Numerical modeling of the acoustic wave propagation across an homogenized rigid microstructure in the time domain - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Computational Physics Année : 2017

Numerical modeling of the acoustic wave propagation across an homogenized rigid microstructure in the time domain

Bruno Lombard
  • Fonction : Auteur
  • PersonId : 830034
Agnes Maurel
Jean-Jacques Marigo

Résumé

Homogenization of a thin micro-structure yields effective jump conditions that incorporate the geometrical features of the scatterers. These jump conditions apply across a thin but nonzero thickness interface whose interior is disregarded. This paper aims (i) to propose a numerical method able to handle the jump conditions in order to simulate the homogenized problem in the time domain, (ii) to inspect the validity of the homogenized problem when compared to the real one. For this purpose, we adapt the Explicit Simplified Interface Method originally developed for standard jump conditions across a zero-thickness interface. Doing so allows us to handle arbitrary-shaped interfaces on a Cartesian grid with the same efficiency and accuracy of the numerical scheme than those obtained in an homogeneous medium. Numerical experiments are performed to test the properties of the numerical method and to inspect the validity of the homogenization problem.
Fichier principal
Vignette du fichier
Jcp8.pdf (2.22 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01348416 , version 1 (23-07-2016)
hal-01348416 , version 2 (23-01-2017)

Identifiants

Citer

Bruno Lombard, Agnes Maurel, Jean-Jacques Marigo. Numerical modeling of the acoustic wave propagation across an homogenized rigid microstructure in the time domain. Journal of Computational Physics, 2017, 335, pp.558-577. ⟨10.1016/j.jcp.2017.01.036⟩. ⟨hal-01348416v2⟩
783 Consultations
318 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More