The present paper deals with a novel application of the Boundary Element Method (BEM) to two-dimensional (2D) nonlinear acoustics. The acoustic waves are supposed to be of ¯nite-amplitude and the analysis is performed in the frequency domain. By applying the perturbation technique, the governing di®erential equations are transformed into a system of two Helmholtz equations, one homogeneous and the other one inhomogeneous. The Dual Reciprocity Boundary Element Method (DRBEM) is used to transfer the domain integral to the boundary. The procedure is validated by comparison with an ad-hoc analytical solution and tested for di®erent basis functions.
A BEM approach in nonlinear acoustics
MALLARDO, Vincenzo;
2008
Abstract
The present paper deals with a novel application of the Boundary Element Method (BEM) to two-dimensional (2D) nonlinear acoustics. The acoustic waves are supposed to be of ¯nite-amplitude and the analysis is performed in the frequency domain. By applying the perturbation technique, the governing di®erential equations are transformed into a system of two Helmholtz equations, one homogeneous and the other one inhomogeneous. The Dual Reciprocity Boundary Element Method (DRBEM) is used to transfer the domain integral to the boundary. The procedure is validated by comparison with an ad-hoc analytical solution and tested for di®erent basis functions.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
