比较标准和基于范特霍夫的多项式基础,用于纯水声速方程
1Scripps Institution of Oceanography, University of California San Diego, La Jolla, California 92093, USA.
The Journal of the Acoustical Society of America
|October 21, 2025
概括
这项研究比较了两种在水中模拟声速的方法. 基于范特霍夫的多项式比经验多项式表现得更好,为声学应用提供了更流,更准确的表示.
科学领域:
- 声学 声学 在声学方面
- 物理化学 物理化学
- 流体动力学 流体动力学
背景情况:
- 准确的声速方程对于水下声学和海洋学至关重要.
- 现有的模型经常使用经验多项式扩展.
- 一种物理动机的方法,范特霍夫方程,为声音速度的表示提供了一个替代的基础.
研究的目的:
- 为了比较经验多项式扩展和基于范特霍夫的多项式扩展在纯水中表示声速的性能.
- 评估不同顺序的多项式扩展的适配精度和模型选择标准.
- 为参数不确定性估计和未来方程更新提供一个可靠的方法.
主要方法:
- 利用了两个基本函数:经验多项式扩展和基于范特霍夫的多项式扩展.
- 应用贝叶斯匹配方法来解释表示和观察不确定性.
- 在纯水的Del Grosso和Mader数据集上使用Akaike信息标准 (AIC) 进行模型性能比较.
主要成果:
- 经验和基于范特霍夫的多项式都实现了高精度,标准偏差约为0.0029 m/s.
- 基于范特霍夫的多项式被AIC在第三和第四顺序中排名为优越.
- 修订后的拟合显示出与以前方程的偏差最小 (<0.0045 m/s),并且表现出更好的光滑性.
结论:
- 基于范特霍夫的多项式扩展为模拟水中的声音速度提供了一个物理动机和准确的替代方案.
- 贝叶斯方法提供了可靠的参数不确定性估计,使得声音速度方程的未来改进成为可能.
- 开发的模型提供了一种略微更流,更准确的声音速度数据的表示.
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