Abstract
The conventional wave-body interaction analysis method, which uses the boundary element and Lagrangian time evolution methods (BEM-MEL), can cause numerical instability, and several solutions have been proposed. In this study, we propose a new method for removing mesh distortion using the mesh adjustment velocity and putting the nodes on the correct Neumann boundary surface using the clinging velocity. The stability of the proposed method and the convergence of present results to the experimental results were investigated. The simulation is well stabilized using the present method, allowing for a large time step in the initial value problem. Furthermore, the calculation results agree well with previous experimental and numerical results. The proposed method enables BEM-MEL to simulate violent phenomena efficiently and expands the scope of BEM-MEL application.
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Robertson AN, Wendt F, Jonkman JM, Popko W, Dagher H, Gueydon S, Qvist J, Vittori F, Azcona J, Uzunoglu E, Soares CG, Harries R, Yde A, Galinos C, Hermans K, de Vaal JB, Bozonnet P, Bouy L, Bayati I, Bergua R, Galvan J, Mendikoa I, Sanchez CB, Shin H, Oh S, Molins C, Debruyne Y (2017) OC5 Project Phase II: validation of global loads of the DeepCwind floating semisubmersible wind turbine. Energy Procedia 137:38–57. https://doi.org/10.1016/j.egypro.2017.10.333
Robertson AN, Gueydon S, Bachynski E, Wang L, Jonkman J, Alarcón D, Amet E, Beardsell A, Bonnet P, Boudet B, Brun C, Chen Z, Féron M, Forbush D, Galinos C, Galvan J, Gilbert P, Gómez J, Harnois V, Haudin F, Hu Z, Dreff JL, Leimeister M, Lemmer F, Li H, McKinnon G, Mendikoa I, Moghtadaei A, Netzband S, Oh S, Pegalajar-Jurado A, Nguyen MQ, Ruehl K, Schünemann P, Shi W, Shin H, Si Y, Surmont F, Trubat P, Qwist J, Wohlfahrt-Laymann S (2020) OC6 Phase I: investigating the underprediction of low-frequency hydrodynamic loads and responses of a floating wind turbine. J Phys Conf Ser. https://doi.org/10.1088/1742-6596/1618/3/032033
Wang L, Robertson A, Jonkman J, Yu Y-H (2022) OC6 phase I: improvements to the OpenFAST predictions of nonlinear, low-frequency responses of a floating offshore wind turbine platform. Renew Energy 187:282–301. https://doi.org/10.1016/j.renene.2022.01.053
Fochesato C, Dias F (2006) A fast method for nonlinear three-dimensional free-surface waves. Proc R Soc A Math Phys Eng Sci 462(2073):2715–2735. https://doi.org/10.1098/rspa.2006.1706
Harris JC, Dombre E, Benoit M, Grilli ST, Kuznetsov KI (2022) Nonlinear time-domain wave-structure interaction: a parallel fast integral equation approach. Int J Numer Methods Fluids 94(2):188–222. https://doi.org/10.1002/fld.5051
Longuet-Higgins MS, Cokelet ED (1976) The deformation of steep surface waves on water—I. A numerical method of computation. Proc R Soc Lond A Math Phys Sci 350(1660):1–26. https://doi.org/10.1098/rspa.1976.0092
Bai W, Eatock Taylor R (2006) Higher-order boundary element simulation of fully nonlinear wave radiation by oscillating vertical cylinders. Appl Ocean Res 28(4):247–265. https://doi.org/10.1016/j.apor.2006.12.001
Bai W, Eatock Taylor R (2007) Numerical simulation of fully nonlinear regular and focused wave diffraction around a vertical cylinder using domain decomposition. Appl Ocean Res 29(1–2):55–71. https://doi.org/10.1016/j.apor.2007.05.005
Bai W, Eatock Taylor R (2009) Fully nonlinear simulation of wave interaction with fixed and floating flared structures. Ocean Eng 36(3–4):223–236. https://doi.org/10.1016/j.oceaneng.2008.11.003
Feng X, Bai W (2017) Hydrodynamic analysis of marine multibody systems by a nonlinear coupled model. J Fluids Struct 70:72–101. https://doi.org/10.1016/j.jfluidstructs.2017.01.016
Dombre E, Harris JC, Benoit M, Violeau D, Peyrard C (2019) A 3D parallel boundary element method on unstructured triangular grids for fully nonlinear wave-body interactions. Ocean Eng 171(2018):505–518. https://doi.org/10.1016/j.oceaneng.2018.09.044
Zhou BZ, Ning DZ, Teng B, Bai W (2013) Numerical investigation of wave radiation by a vertical cylinder using a fully nonlinear HOBEM. Ocean Eng 70:1–13. https://doi.org/10.1016/j.oceaneng.2013.04.019
Zhang C (2015) Application of an improved semi-Lagrangian procedure to fully-nonlinear simulation of sloshing in non-wall-sided tanks. Appl Ocean Res 51:74–92. https://doi.org/10.1016/j.apor.2015.03.001
Wang C, Khoo BC, Yeo KS (2003) Elastic mesh technique for 3D BIM simulation with an application to underwater explosion bubble dynamics. Comput Fluids 32(9):1195–1212. https://doi.org/10.1016/S0045-7930(02)00105-6
Zhang AM, Liu YL (2015) Improved three-dimensional bubble dynamics model based on boundary element method. J Comput Phys 294:208–223. https://doi.org/10.1016/j.jcp.2015.03.049
Hamano K, Murashige S, Hayami K (2003) Boundary element simulation of large amplitude standing waves in vessels. Eng Anal Bound Elem 27(6):565–574. https://doi.org/10.1016/S0955-7997(03)00041-9
Zhang YL, Yeo KS, Khoo BC, Wang C (2001) 3D jet impact and toroidal bubbles. J Comput Phys 166(2):336–360. https://doi.org/10.1006/jcph.2000.6658
Loewenberg M, Hinch EJ (1996) Numerical simulation of a concentrated emulsion in shear flow. J Fluid Mech 321:395–419. https://doi.org/10.1017/S002211209600777X
Hu P, Wu GX, Ma QW (2002) Numerical simulation of nonlinear wave radiation by a moving vertical cylinder. Ocean Eng 29(14):1733–1750. https://doi.org/10.1016/S0029-8018(02)00002-1
Retzler CH, Chaplin JR, Rainey RCT (2000) Transient motion of a vertical cylinder: measurements and computations of the free surface. In: Proc. 15th Int. Work. Water Waves Float. Bodies. http://www.iwwwfb.org/Workshops/15.htm
Goring DG (1979) Tsunamis: the propagation of long waves onto a shelf. PhD Thesis 1979, 356 arXiv:9705052v1 [arXiv:quant-ph]
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Hirakawa, T. Stabilized BEM-MEL for fully nonlinear wave-body interactions using a mesh adjustment velocity. J Mar Sci Technol 28, 496–505 (2023). https://doi.org/10.1007/s00773-023-00936-7
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DOI: https://doi.org/10.1007/s00773-023-00936-7