A hybrid high-order method for flow simulations in discrete fracture networks.

Florent Hédin (1, 2, 3) , Géraldine Pichot (1, 2) , Alexandre Ern (2, 1)

1 SERENA - Simulation for the Environment: Reliable and Efficient Numerical Algorithms
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
3 MATHERIALS - MATHematics for MatERIALS

We are interested in solving flow in large trimensional Discrete Fracture Networks (DFN) with the hybrid high-order (HHO) method. The objectives of this paper are: (1) to demonstrate the benefit of using a high-order method for computing macroscopic quantities, like the equivalent permeability of fracture rocks; (2) to present the computational efficiency of our C++ software, NEF++, which implements the solving of flow in fractures based on the HHO method.

Domaines: Analyse numérique [math.NA]

Florent Hédin, Géraldine Pichot, Alexandre Ern. A hybrid high-order method for flow simulations in discrete fracture networks.. Numerical Mathematics and Advanced Applications ENUMATH 2019, 139, Springer International Publishing, pp.521-529, 2021, Lecture Notes in Computational Science and Engineering, ⟨10.1007/978-3-030-55874-1_51⟩. ⟨hal-02315491v5⟩