求解远场声辐射问题的一种快速边界元法

针对传统边界元法奇异性的固有缺陷，研究一种求解结构辐射声场的间接边界元法。通过在内域虚拟曲面上配置一系列单偶极子源，等效模拟结构外辐射声场，并根据单元体积速度匹配法的边界条件方案，给出数值计算辐射声场的间接边界元模型。结合球冠形辐射器的仿真算例，表明该间接边界元法在求解远场声特性时具有较高的计算效率和精度，为分析设计具有大空间指向性的辐射器提供参考。

Fast Boundary Element Method for Far Field Sound Radiation Analysis

To overcome the inherent singular of traditional boundary element method for computing structure radiated field, an alternative approach was implemented. The indirect boundary element model was established by using the acoustic field from a series of monopole, dipole, or tripole dipole sources, which were collocated in the interior virtual surface to replace the actual acoustic field, and the boundary condition was determined by the volume velocity matching scheme. Then a numerical example with spherical cap radiator was used to demonstrate the computational effectiveness and accuracy of the current method for analysis of far field sound radiation characteristic, and the results showed that the presented method can provide a new analysis and design guideline for radiator with desired wide spatial directivity.