Numerical Models for the Three Dimensional Analysis of the Acoustic Behaviour Inside a Paralelipipedic Space

Abstract

In the present work, numerical frequency domain formulations are developed for the prediction of the acoustic behavior inside a three dimensional perfectly rigid enclosure in the presence of a point source. In these formulations the Boundary Element Method (BEM) and the Method of Fundamental Solutions (MFS) are used with appropriate Green’s functions that allow to reduce the number of discretized surfaces. The aim here is to find numerical strategies that may allow to reduce computational cost and improve accuracy. These models will further permit for an analysis in higher frequencies as less computer resources are required due to reduced discretization. The possibility of assigning different absorption properties to the interfaces and of assuming different room shapes by inclining some of the interfaces is also here addressed. A detailed analysis on the behavior of the models for different cases is performed highlighting accuracy, efficiency and stability of the numerical strategies here proposed. Simulations are displayed for the simple case of a small room where low frequency domain responses regarding sound pressure level have been computed and the results obtained are compared with experimental results.