Abstract
In the process of coastal bridge construction, cofferdams become necessary facilities to ensure the construction environment is dry and safe. However, during the construction period of coastal bridges, extreme surges and waves caused by typhoons can impose huge hydrodynamic loads on the cofferdam and a potential threat to the safety and integrity of the cofferdam. Therefore, it becomes valuable to assess the hydrodynamic loads of bridge cofferdam under extreme waves. Meanwhile, in the harsh marine environment, waves tend to propagate in multiple directions. However, previous studies mainly focused on the hydrodynamic characteristics of cofferdam by waves that propagate in one direction. Few studies were carried out on the hydrodynamic characteristics of cofferdam under the action of extreme waves in multiple directions. To fill in the gaps in previous research, this study numerically studied the complex wave hydrodynamics of cofferdam under multidirectional extreme waves. Effects of several major factors, i.e., significant wave height, peak wave period, water depth, spreading angle, incident wave angle, and submergence depth were systematically analyzed. It is desired that present research could enhance our understanding of the complex wave hydrodynamics of bridge cofferdam under multidirectional focused waves.
Graphical Abstract Figure
References
1.
Valeur
, J. R.
, 2004
, “Sediment Investigations Connected With the Building of the Øresund Bridge and Tunnel
,” Geografisk Tidsskrift-Danish J. Geogr.
, 104
(2
), pp. 1
–12
. 2.
Yu
, J. Q.
, Huo
, J.
, Shi
, Q.
, Sheng
, G.
, and Zhang
, H.
, 2013
, “An Exploration on the Organizational Structure Design of the Hong Kong-Zhuhai-Macao Bridge Authority
,” Proceedings of the 19th International Conference on Industrial Engineering and Engineering Management
, Shanghai, China
, Oct. 27–29
, Springer Berlin,
Heidelberg
, pp. 975
–985
.3.
Ye
, J.
, 2010
, Construction Technologies of Super-Long Pile Foundation in Hangzhou Bay Bridge
. Proceedings of the Deep Foundations and Geotechnical In Situ Testing
, Shanghai, China
, June 3–5
, pp. 232
–237
.4.
Cho
, S. M.
, Jeon
, B. S.
, Park
, S. I.
, and Yoon
, H. C.
, 2009
, “Geotextile Tube Application as the Cofferdam at the Foreshore with Large Tidal Range for Incheon Bridge Project
,” Geosynthetics in Civil and Environmental Engineering: Geosynthetics Asia 2008 Proceedings of the 4th Asian Regional Conference on Geosynthetics
, Shanghai, China
, June 17–20
, Springer Berlin,
Heidelberg
, pp. 591
–596
.5.
Ti
, Z.
, Wei
, K.
, Qin
, S.
, Mei
, D.
, and Li
, Y.
, 2018
, “Assessment of Random Wave Pressure on the Construction Cofferdam for Sea-Crossing Bridges Under Tropical Cyclone
,” Ocean Eng.
, 160
, pp. 335
–345
. 6.
Padgett
, J.
, DesRoches
, R.
, Nielson
, B.
, Yashinsky
, M.
, Kwon
, O. S.
, Burdette
, N.
, and Tavera
, E.
, 2008
, “Bridge Damage and Repair Costs From Hurricane Katrina
,” J. Bridge Eng.
, 13
(1
), pp. 6
–14
. 7.
Li
, Y.
, Dong
, Y.
, Frangopol
, D. M.
, and Gautam
, D.
, 2020
, “Long-Term Resilience and Loss Assessment of Highway Bridges Under Multiple Natural Hazards
,” Struct. Infrastruct. Eng.
, 16
(4
), pp. 626
–641
. 8.
Seiffert
, B.
, Ertekin
, R. C.
, and Robertson
, I. N.
, 2014
, “Experimental Investigation on the Role of Entrapped Air on Solitary Wave Forces on a Coastal Bridge Deck
,” Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering
, Vol. 45431
, San Francisco, CA
, June 8–13
, American Society of Mechanical Engineers
, p. V04BT02A039.
9.
Seiffert
, B. R.
, Hayatdavoodi
, M.
, and Ertekin
, R. C.
, 2015
, “Experiments and Calculations of Cnoidal Wave Loads on a Coastal-Bridge Deck With Girders
,” Eur. J. Mech.-B/Fluids
, 52
, pp. 191
–205
. 10.
Hayatdavoodi
, M.
, and Cengiz Ertekin
, R.
, 2015
, “Nonlinear Wave Loads on a Submerged Deck by the Green–Naghdi Equations
,” ASME J. Offshore Mech. Arct. Eng.
, 137
(1
), p. 011102
. 11.
Jin
, J.
, and Meng
, B.
, 2011
, “Computation of Wave Loads on the Superstructures of Coastal Highway Bridges
,” Ocean Eng.
, 38
(17–18
), pp. 2185
–2200
. 12.
Zhao
, E.
, Sun
, J.
, Tang
, Y.
, Mu
, L.
, and Jiang
, H.
, 2020
, “Numerical Investigation of Tsunami Wave Impacts on Different Coastal Bridge Decks Using Immersed Boundary Method
,” Ocean Eng.
, 201
, p. 107132
. 13.
Qu
, K.
, Ren
, X. Y.
, and Kraatz
, S.
, 2017
, “Numerical Investigation of Tsunami-Like Wave Hydrodynamic Characteristics and its Comparison With Solitary Wave
,” Appl. Ocean Res.
, 63
, pp. 36
–48
. 14.
Xu
, G.
, Chen
, Q.
, and Chen
, J.
, 2018
, “Prediction of Solitary Wave Forces on Coastal Bridge Decks Using Artificial Neural Networks
,” J. Bridge Eng.
, 23
(5
), p. 04018023
. 15.
Huang
, W.
, and Xiao
, H.
, 2009
, “Numerical Modeling of Dynamic Wave Force Acting on Escambia Bay Bridge Deck During Hurricane Ivan. Journal of Waterway, Port
,” Coastal Ocean Eng.
, 135
(4
), pp. 164
–175
.16.
Xiao
, H.
, Huang
, W.
, and Chen
, Q.
, 2010
, “Effects of Submersion Depth on Wave Uplift Force Acting on Biloxi Bay Bridge Decks During Hurricane Katrina
,” Comput. Fluids
, 39
(8
), pp. 1390
–1400
. 17.
Xu
, G.
, and Cai
, C. S.
, 2017
, “Numerical Investigation of the Lateral Restraining Stiffness Effect on the Bridge Deck-Wave Interaction Under Stokes Waves
,” Eng. Struct.
, 130
, pp. 112
–123
. 18.
Hayatdavoodi
, M.
, Ertekin
, R. C.
, and Valentine
, B. D.
, 2017
, “Solitary and Cnoidal Wave Scattering by a Submerged Horizontal Plate in Shallow Water
,” AIP Adv.
, 7
(6
), p. 065212
. 19.
Fang
, Q.
, Hong
, R.
, Guo
, A.
, and Li
, H.
, 2019
, “Experimental Investigation of Wave Forces on Coastal Bridge Decks Subjected to Oblique Wave Attack
,” J. Bridge Eng.
, 24
(4
), p. 04019011
. 20.
Fang
, Q.
, Jia
, J.
, Guo
, T.
, Wang
, Z.
, and Liu
, C.
, 2023
, “Wave Forces Acting on the Coastal Bridge Deck Under Focused and Regular Waves
,” Ocean Eng.
, 276
, 114239
. 21.
Douglass
, S. L.
, Chen
, Q.
, Olsen
, J. M.
, Edge
, B. L.
, and Brown
, D.
, 2006
, Wave Forces on Bridge Decks
, Coastal Transportation Engineering Research and Education Center, University of South Alabama
, Mobile, AL
.22.
Cuomo
, G.
, Shimosako
, K. I.
, and Takahashi
, S.
, 2009
, “Wave-in-Deck Loads on Coastal Bridges and the Role of Air
,” Coastal Eng.
, 56
(8
), pp. 793
–809
. 23.
Bradner
, C.
, Schumacher
, T.
, Cox
, D.
, and Higgins
, C.
, 2011
, “Experimental Setup for a Large-Scale Bridge Superstructure Model Subjected to Waves
,” J. Waterw., Port, Coast. Ocean Eng.
, 137
(1
), pp. 3
–11
.24.
Hayatdavoodi
, M.
, Seiffert
, B.
, and Ertekin
, R. C.
, 2014
, “Experiments and Computations of Solitary-Wave Forces on a Coastal-Bridge Deck. Part II: Deck With Girders
,” Coastal Eng.
, 88
, pp. 210
–228
. 25.
Seiffert
, B.
, Hayatdavoodi
, M.
, and Ertekin
, R. C.
, 2014
, “Experiments and Computations of Solitary-Wave Forces on a Coastal-Bridge Deck. Part I: Flat Plate
,” Coastal Eng.
, 88
, pp. 194
–209
. 26.
Xu
, G.
, and Cai
, C. S.
, 2015
, “Wave Forces on Biloxi Bay Bridge Decks With Inclinations Under Solitary Waves
,” J. Perform. Constr. Facil.
, 29
(6
), p. 04014150
. 27.
Moideen
, R.
, and Behera
, M. R.
, 2021
, “Numerical Investigation of Extreme Wave Impact on Coastal Bridge Deck Using Focused Waves
,” Ocean Eng.
, 234
, p. 109227
. 28.
Qu
, K.
, Sun
, W. Y.
, Ren
, X. Y.
, Kraatz
, S.
, and Jiang
, C. B.
, 2021
, “Numerical Investigation on the Hydrodynamic Characteristics of Coastal Bridge Decks Under the Impact of Extreme Waves
,” J. Coastal Res.
, 37
(2
), pp. 442
–455
.29.
Qu
, K.
, Sun
, W. Y.
, Tang
, H. S.
, Jiang
, C. B.
, Deng
, B.
, and Chen
, J.
, 2019
, “Numerical Study on Hydrodynamic Load of Real-World Tsunami Wave at Highway Bridge Deck Using a Coupled Modeling System
,” Ocean Eng.
, 192
, p. 106486
. 30.
Qu
, K.
, Tang
, H. S.
, Agrawal
, A.
, and Cai
, Y.
, 2017
, “Hydrodynamic Effects of Solitary Waves Impinging on a Bridge Deck with air Vents
,” J. Bridge Eng.
, 22
(7
), p. 04017024
. 31.
Xu
, G.
, Cai
, C. S.
, and Chen
, Q.
, 2016
, “Countermeasure of Air Venting Holes in the Bridge Deck–Wave Interaction Under Solitary Waves
,” J. Perform. Constr. Facil.
, 31
(1
), p. 04016071
. 32.
Wei
, Z.
, and Dalrymple
, R. A.
, 2016
, “Numerical Study on Mitigating Tsunami Force on Bridges by an SPH Model
,” J. Ocean Eng. Marine Energy
, 2
(3
), pp. 365
–380
. 33.
Sun
, W. Y.
, Qu
, K.
, Kraatz
, S.
, Deng
, B.
, and Jiang
, C. B.
, 2020
, “Numerical Investigation on Performance of Submerged Porous Breakwater to Mitigate Hydrodynamic Loads of Coastal Bridge Deck Under Solitary Wave
,” Ocean Eng.
, 213
, p. 107660
. 34.
Qu
, K.
, Sun
, W. Y.
, Kraatz
, S.
, Deng
, B.
, and Jiang
, C. B.
, 2020
, “Effects of Floating Breakwater on Hydrodynamic Load of Low-Lying Bridge Deck Under Impact of Cnoidal Wave
,” Ocean Eng.
, 203
, p. 107217
. 35.
Qu
, K.
, Wen
, B. H.
, Ren
, X. Y.
, Kraatz
, S.
, Sun
, W. Y.
, Deng
, B.
, and Jiang
, C. B.
, 2020
, “Numerical Investigation on Hydrodynamic Load of Coastal Bridge Deck Under Joint Action of Solitary Wave and Wind
,” Ocean Eng.
, 217
, p. 108037
. 36.
Wen
, B. H.
, Qu
, K.
, Lan
, G. Y.
, Sun
, W. Y.
, Yao
, Y.
, Deng
, B.
, and Jiang
, C. B.
, 2022
, “Numerical Study on Hydrodynamic Characteristics of Coastal Bridge Deck Under Joint Action of Regular Waves and Wind
,” Ocean Eng.
, 245
, p. 110450
. 37.
Qu
, K.
, Tang
, H. S.
, Agrawal
, A.
, Cai
, Y.
, and Jiang
, C. B.
, 2018
, “Numerical Investigation of Hydrodynamic Load on Bridge Deck Under Joint Action of Solitary Wave and Current
,” Appl. Ocean Res.
, 75
, pp. 100
–116
. 38.
Qu
, K.
, Wen
, B. H.
, Yao
, Y.
, Sun
, W. Y.
, and Jiang
, C. B.
, 2022
, “Numerical Study on Hydrodynamic Characteristics of Movable Coastal Bridge Deck Under Joint Action of Solitary Wave and Current
,” Ocean Eng.
, 262
, p. 112143
. 39.
Liu
, S. X.
, Li
, Y. C.
, and Li
, G. W.
, 2007
, “Wave Current Forces on the Pile Group of Base Foundation for the East Sea Bridge, China
,” J. Hydrodyn.
, 19
(6
), pp. 661
–670
. 40.
Li
, Y. C.
, Wang
, F. L.
, and Wang
, H. R.
, 1992
, “Wave-Current Forces on Vertical Piles in Side by Side Arrangement
,” Proceedings of the Second International Offshore and Polar Engineering Conference
, San Francisco, CA
, June 14–19
, OnePetro
.41.
Wang
, Z.
, and Qiu
, W.
, 2021
, “Characteristics of Wave Forces on Pile Group Foundations for Sea-Crossing Bridges
,” Ocean Eng.
, 235
, p. 109299
. 42.
Wang
, Z.
, and Qiu
, W.
, 2022
, “Mechanical Model for Predicting Wave Loads on Complex Pile Group Foundations Under Linear Wave Action
,” Eng. Anal. Boundary Elem.
, 145
, pp. 321
–334
. 43.
Xu
, B.
, Wei
, K.
, Qin
, S.
, and Hong
, J.
, 2020
, “Experimental Study of Wave Loads on Elevated Pile Cap of Pile Group Foundation for Sea-Crossing Bridges
,” Ocean Eng.
, 197
, p. 106896
. 44.
Qu
, J.
, Xue
, L.
, Wang
, B.
, and Ni
, X.
, 2017
, “Unified Empirical Relations for Total Inline Wave Forces on Pile-Supported Structures in Regular and Irregular Waves
,” Ocean Eng.
, 145
, pp. 200
–206
. 45.
Ji
, X.
, Liu
, S.
, Bingham
, H. B.
, and Li
, J.
, 2015
, “Multi-Directional Random Wave Interaction With an Array of Cylinders
,” Ocean Eng.
, 110
, pp. 62
–77
. 46.
Ji
, X.
, Liu
, S.
, Li
, J.
, and Jia
, W.
, 2015
, “Experimental Investigation of the Interaction of Multidirectional Irregular Waves With a Large Cylinder
,” Ocean Eng.
, 93
, pp. 64
–73
. 47.
Wang
, Z.
, Qiu
, W.
, and Jiang
, M.
, 2023
, “Random Wave Action on Pile Group Foundations With Complex Geometry for Sea-Crossing Bridges
,” Ocean Eng.
, 269
, p. 113525
. 48.
Zhang
, H.
, Liu
, S.
, and Li
, J.
, 2023
, “Multi-Directional Irregular Wave Forces Acting on a Tandem Pile Group
,” Appl. Ocean Res.
, 135
, p. 103542
. 49.
Wei
, K.
, Liu
, Q.
, and Qin
, S.
, 2020
, “Nonlinear Assessment of Offshore Steel Trestle Subjected to Wave and Current Loads
,” Ships Offshore Struct.
, 15
(5
), pp. 479
–491
. 50.
Bonakdar
, L.
, and Oumeraci
, H.
, 2015
, “Pile Group Effect on the Wave Loading of a Slender Pile: A Small-Scale Model Study
,” Ocean Eng.
, 108
, pp. 449
–461
. 51.
Bonakdar
, L.
, Oumeraci
, H.
, and Etemad-Shahidi
, A.
, 2015
, “Wave Load Formulae for Prediction of Wave-Induced Forces on a Slender Pile Within Pile Groups
,” Coastal Eng.
, 102
, pp. 49
–68
. 52.
Guo
, X.
, Wang
, B.
, Mei
, C. C.
, and Liu
, H.
, 2017
, “Scattering of Periodic Surface Waves by Pile-Group Supported Platform
,” Ocean Eng.
, 146
, pp. 46
–58
. 53.
Zhang
, H.
, Liu
, S.
, Li
, J.
, Zhang
, R.
, and Hao
, J.
, 2019
, “Interactions Between Multi-Directional Irregular Waves and a Pile Group in a Side-by-Side Arrangement: Statistical Analysis
,” Coastal Eng.
, 147
, pp. 115
–134
. 54.
Noh
, J.
, Lee
, S.
, Kim
, J. S.
, and Molinas
, A.
, 2012
, “Numerical Modeling of Flow and Scouring Around a Cofferdam
,” J. Hydro-Environ. Res.
, 6
(4
), pp. 299
–309
. 55.
Kang
, A.
, Zhu
, B.
, Lin
, P.
, Ju
, J.
, Zhang
, J.
, and Zhang
, D.
, 2020
, “Experimental and Numerical Study of Wave-Current Interactions with a Dumbbell-Shaped Bridge Cofferdam
,” Ocean Eng.
, 210
, p. 107433
. 56.
Qin
, C.
, Duan
, L.
, Wang
, D.
, Duan
, B.
, Fan
, M.
, and Wang
, H.
, 2023
, “Three-Dimensional Numerical Simulation of Wave-Induced Seabed Response Around a Dumbbell-Shaped Cofferdam
,” Appl. Ocean Res.
, 134
, p. 103501
. 57.
Bihs
, H.
, Kamath
, A.
, Chella
, M. A.
, Aggarwal
, A.
, and Arntsen
, ØA
, 2016
, “A New Level Set Numerical Wave Tank With Improved Density Interpolation for Complex Wave Hydrodynamics
,” Comput. Fluids
, 140
, pp. 191
–208
. 58.
Wilcox
, D. C.
, 1998
, Turbulence Modeling for CFD
, Vol. 2
, ed., DCW industries
, La Canada, CA
, 103
–217
.59.
Durbin
, P. A.
, 2009
, “Limiters and Wall Treatments in Applied Turbulence Modeling
,” Fluid Dyn. Res.
, 41
(1
), p. 012203
. 60.
Osher
, S.
, and Sethian
, J. A.
, 1988
, “Fronts Propagating With Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations
,” J. Comput. Phys.
, 79
(1
), pp. 12
–49
. 61.
Peng
, D.
, Merriman
, B.
, Osher
, S.
, Zhao
, H.
, and Kang
, M.
, 1999
, “A PDE-Based Fast Local Level Set Method
,” J. Comput. Phys.
, 155
(2
), pp. 410
–438
. 62.
Chorin
, A. J.
, 1968
, “Numerical Solution of the Navier-Stokes Equations
,” Math. Comput.
, 22
(104
), pp. 745
–762
. 63.
Van der Vorst
, H. A.
, 1992
, “Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
,” SIAM J. Sci. Stat. Comput.
, 13
(2
), pp. 631
–644
. 64.
Jiang
, G. S.
, and Shu
, C. W.
, 1996
, “Efficient Implementation of Weighted ENO Schemes
,” J. Comput. Phys.
, 126
(1
), pp. 202
–228
. 65.
Jiang
, G. S.
, and Peng
, D.
, 2000
, “Weighted ENO Schemes for Hamilton–Jacobi Equations
,” SIAM J, Sci. Comput.
, 21
(6
), pp. 2126
–2143
. 66.
Shu
, C. W.
, and Osher
, S.
, 1988
, “Efficient Implementation of Essentially Non-Oscillatory Shock-Capturing Schemes
,” J. Comput. Phys.
, 77
(2
), pp. 439
–471
. 67.
Berthelsen
, P. A.
, and Faltinsen
, O. M.
, 2008
, “A Local Directional Ghost Cell Approach for Incompressible Viscous Flow Problems With Irregular Boundaries
,” J. Comput. Phys.
, 227
(9
), pp. 4354
–4397
. 68.
Judge
, F. M.
, Hunt-Raby
, A. C.
, Orszaghova
, J.
, Taylor
, P. H.
, and Borthwick
, A. G.
, 2019
, “Multi-Directional Focused Wave Group Interactions With a Plane Beach
,” Coastal Eng.
, 152
, p. 103531
. 69.
Kang
, A.
, Zhu
, B.
, Han
, J.
, Zhang
, J.
, and Yang
, Z.
, 2019
, “Experimental Study of Focused Wave Actions on Dumbbell-Shaped Sea-Crossing Bridge Cofferdam
,” Tumu Gongcheng Xuebao
, 52
(10
), pp. 93
–100
.70.
Hunt
, A.
, 2003
, “Extreme Waves, Overtopping and Flooding at Sea Defences
,” DPhil thesis
, University of Oxford
.
