An inverse direct time domain boundary element methodfor the reconstruction of transient acoustic field
An inverse direct time domain boundary element methodfor the reconstruction of transient acoustic field
复制标题
瞬态声场重构的逆直接时域边界元法
DOI：
10.1115/1.4035381
复制
发表时间：
2017
影响因子：
1.7
通讯作者：
Zhang Yong-Bin
中科院分区：
文献类型：
--
作者：
Zhang Yang;Zhang Xiao-Zheng;Bi Chuan-Xing;Zhang Yong-Bin
提出了一种用于重建任意形状声源辐射的瞬变声场的直接时间域边界元逆方法。该方法基于直接时间域边界元法(DTBEM)理论，不需要计算超奇异积分，因此其重建过程相对简单，易于实现。然而，DTBEM公式不能直接用于瞬时声场的重建，因此导出了具有修正时间轴的新公式。利用这些新的公式，形成了一个线性方程组，并以时间推进(MOT)的方式进行重建。同时，利用截断奇异值分解(TSVD)解决了逆过程中的不适定性问题。通过对球体、圆柱体和简化汽车模型三个算例的数值模拟，验证了该方法的有效性，结果表明，该方法在时间域和空间域都能有效地重建任意形状声源辐射的暂态声场。
An inverse direct time domain boundary element method (IDTBEM) is proposed for the reconstruction of transient acoustic field radiated by arbitrarily shaped sources. The method is based on the theory of direct time domain boundary element method (DTBEM), which is free from the calculation of hypersingular integrals, and thus, its reconstruction process is relatively simple and easy to implement. However, the formulations of DTBEM cannot be used directly for the reconstruction of transient acoustic field, and therefore, new formulations with a modified time axis are derived. With these new formulations, a linear system of equations is formed and the reconstruction is performed in a marching-on-time (MOT) way. Meanwhile, to deal with the ill-posedness involved in the inverse process, the truncated singular value decomposition (TSVD) is employed. Numerical simulations with three examples of a sphere, a cylinder, and a simplified car model are carried out to verify the validity of IDTBEM, and the results demonstrate that the IDTBEM is effective in reconstructing the transient acoustic fields radiated by arbitrarily shaped sources in both time and space domains.