Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

Discontinuous Galerkin Method for Steady-State Richards Equation
J.-B. Clément, M. Ersoy, F. Golay, D. Sous
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.
Keywords:
Discontinuous Galerkin method, Richards equation, nonlinear resolution, unsaturated porous media

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2019.008

In Proceedings Topical Problems of Fluid Mechanics 2019, Prague, 2019 Edited by David Šimurda and Tomáš Bodnár, pp. 53-62 ISBN 978-80-87012-69-7 (Print) ISSN 2336-5781 (Print)