Multi-domain boundary element method for axi-symmetric layered linear acoustic systems

Paul Reiter, Harald Ziegelwanger

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

Abstract

Homogeneous porous materials like rock wool or synthetic foam are the main tool for acoustic absorption. The conventional absorbing structure for sound-proofing consists of one or multiple absorbers placed in front of a rigid wall, with or without air-gaps in between. Various models exist to describe these so called multi-layered acoustic systems mathematically for incoming plane waves. However, there is no efficient method to calculate the sound field in a half space above a multi layered acoustic system for an incoming spherical wave. In this work, an axi-symmetric multi-domain boundary element method (BEM) for absorbing multi layered acoustic systems and incoming spherical waves is introduced. In the proposed BEM formulation, a complex wave number is used to model absorbing materials as a fluid and a coordinate transformation is introduced which simplifies singular integrals of the conventional BEM to non-singular radial and angular integrals. The radial and angular part are integrated analytically and numerically, respectively. The output of the method can be interpreted as a numerical half space Green´s function for grounds consisting of layered materials.
OriginalspracheEnglisch
Seiten (von - bis)759-781
Seitenumfang23
FachzeitschriftJournal of Computational Physics
Volume350
Issue350
PublikationsstatusVeröffentlicht - 2017

Research Field

  • Nicht definiert

Schlagwörter

  • Computational acoustics Boundary element method Absorption

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