Spatial Interpolation of Wave Fields Based on Limited Spatial Measurements
Spatial Interpolation of Wave Fields Based on Limited Spatial Measurements
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DOI：
10.1109/joe.2023.3274176
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发表时间：
2023-10
影响因子：
4.1
通讯作者：
E. Padilla;Rui Cao;A. Callaghan
中科院分区：
文献类型：
--
作者：
E. Padilla;Rui Cao;A. Callaghan
在研究时空变化信号的实验活动中，例如，由于波浪场的演化，空间分辨率通常不像期望的那样高，以适当地捕获传播的水波的空间变化性。这通常是由于不可避免的实验，技术和成本限制。为了克服这一限制，我们提出了一个相对简单的程序（称为S-interp）插值波场的空间位置，没有测量。S-interp由沿着处于相同相位的点的波场的插值组成。S-插值的主要假设是波场沿同相位点沿着线性演化。因此，沿着这些点，内插波场与实际波场之间的差异最小。我们使用S-interp成功地重建实验非破碎波条件的缺失区域。这些波况是由摄像机记录的聚焦波事件，其波场通过视频图像的表面检测分析来测量。总体而言，S-内插的假设被认为是有效的，即使在焦点波峰，其中的性能的S-内插的标准化误差方面进行评估。S-interp的主要误差来源被认为是探头之间的间距，而波场的非线性效应似乎是次要的。当使用S-内插时，探头之间的建议间距最多为特征波长的10${\%}$，以保证误差上限低于5${\%}$。讨论了S-插值在随机海况中的潜在应用。
In experimental campaigns investigating space-time varying signals, e.g., evolving wave fields, it is common for the spatial resolution not to be as high as desired to properly capture the spatial variability of propagating water waves. This is often due to unavoidable experimental, technical, and cost constraints. To overcome this limitation, we present a relatively simple procedure (called S-interp) to interpolate wave fields at spatial locations where no measurements are available. S-interp consists of the interpolation of wave fields along points being at the same phase. The main hypothesis of S-interp is that the wave field follows a linearlike evolution along points being at the same phase. Therefore, along these points, differences between the interpolated and the actual wave fields are minimal. We use S-interp to successfully reconstruct missing areas of experimental nonbreaking wave conditions. These wave conditions are focused wave events recorded by video cameras, whose wave fields are measured by surface detection analysis of the video images. Overall, the hypothesis of S-interp is seen to be valid even at the focal wave crest, where the performance of S-interp is assessed in terms of the normalized error. The main source of error for S-interp is seen to be the spacing between the probes, whereas the nonlinear effects of the wave fields seem secondary. The recommended spacing between probes when using S-interp is at most 10${\%}$ of the characteristic wavelength to guarantee an upper limit of the error below 5${\%}$. The potential application of S-interp to random sea-states is discussed.