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Developing new formulae for prediction of mean overtopping discharge at vertical walls

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Abstract

In this paper, a comprehensive nonlinear regression analysis has been conducted on widely known dimensionless parameters associated with the overtopping phenomena as one of the highest priority design criteria in seawall design, using CLASH (Crest Level Assessment of coastal Structures by full-scale monitoring, neural network prediction, and Hazard analysis on permissible wave overtopping) database, as the most viable source in this regard. Accordingly, new formulae have been put forward for calculation of mean overtopping discharge at vertical walls on horizontal as well as sloping foreshore. It has statistically shown that presented formulae have a comparatively better correlation with related CLASH data when compared with the existing ones. Therefore, implementing new formulae will hopefully result in a more reliable design of vertical walls with respect to overtopping discharge performance.

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Notes

  1. Crest Level Assessment of coastal Structures by full scale monitoring, neural network prediction and Hazard analysis on permissible wave overtopping.

References

  1. van der Meer JW, Bruce T (2013) New physical insights and design formulae on wave overtopping at sloping and vertical structures. J Waterw Port Coast Ocean Eng. doi:10.1061/(ASCE)

    Google Scholar 

  2. Verhaeghe H (2005) Neural network prediction of wave overtopping at coastal structures. Ph.D. Thesis, Universiteit Gent, Gent, Belgium, ISBN 90-8578- 018-7

  3. Ahrens JP, Heimbaugh MS, Davidson DD (1986) Irregular wave overtopping of seawall/revetment configurations, Roughans Point, Massachusetts, USA, final report of experimental model investigation. Coastal Engineering Research Centre, Department of the Army, Mississippi

  4. Ahrens JP, Heimbaugh MS (1988) Seawall overtopping model. In: Proceedings of the 21st International Conference on Coastal Engineering, Malaga, Spain, ASCE, pp 795–806

  5. Franco L (1994) Further results of hydraulic model tests on wave overtopping. In: MAST2-MCS, 2′workshop, Milano

  6. Allsop NWH, Besley P, Madurini L (1995) Overtopping performance of vertical walls and composite breakwaters, seawalls and low reflection alternatives. In: Final proceedings of Monolithic Coastal Structures (MCS) project workshop, Alderney, United Kingdom

  7. Besley P, Stewart T, Allsop NWH (1998) Overtopping of vertical structures: new prediction methods to account for shallow water conditions. In: Proceedings of the ICE conference on coastlines, structures and breakwaters, Thomas Telford, London

  8. Bruce T, Allsop NWH, Pearson J (2001) Violent overtopping at seawalls—extended prediction methods. In: Proceedings of the breakwaters, coastal structures and coastlines, Thomas Telford, pp 245–256

  9. Allsop NWH, Besley P, Pearson J, Bruce T (2005) Wave overtopping at vertical and steep seawalls. In: Proceedings of the Institution of Civil Engineers-Maritime Engineering, vol 158, no. 3. Thomas Telford Ltd, London, pp 103–114

  10. Besley P (1999) Overtopping of vertical walls—design and assessment manual. In: R & D Technical Report W 178, ISBN 1 85705 069 X, Environment Agency, Bristol. Also from http://www.environment-agency.gov.uk/commondata/105385/w178

  11. De Rouck J, van der Meer JW, Allsop NWH, Franco L, Verhaeghe H (2002) Wave overtopping at coastal structures: development of a database towards an upgraded prediction methods. In: Proceedings of 28th international conference on coastal engineering, Kobe, Vol. 2, pp 2140–2152

  12. van der Meer JW, Verhaeghe H, Steendam GJ (2005) Database on wave overtopping at coastal structures, CLASH WP2 database. Infram, Marknesse

    Google Scholar 

  13. Goda Y (2009) Derivation of unified wave overtopping formulae for seawalls with smooth, impermeable surfaces based on selected CLASH datasets. Coast Eng 56:385–399

    Article  Google Scholar 

  14. Bruce T, van der Meer J, Allsop NWH, Franco L, Kortenhaus A, Pullen T, Schüttrumpf H (2013) EurOtop revisited. Part 2: vertical structures

  15. Franco L, De Gerloni M, van der Meer JW (1994) Wave overtopping on vertical and composite breakwaters. In: Proceedings of 24th international conference on coastal engineering, ASCE, pp 1030–1045

  16. De Rouck J, Verhaeghe H, Geeraerts J (2009) Crest level assessment of coastal structures - General overview. Coast Eng 56(2):99–107

    Article  Google Scholar 

  17. Verhaeghe H, van der Meer JW, Steendam GJ (2003) Database on wave overtopping at coastal structures, CLASH WP2 internal report. Ghent University, Belgium

    Google Scholar 

  18. Steendam GJ, van der Meer JW, Verhaeghe H, Besley P, Franco L, van Gent MRA (2004) The international database on wave overtopping. In: Proceedings of the 29th international conference on coastal engineering, Lisbon, Portugal. ASCE, pp 4301–4313

  19. van der Meer JW, Verhaeghe H, Steendam GJ (2008) The new wave overtopping database for coastal structures. Coast Eng 56:108–120

    Article  Google Scholar 

  20. Demirci M, Aköz MS (2013) Investigation of bar parameters occurred by cross-shore sediment transport. Int J Naval Archit Ocean Eng 5(2):277–286

    Article  Google Scholar 

  21. Smid R, Schüttrumpf H, Möller J (2001) Investigations on determining the mean wave overtopping ratio ata vertical wall and a 1:1.5 sloped vertical wall with and without freeboard, Leichtweiβ Institute for Hydraulics, TU Braunschweig, Germany (in German)

  22. Moré JJ (1977) The Levenberg–Marquardt algorithm: implementation and theory in numerical analysis. In: Watson GA (ed) Lecture notes in mathematics. Springer, Berlin

    Google Scholar 

  23. Willmott CJ, Robeson SM, Matsuura K (2012) Short communication a refined index of model performance. Int J Climatol 32:2088–2094

    Article  Google Scholar 

  24. Willmott CJ (1981) On the validation of models. Phys Geogr 2:184–194

    Google Scholar 

  25. Oumeraci H, Kortenhaus A, Haupt R (2001) Investigations on reductions of wave overtopping over vertical walls by parapets, Bericht Nr. 865, TU Braunschweig (in German)

  26. Cornett A, Li Y, Budvietas A (1999) Wave overtopping at chamfered and overhanging vertical structures. In: Proceedings of international workshop on natural disasters by storm waves and their reproduction in experimental Basins, Kyoto, Japan

  27. Herbert DM (1993) Wave overtopping of vertical walls. Hydraul Res Wallingford, Report, p R316

    Google Scholar 

  28. De Waal JP (1994) Wave overtopping of vertical coastal structures. Influence of wave breaking and wind. In: Delft Hydraulics report H1635

  29. Goda Y, Kishira Y, Kamiyama Y (1975) Laboratory investigation on the overtopping rates of vertical walls by irregular waves. Ports Harb Res Inst 14(4):3–44

    Google Scholar 

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Correspondence to Roozbeh Panahi.

Glossary

H m0 deep [m]

Significant wave height from spectral analysis \(= 4\sqrt {m_{0} }\), determined at deep water

T pdeep [s]

Peak period from spectral analysis at deep water

T m−1,0 deep [s]

Mean period either from spectral analysis = m2/m0 or from time domain analysis (zero-downcrossing) at deep water

H m0, toe [m]

Significant wave height from spectral analysis \(= 4\sqrt {m_{0} }\) at the toe of structure

T p toe [s]

Peak period from spectral analysis at the toe of the structure

T m-10, toe [s]

Mean period from spectral analysis at the toe of the structure = m-1/m0

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Hosseini, A.S., Radfar, S. & Panahi, R. Developing new formulae for prediction of mean overtopping discharge at vertical walls. J Mar Sci Technol 22, 414–425 (2017). https://doi.org/10.1007/s00773-016-0421-y

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  • DOI: https://doi.org/10.1007/s00773-016-0421-y

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