Eur. Phys. J. Appl. Phys. (2016) 73: 20901
https://doi.org/10.1051/epjap/2016150396

Regular Article

Modeling of thin heterogeneous sheets in the discontinuous Galerkin method for 3D transient scattering problems^*

Group of Electrical Engineering – Paris (GeePs), UMR CNRS 8507, CentraleSupelec, Univ. Paris-Sud, Sorbonne Université, UPMC Univ. Paris 06, 11 rue Joliot Curie, Plateau de Moulon, 91192 Gif-sur-Yvette Cedex, France

^a e-mail: mohamed.boubekeur@centralesupelec.fr

Received: 30 July 2015
Revised: 6 November 2015
Accepted: 12 January 2016
Published online: 22 February 2016

Abstract

This paper presents a modeling of heterogeneous sheets in the time domain discontinuous Galerkin method. An homogenization model combined to a sheet interface condition is used to avoid the mesh of these sheets in order to study the transient response of heterogeneous enclosures. The validation of this approach is based on a comparison with the case when the sheet is meshed. To illustrate the efficiency of the interface condition, the simulation of a 3D cavity is performed.