Flow dynamics for coupled surface and internal deep-water waves

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2022-DH-GV-Annali.pdf(2.7 MB)
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Date
2022-08-11
Authors
Henry, David
Villari, Gabriele
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Publisher
Springer Nature Switzerland AG
Published Version
10.1007/s10231-022-01257-z
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Abstract
This article determines the fluid motion underlying coupled linear internal and surface waves in a deep-water two-fluid-layer model (with the lower layer being of infinite depth). A detailed Eulerian description of the wave-field kinematics for coupled linear travelling waves is achieved using phase-plane analysis. The qualitative motion of individual fluid particles is elucidated through analysis of the relevant nonlinear dynamical systems from the Lagrangian viewpoint.
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Keywords
Internal waves , Surface waves , Linear regime , Deep-water , Particle trajectories , Phase portraits
Citation
Henry, D. and Villari, G. (2022) 'Flow dynamics for coupled surface and internal deep-water waves', Annali di Matematica Pura ed Applicata (1923 -). doi: 10.1007/s10231-022-01257-z
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https://hdl.handle.net/10468/13524
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Mathematical Sciences- Journal Articles
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© 2022, the Authors. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.