A domain decomposition method for solving flow in stochastic Discrete Fracture Networks (DFN) on non conforming mesh

Géraldine Pichot; Baptiste Poirriez; Jocelyne Erhel; Jean-Raynald De Dreuzy

A domain decomposition method for solving flow in stochastic Discrete Fracture Networks (DFN) on non conforming mesh

Géraldine Pichot ¹ Baptiste Poirriez ¹ Jocelyne Erhel ¹ Jean-Raynald De Dreuzy ²

1 SAGE - Simulations and Algorithms on Grids for Environment

Inria Rennes – Bretagne Atlantique , IRISA-D1 - SYSTÈMES LARGE ÉCHELLE

Abstract : Non conforming mesh in DFN yields easier mesh adaptivity which is useful as flow is mostly localized. The matrix shape of the linear system encourages the use of DD Methods. We use the BDD Mortar method proposed in ıt (Pencheva and Yotov, 2003), ıt (Poirriez, 2011). The coarse level is defined following ıt (Tang et al., 2009). Balancing is implemented as a preconditioning matrix ıt (Erhel and Guyomarc'h, 2000). The algorithm is implemented in the parallel software SIDNUR ıt (Poirriez, 2011). We present the decomposition of the linear system in local matrices and apply the BDD Mortar method to networks satisfying some hypotheses on the mesh.

Type de document :

Communication dans un congrès

Domain Decomposition Methods in Science and Engineering XXII (DD22), 2013, Lugano, Switzerland. 2013

Domaine :

Mathématiques [math] / Analyse numérique [math.NA]

Liste complète des métadonnées

https://hal.inria.fr/hal-00907467
Contributeur : Géraldine Pichot <>
Soumis le : jeudi 21 novembre 2013 - 12:20:30
Dernière modification le : vendredi 15 mars 2019 - 13:17:32

A domain decomposition method for solving flow in stochastic Discrete Fracture Networks (DFN) on non conforming mesh

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A domain decomposition method for solving flow in stochastic Discrete Fracture Networks (DFN) on non conforming mesh

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