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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*
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

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.

Type
Rapids
Copyright
© 2015 Cambridge University Press 

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References

Bennetts, L. G., Alberello, A., Meylan, M. H., Cavaliere, C., Babanin, A. & Toffoli, A. 2015 An idealised experimental model of ocean surface wave transmission by an ice floe. Ocean Model; doi:10.1016/j.ocemod.2015.03.001.CrossRefGoogle Scholar
Bennetts, L. G. & Williams, T. D. 2010 Wave scattering by ice floes and polynyas of arbitrary shape. J. Fluid Mech. 662, 535.Google Scholar
Bennetts, L. G. & Williams, T. D. 2015 Water wave transmission by an array of floating disks. Proc. R. Soc. Lond. A 471, 20140698.Google Scholar
Buchner, B. & Cozijn, J. L. 1997 An investigation into the numerical simulation of green water. In Proceedings of International Conference on the Behaviour of Offshore Structures, vol. 2, pp. 113125. Elsevier Science.Google Scholar
Doble, M. J. & Bidlot, J.-R. 2013 Wavebuoy measurements at the Antarctic sea ice edge compared with an enhanced ECMWF WAM: progress towards global waves-in-ice modeling. Ocean Model. 70, 166173.Google Scholar
Dumont, D., Kohout, A. L. & Bertino, L. 2011 A wave-based model for the marginal ice zone including a floe breaking parameterization. J. Geophys. Res. 116, C04001.Google Scholar
Gottlieb, S. & Shu, C. W. 1998 Total variation diminishing Runge–Kutta schemes. Maths Comput. 67 (221), 7385.Google Scholar
Greco, M.2001 A two-dimensional study of green-water loading. PhD thesis, Norwegian University of Science and Technology.Google Scholar
Kurganov, A. & Tadmor, E. 2000 New high-resolution central schemes for nonlinear conservation laws and convection–diffusion equations. J. Comput. Phys. 160 (1), 241282.Google Scholar
Meylan, M. H., Bennetts, L. G., Alberello, A., Cavaliere, C. & Toffoli, A. 2015 Experimental and theoretical models of wave-induced flexure of a sea ice floe. Phys. Fluids 27, 041704.CrossRefGoogle Scholar
Meylan, M. H., Bennetts, L. G. & Kohout, A. L. 2014 In-situ measurements and analysis of ocean waves in the Antarctic marginal ice zone. Geophys. Res. Lett. 41 (14), 50465051.CrossRefGoogle Scholar
Meylan, M. H. & Squire, V. A. 1994 The response of ice floes to ocean waves. J. Geophys. Res. 99 (C1), 891900.Google Scholar
Mizoguchi, S. 1989 Analysis of shipping water with the experiments and the numerical calculations. J. Soc. Nav. Archit. Japan 27, 8391.Google Scholar
Montiel, F., Bonnefoy, F., Ferrant, P., Bennetts, L. G., Squire, V. A. & Marsault, P. 2013a Hydroelastic response of floating elastic disks to regular waves. Part 1. Wave tank experiments. J. Fluid Mech. 723, 604628.Google Scholar
Montiel, F., Bennetts, L. G., Squire, V. A., Bonnefoy, F. & Ferrant, P. 2013b Hydroelastic response of floating elastic disks to regular waves. Part 2. Modal analysis. J. Fluid Mech. 723, 629652.Google Scholar
Papathanasiou, T. K., Karperaki, A., Theotokoglou, E. E. & Belibassakis, K. A. 2015 A higher order FEM for time-domain hydroelastic analysis of large floating bodies in an inhomogeneous shallow water environment. Proc. R. Soc. Lond. A 471, 20140643.Google Scholar
Squire, V. A. 2007 Of ocean waves and sea-ice revisited. Cold Reg. Sci. Technol. 49, 110133.Google Scholar

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