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.
翻译:声学域中的局部点源(单极子)被引入到频域中的三维非奇异亥姆霍兹边界元方法中。该方法允许在问题边界上直接使用高阶面元。研究表明,单极子源的影响最终体现在所得矩阵系统的右侧。文中研究了一些精心选取的算例,例如同心球壳核-壳散射体附近及内部的点源(附有理论验证)、弯曲聚焦面附近的点源,以及多尺度多域声透镜附近的点源。