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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 3, Pages 3–11 (Mi pmtf2143)  
This article is cited in 1 scientific paper (total in 1 paper)

Breaking of waves of limiting amplitude over an obstacle

V. Yu. Lyapidevskiia, Z. Xub

a Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
b Institute of Physical Oceanography, China Ocean University, Qingdao, 266003
Full-text PDF (261 kB) Citations (1)
Abstract: Homogeneous heavy fluid flows over an uneven bottom are studied in a long-wave approximation. A mathematical model is proposed that takes into account both the dispersion effects and the formation of a turbulent upper layer due to the breaking of surface gravity waves. The asymptotic behavior of nonlinear perturbations at the wave front is studied, and the conditions of transition from smooth flows to breaking waves are obtained for steady-state supercritical flow over a local obstacle.
Keywords: homogeneous fluid, supercritical flow, waves of limiting amplitude, wave breaking.
Received: 14.07.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 3, Pages 307–313
DOI: https://doi.org/10.1007/s10808-006-0057-5
Bibliographic databases:
Document Type: Article
UDC: 517.958: 531.327.13
Language: Russian
Citation: V. Yu. Lyapidevskii, Z. Xu, “Breaking of waves of limiting amplitude over an obstacle”, Prikl. Mekh. Tekh. Fiz., 47:3 (2006), 3–11; J. Appl. Mech. Tech. Phys., 47:3 (2006), 307–313
Citation in format AMSBIB
\Bibitem{LyaXu06}
\by V.~Yu.~Lyapidevskii, Z.~Xu
\paper Breaking of waves of limiting amplitude over an obstacle
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 3
\pages 3--11
\mathnet{http://mi.mathnet.ru/pmtf2143}
\elib{https://elibrary.ru/item.asp?id=16515876}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 3
\pages 307--313
\crossref{https://doi.org/10.1007/s10808-006-0057-5}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2143
  • https://www.mathnet.ru/eng/pmtf/v47/i3/p3
    • This publication is cited in the following 1 articles:
    1. S. L. Gavrilyuk, V. Yu. Liapidevskii, A. A. Chesnokov, “Spilling breakers in shallow water: applications to Favre waves and to the shoaling and breaking of solitary waves”, J. Fluid Mech., 808 (2016), 441  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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