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Design of coupled finite volume schemes minimizing the grid orientation effect in reservoir simulation

Abstract : In this paper, we propose an analysis method for the so-called grid orientation effect (GOE) in the numerical simulation of two-phase flows in porous media. The GOE, which occurs when using coupled finite volume schemes on structured grids, is well known to engineers. Several attempts, most of which are of empirical nature, have been put forward in order to alleviate this undesirable phenomenon. Here, our approach relies on a more rigorous notion of angular error for all directions, which in turn enables us-via integration and minimization-to single out the "least anisotropic" scheme within a given family of schemes depending on some tuning parameter(s). Numerical test problems testify to the improvement brought by the new construction.
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https://hal-ifp.archives-ouvertes.fr/hal-03106837
Contributor : Nadine Couëdel <>
Submitted on : Tuesday, January 12, 2021 - 10:28:59 AM
Last modification on : Wednesday, January 13, 2021 - 3:25:27 AM
Long-term archiving on: : Tuesday, April 13, 2021 - 6:16:47 PM

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Karine Laurent, Éric Flauraud, Christophe Preux, Quang Huy Tran, Christophe Berthon. Design of coupled finite volume schemes minimizing the grid orientation effect in reservoir simulation. Journal of Computational Physics, Elsevier, 2021, 425, pp.109923. ⟨10.1016/j.jcp.2020.109923⟩. ⟨hal-03106837⟩

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