1. A hybrid high-order method for flow simulations in discrete fracture networks
- Author
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Florent Hédin, Géraldine Pichot, Alexandre Ern, Simulation for the Environment: Reliable and Efficient Numerical Algorithms (SERENA), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS), École des Ponts ParisTech (ENPC), This research has been partially supported by the LABEX AMIES ANR-10-LBX-0002-01 project.The authors are grateful to the LabCom fractory (CNRS,Université de Rennes 1 and Itasca Consultants) for providing the geometry and transmissivitydata for all the DFN considered in this paper. The authors warmly thank Nicolas Pignet (EDF)for many fruitful discussions related to DiSk++. Part of the simulations presented in thispaper were carried out using the PlaFRIM experimental testbed, supported by Inria, CNRS(LABRI and IMB), Université de Bordeaux, Bordeaux INP and Conseil Régional d’Aquitaine(see https://www.plafrim.fr/)., This research has been partially supported by the LABEX AMIES ANR-10-LBX-0002-01 project., and Hédin, Florent
- Subjects
Discrete fracture ,Materials science ,business.industry ,ComputingMethodologies_SIMULATIONANDMODELING ,010103 numerical & computational mathematics ,Mechanics ,[MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA] ,01 natural sciences ,010101 applied mathematics ,Permeability (earth sciences) ,Software ,Flow (mathematics) ,Fracture (geology) ,0101 mathematics ,High order ,business ,[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] ,ComputingMethodologies_COMPUTERGRAPHICS - Abstract
International audience; 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.
- Published
- 2019