Spectral discretization of Darcy's equations with pressure dependent porosity

DOI10.1016/j.amc.2010.06.014zbMath1342.76090OpenAlexW2076891703MaRDI QIDQ606692

Nejmeddine Chorfi, Christine Bernardi, Faker Ben Belgacem, Mejdi Aza ıïez

Publication date: 18 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.06.014

zbMATH Keywords

axisymmetric domainspectral discretizationDarcy's equationspressure dependent porosity

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Flows in porous media; filtration; seepage (76S05) Spectral methods applied to problems in fluid mechanics (76M22)

Related Items

A mixed finite element method for Darcy’s equations with pressure dependent porosity ⋮ Nonlinear Darcy fluid flow with deposition ⋮ Mortar finite element discretization of the time dependent nonlinear Darcy's equations ⋮ Spectral discretization of an unsteady flow through a porous solid ⋮ Generalized Newtonian fluid flow through a porous medium ⋮ An adaptive stabilized finite element method for the Darcy's equations with pressure dependent viscosities ⋮ Finite element discretization of Darcy's equations with pressure dependent porosity ⋮ Finite element discretization of the time dependent axisymmetric Darcy problem ⋮ The Darcy problem with porosity depending exponentially on the pressure

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