Bore-driven swash on a mobile beach

The problem of cross-shore beach face evolution in the swash zone is examined within the framework of the shallow water theory. A system comprising the shallow water and Exner equations is solved numerically using both uncoupled and fully coupled approaches. The uncoupled model assumes that changes...

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Main Author: Kelly, David M.
Format: Thesis (University of Nottingham only)
Language:English
Published: 2009
Subjects:
Online Access:https://eprints.nottingham.ac.uk/13675/
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author Kelly, David M.
author_facet Kelly, David M.
author_sort Kelly, David M.
building Nottingham Research Data Repository
collection Online Access
description The problem of cross-shore beach face evolution in the swash zone is examined within the framework of the shallow water theory. A system comprising the shallow water and Exner equations is solved numerically using both uncoupled and fully coupled approaches. The uncoupled model assumes that changes in bed height have a negligible effect on the flow over a swash event, whereas the fully coupled model updates the hydrodynamic variables and beach profile simultaneously. In order to obtain accurate results over a single swash event several new numerical solvers based on the method of characteristics (MaC) and the MacCormack (1969) explicit finite-difference scheme are detailed. Particular attention is given to the treatment of discontinuities. A procedure for the explicit treatment of discontinuities, derived from techniques employed in gas dynamical problems, is developed and applied. Certain rather novel shock capturing approaches are also investigated. The shoreline boundary is discussed and a new robust algorithm for the treatment of this boundary on both fixed and mobile beds is presented. The resulting numerical models are used to simulate a variety of different swash events on an initially plane sloping mobile beach. Predictions of beach face evolution are made using the fully coupled approach and are compared with predictions made using an uncoupled analytical beach evolution model based on that of Pritchard and Hogg (2005). The fully coupled model leads to some interesting observations, in particular the possibility of local onshore sediment transport and the occurrence of a seaward facing sediment bore in the backwash. A characteristics based analysis is performed and reveals important differences in the flow structure of coupled and uncoupled swash events. The maximum wave run-up is also considered and it is shown that for the fully coupled system the run-up is significantly less than that predicted by the Shen and Meyer (1963) theory and motion of the leading edge can no longer be determined using simple ballistics concepts. Additionally, for verification purposes, new quasi-analytical solutions are constructed for the mobile bed dam-break problem using two distinct sediment transport formulae.
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format Thesis (University of Nottingham only)
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language English
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publishDate 2009
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spelling nottingham-136752025-02-28T11:26:31Z https://eprints.nottingham.ac.uk/13675/ Bore-driven swash on a mobile beach Kelly, David M. The problem of cross-shore beach face evolution in the swash zone is examined within the framework of the shallow water theory. A system comprising the shallow water and Exner equations is solved numerically using both uncoupled and fully coupled approaches. The uncoupled model assumes that changes in bed height have a negligible effect on the flow over a swash event, whereas the fully coupled model updates the hydrodynamic variables and beach profile simultaneously. In order to obtain accurate results over a single swash event several new numerical solvers based on the method of characteristics (MaC) and the MacCormack (1969) explicit finite-difference scheme are detailed. Particular attention is given to the treatment of discontinuities. A procedure for the explicit treatment of discontinuities, derived from techniques employed in gas dynamical problems, is developed and applied. Certain rather novel shock capturing approaches are also investigated. The shoreline boundary is discussed and a new robust algorithm for the treatment of this boundary on both fixed and mobile beds is presented. The resulting numerical models are used to simulate a variety of different swash events on an initially plane sloping mobile beach. Predictions of beach face evolution are made using the fully coupled approach and are compared with predictions made using an uncoupled analytical beach evolution model based on that of Pritchard and Hogg (2005). The fully coupled model leads to some interesting observations, in particular the possibility of local onshore sediment transport and the occurrence of a seaward facing sediment bore in the backwash. A characteristics based analysis is performed and reveals important differences in the flow structure of coupled and uncoupled swash events. The maximum wave run-up is also considered and it is shown that for the fully coupled system the run-up is significantly less than that predicted by the Shen and Meyer (1963) theory and motion of the leading edge can no longer be determined using simple ballistics concepts. Additionally, for verification purposes, new quasi-analytical solutions are constructed for the mobile bed dam-break problem using two distinct sediment transport formulae. 2009-10-15 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/13675/1/517759.pdf Kelly, David M. (2009) Bore-driven swash on a mobile beach. PhD thesis, University of Nottingham. Bores Beach face evolution Swash zone Swash event Shallow water theory Sediment transport
spellingShingle Bores
Beach face evolution
Swash zone
Swash event
Shallow water theory
Sediment transport
Kelly, David M.
Bore-driven swash on a mobile beach
title Bore-driven swash on a mobile beach
title_full Bore-driven swash on a mobile beach
title_fullStr Bore-driven swash on a mobile beach
title_full_unstemmed Bore-driven swash on a mobile beach
title_short Bore-driven swash on a mobile beach
title_sort bore-driven swash on a mobile beach
topic Bores
Beach face evolution
Swash zone
Swash event
Shallow water theory
Sediment transport
url https://eprints.nottingham.ac.uk/13675/