Nonlinear Fourier Analysis of Free-Surface Buoy Data Using the Software Library FNFT
Nonlinear Fourier Analysis (NFA) is a powerful tool for the analysis of hydrodynamic processes. The unique capabilities of NFA include, but are not limited to, the detection of hidden solitons and the detection of modulation instability, which are essential for the understanding of nonlinear phenome...
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fttudelft:oai:tudelft.nl:uuid:bb9bf91d-c1f1-48c6-bc6b-bb7785d97aef 2024-02-11T09:59:13+01:00 Nonlinear Fourier Analysis of Free-Surface Buoy Data Using the Software Library FNFT Wahls, S. (author) Brühl, M. (author) Fan, Yang-Ming (author) Huang, Ching-Jer (author) 2020 http://resolver.tudelft.nl/uuid:bb9bf91d-c1f1-48c6-bc6b-bb7785d97aef https://doi.org/10.1115/OMAE2020-18676 en eng ASME Proceedings of the ASME 39th International Conference on Ocean, Offshore and Arctic Engineering--978-0-7918-8438-6 ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering (Virtual, Online)--024d6e82-eb0a-4cdb-aa71-fe2e71b90531 http://resolver.tudelft.nl/uuid:bb9bf91d-c1f1-48c6-bc6b-bb7785d97aef https://doi.org/10.1115/OMAE2020-18676 © 2020 S. Wahls, M. Brühl, Yang-Ming Fan, Ching-Jer Huang conference paper 2020 fttudelft https://doi.org/10.1115/OMAE2020-18676 2024-01-24T23:31:27Z Nonlinear Fourier Analysis (NFA) is a powerful tool for the analysis of hydrodynamic processes. The unique capabilities of NFA include, but are not limited to, the detection of hidden solitons and the detection of modulation instability, which are essential for the understanding of nonlinear phenomena such as rogue waves. However, even though NFA has been applied to many interesting problems, it remains a non-standard tool. Recently, an open source software library called FNFT has been released to the public. (FNFT is short for “Fast Nonlinear Fourier Transforms”.) The library in particular contains code for the efficient numerical NFA of hydrodynamic processes that are approximately governed by the nonlinear Schroedinger equation with periodic boundary conditions. Waves in deep water are a prime example for such a process. In this paper, we use FNFT to perform an exemplary NFA of typhoon data collected by wave buoys at the coast of Taiwan. Our goals are a) to demonstrate the application of FNFT in a practical scenario, and b) to compare the results of a NFA to an analysis based on the conventional linear Fourier transform. The exposition is deliberately educational, hopefully enabling others to use FNFT for similar analyses of their own data. Accepted Author Manuscript Team Sander Wahls Conference Object Arctic Delft University of Technology: Institutional Repository Volume 6B: Ocean Engineering |
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Delft University of Technology: Institutional Repository |
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fttudelft |
language |
English |
description |
Nonlinear Fourier Analysis (NFA) is a powerful tool for the analysis of hydrodynamic processes. The unique capabilities of NFA include, but are not limited to, the detection of hidden solitons and the detection of modulation instability, which are essential for the understanding of nonlinear phenomena such as rogue waves. However, even though NFA has been applied to many interesting problems, it remains a non-standard tool. Recently, an open source software library called FNFT has been released to the public. (FNFT is short for “Fast Nonlinear Fourier Transforms”.) The library in particular contains code for the efficient numerical NFA of hydrodynamic processes that are approximately governed by the nonlinear Schroedinger equation with periodic boundary conditions. Waves in deep water are a prime example for such a process. In this paper, we use FNFT to perform an exemplary NFA of typhoon data collected by wave buoys at the coast of Taiwan. Our goals are a) to demonstrate the application of FNFT in a practical scenario, and b) to compare the results of a NFA to an analysis based on the conventional linear Fourier transform. The exposition is deliberately educational, hopefully enabling others to use FNFT for similar analyses of their own data. Accepted Author Manuscript Team Sander Wahls |
format |
Conference Object |
author |
Wahls, S. (author) Brühl, M. (author) Fan, Yang-Ming (author) Huang, Ching-Jer (author) |
spellingShingle |
Wahls, S. (author) Brühl, M. (author) Fan, Yang-Ming (author) Huang, Ching-Jer (author) Nonlinear Fourier Analysis of Free-Surface Buoy Data Using the Software Library FNFT |
author_facet |
Wahls, S. (author) Brühl, M. (author) Fan, Yang-Ming (author) Huang, Ching-Jer (author) |
author_sort |
Wahls, S. (author) |
title |
Nonlinear Fourier Analysis of Free-Surface Buoy Data Using the Software Library FNFT |
title_short |
Nonlinear Fourier Analysis of Free-Surface Buoy Data Using the Software Library FNFT |
title_full |
Nonlinear Fourier Analysis of Free-Surface Buoy Data Using the Software Library FNFT |
title_fullStr |
Nonlinear Fourier Analysis of Free-Surface Buoy Data Using the Software Library FNFT |
title_full_unstemmed |
Nonlinear Fourier Analysis of Free-Surface Buoy Data Using the Software Library FNFT |
title_sort |
nonlinear fourier analysis of free-surface buoy data using the software library fnft |
publisher |
ASME |
publishDate |
2020 |
url |
http://resolver.tudelft.nl/uuid:bb9bf91d-c1f1-48c6-bc6b-bb7785d97aef https://doi.org/10.1115/OMAE2020-18676 |
genre |
Arctic |
genre_facet |
Arctic |
op_relation |
Proceedings of the ASME 39th International Conference on Ocean, Offshore and Arctic Engineering--978-0-7918-8438-6 ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering (Virtual, Online)--024d6e82-eb0a-4cdb-aa71-fe2e71b90531 http://resolver.tudelft.nl/uuid:bb9bf91d-c1f1-48c6-bc6b-bb7785d97aef https://doi.org/10.1115/OMAE2020-18676 |
op_rights |
© 2020 S. Wahls, M. Brühl, Yang-Ming Fan, Ching-Jer Huang |
op_doi |
https://doi.org/10.1115/OMAE2020-18676 |
container_title |
Volume 6B: Ocean Engineering |
_version_ |
1790595175196655616 |