Dam-break reflection

Andrew J Hogg*, Edward W G Skevington

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)
31 Downloads (Pure)

Abstract

The unsteady reflection of dam-break flow along a horizontal channel by a remote barrier is modelled using the nonlinear shallow water equations. The interaction generates an upstream moving bore that connects the collapsing reservoir of fluid to a rapidly deepening fluid layer adjacent to the barrier. These motions are modified when the fluid is released into a channel containing a pre-wetted layer, because the oncoming flow is itself headed by a bore that alters the initial reflection. Solutions for these flows are calculated using quasi-analytical techniques that utilise the method of characteristics and the hodograph transformation of the governing equations, and the results are validated by comparison with direct numerical integration of the shallow water equations. The analytical solutions enable the precise identification of dynamical features in the
flow, including the onset and development of discontinuous solutions that are manifest as bores, as well as their long term behaviour, the rate at which energy is dissipated, and for flows generated from the release of a finite reservoir, the maximum depth of the fluid layer at the barrier.
Original languageEnglish
Article numberhbab010
Pages (from-to)441-465
Number of pages25
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume74
Issue number4
Early online date8 Sep 2021
DOIs
Publication statusPublished - 2021

Bibliographical note

Funding Information:
A. J. Hogg acknowledges the financial support of Natural Environmental Research Council, UK (NE/S00274X/1) and E. W. G. Skevington acknowledges the support of Engineeering and Physical Sciences Research Councul, UK (EP/M506473/1). The authors also thank two anonymous reviewers for their insightful comments on an earlier version of this article.

Publisher Copyright:
© The Author, 2021. Published by Oxford University Press.

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