Institut Franco-Allemand de Recherches de Saint-Louis (ISL), 5 Rue du Général Cassagnou, 68 300 Saint-Louis, France.
J Acoust Soc Am. 2012 Oct;132(4):2198-209. doi: 10.1121/1.4748584.
Many aspects of outdoor sound propagation depend on the scattering effects induced by atmospheric turbulence. Standard analytical and numerical assessments of these effects make an a priori distinction between the scattering effects at large versus small angles. The present study evaluates the ability of a numerical model in overcoming this distinction. The model solves a set of two coupled equations for the sound pressure and vector acoustic velocity, with the finite-difference time domain approach. It is first introduced and evaluated. The numerical predictions are compared to well-known analytical solutions in the case of two-dimensional plane wave propagation through turbulence. They are found to agree in the investigated scenarios. Hence, the finite-difference, time domain solution of the two coupled equations provides a unified, versatile numerical approach to investigating the effects of atmospheric turbulence on sound propagation. The comparison also provides original insights on the applicability and limitations of various methods used to investigate sound propagation through turbulence.
许多户外声音传播的方面都取决于大气湍流引起的散射效应。这些效应的标准分析和数值评估在大角度和小角度散射效应之间进行了先验区分。本研究评估了一个数值模型克服这种区分的能力。该模型通过有限差分时域方法求解声压和矢量声速的一组两个耦合方程。首先介绍并评估了该模型。在二维平面波通过湍流传播的情况下，将数值预测与著名的解析解进行了比较。在所研究的情况下，发现它们是一致的。因此，两个耦合方程的有限差分、时域解为研究大气湍流对声音传播的影响提供了一种统一、通用的数值方法。该比较还为研究通过湍流传播声音的各种方法的适用性和局限性提供了新的见解。
