声场波数积分最大截止波数自动选取算法

Automatic selection algorithm for maximum truncate wavenumber of acoustic wavenumber integration method

为了提高声场波数积分传递函数矩阵法的计算稳定性与精确性,提出基于预估-校正思想的最大截止波数自动选取算法,具有简单可靠、附带计算量小的优点。自由空间球面波算例测试结果表明,传递函数自下而上(单向)求解顺序的计算稳定性相对较差,在声源上方易出现积分核函数非物理发散,需要在不同深度上采用不同的截止波数才能计算出正确结果;而上下对进(双向)求解顺序的计算稳定性与计算精度均较高。

In order to improve the computational stability and accuracy of the acoustic wavenumber integration propagator matrix approach,the automatic selection algorithm for maximum truncate wavenumber based on predictor-corrector theory was proposed.The algorithm has the advantages of simple,reliable and small computational load.The test results of acoustic spherical wave in free space show that the stability of propagator with the order of bottom to top is relatively poor,the non-physical divergence of the wavenumber kernel function is easy to appear above the sound source,so it was necessary to use different truncate wavenumbers at different depths to calculate the correct result;while the calculation stability and precision of propagator with the order of bottom to source and top to source respectively reach higher levels.