Analysis of Bore Characteristics Using KdV-Based Nonlinear Fourier Transform

M. Brühl, S. Wahls, Ignacio Barranco Granged, Philipp L.-F. Liu

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Abstract

Bores propagating in shallow water transform into undular bores and, finally, into trains of solitons. The observed number and height of these undulations, and later discrete solitons, is strongly dependent on the propagation length of the bore. Empirical results show that the final height of the leading soliton in the far-field is twice the initial mean bore height. The complete disintegration of the initial bore into a train of solitons requires very long propagation lengths, but unfortunately these required distances are usually not available in experimental tests or nature. Therefore, the analysis of the bore decomposition for experimental data into solitons is difficult and requires further approaches. Previous studies have shown that by application of the nonlinear Fourier transform based on the Korteweg–de Vries equation (KdV-NFT) to bores and long-period waves propagating in constant depth, the number and height of all solitons can be reliably predicted already based on the initial bore-shaped free surface.
Against this background, this study presents the systematic analysis of the leading-soliton amplitudes for non-breaking and breaking bores with different strengths in different water depths in order to validate the KdV-NFT results for non-breaking bores, and to show the limitations of wave breaking on the spectral results. The analytical results are compared with data from experimental tests, numerical simulations and other approaches from literature.
Original languageEnglish
Title of host publicationProceedings of the ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2020
PublisherASME
Number of pages10
VolumeVolume 6B: Ocean Engineering
ISBN (Print)978-0-7918-8438-6
DOIs
Publication statusPublished - 2020
EventASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2020 - Virtual, Online
Duration: 3 Aug 20207 Aug 2020

Conference

ConferenceASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2020
CityVirtual, Online
Period3/08/207/08/20

Bibliographical note

Accepted Author Manuscript

Keywords

  • bore
  • nonlinear Fourier transform
  • soliton fission

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