A non-singular boundary element method for interactions between acoustical field sources and structures

TL;DR

This paper introduces a non-singular boundary element method for modeling interactions between point sources and structures in acoustics, enabling accurate simulations with higher order elements and verified through various complex examples.

Contribution

It presents a novel non-singular boundary element approach that simplifies the inclusion of point sources in 3D acoustic problems, improving accuracy and computational efficiency.

Findings

Effective modeling of point sources near complex structures

Verification against theoretical solutions confirms accuracy

Applicable to multi-scale and multi-domain acoustic problems

Abstract

Localized point sources (monopoles) in an acoustical domain are implemented to a three dimensional non-singular Helmholtz boundary element method in the frequency domain. It allows for the straightforward use of higher order surface elements on the boundaries of the problem. It will been shown that the effect of the monopole sources ends up on the right hand side of the resulting matrix system. Some carefully selected examples are studied, such as point sources near and within a concentric spherical core-shell scatterer (with theoretical verification), near a curved focusing surface and near a multi-scale and multi-domain acoustic lens.