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

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.

References in corpus (5)

• Optical forces and torques on eccentric nanoscale core-shell particles
• Boundary regularized integral equation formulation (BRIEF) of Stokes flow
• General-purpose kernel regularization of boundary integral equations via density interpolation
• A non-singular, field-only surface integral method for interactions between electric and magnetic dipoles and nano-structures
• Helmholtz equation and non-singular boundary elements applied to multi-disciplinary physical problems