Linear evolution of a narrow-banded surface gravity wavepacket over an infinite step
This paper focuses on the classical and fundamental problem of waves propagating over an infinite step in finite water depth. Specifically, this paper aims to extend classical narrow-banded wave theory for constant water depth which uses a multiple-scales expansion to the case of an abrupt change in...
| Main Authors: | , , |
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| Format: | Conference item |
| Language: | English |
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American Society of Mechanical Engineers
2019
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| _version_ | 1826288811073601536 |
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| author | Li, Y Adcock, TAA van den Bremer, TS |
| author_facet | Li, Y Adcock, TAA van den Bremer, TS |
| author_sort | Li, Y |
| collection | OXFORD |
| description | This paper focuses on the classical and fundamental problem of waves propagating over an infinite step in finite water depth. Specifically, this paper aims to extend classical narrow-banded wave theory for constant water depth which uses a multiple-scales expansion to the case of an abrupt change in the water depth, known as an infinite step. This paper derives the linear evolution equations and is the first step towards the calculation of second-order and higher-order effects for wavepackets travelling over a step using commonly employed envelope-type evolution equations, in particular the bound sub- and super-harmonics at second order. |
| first_indexed | 2024-03-07T02:19:20Z |
| format | Conference item |
| id | oxford-uuid:a35dddb8-60ee-4a3f-a0bb-ab3943346027 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:19:20Z |
| publishDate | 2019 |
| publisher | American Society of Mechanical Engineers |
| record_format | dspace |
| spelling | oxford-uuid:a35dddb8-60ee-4a3f-a0bb-ab39433460272022-03-27T02:26:26ZLinear evolution of a narrow-banded surface gravity wavepacket over an infinite stepConference itemhttp://purl.org/coar/resource_type/c_5794uuid:a35dddb8-60ee-4a3f-a0bb-ab3943346027EnglishSymplectic Elements at OxfordAmerican Society of Mechanical Engineers2019Li, YAdcock, TAAvan den Bremer, TSThis paper focuses on the classical and fundamental problem of waves propagating over an infinite step in finite water depth. Specifically, this paper aims to extend classical narrow-banded wave theory for constant water depth which uses a multiple-scales expansion to the case of an abrupt change in the water depth, known as an infinite step. This paper derives the linear evolution equations and is the first step towards the calculation of second-order and higher-order effects for wavepackets travelling over a step using commonly employed envelope-type evolution equations, in particular the bound sub- and super-harmonics at second order. |
| spellingShingle | Li, Y Adcock, TAA van den Bremer, TS Linear evolution of a narrow-banded surface gravity wavepacket over an infinite step |
| title | Linear evolution of a narrow-banded surface gravity wavepacket over an infinite step |
| title_full | Linear evolution of a narrow-banded surface gravity wavepacket over an infinite step |
| title_fullStr | Linear evolution of a narrow-banded surface gravity wavepacket over an infinite step |
| title_full_unstemmed | Linear evolution of a narrow-banded surface gravity wavepacket over an infinite step |
| title_short | Linear evolution of a narrow-banded surface gravity wavepacket over an infinite step |
| title_sort | linear evolution of a narrow banded surface gravity wavepacket over an infinite step |
| work_keys_str_mv | AT liy linearevolutionofanarrowbandedsurfacegravitywavepacketoveraninfinitestep AT adcocktaa linearevolutionofanarrowbandedsurfacegravitywavepacketoveraninfinitestep AT vandenbremerts linearevolutionofanarrowbandedsurfacegravitywavepacketoveraninfinitestep |