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Combined face based and nodal based discretizations on hybrid meshes for non-isothermal two-phase Darcy flow problems

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Academic year: 2021

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Figure 1: Illustration on a 2D mesh of the partition of the cells between the VAG cells K ∈ M v , the HFV cells K ∈ M h and the interface cells K ∈ M hv
Figure 2: Hexahedral mesh obtained for N = 8 and composed of cubic cells in the HFV subdomain Ω \ Ω v and of randomly perturbated cubic cells in the VAG subdomain Ω v = (0.25, 0.75) 3 .
Figure 4: Hybrid mesh obtained for N = 8 and composed of cubes in the HFV subdomain Ω \Ω v and of pyramids in the VAG subdomain Ω v = (0.25, 0.75) 3 .
Figure 5: Convergence in L 2 norm of the potential (left) and of the gradient (right) on the family of hybrid meshes and for the VAG, HFV, VAG-HFV and the stabilised VAG-HFV schemes.
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