Technical Papers
Nov 22, 2021

Bore Impact on Decks of Coastal Structures

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 148, Issue 2

Abstract

Bore impact on horizontal fixed decks of coastal structures is studied by use of the Level I Green–Naghdi (GN) equations and the Navier–Stokes (NS) equations. The bore is generated by the breaking of a water reservoir, and may represent the propagation of a tsunami on land or broken storm waves. The bore-induced horizontal and vertical forces are determined and their variation with the bore and deck conditions is studied in this work. Various conditions of deck location with respect to the water level are considered, including cases with the deck under or above the still-water level. Two types of bore are considered, namely (i) a bore generated by a dam break, where the reservoir water depth is substantially larger than the downstream depth, and (ii) a bore generated by an initial mound of water, where the reservoir water depth is comparable to the downstream depth. It is shown that these mechanisms result in the formation of significantly different bore shapes. It is also shown that the relative height of the reservoir and the downstream water depth play a significant role in the bore generation and its impact on coastal structures. It is also found that the bore-induced forces vary almost linearly with the change in amplitude of the reservoir, while a change in the length of the reservoir has little effect on the loads. The horizontal force on submerged decks is shown to be independent of the submergence depth of the deck; this is due to the uniform velocity distribution over the water column of the bore. Results of the GN and NS models are compared with each other for submerged cases and the limitations, accuracy, and efficiency of these models in studying this problem are discussed. Results of the GN equations are in close agreement with the NS equations, making them a computationally efficient alternative for the study of this problem.

Get full access to this article

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

References

Azadbakht, M., and S. C. Yim. 2015. “Simulation and estimation of tsunami loads on bridge superstructures.” J. Waterway, Port, Coastal, Ocean Eng. 141 (2): 04014031. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000262.
Bradner, C., T. Schumacher, D. Cox, and C. Higgins. 2011. “Experimental setup for a large-scale bridge superstructure model subjected to waves.” J. Waterway, Port, Coastal, Ocean Eng. 137 (1): 3–11. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000059.
Chan, I.-C., and P. L.-F. Liu. 2012. “On the runup of long waves on a plane beach.” J. Geophys. Res.: Oceans 117 (C8). C08006. https://doi.org/10.1029/2012JC007994.
Chen, C., B. W. Melville, N. Nandasena, and F. Farvizi. 2018. “An experimental investigation of tsunami bore impacts on a coastal bridge model with different contraction ratios.” J. Coastal Res. 34 (2): 460–469. https://doi.org/10.2112/JCOASTRES-D-16-00128.1.
Douglass, S. L., Q. Chen, J. M. Olsen, B. L. Edge, and D. Brown. 2006. Wave forces on bridge decks. Mobile, AL: Coastal Transportation Engineering Research and Education Center, Univ. of South Alabama.
Ertekin, R. C. 1984. “Soliton generation by moving disturbances in shallow water: Theory, computation and experiment.” Ph.D. thesis, Naval Architecture and Offshore Engineering Dept., Univ. of California at Berkeley.
Ertekin, R. C., M. Hayatdavoodi, and J. W. Kim. 2014. “On some solitary and cnoidal wave diffraction solutions of the Green–Naghdi equations.” Appl. Ocean Res. 47: 125–137. https://doi.org/10.1016/j.apor.2014.04.005.
Ertekin, R. C., W. C. Webster, and J. V. Wehausen. 1986. “Waves caused by a moving disturbance in a shallow channel of finite width.” J. Fluid Mech. 169 (1): 275–292. https://doi.org/10.1017/S0022112086000630.
Ertekin, R. C., and J. V. Wehausen. 1986. “Some soliton calculations.” In Proc., 16th Symp. on Naval Hydrodynamics, edited by W. C. Webster, 167–184. Washington, DC: National Academy Press.
Ferziger, J. H., and M. Peric. 2012. Computational methods for fluid dynamics, Vol. 3. Springer Science & Business Media.
Green, A. E., and P. M. Naghdi. 1974. “On the theory of water waves.” Proc. R. Soc. London, Ser. A 338 (1612): 43–55.
Green, A. E., and P. M. Naghdi. 1976. “A derivation of equations for wave propagation in water of variable depth.” J. Fluid Mech. 78 (2): 237–246. https://doi.org/10.1017/S0022112076002425.
Green, A. E., and P. M. Naghdi. 1977. “Water waves in a nonhomogeneous incompressible fluid.” J. Appl. Mech. 44 (4): 523–528. https://doi.org/10.1115/1.3424129.
Greenshields, C. J. 2018. “OpenFOAM user guide.” Version 6 OpenFOAM Foundation Ltd, 3(1).
Guo, A., Q. Fang, X. Bai, and H. Li. 2015a. “Hydrodynamic experiment of the wave force acting on the superstructures of coastal bridges.” J. Bridge Eng. 20 (12): 04015012. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000758.
Guo, A., Q. Fang, and H. Li. 2015b. “Analytical solution of hurricane wave forces acting on submerged bridge decks.” Ocean Eng. 108 (3): 519–528. https://doi.org/10.1016/j.oceaneng.2015.08.018.
Hayatdavoodi, M., and R. C. Ertekin. 2015a. “Nonlinear wave loads on a submerged deck by the Green–Naghdi equations.” J. Offshore Mech. Arct. Eng. 137 (1): 011102. https://doi.org/10.1115/1.4028997.
Hayatdavoodi, M., and R. C. Ertekin. 2015b. “Wave forces on a submerged horizontal plate. Part I: Theory and modelling.” J. Fluids Struct. 54 (Apr): 566–579. https://doi.org/10.1016/j.jfluidstructs.2014.12.010.
Hayatdavoodi, M., and R. C. Ertekin. 2015c. “Wave forces on a submerged horizontal plate–Part II: Solitary and cnoidal waves.” J. Fluids Struct. 54 (Apr): 580–596. https://doi.org/10.1016/j.jfluidstructs.2014.12.009.
Hayatdavoodi, M., and R. C. Ertekin. 2016. “Review of wave loads on coastal bridge decks.” Appl. Mech. Rev. 68 (3): 030802. https://doi.org/10.1115/1.4033705.
Hayatdavoodi, M., R. C. Ertekin, I. N. Robertson, and H. R. Riggs. 2015a. “Vulnerability assessment of coastal bridges on Oahu impacted by storm surge and waves.” Nat. Hazard. 79 (2): 1133–1157. https://doi.org/10.1007/s11069-015-1896-2.
Hayatdavoodi, M., R. C. Ertekin, and B. D. Valentine. 2017. “Solitary and cnoidal wave scattering by a submerged horizontal plate in shallow water.” AIP Adv. 7 (6): 065212. https://doi.org/10.1063/1.4987024.
Hayatdavoodi, M., B. Seiffert, and R. C. Ertekin. 2015b. “Experiments and calculations of cnoidal wave loads on a flat plate in shallow water.” J. Ocean Eng. Mar. Energy 1 (1): 77–99. https://doi.org/10.1007/s40722-014-0007-x.
Hayatdavoodi, M., K. Treichel, and R. C. Ertekin. 2019. “Parametric study of nonlinear wave loads on submerged decks in shallow water.” J. Fluids Struct. 86 (2): 266–289. https://doi.org/10.1016/j.jfluidstructs.2019.02.016.
Higuera, P., J. L. Lara, and I. J. Losada. 2013. “Realistic wave generation and active wave absorption for Navier–Stokes models: Application to OpenFOAM®.” Coastal Eng. 71 (4): 102–118. https://doi.org/10.1016/j.coastaleng.2012.07.002.
Hirt, C. W., and B. D. Nichols. 1981. “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comput. Phys. 39 (1): 201–225. https://doi.org/10.1016/0021-9991(81)90145-5.
Hoshikuma, J., G. Zhang, H. Nakao, and T. Sumimura. 2013. “Tsunami-Induced effects on girder bridges.” In Proc., Int. Symp. for Bridge Earthquake Engineering in Honor of Retirement of Professor Kazuhiko Kawashima, 11–23. Tokyo, Japan: Association of Earthquake Engineering.
Istrati, D., and I. Buckle. 2019. “Role of trapped air on the tsunami-induced transient loads and response of coastal bridges.” Geosciences 9 (4): 191. https://doi.org/10.3390/geosciences9040191.
Istrati, D., I. Buckle, P. Lomonaco, and S. Yim. 2018. “Deciphering the tsunami wave impact and associated connection forces in open-girder coastal bridges.” J. Mar. Sci. Eng. 6 (4): 148. https://doi.org/10.3390/jmse6040148.
Jasak, H., A. Jemcov, and Z. Tukovic. 2007. “Openfoam: A c++ library for complex physics simulations.” In Vol. 1000 of Proc., Int. Workshop on Coupled Methods in Numerical Dynamics, 1–20. Dubrovnik, Croatia: Inter-University Centre Dubrovnik.
Kawashima, K. 2012. “Damage of bridges due to the 2011 Great East Japan Earthquake.” J. Jpn. Assoc. Earthquake Eng. 12 (4): 4_319–4_338. https://doi.org/10.5610/jaee.12.4_319.
Knutson, T., et al. 2019. “Tropical cyclones and climate change assessment: Part i: Detection and attribution.” Bull. Am. Meteorol. Soc. 100 (10): 1987–2007. https://doi.org/10.1175/BAMS-D-18-0189.1.
Knutson, T. R., J. L. McBride, J. Chan, K. Emanuel, G. Holland, C. Landsea, I. Held, J. P. Kossin, A. Srivastava, and M. Sugi. 2010. “Tropical cyclones and climate change.” Nat. Geosci. 3 (3): 157–163. https://doi.org/10.1038/ngeo779.
Kosa, K. 2011. “Damage analysis of bridges affected by tsunami due to Great East Japan earthquake.” In Proc., 27Th U.S.-Japan Bridge Engineering Workshop, 55–65. Ibaraki, Japan: Public Works Research Institute.
Kuwabara, T., and W. P. Yen. 2011. “US–Japan joint reconnaissance report of bridge damage due to 2011 Tohoku earthquake.” In Proc., 43rd Joint Meeting of U.S.-Japan Panel on Wind And Seismic Effects, edited by K. Tamura, 152–164. Ibaraki, Japan: Public Works Research Institute.
Lalli, F., A. Bruschi, L. Liberti, S. Mandrone, V. Pesarino, and P. Bassanini. 2009. “Numerical analysis of flat plate breakwater.” In Coastal Engineering 2008, 3668–3680. Singapore: World Scientific.
Liu, C., Z. Huang, and S. Keat Tan. 2009. “Nonlinear scattering of non-breaking waves by a submerged horizontal plate: Experiments and simulations.” Ocean Eng. 36 (17): 1332–1345. https://doi.org/10.1016/j.oceaneng.2009.09.001.
Liu, J., M. Hayatdavoodi, and R. C. Ertekin. 2020. “On bore dynamics and pressure: RANS, Green–Naghdi, and Saint-Venant equations.” J. Offshore Mech. Arct. Eng. 142 (2): 021902. https://doi.org/10.1115/1.4044988.
Lo, H. Y., and P. L. Liu. 2014. “Solitary waves incident on a submerged horizontal plate.” J. Waterway, Port, Coastal, Ocean Eng. 140 (3): 04014009. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000236.
Madsen, P. A., D. R. Fuhrman, and H. A. Schäffer. 2008. “On the solitary wave paradigm for tsunamis.” J. Geophys. Res.: Oceans 113 (C12). C12012. https://doi.org/10.1029/2008JC004932.
Maruyama, K., Y. Tanaka, K. Kosa, A. Hosoda, N. Mizutani, and T. Nakamura. 2013. “Evaluation of tsunami force acted on bridges by Great East Japan earthquake.” In Proc., 10th Int. Conf. on Urban Earthquake Engineering, 7–16. Tokyo, Japan: Center for Urban Earthquake Engineering.
Mazinani, I., Z. B. Ismail, S. Shamshirband, A. M. Hashim, M. Mansourvar, and E. Zalnezhad. 2016. “Estimation of tsunami bore forces on a coastal bridge using an extreme learning machine.” Entropy 18 (5): 167. https://doi.org/10.3390/e18050167.
McPherson, R. L. 2008. “Hurricane induced wave and surge forces on bridge decks.” M.S. thesis, Ocean Engineering, Texas A&M Univ.
Mimura, N., K. Yasuhara, S. Kawagoe, H. Yokoki, and S. Kazama. 2011. “Damage from the Great East Japan earthquake and tsunami-a quick report.” Mitigation Adapt. Strategies Global Change 16 (7): 803–818. https://doi.org/10.1007/s11027-011-9297-7.
Mohamed, A. 2008. “Characterization of tsunami-like bores in support of loading on structures.” M.S. thesis, Dept. of Ocean and Resources Engineering, Univ. of Hawaii at Manoa.
Motley, M. R., G. I. Lemoine, and S. N. Livermore. 2014. “Three-dimensional loading effects of tsunamis on bridge superstructures.” In Proc., Structures Congress 2014, 1348–1358. Reston, VA: ASCE.
Motley, M. R., H. K. Wong, X. Qin, A. O. Winter, and M. O. Eberhard. 2016. “Tsunami-induced forces on skewed bridges.” J. Waterway, Port, Coastal, Ocean Eng. 142 (3): 04015025. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000328.
Neill, D. R., M. Hayatdavoodi, and R. C. Ertekin. 2018. “On solitary wave diffraction by multiple, in-line vertical cylinders.” Nonlinear Dyn. 91 (2): 975–994. https://doi.org/10.1007/s11071-017-3923-1.
Padgett, J., R. DesRoches, B. Nielson, M. Yashinsky, O.-S. Kwon, N. Burdette, and E. Tavera. 2008. “Bridge damage and repair costs from Hurricane Katrina.” J. Bridge Eng. 13 (1): 6–14. https://doi.org/10.1061/(ASCE)1084-0702(2008)13:1(6).
Patarapanich, M. 1984. “Forces and moment on a horizontal plate due to wave scattering.” Coastal Eng. 8 (3): 279–301. https://doi.org/10.1016/0378-3839(84)90006-1.
Ramsden, J. D. 1996. “Forces on a vertical wall due to long waves, bores, and dry-bed surges.” J. Waterway, Port, Coastal, Ocean Eng. 122 (3): 134–141. https://doi.org/10.1061/(ASCE)0733-950X(1996)122:3(134).
Ramsden, J. D., and F. Raichlen. 1990. “Forces on vertical wall caused by incident bores.” J. Waterway, Port, Coastal, Ocean Eng. 116 (5): 592–613. https://doi.org/10.1061/(ASCE)0733-950X(1990)116:5(592).
Segur, H. 1973. “The Korteweg–de Vries equation and water waves. Solutions of the equation. Part 1.” J. Fluid Mech. 59 (4): 721–736. https://doi.org/10.1017/S0022112073001813.
Seiffert, B., M. Hayatdavoodi, and R. C. Ertekin. 2014. “Experiments and computations of solitary-wave forces on a coastal-bridge deck. Part I: Flat plate.” Coastal Eng. 88: 194–209. https://doi.org/10.1016/j.coastaleng.2014.01.005.
Siew, P. F., and D. G. Hurley. 1977. “Long surface waves incident on a submerged horizontal plate.” J. Fluid Mech. 83 (1): 141–151. https://doi.org/10.1017/S0022112077001098.
Tsuji, Y., T. Yanuma, I. Murata, and C. Fujiwara. 1991. “Tsunami ascending in rivers as an undular bore.” Nat. Hazard. 4 (2–3): 257–266. https://doi.org/10.1007/BF00162791.
Unjoh, S. 2007. “Bridge damage caused by tsunami.” Bull. Jpn. Assoc. Earthquake Eng. 6 (6): 26–28.
Wang, H. 1970. “Water wave pressure on horizontal plate.” J. Hydraul. Div. 96 (10): 1997–2017. https://doi.org/10.1061/JYCEAJ.0002724.
Webster, W. C., and B. B. Zhao. 2018. “The development of a high-accuracy, broadband, Green–Naghdi model for steep, deep-water ocean waves.” J. Ocean Eng. Mar. Energy 4 (4): 273–291. https://doi.org/10.1007/s40722-018-0122-1.
Wei, Z., and R. A. Dalrymple. 2016. “Numerical study on mitigating tsunami force on bridges by an SPH model.” J. Ocean Eng. Mar. Energy 2 (3): 365–380. https://doi.org/10.1007/s40722-016-0054-6.
Winter, A. O., M. R. Motley, and M. O. Eberhard. 2018. “Tsunami-like wave loading of individual bridge components.” J. Bridge Eng. 23 (2): 04017137. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001177.
Wu, D.-M., and T. Y. Wu. 1982. “Three-dimensional nonlinear long waves due to moving surface pressure.” In Proc., 14th Symp. Naval Hydrodynamics, 103–129. Washington, DC: National Academy Press.
Xiang, T., D. Istrati, S. C. Yim, I. G. Buckle, and P. Lomonaco. 2020. “Tsunami loads on a representative coastal bridge deck: Experimental study and validation of design equations.” J. Waterway, Port, Coastal, Ocean Eng. 146 (5): 04020022. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000560.
Yang, W., W. Lai, Q. Zhu, C. Zhang, and F. Li. 2020. “Study on generation mechanism of vertical force peak values on T-girder attacked by tsunami bore.” Ocean Eng. 196: 106782. https://doi.org/10.1016/j.oceaneng.2019.106782.
Yu, Y., R. W. Sternberg, and R. A. Beach. 1993. “Kinematics of breaking waves and associated suspended sediment in the nearshore zone.” Cont. Shelf Res. 13 (11): 1219–1242. https://doi.org/10.1016/0278-4343(93)90050-8.
Zhao, B. B., W. Y. Duan, R. C. Ertekin, and M. Hayatdavoodi. 2015. “High-level Green–Naghdi wave models for nonlinear wave transformation in three dimensions.” J. Ocean Eng. Mar. Energy 1 (2): 121–132. https://doi.org/10.1007/s40722-014-0009-8.
Zhao, B. B., R. C. Ertekin, W. Y. Duan, and M. Hayatdavoodi. 2014. “On the steady solitary-wave solution of the Green–Naghdi equations of different levels.” Wave Motion 51 (8): 1382–1395. https://doi.org/10.1016/j.wavemoti.2014.08.009.
Zhu, M., I. Elkhetali, and M. H. Scott. 2018. “Validation of OpenSees for tsunami loading on bridge superstructures.” J. Bridge Eng. 23 (4): 04018015. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001221.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 148Issue 2March 2022

History

Received: Jul 29, 2020
Accepted: Sep 22, 2021
Published online: Nov 22, 2021
Published in print: Mar 1, 2022
Discussion open until: Apr 22, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Associate Professor, School of Science and Engineering, Univ. of Dundee, Dundee DD1 4HN, UK; Professor, College of Shipbuilding Engineering, Harbin Engineering Univ., Harbin 150001, China (corresponding author). https://orcid.org/0000-0003-3554-3438. Email: [email protected]
Jiaqi Liu, Ph.D. [email protected]
Postdoctoral Fellow, College of Shipbuilding Engineering, Harbin Engineering Univ., Harbin 150001, China. Email: [email protected]
R. Cengiz Ertekin, Ph.D. [email protected]
Professor, Ocean and Resources Engineering Dept., Univ. of Hawaii at Manoa, Honolulu, HI 96822; Professor, College of Shipbuilding Engineering, Harbin Engineering Univ., Harbin 150001, China. 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

  • Review on tsunami–bridge interaction, Intelligent Transportation Infrastructure, 10.1093/iti/liac021, 1, (2022).

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