多域直接边界元方法及其在模拟亥姆霍兹共振器方面的应用

多域直接边界元方法被用来求解结构表面带开口时的结构声学问题．详细地介绍了该方法的理论与求解过程．在开口处可任意选取一层流体介质与结构表面一起构成多域问题的边界．针对各域分别运用直接边界元方法，各域的边界元方程通过开口边界耦合起来．开口处多域边界选取的任意性被用来验证尖棱角处法向量处理方法的可行性．模拟了两种球形亥姆霍兹共振器．计算所得的共振频率与理论近似解非常吻合．

Multi-domain direct BEM and its application to the simulation of Helmholtz resonator

Multi-domain direct boundary element method (BEM) was applied to solve acoustic problem with an open structure. The theory and solver of multi-domain direct BEM were introduced in detail. Because of the arbitrary selectivity of the common fluid-fluid interaction boundary between the interior and exterior domains, the treatment technique of normal vectors at sharp corners and edges was validated using some numerical examples. Two kinds of spherical Helmholtz resonators were simulated. The resonance frequencies of these resonators computed using the multi-domain direct BEM agree with corresponding approximated theoretical results quite well.