A hybrid mortar virtual element method for discrete fracture network simulations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:306

Article

Benedetto, Matias Fernando¹  Berrone, Stefano¹  Borio, Andrea¹  Pieraccini, Sandra¹  Scialo, Stefano¹ 

[1] Politecn Torino, Dipartimento Sci Matemat, I-10129 Turin, Italy

关键词: Discrete fracture networks;    Virtual element method;    Mortar method;    Fracture flows;    Darcy flows;   

DOI  :  10.1016/j.jcp.2015.11.034

来源: Elsevier

【 摘 要 】

The most challenging issue in performing underground flow simulations in Discrete Fracture Networks (DFN) is to effectively tackle the geometrical difficulties of the problem. In this work we put forward a new application of the Virtual Element Method combined with the Mortar method for domain decomposition: we exploit the flexibility of the VEM in handling polygonal meshes in order to easily construct meshes conforming to the traces on each fracture, and we resort to the mortar approach in order to weakly impose continuity of the solution on intersecting fractures. The resulting method replaces the need for matching grids between fractures, so that the meshing process can be performed independently for each fracture. Numerical results show optimal convergence and robustness in handling very complex geometries. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free