在移动介质中声传播的相守狭角和广角抛物线方程a)
Vladimir E Ostashev1, Jules Colas2, Didier Dragna2
1U.S. Army Engineer Research and Development Center, 72 Lyme Road, Hanover, New Hampshire 03755, USA.
The Journal of the Acoustical Society of America
|February 11, 2024
概括
维护相位的抛物线方程准确地模拟了在移动介质中的声音传播,即使有很大的变化. 这些方法,包括超广角抛物线方程 (EWAPEs),提高了对复杂声学环境的近似值的准确性.
科学领域:
- 声学和计算物理,专注于波传播现象.
背景情况:
- 抛物线方程是物理学中用于波传播的广泛使用的数值方法.
- 在许多应用中,精确的模拟在移动,不均的介质中声音传播对于许多应用至关重要.
- 当前的抛物线方程可能会在音速和风速变化很大时引入相位误差.
研究的目的:
- 调查相守超广角抛物线方程 (EWAPEs),广角抛物线方程 (WAPEs) 和窄角抛物线方程 (NAPEs) 的准确性和适用性.
- 评估这些模型在音速和风速差异较大的介质中进行声音传播.
- 为了比较相保存模型的性能与近似值.
主要方法:
- 这项研究考虑了三种类型的抛物线方程:EWAPEs,WAPEs和NAPE.
- 这些方程旨在准确地保持声波的相位.
- 进行了数值实现和与有效声速近似值进行比较.
主要成果:
- 维护相位的EWAPE,WAPE和NAPE准确地描述了声音波的相位.
- 在音速和马赫数中省略二次项可以导致长距离的显著累积相位错误.
- 数字结果显示,使用有效声速近似计算的维相WAPE和NAPE比使用有效声速近似计算的同行更准确.
结论:
- 维护相位的抛物线方程对于涉及音速和风速显著变化的应用是可取的.
- 维护相位的WAPE和NAPE通过计算高效和最小修改的实现提供了更高的准确性.
- 这些先进的模型在复杂的动态环境中提高了声学传播模拟的可靠性.
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