A simple model of the Draupner Wave Experiment
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 Sout...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818125000130 |
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| author | Graeme Hocking Emma Nel Alice Markham Erick Mubai Thama Duba Samah Ali Hloniphile Sithole Mthethwa Morwakoma Matabane Ndivhuwo Ndou Katlego Sebogodi Salma Ahmedai Nyathi Freeman |
| author_facet | Graeme Hocking Emma Nel Alice Markham Erick Mubai Thama Duba Samah Ali Hloniphile Sithole Mthethwa Morwakoma Matabane Ndivhuwo Ndou Katlego Sebogodi Salma Ahmedai Nyathi Freeman |
| author_sort | Graeme Hocking |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dd3c4463a5314352aee2e11c335b24ee |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-dd3c4463a5314352aee2e11c335b24ee2025-01-19T06:26:47ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101085A simple model of the Draupner Wave ExperimentGraeme Hocking0Emma Nel1Alice Markham2Erick Mubai3Thama Duba4Samah Ali5Hloniphile Sithole Mthethwa6Morwakoma Matabane7Ndivhuwo Ndou8Katlego Sebogodi9Salma Ahmedai10Nyathi Freeman11Mathematics & Statistics, Murdoch University, Murdoch, Australia; Corresponding author.Department of Math Sc., Stellenbosch University, Stellenbosch, 7600, South AfricaMathematicss, University Witwatersrand, Johannesburg, South AfricaMathematicss, University Witwatersrand, Johannesburg, South AfricaMathematicss, University Witwatersrand, Johannesburg, South AfricaSchool of Maths, University KwaZulu-Natal, Pietermaritzburg, 3209, South AfricaSchool of Maths, University KwaZulu-Natal, Pietermaritzburg, 3209, South AfricaSouth African Weather Service, Centurion, 0157, South AfricaDepartment Math & Comp Sc, University of Venda, Thohoyandou 0950, South AfricaMath Sciences, Florida Campus, University of South Africa, South AfricaSchool of Maths, University KwaZulu-Natal, Pietermaritzburg, 3209, South AfricaMath Sciences, Florida Campus, University of South Africa, South AfricaRogue 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.http://www.sciencedirect.com/science/article/pii/S2666818125000130Rogue wavesFree surface flowWavesMoving boundary |
| spellingShingle | Graeme Hocking Emma Nel Alice Markham Erick Mubai Thama Duba Samah Ali Hloniphile Sithole Mthethwa Morwakoma Matabane Ndivhuwo Ndou Katlego Sebogodi Salma Ahmedai Nyathi Freeman A simple model of the Draupner Wave Experiment Partial Differential Equations in Applied Mathematics Rogue waves Free surface flow Waves Moving boundary |
| title | A simple model of the Draupner Wave Experiment |
| title_full | A simple model of the Draupner Wave Experiment |
| title_fullStr | A simple model of the Draupner Wave Experiment |
| title_full_unstemmed | A simple model of the Draupner Wave Experiment |
| title_short | A simple model of the Draupner Wave Experiment |
| title_sort | simple model of the draupner wave experiment |
| topic | Rogue waves Free surface flow Waves Moving boundary |
| url | http://www.sciencedirect.com/science/article/pii/S2666818125000130 |
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