NUMERICAL SIMULATION OF A SINGLE RING INFILTRATION EXPERIMENT WITH hp-ADAPTIVE SPACE-TIME DISCONTINUOUS GALERKIN METHOD

We present a novel hp-adaptive space-time discontinuous Galerkin (hp-STDG) method for the numerical solution of the nonstationary Richards equation equipped with Dirichlet, Neumann and seepage face boundary conditions. The hp-STDG method presented in this paper is a generalization of a hp-STDG metho...

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Published inActa polytechnica (Prague, Czech Republic : 1992) Vol. 61; no. SI; pp. 59 - 67
Main Authors Dolejší, Vít, Kuráž, Michal, Solin, Pavel
Format Journal Article
LanguageEnglish
Published CTU Central Library 10.02.2021
Subjects
porous media flow
richards equation
space-time discontinuous galerkin method
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Summary:We present a novel hp-adaptive space-time discontinuous Galerkin (hp-STDG) method for the numerical solution of the nonstationary Richards equation equipped with Dirichlet, Neumann and seepage face boundary conditions. The hp-STDG method presented in this paper is a generalization of a hp-STDG method which was developed for time dependent non-linear convective-diffusive problems. We describe the method and the single ring experiment, and then we present a numerical experiment which clearly demonstrates the superiority of the hp-STDG method over a discontinuous Galerkin method based on a static fine mesh.
ISSN:1210-2709
1805-2363
DOI:10.14311/AP.2021.61.0059