scholarly journals Mixed-Dimensional Geometric Multigrid Methods for Single-Phase Flow in Fractured Porous Media

2019 ◽  
Vol 41 (5) ◽  
pp. B1082-B1114 ◽  
Author(s):  
Andrés Arrarás ◽  
Francisco J. Gaspar ◽  
Laura Portero ◽  
Carmen Rodrigo
Keyword(s):  
Porous Media ◽  
Single Phase ◽  
Multigrid Methods ◽  
Fractured Porous Media ◽  
Phase Flow ◽  
Single Phase Flow ◽  
Geometric Multigrid

scholarly journals Benchmarks for single-phase flow in fractured porous media

2018 ◽  
Vol 111 ◽  
pp. 239-258 ◽  
Author(s):  
Bernd Flemisch ◽  
Inga Berre ◽  
Wietse Boon ◽  
Alessio Fumagalli ◽  
Nicolas Schwenck ◽  
...  
Keyword(s):  
Porous Media ◽  
Single Phase ◽  
Fractured Porous Media ◽  
Phase Flow ◽  
Single Phase Flow

scholarly journals Verification benchmarks for single-phase flow in three-dimensional fractured porous media

2021 ◽  
Vol 147 ◽  
pp. 103759 ◽  
Author(s):  
Inga Berre ◽  
Wietse M. Boon ◽  
Bernd Flemisch ◽  
Alessio Fumagalli ◽  
Dennis Gläser ◽  
...  
Keyword(s):  
Porous Media ◽  
Single Phase ◽  
Three Dimensional ◽  
Fractured Porous Media ◽  
Phase Flow ◽  
Single Phase Flow

scholarly journals A Galerkin‐free/equation‐free model reduction method for single‐phase flow in fractured porous media

2020 ◽  
Vol 8 (6) ◽  
pp. 1997-2010 ◽  
Author(s):  
Dongxu Han ◽  
Tingyu Li ◽  
Qingfeng Tang ◽  
Bo Yu ◽  
Dongliang Sun
Keyword(s):  
Porous Media ◽  
Model Reduction ◽  
Single Phase ◽  
Reduction Method ◽  
Fractured Porous Media ◽  
Phase Flow ◽  
Single Phase Flow ◽  
Free Model

scholarly journals GMsFEM on unstructured grids for single-phase flow in fractured porous media

2019 ◽  
Vol 1392 ◽  
pp. 012071
Author(s):  
Djulustan Nikiforov ◽  
Maria Vasilyeva ◽  
Yalchin Efendiev ◽  
Vasily Vasil’ev
Keyword(s):  
Porous Media ◽  
Single Phase ◽  
Unstructured Grids ◽  
Fractured Porous Media ◽  
Phase Flow ◽  
Single Phase Flow

Topology Optimization for the Single Phase Flow Using Two Point Flux Approximation Model

2013 ◽  
Author(s):  
Guang Dong ◽  
Yulan Song
Keyword(s):  
Porous Media ◽  
Topology Optimization ◽  
Optimization Problem ◽  
Single Phase ◽  
Flow In Porous Media ◽  
Phase Flow ◽  
Approximation Model ◽  
Single Phase Flow ◽  
Topology Optimization Problem ◽  
Flux Approximation

The topology optimization method is extended to solve a single phase flow in porous media optimization problem based on the Two Point Flux Approximation model. In particular, this paper discusses both strong form and matrix form equations for the flow in porous media. The design variables and design objective are well defined for this topology optimization problem, which is based on the Solid Isotropic Material with Penalization approach. The optimization problem is solved by the Generalized Sequential Approximate Optimization algorithm iteratively. To show the effectiveness of the topology optimization in solving the single phase flow in porous media, the examples of two-dimensional grid cell TPFA model with impermeable regions as constrains are presented in the numerical example section.

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