DISCONTINUOUS GALERKIN METHOD FOR STEADY-STATE RICHARDS EQUATION | Zendy

Jean-Baptiste Clément | Zendy; Mehmet Ersoy | Zendy; Frédéric Golay | Zendy; Damien Sous | Zendy

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DISCONTINUOUS GALERKIN METHOD FOR STEADY-STATE RICHARDS EQUATION

Author(s) -

Jean-Baptiste Clément,

Mehmet Ersoy,

Frédéric Golay,

Damien Sous

Publication year - 2019

Publication title -

hal (le centre pour la communication scientifique directe)

Language(s) - English

Resource type - Conference proceedings

DOI - 10.14311/tpfm.2019.008

Subject(s) - richards equation , discontinuous galerkin method , galerkin method , nonlinear system , mathematics , work (physics) , flow (mathematics) , range (aeronautics) , porous medium , steady state (chemistry) , finite element method , porosity , geotechnical engineering , geometry , physics , geology , engineering , thermodynamics , chemistry , quantum mechanics , aerospace engineering , water content

This work is devoted to the numerical simulation of flows in partially saturated porous media. We describe the Richards equation governing the subsurface flow and discuss its range of applicability. A discontinuous Galerkin formulation is used to approximate the steady-state Richards equation. To this end, we present the mathematical framework and a procedure for solving the nonlinear equation. Numerical tests are carried out to highlight properties of the discontinuous Galerkin method and a test case is compared to experimental data to validate the model.

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