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  5. Spatial Interpolation of wave fields based on limited spatial measurements
 
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Spatial Interpolation of wave fields based on limited spatial measurements
File(s)
Padilla_IEEE-JoE_AcceptedManuscript.pdf (10.68 MB)
Accepted version
Author(s)
Padilla, Enrique
Cao, Rui
Callaghan, Adrian H
Type
Journal Article
Abstract
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 desirable 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 in 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 linear-like 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 non-breaking 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.
Date Issued
2023-10-01
Date Acceptance
2023-04-27
Citation
IEEE Journal of Oceanic Engineering, 2023, 48 (4), pp.1226-1235
URI
http://hdl.handle.net/10044/1/104262
DOI
https://www.dx.doi.org/10.1109/JOE.2023.3274176
ISSN
0364-9059
Publisher
Institute of Electrical and Electronics Engineers
Start Page
1226
End Page
1235
Journal / Book Title
IEEE Journal of Oceanic Engineering
Volume
48
Issue
4
Copyright Statement
© 2023 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Publication Status
Published
Date Publish Online
2023-06-30
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