Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 48109-2133, USA.
J Acoust Soc Am. 2011 Feb;129(2):589-92. doi: 10.1121/1.3531814.
Acoustic field calculations in underwater environments are often uncertain because the environmental parameters required for such calculations are uncertain. This letter compares the accuracy of direct simulations, the field shifting approximation, and polynomial chaos expansions for predicting acoustic amplitude uncertainty in 100-m-deep Pekeris waveguides having spatially uniform uncertain water-column sound speed. When this sound speed is Gaussian-distributed with a standard deviation of 1 m/s, direct simulations and polynomial chaos expansions, based on 21 field calculations, are more accurate than the field shifting approximation, based on two field calculations. This ranking reverses as the sound-speed standard deviation increases to 20 m/s.
水下环境中的声场计算通常是不确定的，因为这种计算所需的环境参数是不确定的。本函件比较了直接模拟、场移逼近和多项式混沌展开在预测具有空间均匀不确定水声声速的 100 米深 Pekeris 波导中声幅不确定性的准确性。当这种声速呈高斯分布，标准偏差为 1 米/秒时，基于 21 个场计算的直接模拟和多项式混沌展开比基于两个场计算的场移逼近更准确。随着声速标准偏差增加到 20 米/秒，这种排序会反转。
