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Modelling water wave overwash of a thin floating plate

Published online by Cambridge University Press:  20 July 2015

D. M. Skene ,
L. G. Bennetts ,
M. H. Meylan  and
A. Toffoli
D. M. Skene*
Affiliation:
School of Mathematical Sciences, University of Adelaide, SA 5005, Australia
L. G. Bennetts
Affiliation:
School of Mathematical Sciences, University of Adelaide, SA 5005, Australia
M. H. Meylan
Affiliation:
School of Mathematical and Physical Sciences, University of Newcastle, NSW 2308, Australia
A. Toffoli
Affiliation:
Centre for Ocean Engineering Science and Technology, Swinburne University of Technology, VIC 3122, Australia
*
†Email address for correspondence: david.skene@adelaide.edu.au
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Abstract

A theoretical model of water wave overwash of a thin floating plate is proposed. The nonlinear shallow-water equations are used to model the overwash, and the linear potential-flow/thin-plate model to force it. Model predictions are compared with overwash depths measured during a series of laboratory wave basin experiments. The model is shown to be accurate for incident waves of low steepness or short length.

JFM classification

Geophysical and Geological Flows: Sea ice Waves/Free-surface Flows: Surface gravity waves
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 777 , 25 August 2015 , R3
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Copyright
© 2015 Cambridge University Press 

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References

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Skene et al. supplementary movie

Example of overwash with mean depth 0.81mm: Movie of test using 20mm thick PVC plate forced by waves with steepness kA=0.10 and length λ=1.00m

Download Skene et al. supplementary movie(Video)
Video 15.1 MB

Skene et al. supplementary movie

Example of overwash with mean depth 0.81mm: Movie of test using 20mm thick PVC plate forced by waves with steepness kA=0.10 and length λ=1.00m

Download Skene et al. supplementary movie(Video)
Video 8.8 MB
Supplementary material: PDF

Skene et al. supplementary material

Supplementary figure

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PDF 36.8 KB

Skene et al. supplementary movie

Example of overwash with mean depth 2.75mm: Movie of test using 10mm thick PP plate forced by waves with steepness kA=0.08 and length λ=1.56m

Download Skene et al. supplementary movie(Video)
Video 15.6 MB

Skene et al. supplementary movie

Example of overwash with mean depth 2.75mm: Movie of test using 10mm thick PP plate forced by waves with steepness kA=0.08 and length λ=1.56m

Download Skene et al. supplementary movie(Video)
Video 6.9 MB

Skene et al. supplementary movie

Movie of top panels of figure 3: Test uses 20mm thick PP forced by waves with steepness kA=0.08 and length λ=0.56

Download Skene et al. supplementary movie(Video)
Video 7.2 MB

Skene et al. supplementary movie

Movie of top panels of figure 3: Test uses 20mm thick PP forced by waves with steepness kA=0.08 and length λ=0.56

Download Skene et al. supplementary movie(Video)
Video 3.7 MB

Skene et al. supplementary movie

Movie of bottom panels of figure 3: Test uses 20mm thick PP forced by waves with steepness kA=0.08 and length λ=0.56

Download Skene et al. supplementary movie(Video)
Video 4.8 MB

Skene et al. supplementary movie

Movie of bottom panels of figure 3: Test uses 20mm thick PP forced by waves with steepness kA=0.08 and length λ=0.56

Download Skene et al. supplementary movie(Video)
Video 2.3 MB

Skene et al. supplementary movie

Movie of figure 5: Test uses 19mm thick PP forced by waves with steepness kA=0.08 and length λ=1.56

Download Skene et al. supplementary movie(Video)
Video 11.8 MB

Skene et al. supplementary movie

Movie of figure 5: Test uses 19mm thick PP forced by waves with steepness kA=0.08 and length λ=1.56

Download Skene et al. supplementary movie(Video)
Video 6.3 MB