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Journal Articles SMAI Journal of Computational Mathematics Year : 2022

Hybrid high-order methods for flow simulations in extremely large discrete fracture networks

Abstract

We investigate the computational performance of hybrid high-order methods applied to flow simulations in extremely large discrete fracture networks (over one million of fractures). We study the choice of basis functions, the trade-off between increasing the polynomial order and refining the mesh, and how to take advantage of polygonal cells to reduce the number of degrees of freedom.
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Dates and versions

hal-03480570 , version 1 (14-12-2021)
hal-03480570 , version 2 (18-11-2022)

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Alexandre Ern, Florent Hédin, Géraldine Pichot, Nicolas Pignet. Hybrid high-order methods for flow simulations in extremely large discrete fracture networks. SMAI Journal of Computational Mathematics, 2022, 8, pp.375-398. ⟨10.5802/smai-jcm.92⟩. ⟨hal-03480570v2⟩
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