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

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

1 ENPC - École des Ponts ParisTech
2 SERENA - Simulation for the Environment: Reliable and Efficient Numerical Algorithms
3 EDF - EDF

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.

Domaines: Analyse numérique [math.NA]

Alexandre Ern, Florent Hédin, Géraldine Pichot, Nicolas Pignet. Hybrid high-order methods for flow simulations in extremely large discrete fracture networks. 2021. ⟨hal-03480570v1⟩