Progress in the Research of Wave Slamming Forces on Vertical Cylinders

Abstract

Wave slamming is an important phenomenon due to its destructive power, and with the rapid development of offshore wind turbines, wave slamming on vertical cylinders has garnered lots of attention. However, the phenomenon of wave slamming on vertical cylinders is very complicated due to both the intrinsic complexity of breaking waves and that of slamming forces. The objective of this paper is to provide a general review of research related to this problem, including theoretical methods, experimental studies, numerical simulations, and full-scale measurements. Based on these approaches, the momentum theory/pressure impulse theory, spatial distribution characteristics of impacts to various breaking waves, wave generation methods, analysis methods for measured forces under structure response, scale effects in experiments, and in-situ measurements have been introduced and discussed. Results show that simplifications in existing models for wave impacting such as wave characteristics and structural response reduce its applicability and should be studied further both in theoretical, experimental and numerical researches.

Keywords

Breaking waves / Slamming forces / Wave-structure interaction / Vertical slender cylinders / Offshore wind power

References

[1] ABS (2020) Guide for building and classing: Bottom-founded offshore wind turbines. American Bureau of Shipping, 76–77

[2] Antonini A, William Brownjohn JM, Dassanayake D, Raby A, Bassit J, Pappas A, D’Ayala D. A Bayesian inverse dynamic approach for impulsive wave loading reconstruction: Theory, laboratory and field application. Coastal Engineering, 2021, 168: 103920

[3] Apelt CJ, Piorewicz J. Laboratory studies of breaking wave forces acting on vertical cylinders in shallow water. Coastal Engineering, 1987, 11(3): 263-282

[4] Arntsen OA, Collados XR, Torum A (2011) Impact forces on a vertical pile from plunging breaking waves. 6th International Conference on Coastal Structures, Yokohama, Japan, 553–544.

[5] Bagnold RA. Interim report on wave-pressure research. Journal of the Institution of Civil Engineers, 1939, 12(7): 202-226

[6] Bi Y, Lu D, Zeng Z, Lian L. Dynamics and control of hybrid aerial underwater vehicle subject to disturbances. Ocean Engineering, 2022, 250: 110933

[7] Bihs H, Kamath A, Chella MA, Arntsen ØA. Breaking-wave interaction with tandem cylinders under different impact scenarios. Journal of Waterway Port Coastal and Ocean Engineering, 2016, 142(5): 04016005

[8] Birkinshaw M, Easson WJ, Greated CA, Webb RM. Breaking wave design: A case history. Proceedings of the Institution of Civil Engineers, 1988, 85(3): 415-433

[9] Bitner-Gregersen EM, Gramstad O. Rogue waves: Impact on ships and offshore structures, 2015, Høvik, Norway: DNV·GL, 6-8

[10] Blackmore PA, Hewson PJ. Experiments on full-scale wave impact pressures. Coastal Engineering, 1984, 8(4): 331-346

[11] Bogaert H. An experimental investigation of sloshing impact physics in membrane LNG tanks of floating structures, 2018, Delft: Delft University of Technology

[12] Bredmose H, Bullock GN, Hogg AJ. Violent breaking wave impacts. Part 3. Effects of scale and aeration. Journal of Fluid Mechanics, 2015, 765: 82-113

[13] Bredmose H, Jacobsen NG (2010) Breaking wave impacts on offshore wind turbine foundations: Focused wave groups and CFD. 29th International Conference on Ocean, Offshore and Arctic Engineering, Shanghai, 397–404

[14] Bullock GN, Obhrai C, Peregrine DH, Bredmose H. Violent breaking wave impacts. Part 1: Results from large-scale regular wave tests on vertical and sloping walls. Coastal Engineering, 2007, 54(8): 602-617

[15] Buscombe D, Carini RJ, Harrison SR, Chickadel CC, Warrick JA. Optical wave gauging using deep neural networks. Coastal Engineering, 2020, 155: 103593

[16] Camp TR, Morris MJ, Van Rooij R, Van der Tempel J, Zaaijer MB, Henderson A, Argyriadis K, Schwartz S, Just H, Grainger W, Pearce D. Design methods for offshore wind turbines at exposed sites, 2003, Bristol: Garrad Hassan and Partners, 1

[17] Campbell IMC, Weynberg PA. Measurement of parameters affecting slamming, 1980, Southampton: Wolfson Unit for Marine Technology, 1-26

[18] Chan ES, Cheong HF, Tan BC. Laboratory study of plunging wave impacts on vertical cylinders. Coastal Engineering, 1995, 25: 87-107

[19] Chaplin JR, Greated CA, Flintham TP, Skyner DJ. Breaking wave forces on a vertical cylinder, 1992, London: Health and Safety Executive, 1-38

[20] Chaplin JR, Rainey RCT, Yemm RW. Ringing of a vertical cylinder in waves. Journal of Fluid Mechanics, 1997, 350: 119-147

[21] Chella MA, Tørum A, Myrhaug D. An overview of wave impact forces on offshore wind turbine substructures. Energy Procedia, 2012, 20: 217-226

[22] Chella MA, Bihs H, Myrhaug D. Wave impact pressure and kinematics due to breaking wave impingement on a monopile. Journal of Fluids and Structures, 2019, 86: 94-123

[23] Chella MA, Bihs H, Myrhaug D, Muskulus M. Breaking solitary waves and breaking wave forces on a vertically mounted slender cylinder over an impermeable sloping seabed. Journal of Ocean Engineering and Marine Energy, 2017, 3(1): 1-19

[24] Chen X, Hofland B, Molenaar W, Capel A, Van Gent MRA. Use of impulses to determine the reaction force of a hydraulic structure with an overhang due to wave impact. Coastal Engineering, 2019, 147: 75-88

[25] Chen X, Wu Y, Cui W, Jensen JJ. Review of hydroelasticity theories for global response of marine structures. Ocean Engineering, 2006, 33(3): 439-457

[26] Choi SJ, Lee KH, Gudmestad OT. The effect of dynamic amplification due to a structure’s vibration on breaking wave impact. Ocean Engineering, 2015, 96: 8-20

[27] Chow AD, Rogers BD, Lind SJ, Stansby PK. Numerical wave basin using incompressible smoothed particle hydrodynamics (ISPH) on a single GPU with vertical cylinder test cases. Computers & Fluids, 2019, 179: 543-562

[28] Cointe R, Armand JL. Hydrodynamic impact analysis of a cylinder. Journal of Offshore Mechanics and Arctic Engineering, 1987, 109(3): 237-243

[29] Cooker MJ. A theory for the impact of a wave breaking onto a permeable barrier with jet generation. Journal of Engineering Mathematics, 2013, 79(1): 1-12

[30] Cooker MJ, Peregrine DH. Pressure-impulse theory for liquid impact problems. Journal of Fluid Mechanics, 1995, 297: 193-214

[31] Cui T, Kamath A, Wang W, Yuan L, Han D, Bihs H. Focused plunging breaking waves impact on pile group in finite water depth. Journal of Offshore Mechanics and Arctic Engineering, 2022, 144(3): 031202

[32] d’Amico D, Larroque B, Luthon F, Poncet PA, Abadie S. Continuous measurement and automatic processing of in-situ wave impact pressure data. Journal of Coastal Research, 2020, 95: 214-219

[33] Dassanayake DT, Antonini A, Pappas A, Raby A, Brownjohn JMW, D’Ayala D. Influence of the spatial pressure distribution of breaking wave loading on the dynamic response of Wolf Rock Lighthouse. Journal of Marine Science and Engineering, 2021, 9: 55

[34] Dassanayake DT, Antonini A, Raby A (2019) Efficacy of analysis techniques in assessing broken wave loading on a cylinder upon a shoal. 38th International Conference on Ocean, Offshore and Arctic Engineering, Glasgow, 1–10

[35] de Ridder EJ, Aalberts P, van den Berg J, Buchner B, Peeringa J (2011) The dynamic response of an offshore wind turbine with realistic flexibility to breaking wave impact. 30th International Conference on Ocean, Offshore and Arctic Engineering, Rotterdam, 543–552

[36] Deborah JW, Peregrine DH (1998) Two and three-dimensional pressure-impulse models of wave impact on structures. 26th International Conference on Coastal Engineering, Copenhagen, 1502–1515

[37] den Bieman JP, de Ridder MP, van Gent MRA. Deep learning video analysis as measurement technique in physical models. Coastal Engineering, 2020, 158: 103689

[38] Deng Y, Yang J, Tian X, Li X. Experimental investigation on rogue waves and their impacts on a vertical cylinder using the Peregrine breather model. Ships and Offshore Structures, 2016, 11(7): 757-765

[39] DNV·GL Environmental conditions and environmental Loads, 2019, Lloyd: Det Norske Veritas and Germanischer, 171-172

[40] Drazen D, Terrill E, Walker D, Hazard J, Cook T, Scott S (2012) Full-scale measurements of wave impact loading on a flat plate. 31st International Conference on Ocean, Offshore and Arctic Engineering, Rio de Janeiro, 449–458

[41] Ducrozet G, Bonnefoy F, Mori N, Fink M, Chabchoub A. Experimental reconstruction of extreme sea waves by time reversal principle. Journal of Fluid Mechanics, 2020, 884(A20): 1-26

[42] Faltinsen OM. Hydroelastic slamming. Journal of Marine Science and Technology, 2000, 5(2): 49-65

[43] Faltinsen OM. Hydrodynamics of high-speed marine vehicles, 2005, New York: Cambridge University Press

[44] Faltinsen OM, Timokha AN. Sloshing, 2009, New York: Cambridge University Press

[45] Fernández H, Sriram V, Schimmels S, Oumeraci H. Extreme wave generation using self correcting method—Revisited. Coastal Engineering, 2014, 93: 15-31

[46] Fink M. Time reversal of ultrasonic fields-Part I Basic principles. IEEE Transactions on Ultrasonics Ferroelectrics & Frequency Control, 1992, 39(5): 555-566

[47] Ghadirian A, Bredmose H. Pressure impulse theory for a slamming wave on a vertical circular cylinder. Journal of Fluid Mechanics, 2019, 867: R1

[48] Ghadirian A, Pierella F, Bredmose H. Calculation of slamming wave loads on monopiles using fully nonlinear kinematics and a pressure impulse model. Coastal Engineering, 2023, 179: 104219

[49] Goda Y, Haranaka S, Kitahata M. Study of impulsive breaking wave forces on piles, 1966, Japan: Port and Harbour Technical Research Institute, Ministry of Transport, 1-30

[50] Grue J, Huseby M. Higher-harmonic wave forces and ringing of vertical cylinders. Applied Ocean Research, 2002, 24(4): 203-214

[51] Guilcher PM, Jus Y, Brosset L. 2D simulations of breaking wave impacts on a flat rigid wall — Part 2: Influence of scale. International Journal of Offshore and Polar Engineering, 2020, 30(3): 286-298 286

[52] Ha YJ, Kim KH, Nam BW, Hong SY. Experimental investigation for characteristics of wave impact loads on a vertical cylinder in breaking waves. Ocean Engineering, 2020, 209: 107470

[53] Hallowell S, Myers AT, Arwade SR. Variability of breaking wave characteristics and impact loads on offshore wind turbines supported by monopiles. Wind Energy, 2016, 19(2): 301-312

[54] Hildebrandt A. Hydrodynamics of breaking waves on offshore wind turbine structures, 2013, Hannover: Gottfried Wilhelm Leibniz Universität

[55] Hoonhout BM, Radermacher M, Baart F, van der Maaten LJP. An automated method for semantic classification of regions in coastal images. Coastal Engineering, 2015, 105: 1-12

[56] Hughes SA. Physical models and laboratory techniques in coastal engineering, 1993, London: World Scientific

[57] IEC (2019) Design requirements for offshore wind turbines. International Electrotechnical Commission, 96–114

[58] Irschik K, Oumeraci H (2006) Effect of breaker types on breaking wave loads on a slender vertical and inclined pile. 30th International Conference on Coastal Engineering, San Diego, 4520–4531

[59] Irschik K, Sparboom U, Oumeraci H (2002) Breaking wave characteristics for the loading of a slender pile. 28th International Conference on Coastal Engineering, Cardiff, Wales, 1341–1352

[60] Jose J, Podrażka O, Gudmestad OT, Cieślikiewicz W (2017) Characteristics of the wave slamming forces on jacket structures under plunging breaking waves based on experimental data. 36th International Conference on Ocean, Offshore and Arctic Engineering, Trondheim, 1–11

[61] Kamath A, Chella MA, Bihs H, Arntsen ØA. Breaking wave interaction with a vertical cylinder and the effect of breaker location. Ocean Engineering, 2016, 128: 105-115

[62] Kapsenberg GK. Slamming of ships: Where are we now? Philosophical Transactions of the Royal Society A, 2011, 369(1947): 2892-2919

[63] Kimmoun O, Ratouis A, Brosset L (2010) Sloshing and scaling: experimental study in a wave canal at two different scales. 20th International Offshore and Polar Engineering Conference, Beijing, ISOPE-I-10-185

[64] Lafeber W, Brosset L, Bogaert H (2012) Comparison of wave impact tests at large and full scale: Results from the Sloshel project. 22ed International Offshore and Polar Engineering Conference, Rhodes, ISOPE-I-12-374

[65] Larroque B, Arnould P, Luthon F, Poncet PA, Rahali A, Abadie S. In-situ measurements of wave impact pressure on a composite breakwater: preliminary results. Journal of Coastal Research, 2018, 85(10085): 1086-1090

[66] Lind SJ, Stansby PK, Rogers BD. Fixed and moored bodies in steep and breaking waves using SPH with the Froude — Krylov approximation. Journal of Ocean Engineering and Marine Energy, 2016, 2(3): 331-354 331

[67] Lobovský L, Botia-Vera E, Castellana F, Mas-Soler J, Souto-Iglesias A. Experimental investigation of dynamic pressure loads during dam break. Journal of Fluids and Structures, 2014, 48: 407-434

[68] Lugni C, Brocchini M, Faltinsen OM. Wave impact loads: The role of the flip-through. Physics of Fluids, 2006, 18(12): 122101

[69] Ma Y, Tai B, Dong G, Fu R, Perlin M. An experiment on reconstruction and analyses of in-situ measured freak waves. Ocean Engineering, 2022, 244: 110312

[70] Ma Y, Tai B, Dong G, Perlin M. Experimental study of plunging solitary waves impacting a vertical slender cylinder. Ocean Engineering, 2020, 202: 107191

[71] Manjula R, Sannasiraj SA. Response of a slender cylindrical member under breaking wave impact. Journal of Hydrodynamics, 2019, 31(2): 345-357

[72] Marino E, Borri C, Peil U. A fully nonlinear wave model to account for breaking wave impact loads on offshore wind turbines. Journal of Wind Engineering and Industrial Aerodynamics, 2011, 99(4): 483-490

[73] Marrone S, Antuono M, Colagrossi A, Colicchio G, Le Touzé D, Graziani G. δ -SPH model for simulating violent impact flows. Computer Methods in Applied Mechanics and Engineering, 2011, 200(13–16): 1526-1542

[74] McAllister ML, Draycott S, Adcock TAA, Taylor PH, van den Bremer TS. Laboratory recreation of the Draupner wave and the role of breaking in crossing seas. Journal of Fluid Mechanics, 2019, 860: 767-786

[75] Meng Z, Ming F, Wang P, Zhang A. Numerical simulation of water entry problems considering air effect using a multiphase Riemann-SPH model. Advances in Aerodynamics, 2021, 3: 13

[76] Mo W, Jensen A, Liu PLF. Plunging solitary wave and its interaction with a slender cylinder on a sloping beach. Ocean Engineering, 2013, 74: 48-60

[77] Morison JR, O’Brien MP, Johnson JW, Schaaf SA. The forces exerted by surface wave on piles. Journal of Petroleum Technology, 1950, 2(5): 149-154

[78] Niu X, Ma X, Ma Y, Dong G. Controlled extreme wave generation using an improved focusing method. Applied Ocean Research, 2020, 95: 102017

[79] Paulsen BT, de Sonneville B, van der Meulen M, Jacobsen NG. Probability of wave slamming and the magnitude of slamming loads on offshore wind turbine foundations. Coastal Engineering, 2019, 143: 76-95

[80] Peregrine DH. Water-wave impact on walls. Annual Review of Fluid Mechanics, 2003, 35(1): 23-43

[81] Pinna R, Cassidy M (2004) Dynamic analysis of a monopod platform using constrained new wave. 23rd International Conference on Offshore Mechanics and Arctic Engineering, Vancouver, 141–148

[82] Poncet PA, Liquet B, Larroque B, D’Amico D, Sous D, Abadie S. In-situ measurements of energetic depth-limited wave loading. Applied Ocean Research, 2022, 125: 103216

[83] Qu S, Liu S, Ong MC. An evaluation of different RANS turbulence models for simulating breaking waves past a vertical cylinder. Ocean Engineering, 2021, 234: 109195

[84] Qu S, Ren H, Liu S, Sun S, Ong MC. Numerical investigation of breaking wave loads on the downstream inclined cylinder under shelter effect from the upstream vertical cylinder. Ships and Offshore Structures, 2021, 17(8): 1706-1716

[85] Rapp RJ, Melville WK. Laboratory measurements of deep-water breaking waves. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1990, 331(1622): 735-800

[86] Renzi E, Wei Y, Dias F. The pressure impulse of wave slamming on an oscillating wave energy converter. Journal of Fluids and Structures, 2018, 82: 258-271

[87] Sarpkaya T. Wave impact loads on cylinders. Society of Petroleum Engineers Journal, 1979, 19(1): 29-36

[88] Sawaragi T, Nochino M. Impact forces of nearly breaking waves on a vertical circular cylinder. Coastal Engineering in Japan, 1984, 27(1): 249-263

[89] Scharnke J (2019) Elementary loading processes and scale effects involved in wave-in-deck type of loading: A summary of the BreaKin JIP. 38th International Conference on Ocean, Offshore and Arctic Engineering, Glasgow, 1–11

[90] Scolan YM, Korobkin AA. Three-dimensional theory of water impact. Part 1. Inverse Wagner problem. Journal of Fluid Mechanics, 2001, 440: 293-326

[91] Stringari CE, Harris DL, Power HE. A novel machine learning algorithm for tracking remotely sensed waves in the surf zone. Coastal Engineering, 2019, 147: 149-158

[92] Suastika IK, de Jong MPC, Battjes JA (2000) Experimental study of wave blocking. 27th International Conference on Coastal Engineering, Sydney, 223–240

[93] Sun PN, Luo M, Le Touzé D, Zhang AM. The suction effect during freak wave slamming on a fixed platform deck: Smoothed particle hydrodynamics simulation and experimental study. Physics of Fluids, 2019, 31(11): 117108

[94] Tai B, Ma Y, Niu X, Dong G, Perlin M. Experimental investigation of impact forces induced by plunging breakers on a vertical cylinder. Ocean Engineering, 2019, 189: 106362

[95] Taylor PH, Jonathan P, Harland LA. Time domain simulation of Jack-up dynamics with the extremes of a Gaussian process. Journal of Vibration and Acoustics, 1997, 119(4): 624-628

[96] Ting FCK, Kirby JT. Dynamics of surf-zone turbulence in a strong plunging breaker. Coastal Engineering, 1995, 24(3): 177-204

[97] Tsaousis TD, Papadopoulos PK, Chatjigeorgiou IK. A semi-analytical solution for the three-dimensional Wagner steep wave impact on a vertical circular cylinder. Applied Mathematical Modelling, 2020, 77: 902-921

[98] Tu Y. Wave slamming forces on offshore wind turbine jacket substructures, 2018, Trondheim: Norwegian University of Science and Technology

[99] Tu Y, Cheng Z, Muskulus M. A review of slamming load application to offshore wind turbines from an integrated perspective. Energy Procedia, 2017, 137: 346-357

[100] Tu Y, Cheng Z, Muskulus M. Global slamming forces on jacket structures for offshore wind applications. Marine Structures, 2018, 58: 53-72

[101] Veić D, Sulisz W, Soman R. Effect of breaking wave shape on impact load on a monopile structure. Brodogradnja, 2019, 70(3): 25-42

[102] Viste-Ollestad I, Andersen TL, Oma N, Zachariassen S (2016) Investigation of an incident with fatal consequences on COSLInnovator. Norway’s Petroleum Safety Authority, Investigation report, 1–47

[103] von Kármán T. The impact on seaplane floats during landing, 1929, Washington: National Advisory Committee for Aeronautics, 1-8

[104] Wagner H. Uber Stoi3- und Gleitvorgange an der Oberflache von Fluss’igkeiten (in German). Journal of Applied Mathematics and Mechanics, 1932, 12(4): 193-215

[105] Wei K, Hong J, Jiang M, Zhao W. A review of breaking wave force on the bridge pier: Experiment, simulation, calculation, and structural response. Journal of Traffic and Transportation Engineering (English Edition), 2022, 9(3): 407-421

[106] Wienke J, Oumeraci H. Breaking wave impact force on a vertical and inclined slender pile—theoretical and large-scale model investigations. Coastal Engineering, 2005, 52(5): 435-462

[107] Wienke J, Sparboom U, Oumeraci H (2000) Breaking wave impact on a slender cylinder. 27th International Conference on Coastal Engineering, Sydney, 1787–1798

[108] Wood DJ, Peregrine DH, Bruce T. Wave impact on a wall using pressure-impulse theory. I: Trapped air. Journal of Waterway Port Coastal and Ocean Engineering, 2000, 126(4): 182-190

[109] Zeng F, Zhang N, Huang G, Gu Q, Pan W. A novel method in generating freak wave and modulating wave profile. Marine Structures, 2022, 82: 103148

[110] Zeng X, Shi W, Michailides C, Zhang S, Li X. Numerical and experimental investigation of breaking wave forces on a monopile-type offshore wind turbine. Renewable Energy, 2021, 175: 501-519

[111] Zhang AM, Sun PN, Ming FR, Colagrossi A. Smoothed particle hydrodynamics and its applications in fluid-structure interactions. Journal of Hydrodynamics, Ser. B, 2017, 29(2): 187-216

[112] Zhou D, Chan ES, Melville WK. Wave impact pressures on vertical cylinders. Applied Ocean Research, 1991, 13(5): 220-234

[113] Zhu J, Gao Y, Wang L, Li W. Experimental investigation of breaking regular and irregular waves slamming on an offshore monopile wind turbine. Marine Structures, 2022, 86: 103270