Reflectionless wave propagation on shallow water with variable bathymetry and current
Article
Article Title | Reflectionless wave propagation on shallow water with variable bathymetry and current |
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ERA Journal ID | 1294 |
Article Category | Article |
Authors | Churilov, Semyon M. (Author) and Stepanyants, Yury A. (Author) |
Journal Title | Journal of Fluid Mechanics |
Journal Citation | 931, pp. 1-25 |
Article Number | A15 |
Number of Pages | 25 |
Year | 2021 |
Publisher | Cambridge University Press |
Place of Publication | United Kingdom |
ISSN | 0022-1120 |
1469-7645 | |
Digital Object Identifier (DOI) | https://doi.org/10.1017/jfm.2021.935 |
Web Address (URL) | https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/reflectionless-wave-propagation-on-shallow-water-with-variable-bathymetry-and-current/72C77BAE5E1ED74DB1A6DD2EAF9BD028 |
Abstract | In the linear approximation, we study the one-dimensional problem of reflectionless wave propagation on the surface of a shallow duct with spatially varying water depth, duct width and current. We show that both global and bounded exact solutions describing the reflectionless propagation in opposite directions of long waves of arbitrary shape exist for the particular variations of these parameters. A general analysis of the problem is illustrated by a few solutions constructed for the specific cases of spatial profiles of the flow and wave propagation velocities. The results obtained can be of interest to mitigate the possible impact of waves on ships, marine engineering constructions and human activity in coastal zones. |
Keywords | ocean processes; shallow water flows; surface gravity waves |
ANZSRC Field of Research 2020 | 370803. Physical oceanography |
490109. Theoretical and applied mechanics | |
510399. Classical physics not elsewhere classified | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Russian Academy of Sciences, Russia |
School of Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q6xy3/reflectionless-wave-propagation-on-shallow-water-with-variable-bathymetry-and-current
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