Kazan Federal University Digital Repository

Influence of underwater barriers on the distribution of tsunami waves

Show simple item record

dc.contributor.author Chugunov V.
dc.contributor.author Fomin S.
dc.contributor.author Shankar R.
dc.date.accessioned 2018-09-18T20:49:07Z
dc.date.available 2018-09-18T20:49:07Z
dc.date.issued 2014
dc.identifier.issn 2169-9275
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/142479
dc.description.abstract © 2014. American Geophysical Union. All Rights Reserved. Solitary wave propagation over underwater shelves and bumps is examined using straightforward analytical methods. Explicit solutions for wave propagation are obtained. Using the nonlinear shallow-water equations, it was found that propagation of small amplitude long waves can be well described by a linear approximation. The effects of topographical variety and proportion of underwater barriers (steps, bumps, multiple bumps) on the incident wave are demonstrated using linear wave theory. At a step, the incident wave is shown to be more strongly reflected for increased barrier size. The incident wave also transmits an amplified wave with smaller wavelength onto the obstacle. After propagating off of a bump, the wave experiences an amplitude decay. The decay rate is shown to be exponential with a variable number of bumps. Accounting for the presence of the small parameter, which represents the wave amplitude/water depth ratio, the nonlinear shallow-water equations were solved by the method of asymptotic expansions. Using the method of renormalization, a uniformly valid solution was obtained accounting for nonlinear effects in the vicinity of the sharp depth change. Far-field comparisons of the constructed solutions with the associated Riemann waves show good accuracy of the obtained solutions. Over an infinitely long shelf, the amplified transmitted wave breaks.
dc.relation.ispartofseries Journal of Geophysical Research C: Oceans
dc.subject bump
dc.subject shallow water
dc.subject shelf
dc.subject tsunami
dc.subject wave
dc.title Influence of underwater barriers on the distribution of tsunami waves
dc.type Article
dc.relation.ispartofseries-issue 11
dc.relation.ispartofseries-volume 119
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 7568
dc.source.id SCOPUS21699275-2014-119-11-SID84915747445

Files in this item

This item appears in the following Collection(s)

  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

Show simple item record

Search DSpace

Advanced Search


My Account