Analysis of Bore Characteristics Using KdV-Based Nonlinear Fourier Transform
| Autor: | Markus Bruehl, Philipp L.-F. Liu, Sander Wahls, Ignacio Barranco Granged |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
nonlinear Fourier transform Breaking wave bore Mechanics Physics::Classical Physics Waves and shallow water symbols.namesake Amplitude Fourier transform Nonlinear Sciences::Exactly Solvable and Integrable Systems Free surface symbols Soliton Korteweg–de Vries equation Constant (mathematics) Nonlinear Sciences::Pattern Formation and Solitons soliton fission |
| Zdroj: | Proceedings of the ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2020, Volume 6B: Ocean Engineering Volume 6B: Ocean Engineering |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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