Overtopping a truncated planar beach

Andrew J Hogg, Tom E. Baldock, David Pritchard

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Run-up on a truncated impermeable beach is analysed theoretically and
experimentally to find the volume of fluid, associated with a single wave event, that flows over the end of the beach. The theoretical calculations investigate the motion using the shallow-water equations and the fluid is allowed to flow freely over the end of the beach. Two models of wave events are considered: dam-break initial conditions, in which fluid collapses from rest to run-up and overtop the beach, and a waveform that models swash associated with the collapse of a long solitary bore. The calculations are made using quasi-analytical techniques, following the hodograph transformation of the governing equations. They yield predictions for the volume of fluid per unit width that overtops the beach, primarily as a function of the dimensionless length of the beach. These predictions are often far in excess of previous theoretical calculations. New experimental results are also reported in which the overtopping volumes due to flows initiated from dam-break conditions are studied for a range of reservoir lengths and heights and for a range of lengths and inclinations of the beach. Without the need for any empirically fitted parameters, good agreement is found between the experimental measurements and the theoretical predictions in regimes for which the effects of drag are negligible.
LanguageEnglish
Pages521-553
Number of pages33
JournalJournal of Fluid Mechanics
Volume666
Early online date16 Nov 2010
DOIs
Publication statusPublished - 14 Jan 2011

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beaches
Beaches
dams
Fluids
fluids
Dams
predictions
hodographs
splashing
shallow water
drag
inclination
Drag
waveforms
cavities
Water

Keywords

  • coastal engineering
  • shallow water flows
  • hydraulic control

Cite this

Hogg, Andrew J ; Baldock, Tom E. ; Pritchard, David. / Overtopping a truncated planar beach. In: Journal of Fluid Mechanics. 2011 ; Vol. 666. pp. 521-553.
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Overtopping a truncated planar beach. / Hogg, Andrew J; Baldock, Tom E.; Pritchard, David.

In: Journal of Fluid Mechanics, Vol. 666, 14.01.2011, p. 521-553.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Overtopping a truncated planar beach

AU - Hogg, Andrew J

AU - Baldock, Tom E.

AU - Pritchard, David

PY - 2011/1/14

Y1 - 2011/1/14

N2 - Run-up on a truncated impermeable beach is analysed theoretically andexperimentally to find the volume of fluid, associated with a single wave event, that flows over the end of the beach. The theoretical calculations investigate the motion using the shallow-water equations and the fluid is allowed to flow freely over the end of the beach. Two models of wave events are considered: dam-break initial conditions, in which fluid collapses from rest to run-up and overtop the beach, and a waveform that models swash associated with the collapse of a long solitary bore. The calculations are made using quasi-analytical techniques, following the hodograph transformation of the governing equations. They yield predictions for the volume of fluid per unit width that overtops the beach, primarily as a function of the dimensionless length of the beach. These predictions are often far in excess of previous theoretical calculations. New experimental results are also reported in which the overtopping volumes due to flows initiated from dam-break conditions are studied for a range of reservoir lengths and heights and for a range of lengths and inclinations of the beach. Without the need for any empirically fitted parameters, good agreement is found between the experimental measurements and the theoretical predictions in regimes for which the effects of drag are negligible.

AB - Run-up on a truncated impermeable beach is analysed theoretically andexperimentally to find the volume of fluid, associated with a single wave event, that flows over the end of the beach. The theoretical calculations investigate the motion using the shallow-water equations and the fluid is allowed to flow freely over the end of the beach. Two models of wave events are considered: dam-break initial conditions, in which fluid collapses from rest to run-up and overtop the beach, and a waveform that models swash associated with the collapse of a long solitary bore. The calculations are made using quasi-analytical techniques, following the hodograph transformation of the governing equations. They yield predictions for the volume of fluid per unit width that overtops the beach, primarily as a function of the dimensionless length of the beach. These predictions are often far in excess of previous theoretical calculations. New experimental results are also reported in which the overtopping volumes due to flows initiated from dam-break conditions are studied for a range of reservoir lengths and heights and for a range of lengths and inclinations of the beach. Without the need for any empirically fitted parameters, good agreement is found between the experimental measurements and the theoretical predictions in regimes for which the effects of drag are negligible.

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