Geometric multigrid methods for Darcy-Forchheimer flow in fractured porous media

DOI10.1016/j.camwa.2019.04.031zbMath1443.76209arXiv1811.02988OpenAlexW2963892345WikidataQ127826235 ScholiaQ127826235MaRDI QIDQ2203563

Laura Portero, Andrés Arrarás, Francisco José Gaspar, Carmen Rodrigo

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02988

zbMATH Keywords

finite volumesfractured porous mediageometric multigridDarcy-Forchheimer

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (2)

Dual-grid mapping method for the advection-diffusion-reaction equation in a heterogeneous medium ⋮ A meshless geometric multigrid method based on a node-coarsening algorithm for the linear finite element discretization

Cites Work

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• TP or not TP, that is the question
• Modeling fractures as interfaces: A model for Forchheimer fractures
• Numerical discretization of a Darcy-Forchheimer model
• Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
• The virtual element method for discrete fracture network simulations
• A block-centered finite difference method for slightly compressible Darcy-Forchheimer flow in porous media
• Monolithic multigrid method for the coupled Stokes flow and deformable porous medium system
• Multigrid methods for a mixed finite element method of the Darcy-Forchheimer model
• A multipoint flux mixed finite element method for the compressible Darcy-Forchheimer models
• A review of the XFEM-based approximation of flow in fractured porous media
• Analysis of expanded mixed finite element methods for the generalized forchheimer flows of slightly compressible fluids
• A mixed finite element method for Darcy flow in fractured porous media with non-matching grids
• A reduced model for Darcy’s problem in networks of fractures
• A Generalized Mixed Hybrid Mortar Method for Solving Flow in Stochastic Discrete Fracture Networks
• Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy–Forchheimer flow in the fracture
• A Two-Grid Block-Centered Finite Difference Method For Darcy--Forchheimer Flow in Porous Media
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Écoulements en milieu poreux n'obéissant pas à la loi de Darcy
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Asymptotic and numerical modelling of flows in fractured porous media
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• A two‐grid stabilized mixed finite element method for Darcy‐Forchheimer model
• Mixed finite element methods for generalized Forchheimer flow in porous media
• A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
• Well Posedness of Fully Coupled Fracture/Bulk Darcy Flow with XFEM
• Uzawa Smoother in Multigrid for the Coupled Porous Medium and Stokes Flow System
• The effect of weak inertia on flow through a porous medium
• Regularity of the solution of Darcy-Forchheimer's equation

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