Authors: Schweizer, Ben
Title: Effective sound absorbing boundary conditions for complex geometries
Language (ISO): en
Abstract: We analyze a system of equations that describes the propagation of sound waves. We are interested in complex constructions along a part of the boundary of the domain, for example constructions with small chambers that are connected to the domain. We also allow that different flow equations are used in the chambers, e.g., modelling a damping material. In addition to the complex geometry, we assume that the viscosity vanishes in the limit. The limiting system is given by wave equations, we derive these equations and determine the effective boundary conditions. The effective boundary conditions replace the large number of small chambers. We provide examples for sound absorbing constructions and their Dirichlet-to-Neumann boundary conditions.
Subject Headings: wave equations
boundary conditions
URI: http://hdl.handle.net/2003/42566
http://dx.doi.org/10.17877/DE290R-24402
Issue Date: 2024-05
Appears in Collections:Preprints der Fakultät für Mathematik
Schweizer, Ben Prof. Dr.

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