Abstract: Advances in Coastal and Ocean EngineeringAdvances in Coastal and Ocean Engineering, pp. 241-324 (1999) No AccessNUMERICAL METHODS FOR NONLINEAR WAVESJOHN D. FENTONJOHN D. FENTONDepartment of Civil and Environmental Engineering, The University of Melbourne, Parkville, Vic. 3052, Australiahttps://doi.org/10.1142/9789812797544_0005Cited by:30 Previous AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: This Chapter gives a survey of numerical methods for solving fully-nonlinear problems of wave propagation in coastal and ocean engineering. While low-order theory may give insight, for accurate answers fully-nonlinear methods are becoming the norm. Such methods are often simpler than traditional methods, partly because the full equations are simpler than some of the approximations which are widely used. A lengthy description of the Fourier approximation method is given, which is the standard numerical method used to solve accurately the problem of steadily-propagating waves. This may be used to provide an approximate solution for waves in rather more general situations, or, as is often the case, to give initial conditions for methods which go on to simulate the propagation of waves over more general topography. The family of such propagation methods is then described, including Lagrangian methods, marker-and-cell methods, finite difference methods — including some exciting recent developments, boundary integral equation methods, spectral methods, Green-Naghdi Theory, and local polynomial approximation. Finally a review is given of methods for analysing laboratory and field data and extracting wave information. FiguresReferencesRelatedDetailsCited By 30Numerical Analysis of Wind Effect on Wave Overtopping on a Vertical SeawallAngela Di Leo, Fabio Dentale, Mariano Buccino, Sara Tuozzo and Eugenio Pugliese Carratelli29 November 2022 | Water, Vol. 14, No. 23Nonlinear time‐domain wave‐structure interaction: A parallel fast integral equation approachJeffrey C. Harris, Emmanuel Dombre, Michel Benoit, Stephan T. Grilli and Konstantin I. Kuznetsov26 October 2021 | International Journal for Numerical Methods in Fluids, Vol. 94, No. 2CALCULATION OF WAVE FORCES ACTING ON MONOPILES FOR OFFSHORE WIND TURBINESKei KUSUMI, Kazuhiro TANAKA, Keiko KOYAMA, Toru YAMABE and Keisuke MATSUKAWA et al.1 Jan 2022 | Journal of Japan Society of Civil Engineers, Ser. B3 (Ocean Engineering), Vol. 78, No. 2Optimal system and classification of invariant solutions of nonlinear class of wave equations and their conservation lawsAli Raza, F.M. Mahomed, F.D. Zaman and A.H. Kara1 Jan 2022 | Journal of Mathematical Analysis and Applications, Vol. 505, No. 1Development and validation of a numerical wave tank based on the Harmonic Polynomial Cell and Immersed Boundary methods to model nonlinear wave-structure interactionFabien Robaux and Michel Benoit1 Dec 2021 | Journal of Computational Physics, Vol. 446Reduced order model for nonlinear multi-directional ocean wave propagationSandeep Reddy Bukka, Yun Zhi Law, Harrif Santo and Eng Soon Chan1 Nov 2021 | Physics of Fluids, Vol. 33, No. 11Can Short‐Wave Nonlinearity Affect the Prediction of Wave Setup?Thomas Guérin and Gerben Ruessink14 September 2021 | Journal of Geophysical Research: Oceans, Vol. 126, No. 9Finite difference solutions for nonlinear water waves using an immersed boundary methodYan Xu, Harry B. Bingham and Yanlin Shao14 October 2020 | International Journal for Numerical Methods in Fluids, Vol. 93, No. 4Numerical Study of Roll Wave Characteristics Based on Navier-Stokes Equations: A Two-Dimensional SimulationXinyi Chen, Xiaoliang Wang and Qingquan Liu1 Feb 2021 | Journal of Engineering Mechanics, Vol. 147, No. 2Numerical Analysis of the Deformation Performance of Monopile under Wave and Current LoadLibo Chen, Xiaoyan Yang, Lichen Li, Wenbing Wu and M. Hesham El Naggar et al.4 December 2020 | Energies, Vol. 13, No. 23Performance Assessment of a Semi-Circular Breakwater through CFD ModellingAna Gomes, José L. S. Pinho, Tiago Valente, José S. Antunes do Carmo and Arkal V. Hegde23 March 2020 | Journal of Marine Science and Engineering, Vol. 8, No. 3Wave-monopile-seabed interaction considering nonlinear pile-soil contactDagui Tong, Chencong Liao and Jinjian Chen1 Sep 2019 | Computers and Geotechnics, Vol. 113IsoAdvector: Geometric VOF on General MeshesJohan Roenby, Henrik Bredmose and Hrvoje Jasak25 January 2019Improving performance of a semi-analytical model for nonlinear water wavesMaciej Paprota and Wojciech Sulisz1 Jan 2019 | Journal of Hydro-environment Research, Vol. 22The development of a high-accuracy, broadband, Green–Naghdi model for steep, deep-water ocean wavesWilliam C. Webster and BinBin Zhao16 October 2018 | Journal of Ocean Engineering and Marine Energy, Vol. 4, No. 4Accurate fast computation of steady two-dimensional surface gravity waves in arbitrary depthDidier Clamond and Denys Dutykh6 April 2018 | Journal of Fluid Mechanics, Vol. 844Mathematical modelling of wave energy converters: A review of nonlinear approachesMarkel Penalba, Giussepe Giorgi and John V. Ringwood1 Oct 2017 | Renewable and Sustainable Energy Reviews, Vol. 78Resolution of Incident and Reflected Components of Nonlinear Regular WavesYe Liu and Shao-Wu Li3 October 2016 | Coastal Engineering Journal, Vol. 58, No. 03Analysis of efficient preconditioned defect correction methods for nonlinear water wavesA. P. Engsig-Karup7 January 2014 | International Journal for Numerical Methods in Fluids, Vol. 74, No. 10Lagrangian modelling of fluid sloshing in moving tanksEugeny Buldakov1 Feb 2014 | Journal of Fluids and Structures, Vol. 45Modeling of propagation and transformation of transient nonlinear waves on a currentWojciech Sulisz and Maciej Paprota19 October 2013 | China Ocean Engineering, Vol. 27, No. 5Tsunami generation by paddle motion and its interaction with a beach: Lagrangian modelling and experimentEugeny Buldakov1 Oct 2013 | Coastal Engineering, Vol. 80Water Wave Theories and Wave LoadsHalil Karadeniz, Mehmet Polat Saka and Vedat Togan1 August 2012Numerical use of exterior singularities for computation of gravity waves in shallow waterSunao Murashige31 May 2012 | Journal of Engineering Mathematics, Vol. 77, No. 1Practical use of variational principles for modeling water wavesDidier Clamond and Denys Dutykh1 Jan 2012 | Physica D: Nonlinear Phenomena, Vol. 241, No. 1A σ -coordinate non-hydrostatic model with embedded Boussinesq-type-like equations for modeling deep-water wavesChih-Chieh Young and Chin H. Wu1 Jan 2009 | International Journal for Numerical Methods in Fluids, Vol. 28Discussion of "Burial of Short Cylinders Induced by Scour under Combined Waves and Currents" by Yovanni A. Cataño-Lopera and Marcelo H. GarcíaJosep R. Medina1 Jul 2008 | Journal of Waterway, Port, Coastal, and Ocean Engineering, Vol. 134, No. 4On the Lagrangian description of steady surface gravity wavesDIDIER CLAMOND8 October 2007 | Journal of Fluid Mechanics, Vol. 589A note on time integrators in water-wave simulationsDidier Clamond, Dorian Fructus and John Grue28 November 2006 | Journal of Engineering Mathematics, Vol. 58, No. 1-4On the realization of nonlinear wave profiles using the Banach fixed-point theorem: Stokes wave in a finite depthTaek S. Jang, S.H. Kwon and Takeshi Kinoshita22 Dec 2005 | Journal of Marine Science and Technology, Vol. 10, No. 4 Advances in Coastal and Ocean EngineeringMetrics History PDF download
Publication Year: 1999
Publication Date: 1999-07-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
Access and Citation
Cited By Count: 53
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot