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Journal article
A simple model of the Draupner Wave Experiment
Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters, Vol.13, 101085
2025
Abstract
Rogue Waves are large waves that appear “out of nowhere” in the open ocean and in near-shore waters. The Mathematics in Industry Study Group organized by Professor David Mason at the University of Witwatersrand in January, 2024, considered these waves due to their frequency at locations off the South African coast. There are a number of quite sophisticated models of these waves, but in this work we try to reproduce something like a rogue wave with a very simple free surface model, and in particular consider a wave generated in a circular tank by wave activity at the outer edge. Linear and nonlinear equations are derived and integrated to obtain the wave activity due to different generation mechanisms. The results indicate that a relatively simple model can produce something that approaches the form of a rogue wave.
Details
- Title
- A simple model of the Draupner Wave Experiment
- Authors/Creators
- Graeme Hocking - Murdoch University, Centre for Animal Production and HealthEmma Nel - Department of Math Sc., Stellenbosch University, Stellenbosch, 7600, South AfricaAlice Markham - Mathematicss, University Witwatersrand, Johannesburg, South AfricaErick Mubai - Mathematicss, University Witwatersrand, Johannesburg, South AfricaThama Duba - Mathematicss, University Witwatersrand, Johannesburg, South AfricaSamah Ali - School of Maths, University KwaZulu-Natal, Pietermaritzburg, 3209, South AfricaHloniphile Sithole Mthethwa - School of Maths, University KwaZulu-Natal, Pietermaritzburg, 3209, South AfricaMorwakoma Matabane - South African Weather Service, Centurion, 0157, South AfricaNdivhuwo Ndou - Department Math & Comp Sc, University of Venda, Thohoyandou 0950, South AfricaKatlego Sebogodi - Math Sciences, Florida Campus, University of South Africa, South AfricaSalma Ahmedai - School of Maths, University KwaZulu-Natal, Pietermaritzburg, 3209, South AfricaNyathi Freeman - Math Sciences, Florida Campus, University of South Africa, South Africa
- Publication Details
- Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters, Vol.13, 101085
- Publisher
- Elsevier B.V
- Identifiers
- 991005732480207891
- Copyright
- © 2025 The Authors.
- Murdoch Affiliation
- School of Mathematics, Statistics, Chemistry and Physics
- Language
- English
- Resource Type
- Journal article
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