Performance assessment of a new class of local absorbing boundary conditions for elliptical- and prolate spheroidal-shaped boundaries - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Applied Numerical Mathematics Year : 2009

Performance assessment of a new class of local absorbing boundary conditions for elliptical- and prolate spheroidal-shaped boundaries

Abstract

New approximate local DtN boundary conditions are proposed to be applied on elliptical- or prolate-spheroid exterior boundaries when solving respectively two- or three-dimensional acoustic scattering problems by elongated obstacles. These new absorbing conditions are designed to be exact for the first modes. They can be easily incorporated in any finite element parallel code while preserving the local structure of the algebraic system. Unlike the standard approximate local DtN boundary conditions that are restricted to circular- or spherical-shaped boundaries, the proposed conditions are applicable to exterior elliptical-shaped boundaries that are more suitable for surrounding elongated scatterers because they yield to smaller computational domains. The mathematical and numerical analysis of the effect of the frequency and the eccentricity values of the boundary on the accuracy of these conditions, when applied for solving radiating and scattering problems, reveals - in particular - that the new second-order DtN boundary condition retains a good level of accuracy, in the low frequency regime, regardless of the slenderness of the boundary.
Fichier principal
Vignette du fichier
APNUM_revised151008.pdf (2.05 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

inria-00338494 , version 1 (13-11-2008)

Identifiers

Cite

Hélène Barucq, Rabia Djellouli, Anne-Gaëlle Saint-Guirons. Performance assessment of a new class of local absorbing boundary conditions for elliptical- and prolate spheroidal-shaped boundaries. Applied Numerical Mathematics, 2009, 59 (7), pp.1467-1498. ⟨10.1016/j.apnum.2008.10.001⟩. ⟨inria-00338494⟩
157 View
262 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More