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Sequential implicit Vertex Approximate Gradient discretization of incompressible two-phase Darcy flows with discontinuous capillary pressure

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Academic year: 2021

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Figure 1: Example of parametrization of the capillary pressure graphs based on a switch of variables between the drain and barrier non-wetting phase saturations and the capillary pressure
Figure 2: (Left): example of one cell k with a tetrahedron T k,σ,e of the sub-mesh T
Figure 3: Example of a 2D mesh with the interface Γ in bold. (Left): primary unknowns at a given cell k ∈ M, node s 0 ∈ V \ V Γ and interface node s ∈ V Γ
Figure 5: Non-wetting phase saturation at final time obtained with the FIM, SIM-Γ and IMPIMS VAG HU schemes with (left): p e = 0, b b = 6 10 5 and b d = 10 5 Pa, (middle):
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