Finite-Volume schemes are then introduced. The first two schemes, which rely on the Rusanov scheme,
are shown to give wrong approximations in some...
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