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Discontinuous Galerkin Method for Steady-State Richards Equation

Abstract : 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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https://hal-univ-tln.archives-ouvertes.fr/hal-02075109
Contributor : Frederic Golay <>
Submitted on : Monday, March 15, 2021 - 2:07:22 PM
Last modification on : Wednesday, March 24, 2021 - 5:38:09 PM
Long-term archiving on: : Wednesday, June 16, 2021 - 6:09:28 PM

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Jean-Baptiste Clément, Mehmet Ersoy, Frederic Golay, Damien Sous. Discontinuous Galerkin Method for Steady-State Richards Equation. Topical Problems of Fluid Mechanics 2019, Feb 2019, Prague, Czech Republic. pp.53-62, ⟨10.14311/TPFM.2019.008⟩. ⟨hal-02075109⟩

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