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Vertex Approximate Gradient Discretization preserving positivity for two-phase Darcy flows in heterogeneous porous media

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Academic year: 2021

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Figure 1: Example of a 2D heterogeneous medium Ω partitioned in three rock type subdomains.
Figure 2: (Left): example of one cell k with a tetrahedron T k,σ,e of the sub-mesh T
Figure 3: Discrete phase pressures and saturations in the four cells k i , i = 1, · · · , 4 sharing the vertex s.
Figure 4: Geometry of the basin with the barrier subdomain Ω 1 , the drain subdomain Ω 2 , and the initial wetting phase saturation
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