Numerical modelling of nonlinear effects in laminar flow through a porous medium

DOI10.1017/S0022112088001375zbMath0644.76107MaRDI QIDQ3787715

Paul Morel, Olivier Coulaud, Jean Paul Caltagirone

Publication date: 1988

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

mixed finite-element methodForchheimer equationDarcy's equationinertial effects in a porous mediumnumerical resolution of flow equationsoperator- splitting methods

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Basic methods in fluid mechanics (76M99)

Related Items (9)

Computation of flow past a flat plate with porous trailing edge using a penalization method ⋮ Computing the apparent permeability of an array of staggered square rods using volume-penalization ⋮ Influence of inertia and drag terms on the stability of mixed convection in a vertical porous-medium channel ⋮ Error analysis for the finite element approximation of the Darcy-Brinkman-Forchheimer model for porous media with mixed boundary conditions ⋮ Non-Darcy flow in disordered porous media: a lattice Boltzmann study ⋮ Application of the finite volume method in the simulation of saturated flows of binary mixtures with particular emphasis on non-Darcy motions through porous media ⋮ Modeling of unsteady and steady fluid flow, heat transfer and dispersion in porous media using unit cell scale ⋮ Computation of spatially periodic flows based on the vorticity-stream function formulation ⋮ New insights on steady, nonlinear flow in porous media

Cites Work

• On a mixed finite element approximation of the Stokes problem. I: Convergence of the approximate solutions

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