Technical Papers
Mar 6, 2019

Using Analytical Approach to Estimate Wave Transmission Coefficient in Floating Structures

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 145, Issue 3

Abstract

This paper presents a simplified analytical approach, based on power transmission theory, to estimate the transmission coefficient of a floating box structure with finite width. In evaluating the transmitted wave power, this approach considers both the incident wave power and the heave oscillation of the floating structure. Additional power due to the acceleration of the floating body and the hydrodynamic mass increases the transmitted wave power behind the floating structure and consequently increases the transmission coefficient. The proposed theoretical approach was validated using laboratory-scale experimental data obtained from the literature for floating breakwaters and wave energy converters. The results of the proposed approach were in good to excellent agreement with those of experimental studies. In addition, the reliability of the present model was assessed by comparing its results with those of other theoretical approximations. The effects of sea depth, relative draft, and incident wave height on the magnitude of the transmission coefficient distinguish the proposed model from others in the existing literature.

Get full access to this article

View all available purchase options and get full access to this article.

References

Beels, C. 2009. “Optimization of the lay-out of a farm of wave energy converters in the North Sea: Analysis of wave power resources, wake effects, production and cost.” Ph.D. thesis, Dept. of Civil Engineering, Ghent Univ.
Beels, C., P. Troch, K. De Visch, J. P. Kofoed, and G. De Backer. 2010. “Application of the time-dependent mild-slope equations for the simulation of wake effects in the lee of a farm of wave dragon wave energy converters.” Renewable Energy 35 (8): 1644–1661. https://doi.org/10.1016/j.renene.2009.12.001.
Burcharth, H. F., et al. 2015. “Innovative engineering solutions and best practices to mitigate coastal risk.” Chap. 3 in Coastal risk management in a changing climate, 55–170. Boston: Butterworth Heinemann.
Dean, R. G., and R. A. Dalrymple. 1991. Water wave mechanics for engineers and scientists. Vol. 2. Singapore: World Scientific Publishing Company.
Diaconu, S., and E. Rusu. 2013. “The environmental impact of a wave dragon array operating in the Black Sea.” Sci. World J. 2013: 498013.
Diamantoulaki, I., and D. C. Angelides. 2011. “Modeling of cable-moored floating breakwaters connected with hinges.” Eng. Struct. 33 (5): 1536–1552. https://doi.org/10.1016/j.engstruct.2011.01.024.
Dong, G., Y. Zheng, Y. Li, B. Teng, C. Guan, and D. Lin. 2008. “Experiments on wave transmission coefficients of floating breakwaters.” Ocean Eng. 35 (8–9): 931–938. https://doi.org/10.1016/j.oceaneng.2008.01.010.
Goggins, J., and W. Finnegan. 2014. “Shape optimisation of floating wave energy converters for a specified wave energy spectrum.” Renewable Energy 71: 208–220. https://doi.org/10.1016/j.renene.2014.05.022.
Hales, L. Z. 1981. Floating breakwaters: State-of-the-art literature review. Technical Rep. TR81-1. Springfield, VA: United States Army Corps of Engineers.
He, F., Z. Huang, and A. W. Law. 2012. “Hydrodynamic performance of a rectangular floating breakwater with and without pneumatic chambers: An experimental study.” Ocean Eng. 51: 16–27. https://doi.org/10.1016/j.oceaneng.2012.05.008.
Holthuijsen, L. H. 2010. Waves in oceanic and coastal waters. Cambridge, UK: Cambridge University Press.
Ji, C., X. Chen, J. Cui, Z. Yuan, and A. Incecik. 2015. “Experimental study of a new type of floating breakwater.” Ocean Eng. 105: 295–303. https://doi.org/10.1016/j.oceaneng.2015.06.046.
Koutandos, E., P. Prinos, and X. Gironella. 2005. “Floating breakwaters under regular and irregular wave forcing: Reflection and transmission characteristics.” J. Hydraul. Res. 43 (2): 174–188. https://doi.org/10.1080/00221686.2005.9641234.
Kramer, M. M., and P. B. Frigaard. 2002. “Efficient wave energy amplification with wave reflectors.” In Proc., 12th Int. Offshore and Polar Eng. Conf., 707–712. Mountain View, CA: International Society of Offshore and Polar Engineers.
Kriebel, D. L., and C. A. Bollmann. 1996. “Wave transmission past vertical wave barriers.” In Proc., 25th Int. Conf. on Coastal Engineering (ICCE), 2470–2483. Reston, VA: ASCE.
Li, D., V. Panchang, Z. Tang, Z. Demirbilek, and J. Ramsden. 2005. “Evaluation of an approximate method for incorporating floating docks in harbor wave prediction models.” Can. J. Civ. Eng. 32 (6): 1082–1092. https://doi.org/10.1139/l05-059.
Macagno, E. O. 1954. “Houle dans un canal présentant un passage en charge.” [In French.] La Houille Blanche 1 (1): 10–37. https://doi.org/10.1051/lhb/1954020.
Martinelli, L., P. Ruol, and B. Zanuttigh. 2008. “Wave basin experiments on floating breakwaters with different layouts.” Appl. Ocean Res. 30 (3): 199–207. https://doi.org/10.1016/j.apor.2008.09.002.
McCartney, B. L. 1985. “Floating breakwater design.” J. Waterway, Port, Coastal, Ocean Eng. 111 (2): 304–318. https://doi.org/10.1061/(ASCE)0733-950X(1985)111:2(304).
Ning, D., X. Zhao, M. Göteman, and H. Kang. 2016. “Hydrodynamic performance of a pile-restrained WEC-type floating breakwater: An experimental study.” Renewable Energy 95: 531–541. https://doi.org/10.1016/j.renene.2016.04.057.
Nørgaard, J. H., and T. L. Andersen. 2012. “Investigation of wave transmission from a floating wave dragon wave energy converter.” In Proc., 22nd Int. Offshore and Polar Engineering Conf. Mountain View, CA: International Society of Offshore and Polar Engineers.
Oliver, J., P. Aristaghes, K. Cederwall, D. Davidson, F. De Graaf, M. Thackery, and A. Torum. 1994. Floating breakwaters: A practical guide for design and construction. PIANC Rep., Working Group 13. Brussels, Belgium: Permanent International Association of Navigation Congresses.
Palha, A., L. Mendes, C. J. Fortes, A. Brito-Melo, and A. Sarmento. 2010. “The impact of wave energy farms in the shoreline wave climate: Portuguese pilot zone case study using pelamis energy wave devices.” Renewable Energy 35 (1): 62–77. https://doi.org/10.1016/j.renene.2009.05.025.
Ruol, P., L. Martinelli, and P. Pezzutto. 2013. “Formula to predict transmission for π-type floating breakwaters.” J. Waterway, Port, Coastal, Ocean Eng. 139 (1): 1–8. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000153.
Ruol, P., B. Zanuttigh, L. Martinelli, P. Kofoed, and P. Frigaard. 2011. “Near-shore floating wave energy converters: Applications for coastal protection.” Coastal Eng. Proc. 1 (32): 61. https://doi.org/10.9753/icce.v32.structures.61.
Sorensen, R. M. 2005. Basic coastal engineering. Berlin/Heidelberg, Germany: Springer Science & Business Media.
Tsay, T. K., and P. L. Liu. 1983. “A finite element model for wave refraction and diffraction.” Appl. Ocean Res. 5 (1): 30–37. https://doi.org/10.1016/0141-1187(83)90055-X.
Türker, U. 2014. “Excess energy approach for wave energy dissipation at submerged structures.” Ocean Eng. 88: 194–203. https://doi.org/10.1016/j.oceaneng.2014.06.030.
Türker, U., and M. Kabdaslı. 2004. “Average sediment dislocation analysis for barred profiles.” Ocean Eng. 31 (14): 1741–1756. https://doi.org/10.1016/j.oceaneng.2004.03.008.
Ursell, F. 1947. “The effect of a fixed vertical barrier on surface waves in deep water.” Math. Proc. Cambridge 43 (3): 3) 374–382. https://doi.org/10.1017/S0305004100023604.
Venugopal, V., and G. H. Smith. 2007. “Wave climate investigation for an array of wave power devices.” In Proc., 7th European Wave and Tidal Energy Conf., 11–14. Porto, Portugal: Instituto de Engenharia Mecanica.
Wiegel, R. L. 1960. “Transmission of waves past a rigid vertical thin barrier.” J. Waterways Harbors Div. 86 (1): 1–12.
Yamamoto, T., J. H. Nath, and L. S. Slotta. 1974. “Wave forces on cylinders near plane boundary.” J. Waterways, Harbors and Coast Eng. Div. 100 (4): 345–359.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 145Issue 3May 2019

History

Received: Feb 23, 2018
Accepted: Nov 9, 2018
Published online: Mar 6, 2019
Published in print: May 1, 2019
Discussion open until: Aug 6, 2019

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, Civil Engineering Dept., Eastern Mediterranean Univ., North Cyprus Mersin 10, Famagusta 99450, Turkey (corresponding author). ORCID: https://orcid.org/0000-0003-2432-3798. Email: [email protected]
Umut Türker, Ph.D. [email protected]
Associate Professor, Civil Engineering Dept., Eastern Mediterranean Univ., North Cyprus Mersin 10, Famagusta 99450, Turkey. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share