Reliable a posteriori mesh adaptivity in Discrete Fracture Network flow simulations

被引：12
|
作者：
Berrone, S. [1 ,2 ]
Borio, A. [1 ,2 ]
Vicini, F. [1 ,2 ]
机构：
[1] Politecn Torino, Dipartimento Sci Matemat, Corso Duca Abruzzi 24, I-10129 Turin, Italy
[2] INdAM Res Grp GNCS, Bari, Italy
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2019年 / 354卷
关键词：
Discrete Fracture Network flow simulations; Simulations in complex geometries; Mesh adaptivity; A posteriori error estimates; VIRTUAL ELEMENT METHOD; CONSTRAINED OPTIMIZATION FORMULATION; HYBRID MORTAR METHOD; STEADY-STATE FLOW; SOLVING FLOW; POROUS-MEDIA; CONFORMING MESHES; DARCY FLOW; MATRIX; DISCRETIZATION;
D O I：
10.1016/j.cma.2019.06.007
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A new approach for the flow simulation in very complex Discrete Fracture Networks (DFNs) based on PDE-constrained optimization has been recently proposed in Berrone et al. (2013, 2014) with the aim of improving robustness with respect to geometrical complexities. In Berrone et al. (2016) a rigorous derivation of "a posteriori" error estimates has been performed, proving an equivalence relation between the discretization error and suitable quantities that are computable from the discrete solution and the problem data. In this paper, the previous results are applied to several fracture networks in order to investigate mesh adaptivity applied to complex realistic fracture networks. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：904 / 931
页数：28
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