Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media

DOI10.1007/978-3-030-43651-3_17zbMath1454.65073arXiv2105.10150OpenAlexW3035033997MaRDI QIDQ5117438

Jakub Wiktor Both, Florin Adrian Radu, Jan Martin Nordbotten

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.10150

zbMATH Keywords

gradient flowmixed finite element methodporoelasticitymass lumpingBiotmultipoint flux approximationDarcy-Forchheimer

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Biomechanical solid mechanics (74L15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

Model adaptation for non-linear elliptic equations in mixed form: existence of solutions and numerical strategies ⋮ Robust A Posteriori Error Analysis for Rotation-Based Formulations of the Elasticity/Poroelasticity Coupling ⋮ Parameter‐robust mixed element method for poroelasticity with Darcy‐Forchheimer flow ⋮ A mixed element analysis of the Biot's model with <scp>Darcy–Forchheimer</scp> flow

Cites Work

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• A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
• Mixed Finite Element Methods and Applications
• A Multipoint Stress Mixed Finite Element Method for Elasticity on Simplicial Grids
• A Multipoint Flux Mixed Finite Element Method
• On a nonlinear system of Biot–Forchheimer type

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