Some probabilistic properties of surf parameter

• Autorzy: Myrhaug Dag

Identyfikatory

DOI

10.1016/j.oceano.2020.02.003

• Języki publikacji: EN

Abstrakty

EN

This article is supplementary to Myrhaug (2018) and presents some probabilistic properties of the surf parameter for individual waves and the spectral surf parameter for sea states by using distributions based on data from the Norwegian continental shelf. The average statistical features given by the mean value and the standard deviation of the two surf parameters are considered. Examples of results for the surf parameter are provided for a Phillips spectrum and a family of JONSWAP spectra for wind sea, and for sea states using a joint frequency table of significant wave height and mean zero-crossing wave period for combined wind sea and swell. The spectral surf parameter results are obtained by using a joint distribution of significant wave height and spectral surf parameter, and the mean statistical properties are given for joint frequency tables of significant wave height and mean zero-crossing wave period from three deep water locations on the Norwegian continental shelf. It is also demonstrated how the results can be applied to calculate the vertical wave runup elevation for breaking waves.

Słowa kluczowe

EN

surf parameter; spectral surf parameter; Phillips spectrum; JONSWAP spectrum; joint frequency tables; wave runup; wave statistics

• Wydawca: Polish Academy of Sciences, Institute of Oceanology ; Elsevier
• Czasopismo: Oceanologia
• Rocznik: 2020
• Tom: No. 62 (3)
• Strony: 395--401
• Opis fizyczny: Bibliogr. 27 poz., tab.

Twórcy

autor

Myrhaug Dag

• Department of Marine Technology, Norwegian University of Science and Technology (NTNU), Otto Nielsens vei 10, NO-7491 Trondheim, Norway

Bibliografia

• [1] Abramowitz, M., Stegun, I. A., 1972. Handbook of Mathematical Functions. Dover Publications, Inc., New York, 1046 pp.
• [2] Atkinson, A. L., Power, H. E., Monra, T., Callaghan, D. P., Baldock, T. E., 2017. Assessment of runup predictions by empirical models on non-truncated beaches on the south-east Australian coast. Coast. Eng. 119, 15-31, https://doi.org/10.1016/j.coastaleng.2016.10.001.
• [3] Baldock, T. E., Cox, D., Maddux, K., Killian, J., Fayler, L., 2009. Kinematics of breaking tsunami wave fronts: A data set from large scale laboratory experiments. Coast. Eng. 56 (5-6), 506-516, https://doi.org/10.1016/j.coastaleng.2008.10.011.
• [4] Battjes, J. A., 1974. Surf similarity. In: Proceedings 14 th Int. Conf. on Coastal Engineering, 1, New York. ASCE, 466-479.
• [5] Blenkinsopp, C. E., Matias, A., Howe, D., Castelle, B., Marieu, V., Turner, I. L., 2016. Wave runup and overwash on a prototype-scale sand barrier. Coast. Eng. 113, 88-103, https://doi.org/10.1016/j.coastaleng.2015.08.006.
• [6] Bury, K. V., 1975. Statistical Models in Applied Science. John Wiley & Sons, New York, 646 pp.
• [7] de la Pena, J. M., Sanches-Gonzales, J. F., Diaz-Sanches, R., 2014. Wave runup in a sand bed physical model. J. Waterw. Port Coast. 140 (4), https://doi.org/10.1061/(ASCE)ww.1943-5460.0000246.
• [8] EurOtop, 2018. Manual on wave overtopping of sea defences and related structures. In: Van der Meer, J. W., Allsop, N. W. H., Bruce, T., De Rouck, J., Kortenhaus, A., Pullen, T., Schuttrumpf, H., Troch, P., Zanuttigh, B. (Eds.), An overtopping manual based on European research, but for worldwide application 2nd edn., 320 pp., www.overtopping-manual.com.
• [9] Gran, S., 1992. A Course in Ocean Engineering. Elsevier, Amsterdam, 583 pp.
• [10] Hunt, I. A., 1959. Design of seawalls and breakwaters. Proceedings of the American Society of Civil Engineers 85, 123-152.
• [11] Iribarren, C. R., Nogales, C., 1949. Protection des ports (Sect. 2, Comm. 4. In: 17th Int. Nav. Congress, Lisbon, 31-80.
• [12] Kim, Y. C., 2010. Handbook of Coastal and Ocean Engineering. World Scientific, Singapore, 1163 pp.
• [13] Mathisen, J., Bitner-Gregersen, E., 1990. Joint distribution for significant wave height and wave zero-up-crossing period. Appl. Ocean Res. 12 (2), 93-103.
• [14] Myrhaug, D., 2015. Estimation of wave runup on shorelines based on long-term variation of wave conditions. J. Ocean Eng. Mar. Energy 1 (2), 193-197, https://doi.org/10.1007/S40722-015-0016-4.
• [15] Myrhaug, D., 2018. Some probabilistic properties of deep water wave steepness. Oceanologia 60 (2), 187-192, https://doi.org/10.1016/j.oceano.2017.10.003.
• [16] Myrhaug, D., Fouques, S., 2007. Discussion of “Distributions of wave steepness and surf parameter”by M. Aziz Tayfun. J. Waterw. Port Coast. 133 (3), 242-243, https://doi.org/10.1061/(ASCE)0733-950X(2007)133:3(242).
• [17] Myrhaug, D., Fouques, S., 2010. A joint distribution of significant wave height and characteristic surf parameter. Coast. Eng. 57 (10), 948-952, https://doi.org/10.1016/j.coastaleng.2010.05.001.
• [18] Myrhaug, D., Fouques, S., 2012. Joint distributions of wave height with surf parameter and breaker index for individual waves. Coast. Eng. 60, 235-247, https://doi.org/10.1016/j.coastaleng.2011.10.008.
• [19] Myrhaug, D., Kjeldsen, S. P., 1986. Steepness and asymmetry of extreme waves and the highest waves in deep water. Ocean Eng. 13 (6), 549-568.
• [20] Myrhaug, D., Leira, B. J., 2011. A bivariate Fréchet distribution and its application to the statistics of two successive surf parameters. Proceedings Institute Mechanical Engineers, Pt. M: J. Eng. Mar. Environ. 225 (1), 67-74, https://doi.org/10.1243/14750902JEME205.
• [21] Myrhaug, D., Leira, B. J., 2017. Application of wave runup and wave rundown formulae based on long-term variation of wave conditions. Coast. Eng. 120, 75-77, https://doi.org/10.1016/j.coastaleng.2016.11.013.
• [22] Myrhaug, D., Li, H., Wang, H., 2016. Comparative study of joint distributions of wave height and surf parameter for individual waves including spectral bandwidth effects. Coast. Eng. 114, 341-346, https://doi.org/10.1016/j.coastaleng.2016.05.002.
• [23] Myrhaug, D., Rue, H., 2009. On a joint distribution of two successive surf parameters. In: Brebbia, C. A., Benassai, G., Rodriquez, G. (Eds.), Coastal Processes. Wit Press, Southampton, Hampshire, UK, 85-96.
• [24] Myrhaug, D., Sunde, T., 2018. Wave runup and wave rundown estimation based on long-term variation of wind statistics. Proceedings of the Institution of Civil Engineers — Mar. Eng. 171 (1), 40-46, https://doi.org/10.1680/jmaen.2017.12.
• [25] Myrhaug, D., Sunde, T., 2019. Assessment of wave runup and wave rundown estimation based on observed long-term wave conditions. IOP Conf. Ser.: Material Science and Engineering 700 (1), https://doi.org/10.1088/1757-899X/700/1/012006.
• [26] Tayfun, M. A., 2006. Distributions of wave steepness and surf parameter. J. Waterw. Port Coast. 132 (1), 1-9, https://doi.org/10.1061/(ASCE)0733-950X(2006)132:1(1).
• [27] Torsethaugen, K., 1996. Model for doubly peaked wave spectra. In: Tech. Rep. No. STF22A96204, Civ. Env. Eng., Trondheim, Norway.