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.
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
\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:
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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
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
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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
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
A. O. Valov, V. V. Degtyarev, N. N. Fedorova, AIP Conference Proceedings, 1939, 2018, 020041
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)