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IssuesArchive of Issues2012-6pp.666-676

Archive of Issues

Total articles in the database: 1774
In Russian (): 975
In English (J. Appl. Math. Mech.): 799

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V.V. Ostapenko, "Discontinuous solutions of the shallow water equations in a channel with an abrupt change in the cross sectional area," J. Appl. Math. Mech. 76 (6), 666-676 (2012)
Year 2012 Volume 76 Issue 6 Pages 666-676
Title Discontinuous solutions of the shallow water equations in a channel with an abrupt change in the cross sectional area
Author(s) V.V. Ostapenko (Novosibirsk, Russia, ostapenko_vv@ngs.ru)
Abstract Flows in a channel with an abstract change in the cross sectional area are investigated within the limits of the one-layer shallow water model. A proof of the relations on the hydrodynamic discontinuity that arises in this case is given. The admissible stable flows at this discontinuity are distinguished. As an example, the problem of the flows that occur as a result of the failure of a dam when there is an abrupt change in the cross sectional area in a rectangular channel, the width of which is greater in the upper water race than in the lower water race, is solved.
Received 29 April 2011
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892813000269
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