动态直角窄角抛物线方程用于静态水下声音传播. 第一部分:理论和方案
Wael H Ali1,2, Pierre F J Lermusiaux1,2
1Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
The Journal of the Acoustical Society of America
|January 25, 2024
概括
这项研究引入了新的随机微分方程来预测声场及其在海洋中的不确定性. 这些方法通过考虑复杂的环境变量和数据限制来改善声学预测.
科学领域:
- 海洋声学 海洋声学
- 波浪传播建模的模拟.
- 计算物理学的计算物理.
背景情况:
- 准确的声学预测依赖于详细的海洋学数据,由于稀疏的测量和复杂的物理,这往往是不确定的.
- 在真实的海洋应用中,量化声波场的不确定性至关重要.
- 现有的方法与水下声学环境的固有复杂性和非高斯统计数据作斗争.
研究的目的:
- 开发和实施新的随机微分方程,用于预测声压场及其概率分布.
- 在声学建模中应对稀疏数据和复杂的海洋物理所带来的挑战.
- 在不确定性下提高水下声学预测的准确性和稳定性.
主要方法:
- 基于随机声学抛物线方程 (PE) 的随机微分方程的推导和实现.
- 应用即时-最佳的动态直角 (DO) 方程理论.
- 开发用于窄角抛物线方程的动态减少顺序DO-PE.
- 用于分辨和整合随机声场的数值方案. 随机声场.
主要成果:
- 成功导出了随机DO-PE,可以动态减少主导的多维不确定性.
- 开发的方法尊重非线性控制方程和非高斯统计学.
- 数字实现提供了一个框架,用于分辨和整合随机声场.
结论:
- 新的随机DO-PE提供了一种有效的技术来量化声学预测中的不确定性.
- 这种方法提高了在现实的海洋场景中建模随机声波场的能力.
- 开发的动态减少顺序DO-PE为水下声学研究提供了强大的计算工具.
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