Solvability of the Brinkman-Forchheimer-Darcy equation

DOI10.1155/2017/7305230zbMath1437.76048arXiv1610.08646OpenAlexW2737380452WikidataQ59145177 ScholiaQ59145177MaRDI QIDQ670449

Juan-Miguel Gracia

Publication date: 18 March 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08646

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (5)

Local projection stabilization for linearized Brinkman–Forchheimer–Darcy equation ⋮ Analysis of Brinkman-Forchheimer extended Darcy's model in a fluid saturated anisotropic porous channel ⋮ A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem ⋮ Error analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditions ⋮ A posteriori error estimates for the Brinkman-Darcy-Forchheimer problem

Uses Software

• MooNMD

Cites Work

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• MooNMD -- a program package based on mapped finite element methods
• Steady nonlinear double-diffusive convection in a porous medium based upon the Brinkman-Forchheimer model
• Homogenization and porous media
• The Darcy-Forchheimer law for modelling fluid flow in biological tissues
• Finite Element Methods for Navier-Stokes Equations
• Finite Element Approximation of Viscous Flows with Varying Density
• A Mixed Formulation for the Brinkman Problem

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