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

Vít Dolejší | Zendy; Michal Kuráž | Zendy; Pavel Šolı́n | Zendy

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

Author(s) -

Vít Dolejší,

Michal Kuráž,

Pavel Šolı́n

Publication year - 2021

Publication title -

acta polytechnica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.207

H-Index - 15

eISSN - 1805-2363

pISSN - 1210-2709

DOI - 10.14311/ap.2021.61.0059

Subject(s) - discontinuous galerkin method , galerkin method , mathematics , generalization , mathematical analysis , space (punctuation) , dirichlet distribution , dirichlet boundary condition , boundary value problem , finite element method , computer science , physics , thermodynamics , operating system

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.

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