Ray W. Herrick Laboratories, School of Mechanical Engineering, Purdue University, 140 S. Martin Jischke Drive, West Lafayette, Indiana 47907-2031, USA.
J Acoust Soc Am. 2012 Jun;131(6):4389-98. doi: 10.1121/1.4714763.
An efficient computation of sound fields due to a monopole source placed above a porous layer is presented. This paper examines an improved scheme whereby the steepest descent path is selected for the numerical evaluation of the Sommerfeld integral. Along the steepest descent path, a standard Gaussian-Hermite quadrature can be used to calculate the sound fields effectively. The suggested numerical scheme is accurate at all frequencies except in the very near field. The proposed method is more numerically efficient than other computational schemes, especially at long ranges and high source frequencies.
本文提出了一种计算位于多孔层上方的点声源产生的声场的高效算法。本文研究了一种改进的方案,即选择最速下降路径来数值评估索末菲积分。在最速下降路径上,可以使用标准的高斯-埃尔米特求积来有效地计算声场。除了在非常近场的情况下,所提出的数值方案在所有频率下都是准确的。与其他计算方案相比,该方法在长距离和高频声源的情况下更具数值效率。