随机波背景下基于非线性薛定谔方程的深水极端波浪的预测与分析

[1] MUIR L R, EL-SHAARAWI A. On the calculation of extreme wave heights: a review[J]. OceanEngineering, 1986, 13(1): 93-118.
[2] WHITE B, FORNBERG B. On the chance of freak waves at sea[J]. Journal of Fluid Mechanics,1998, 355: 113-138.
[3] DRAPER L. Freak wave[J]. Marine Observer, 1965, 35(2): 193-195.
[4] KLINTING P, SAND S E. Analysis of prototype freak waves[R]. 1987.
[5] HAVER S. Evidences of the existence of freak waves[C]//Rogue waves. Ifremer Brest, 2001:129-140.
[6] LI C, ÖZKAN-HALLER H T, GARCÍA MEDINA G, et al. Observations of extreme wave runupevents on the US Pacific Northwest coast[J]. Natural Hazards and Earth System Sciences, 2023,23(1): 107-126.
[7] MALAGON SANTOS V, HAIGH I D, WAHL T. Spatial and temporal clustering analysis ofextreme wave events around the uk coastline[J]. Journal of Marine Science and Engineering,2017, 5(3).
[8] 自然资源部. 2021 年中国海洋灾害公报[EB/OL]. 2022. http://gi.mnr.gov.cn/202205/t20220507_2735508.html.
[9] TAO A, PENG J, ZHENG J, et al. Discussions on the occurrence probabilities of observed freakwaves[J]. Journal of Marine Science and Technology, 2015, 23(6): 11.
[10] TAO A, ZHENG J, MEE MEE S, et al. The most unstable conditions of modulation instability[J]. Journal of Applied Mathematics, 2012, 2012.
[11] MA Y, DONG G, PERLIN M, et al. Experimental investigation on the evolution of the modu￾lation instability with dissipation[J]. Journal of Fluid Mechanics, 2012, 711: 101-121.
[12] DE LEÓN S P, SOARES C G. Extreme wave parameters under North Atlantic extratropicalcyclones[J]. Ocean Modelling, 2014, 81: 78-88.
[13] ZOU Q, CHEN H. Wind and current effects on extreme wave formation and breaking[J]. Journalof Physical Oceanography, 2017, 47(7): 1817-1841.
[14] AKRISH G, SCHWARTZ R, RABINOVITCH O, et al. Impact of extreme waves on a verticalwall[J]. Natural Hazards, 2016, 84: 637-653.
[15] ZHANG J, BENOIT M, KIMMOUN O, et al. Statistics of extreme waves in coastal waters:large scale experiments and advanced numerical simulations[J]. Fluids, 2019, 4(2): 99.
[16] FENG X, BAI W. Wave resonances in a narrow gap between two barges using fully nonlinearnumerical simulation[J]. Applied Ocean Research, 2015, 50: 119-129.
[17] LIU Q, FENG X, TANG T. A machine learning model for wave prediction based on supportvector machine[J]. International Journal of Offshore and Polar Engineering, 2022, 32(04): 394-401.
[18] CALLENS A, MORICHON D, ABADIE S, et al. Using Random forest and Gradient boostingtrees to improve wave forecast at a specific location[J]. Applied Ocean Research, 2020, 104:102339.
[19] GRAMCIANINOV C, CAMPOS R, SOARES C G, et al. Distribution and characteristics of ex￾treme waves generated by extratropical cyclones in the North Atlantic Ocean[M]//Developmentsin maritime technology and engineering. CRC Press, 2021: 797-803.
[20] BENJAMIN T, FEIR J. The disintegration of wave trains on deep water Part 1. Theory[J].Journal of Fluid Mechanics, 1967, 27(03): 417–430.
[21] PHILLIPS O, POSNER J. Theoretical and experimental studies of the capillary instability of aliquid jet[J]. Journal of Fluid Mechanics, 1967, 29(03): 435–463.
[22] YUEN H C, LAKE B M. Nonlinear deep water waves: Theory and experiment[J]. The Physicsof Fluids, 1975, 18(8): 956-960.
[23] BARRATT D, VAN DEN BREMER T S, ADCOCK T A A. MNLS simulations of surfacewave groups with directional spreading in deep and finite depth waters[J]. Journal of OceanEngineering and Marine Energy, 2021, 7(3): 261-275.
[24] COPIE F, RANDOUX S, SURET P. The physics of the one-dimensional nonlinear Schrödingerequation in fiber optics: Rogue waves, modulation instability and self-focusing phenomena[J].Reviews in Physics, 2020, 5: 100037.
[25] YUEN H C, FERGUSON JR W E. Relationship between Benjamin–Feir instability and recur￾rence in the nonlinear Schrödinger equation[J]. Physics of Fluids, 1978, 21(8): 1275-1278.
[26] LAKE B M, YUEN H C, RUNGALDIER H, et al. Nonlinear deep-water waves: theory andexperiment. Part 2. Evolution of a continuous wave train[J]. Journal of Fluid Mechanics, 1977,83(1): 49-74.
[27] HEALY T R. Wave focusing[M]. Dordrecht: Springer Netherlands, 2005: 1059-1060.
[28] XU G, ZHOU Y, YAN S, et al. Numerical investigation of wave amplitude spectra effects onfocusing wave generation[J]. Ocean Engineering, 2022, 265: 112550.
[29] PEREGRINE D. Nonlinear water waves: a tale of two effects[J]. Physical Review Letters, 1979,43(10): 717–720.
[30] PELINOVSKY E, TALIPOVA T, KHARIF C. Nonlinear-dispersive mechanism of the freakwave formation in shallow water[J]. Physica D: Nonlinear Phenomena, 2000, 147(1-2): 83-94.
[31] BALDOCK T, SWAN C, TAYLOR P. A laboratory study of nonlinear surface waves on water[J].Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physicaland Engineering Sciences, 1996, 354(1707): 649-676.
[32] BROWN M G, JENSEN A. Experiments on focusing unidirectional water waves[J]. Journal ofGeophysical Research: Oceans, 2001, 106(C8): 16917-16928.
[33] TOUBOUL J, GIOVANANGELI J P, KHARIF C, et al. Freak waves under the action of wind:experiments and simulations[J]. European Journal of Mechanics-B/Fluids, 2006, 25(5): 662-676.
[34] KHARIF C, GIOVANANGELI J P, TOUBOUL J, et al. Influence of wind on extreme waveevents: experimental and numerical approaches[J]. Journal of Fluid Mechanics, 2008, 594:209-247.
[35] FANG Q, LIU J, HONG R, et al. Experimental investigation of focused wave action on coastalbridges with box girder[J]. Coastal Engineering, 2021, 165: 103857.
[36] VYZIKAS T, STAGONAS D, BULDAKOV E, et al. The evolution of free and bound wavesduring dispersive focusing in a numerical and physical flume[J]. Coastal Engineering, 2018,132: 95-109.
[37] HAO J, LI J, LIU S, et al. Wave amplification caused by Bragg resonance on parabolic-typetopography[J]. Ocean Engineering, 2022, 244: 110442.
[38] LAVRENOV I. The wave energy concentration at the Agulhas current off South Africa[J].Natural Hazards, 1998, 17(2): 117-127.
[39] VANEM E, ZHU T, BABANIN A. Statistical modelling of the ocean environment–A reviewof recent developments in theory and applications[J]. Marine Structures, 2022, 86: 103297.
[40] SLUNYAEV A. Nonlinear analysis and simulations of measured freak wave time series[J].European Journal of Mechanics-B/Fluids, 2006, 25(5): 621-635.
[41] ISLAS A, SCHOBER C. Predicting rogue waves in random oceanic sea states[J]. Physics offluids, 2005, 17(3): 031701.
[42] SLUNYAEV A. Analysis of the nonlinear spectrum of intense sea wave with the purpose ofextreme wave prediction[J]. Radiophysics and Quantum Electronics, 2018, 61: 1-21.
[43] DUCROZET G, BONNEFOY F, LE TOUZÉ D, et al. A modified high-order spectral methodfor wavemaker modeling in a numerical wave tank[J]. European Journal of Mechanics-B/Fluids,2012, 34: 19-34.
[44] RUBAN V P. Predictability of the appearance of anomalous waves at sufficiently smallBenjamin–Feir indices[J]. JETP letters, 2016, 103: 568-572.
[45] CLAUSS G N F, KOSLECK S, TESTA D, et al. Forecast of critical situations in short￾crested seas[C]//International Conference on Offshore Mechanics and Arctic Engineering: vol￾ume 48197. 2008: 217-226.
[46] VAN GROESEN E, WIJAYA A. High waves in Draupner seas—Part 2: Observation and pre￾diction from synthetic radar images[J]. Journal of Ocean Engineering and Marine Energy, 2017,3(4): 325-332.
[47] NAAIJEN P, HUIJSMANS R. Real time wave forecasting for real time ship motion predictions[C]//International Conference on Offshore Mechanics and Arctic Engineering: volume 48210.2008: 607-614.
[48] WIJAYA A P, NAAIJEN P, VAN GROESEN E, et al. Reconstruction and future prediction ofthe sea surface from radar observations[J]. Ocean Engineering, 2015, 106: 261-270.
[49] TRULSEN K, STANSBERG C. Spatial evolution of water surface waves: Numerical simulationand experiment of bichromatic waves[C]//Int Soc Offshore, 2001: 71-77.
[50] DUAN W, MA X, HUANG L, et al. Phase-resolved wave prediction model for long-crest wavesbased on machine learning[J]. Computer Methods in Applied Mechanics and Engineering,2020, 372.
[51] KALOOP M R, KUMAR D, ZARZOURA F, et al. A wavelet-Particle swarm optimization￾Extreme learning machine hybrid modeling for significant wave height prediction[J]. OceanEngineering, 2020, 213: 107777.
[52] GUTH S, SAPSIS T P. Machine learning predictors of extreme events occurring in complexdynamical systems[J]. Entropy, 2019, 21(10): 925.
[53] KAGEMOTO H. Forecasting a water-surface wave train with artificial intelligence-A case study[J]. Ocean Engineering, 2020, 207: 107380.
[54] LAW Y, SANTO H, LIM K, et al. Deterministic wave prediction for unidirectional sea-statesin real-time using Artificial Neural Network[J]. Ocean Engineering, 2020, 195: 106722.
[55] SLUNYAEV A, PELINOVSKY E, SOARES C G. Modeling freak waves from the North Sea[J]. Applied Ocean Research, 2005, 27(1): 12-22.
[56] AKHMEDIEV N, SOTO-CRESPO J M, ANKIEWICZ A, et al. Early detection of rogue wavesin a chaotic wave field[J]. Physics Letters A, 2011, 375(33): 2999-3001.
[57] BAYINDIR C. Early detection of rogue waves by the wavelet transforms[J]. Physics Letters A,2016, 380(1-2): 156-161.
[58] CHABCHOUB A, NEUMANN S, HOFFMANN N, et al. Spectral properties of the Peregrinesoliton observed in a water wave tank[J]. Journal of Geophysical Research: Oceans, 2012, 117(C11).
[59] BAYINDIR C A. A tomographic approach for the early detection of 2D rogue waves[J]. TWMSJournal of Applied and Engineering Mathematics, 2020, 10(3): 638-649.
[60] 付睿丽. 长峰极端波浪的统计特性和预报方法研究[D]. 大连理工大学, 2021.
[61] Marques Machado F M, LOPES A M G, FERREIRA A D. Numerical simulation of regularwaves: Optimization of a numerical wave tank[J]. Ocean Engineering, 2018, 170: 89-99.
[62] RAPP B E. Computational fluid dynamics[M]//Micro and Nano Technologies: Microfluidics(Second Edition). Second edition ed. Elsevier, 2023: 653-666.
[63] LV C, ZHAO X, LI M, et al. An improved wavemaker velocity boundary condition for generatingrealistic waves in the numerical wave tank[J]. Ocean Engineering, 2022, 261: 112188.
[64] KETABDARI M J. Free surface flow simulation using vof method[M]//Numerical Simulation.Rijeka: IntechOpen, 2016.
[65] SHAUER N, DESMOND K W, GORDON P A, et al. A three-dimensional generalized finiteelement method for the simulation of wave propagation in fluid-filled fractures[J]. ComputerMethods in Applied Mechanics and Engineering, 2021, 386: 114136.
[66] OLIVEIRA D, DE ALMEIDA J L, SANTIAGO A, et al. Development of a CFD-based nu￾merical wave tank of a novel multipurpose wave energy converter[J]. Renewable Energy, 2022,199: 226-245.
[67] FITZGERALD C. Nonlinear potential flow models[M]//Numerical Modelling of Wave EnergyConverters. Academic Press, 2016: 83-104.
[68] WANG W, PáKOZDI C, KAMATH A, et al. A flexible fully nonlinear potential flow modelfor wave propagation over the complex topography of the Norwegian coast[J]. Applied OceanResearch, 2022, 122: 103103.
[69] LIN Z, QIAN L, BAI W, et al. A finite volume based fully nonlinear potential flow model forwater wave problems[J]. Applied Ocean Research, 2021, 106: 102445.
[70] WANG W, PáKOZDI C, KAMATH A, et al. A fully nonlinear potential flow wave modellingprocedure for simulations of offshore sea states with various wave breaking scenarios[J]. Applied Ocean Research, 2021, 117: 102898.
[71] ZAKHAROV V E, SHABAT A B. Exact theory of two-dimensional self-focusing and onedimensional self-modulation of waves in nonlinear media[J]. Journal of Experimental and Theoretical Physics, 1972, 34: 62-69.
[72] PEREGRINE D H. Water waves, nonlinear Schrödinger equations and their solutions[J]. TheANZIAM Journal, 1983, 25(1): 16-43.
[73] CHABCHOUB A, AKHMEDIEV N, HOFFMANN N. Experimental study of spatiotemporallylocalized surface gravity water waves[J]. Physical Review E, 2012, 86(1): 016311-016311.
[74] URSELL F, DEAN R G, YU Y. Forced small-amplitude water waves: a comparison of theoryand experiment[J]. Journal of Fluid Mechanics, 1960, 7(1): 33-52.
[75] 俞聿修, 柳淑学. 随机波浪及其工程应用[M]. 大连理工大学出版社, 2011.
[76] BAI W, FENG X, TAYLOR R E, et al. Fully nonlinear analysis of near-trapping phenomenonaround an array of cylinders[J]. Applied Ocean Research, 2014, 44: 71-81.
[77] BAI W, Eatock Taylor R. Numerical simulation of fully nonlinear regular and focused wavediffraction around a vertical cylinder using domain decomposition[J]. Applied Ocean Research,2007, 29(1): 55-71.
[78] LI Y, WANG X. Numerical study of effects of gap and incident wave steepness on water resonance between two rectangular barges[J]. European Journal of Mechanics - B/Fluids, 2021, 86:157-168.
[79] BAI W, TAYLOR R E. Higher-order boundary element simulation of fully nonlinear waveradiation by oscillating vertical cylinders[J]. Applied Ocean Research, 2006, 28(4): 247-265.