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针对边界元法在声辐射多频分析中的困难,提出了一种基于子空间投影的快速插值算法。该方法将所求解的声学量视为一个线性系统的传递函数,然后采用Krylov投影降阶方法的无矩阵形式对原系统进行模型降阶,并通过降阶系统的传递函数来实现对所求声学量的频率插值计算。文中分别采用等距频率插值和自适应插值方案,计算了三种模型算例的辐射声压和声功率。数值结果表明,本算法可以在保证一定计算精度的前提下,显著地提高声辐射多频分析的计算速度。
Aiming at the difficulties of boundary element method in multi-frequency analysis of acoustic radiation, a fast interpolation algorithm based on subspace projection is proposed. The method considers the solved acoustic volume as the transfer function of a linear system. Then, the original system is modeled by using matrix-less form of Krylov projection reduction method, and the acoustic properties are obtained by the transfer function of the reduced order system The amount of frequency interpolation calculation. In this paper, the isometric frequency interpolation and adaptive interpolation are respectively used to calculate the radiation sound pressure and sound power of the three models. The numerical results show that the proposed algorithm can significantly improve the computational speed of multi-frequency analysis of acoustic radiation under the premise of certain accuracy.