Stability behaviour and results of a transient boundary element method for exterior radiation problems

Michael Stütz, Martin Ochmann
2008 Journal of the Acoustical Society of America  
Acoustics 08 Paris 3731 Based on the Helmholtz integral equation, a boundary element method in time domain (TD-BEM) can be formulated. Because of instability issues, this method is rarely used in numerical acoustics. The stability and accuracy of the method for exterior radiation problems is investigated using some simple examples. A connection between the internal resonances of the closed structure and the instable behaviour of the method is assumed, but it is mathematically unproven.
more » ... evidence of this connection is presented. Because of the sparse structure of the resulting system matrix, the use of iterative solvers is advantageous. For testing purposes, the acoustic radiation from an open turbulent flame is calculated and compared with results of a frequency domain BEM calculation.
doi:10.1121/1.2934483 fatcat:xgqqyued5ndb3gb2svhpu4z73i