A nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility

Axel Modave 1 Andreas Atle 2 Jesse Chan 3 Tim Warburton 4
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We present the coupling of a nodal discontinu-ous Galerkin (DG) scheme with high-order absorbing boundary conditions (HABCs) for the simulation of transient wave phenomena. The HABCs are prescribed on the faces of a cuboidal domain in order to simulate infinite space. To preserve accuracy at the corners and the edges of the domain, novel compatibility conditions are derived. The method is validated using 3D computational results.
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Axel Modave, Andreas Atle, Jesse Chan, Tim Warburton. A nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility. WAVES 2017 - 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, May 2017, Minneapolis, United States. ⟨hal-01573689⟩

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