【摘要】 为解决封闭空间相干声场预测模型复杂度高、计算效率低的问题，运用复虚源原理（image-source method，简称ISM）和快速多极思想（fast multipole algorithm，简称FMA），提出一种相干声场的快速预测方法（FMA-ISM）。首先，将封闭空间内的声源等效为一规则排布的复源点集，基于复虚源原理构建了虚拟接收点模型和考虑声场相干性的多点对多点的声场预测模型；其次，引入快速多极展开算法，将多点对多点的复杂映射关系转化为点集对点集的快速计算过程，降低虚源分析的阶数，在保证虚源模型精度的前提下提高计算效率；最后，通过仿真和实验验证了FMA-ISM方法的有效性。研究结果表明：与有限元法、声线法和虚源法相比，FMA-ISM方法预测声场场点声压级平均误差在3 dB内，模型计算速度提高50%以上。更多还原

【Abstract】 To solve the problem of high complexity and low computational efficiency of the coherent sound field prediction model in a closed space,a fast prediction method(FMA-ISM)of coherent sound field is proposed using the principle of image-source method(ISM)and fast multipole algorithm(FMA). The sound source in a closed space is equivalent to a set of regularly arranged multiple source points. A virtual receiving point model based on the principle of image-source method,and a multi-point to multi-point sound field prediction model based on the coherence of the sound field are constructed. A fast multipole expansion algorithm is introduced to convert the complex mapping relationship of multi-point to multi-point into a fast calculation process of point set to point set. By reducing the order of virtual source analysis,this method improves the calculation efficiency while ensuring the accuracy of the model. The effectiveness of the method is verified by simulation and experiments. Compared with the finite element method,ray-tracing method and image-source method,the FMA-ISM method obtains smaller sound pressure level prediction error(within 3 dB)and higher calculation speed(increased by at least 50%).更多还原