A one-domain approach for modeling and simulation of free fluid over a porous medium

DOI10.1016/j.jcp.2013.12.008zbMath1349.76810OpenAlexW2001481387MaRDI QIDQ348744

Mohammad Hasan, M. Dambrine

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.12.008

zbMATH Keywords

porous mediumboundary layermatched asymptotic expansionBrinkman equationDarcy-Stokes equationeffective interface condition

Mathematics Subject Classification ID

Related Items (9)

Unconditionally energy stable schemes for fluid-based topology optimization ⋮ Falling film on an anisotropic porous medium ⋮ A continuous one-domain framework for fluid flow in superposed clear and porous media ⋮ Triply periodic minimal surfaces based topology optimization for the hydrodynamic and convective heat transfer ⋮ A new numerical \textit{mesoscopic scale} one-domain approach solver for free fluid/porous medium interaction ⋮ Adaptive HDG methods for the Brinkman equations with application to optimal control ⋮ Two-dimensional Stokes flows in porous medium composed of a large number of circular inclusions ⋮ Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model ⋮ Optimal convergence analysis of a fully discrete scheme for the stochastic Stokes-Darcy equations

Uses Software

• Matlab
• DistMesh

Cites Work

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• Non-homogeneous media and vibration theory
• Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
• On the asymptotics of the fluid flow past an array of fixed obstacles
• Momentum transfer at the boundary between a porous medium and a homogeneous fluid. I: Theoretical development. II: Comparison with experiment
• Momentum transport at a fluid-porous interface.
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• Asymptotic Analysis of the Laminar Viscous Flow Over a Porous Bed
• On the Boundary Condition at the Surface of a Porous Medium
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman
• A Simple Mesh Generator in MATLAB
• Convection in Porous Media
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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