ANNEXE E: ETUDE DE LA CONVERGENCE A PARTIR DE LA PROPRIETE DE SYMETRIE DU TENSEUR DE PERMEABILITE VISQUEUSE DANS LES MATERIAUX POREUX

摘要: Based on a previously demonstrated symmetry property of the dynamic permeability second order tensor in porous media, this paper presents some two-dimensional numerical computations for the low and high frequency values of the asymptotic permeability tensor ky (&>). Contrary to previous works, where this symmetry property is theoretically demonstrated, or mentioned, but never explicitly illustrated; here we provide the reader with a detailed numerical determination of k01j and kxij components for a simple anisotropic porous structure. This suggests that a systematic checking of this property may be used as a convergence criterion in the rapid growing field of numerical homogenization in acoustics.