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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 5, Pages 55–66 (Mi pmtf1401)  

This article is cited in 8 scientific papers (total in 8 papers)

Dam-break flows at a jump in the width of a rectangular channel

V. V. Ostapenkoab

a Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (270 kB) Citations (8)
Abstract: The problem of dam-break flow at a jump in the width of a rectangular channel is studied in the first shallow-water approximation. Two cases where the upstream channel width is greater or smaller than the downstream channel width are considered. It is shown that in the first case, the problem is uniquely solvable under the assumption that the total energy of the flow is conserved at the jump in the channel width, and in the second case, a solution of the problem for some initial data exists only provided that the total energy of the flow is lost at this jump.
Keywords: shallow water theory, jump in channel width, dam-break, self-similar solutions.
Received: 15.07.2011
Accepted: 18.01.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 5, Pages 679–689
DOI: https://doi.org/10.1134/S0021894412050070
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. V. Ostapenko, “Dam-break flows at a jump in the width of a rectangular channel”, Prikl. Mekh. Tekh. Fiz., 53:5 (2012), 55–66; J. Appl. Mech. Tech. Phys., 53:5 (2012), 679–689
Citation in format AMSBIB
\Bibitem{Ost12}
\by V.~V.~Ostapenko
\paper Dam-break flows at a jump in the width of a rectangular channel
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 5
\pages 55--66
\mathnet{http://mi.mathnet.ru/pmtf1401}
\elib{https://elibrary.ru/item.asp?id=18013504}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 5
\pages 679--689
\crossref{https://doi.org/10.1134/S0021894412050070}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1401
  • https://www.mathnet.ru/eng/pmtf/v53/i5/p55
  • This publication is cited in the following 8 articles:
    1. Alireza Khoshkonesh, Seyed Hossein Sadeghi, Saeed Gohari, Somayyeh Karimpour, Shahin Oodi, Silvia Di Francesco, “Study of Dam-Break Flow Over a Vegetated Channel With and Without a Drop”, Water Resour Manage, 37:5 (2023), 2107  crossref
    2. Alireza Khoshkonesh, Mohammad Daliri, Khuram Riaz, Fariba Ahmadi Dehrashid, Farhad Bahmanpouri, Silvia Di Francesco, “Dam-break flow dynamics over a stepped channel with vegetation”, Journal of Hydrology, 613 (2022), 128395  crossref
    3. Giada Varra, Veronica Pepe, Luigi Cimorelli, Renata Della Morte, Luca Cozzolino, “The exact solution to the Shallow water Equations Riemann problem at width jumps in rectangular channels”, Advances in Water Resources, 155 (2021), 103993  crossref
    4. Giada Varra, Veronica Pepe, Luigi Cimorelli, Renata Della Morte, Luca Cozzolino, “On integral and differential porosity models for urban flooding simulation”, Advances in Water Resources, 136 (2020), 103455  crossref
    5. Veronica Pepe, Luigi Cimorelli, Giovanni Pugliano, Renata Della Morte, Domenico Pianese, Luca Cozzolino, “The solution of the Riemann problem in rectangular channels with constrictions and obstructions”, Advances in Water Resources, 129 (2019), 146  crossref
    6. Luca Cozzolino, Veronica Pepe, Luigi Cimorelli, Andrea D'Aniello, Renata Della Morte, Domenico Pianese, “The solution of the dam-break problem in the Porous Shallow water Equations”, Advances in Water Resources, 114 (2018), 83  crossref
    7. A. O. Valov, V. V. Degtyarev, N. N. Fedorova, AIP Conference Proceedings, 1939, 2018, 020041  crossref
    8. Luca Cozzolino, Veronica Pepe, Francesco Morlando, Luigi Cimorelli, Andrea D'Aniello, Renata Della Morte, Domenico Pianese, “Exact Solution of the Dam-Break Problem for Constrictions and Obstructions in Constant Width Rectangular Channels”, J. Hydraul. Eng., 143:11 (2017)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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