声场波数积分截断波数自适应选取方法

Adaptive selection of truncated wavenumber in sound field calculation with wavenumber integration method

在采用波数积分法进行声场计算的过程中,需要选取合适的积分截断波数,文章提出一种应用于流体介质中宽带声场波数积分计算的截断波数自适应选取方法。首先根据波数域格林函数的衰减特性构造一个数学模型,然后利用卡尔曼滤波器对该数学模型的拟合参数进行跟踪和预测,最后根据预测的模型参数计算截断波数。仿真试验结果表明,该方法实现了给定精确度下的积分截断波数自适应选取,能够克服现有方法不能兼顾低频段精确度和高频段计算量的问题,并且不会引入太多额外的计算量。

It is necessary to select an appropriate integral truncated wavenumber in sound field calculation with wavenumber integration method.In this paper,an adaptive truncated wavenumber selection method for broadband sound filed calculation in fluid waveguide is proposed,which means that the wavenumber integral can be truncated at a given accuracy.A mathematical model is established to fit the attenuation characteristics of Green's function in wavenumber domain.The fitting parameters in the mathematical model are tracked and predicted by Kalman filters.The truncated wavenumber is estimated according to the mathematical model and its predicted parameters.The experimental results show that the truncated wavenumber selected by the proposed adaptive method can make the integral truncated at a given accuracy,which solves the problem that the existing methods cannot take into account the calculation accuracy at low frequency and the calculation amount at high frequency,and no much additional computation is introduced.