Séminaire des équipes-projets
Some convergence results for numerical schemes approximating two phase flow in porous media
- Date : 11/02/2014
- Lieu : Amphithéâtre Alan Turing, 10 H, Bâtiment 1, Inria Paris-Rocquencourt
- Intervenant(s) : Robert EYMARD (Université Paris-Est Marne-la-Vallée)
- Organisateur(s) : Irene Vignon-Clementel et Martin Vohralik
This talk is focused on the mathematical study of numerical schemes, devoted to the approximation of two-phase flow in porous media. The main difficulty in this study is the difference between the continuous setting, where a large class of test functions is available, and the discrete one, where the discrete space operators are limiting the possibilities for choosing test functions. This difficulty is explored on different examples of two-phase flow models. In some of them, convergence proofs are only completed in the case of two-point flux approximation for the diffusion terms.