Fast and local non-linear evolution of steep wave-groups on deep water: A comparison of approximate models to fully non-linear simulations
The Non-linear Schrödinger Equation and its higher order extensions are routinely used for analysis of extreme ocean waves. This paper compares the evolution of individual wave-packets modelled using Non-linear Schrödinger type equations with packets modelled using fully non-linear potential flow mo...
| Main Authors: | , |
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| Format: | Journal article |
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American Institute of Physics (AIP)
2015
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| _version_ | 1797097359378743296 |
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| author | Adcock, T Taylor, P |
| author_facet | Adcock, T Taylor, P |
| author_sort | Adcock, T |
| collection | OXFORD |
| description | The Non-linear Schrödinger Equation and its higher order extensions are routinely used for analysis of extreme ocean waves. This paper compares the evolution of individual wave-packets modelled using Non-linear Schrödinger type equations with packets modelled using fully non-linear potential flow models. The modi- fied Non-linear Schrödinger Equation accurately models the relatively large scale non-linear changes to the shape of wave-groups, with a dramatic contraction of the group along the mean propagation direction and a corresponding extension of the width of the wave-crests. In addition, as extreme waves form there is a local non-linear contraction of the wave-group around the crest which leads to a localised broadening of the wave spectrum which the bandwidth limited Non-linear Schrödinger Equations struggle to capture. This limitation occurs for waves of moderate steepness and a narrow underlying spectrum. |
| first_indexed | 2024-03-07T04:54:25Z |
| format | Journal article |
| id | oxford-uuid:d618c612-cd6e-4a5a-a73e-e739c1358cec |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:54:25Z |
| publishDate | 2015 |
| publisher | American Institute of Physics (AIP) |
| record_format | dspace |
| spelling | oxford-uuid:d618c612-cd6e-4a5a-a73e-e739c1358cec2022-03-27T08:30:52ZFast and local non-linear evolution of steep wave-groups on deep water: A comparison of approximate models to fully non-linear simulationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d618c612-cd6e-4a5a-a73e-e739c1358cecSymplectic Elements at OxfordAmerican Institute of Physics (AIP)2015Adcock, TTaylor, PThe Non-linear Schrödinger Equation and its higher order extensions are routinely used for analysis of extreme ocean waves. This paper compares the evolution of individual wave-packets modelled using Non-linear Schrödinger type equations with packets modelled using fully non-linear potential flow models. The modi- fied Non-linear Schrödinger Equation accurately models the relatively large scale non-linear changes to the shape of wave-groups, with a dramatic contraction of the group along the mean propagation direction and a corresponding extension of the width of the wave-crests. In addition, as extreme waves form there is a local non-linear contraction of the wave-group around the crest which leads to a localised broadening of the wave spectrum which the bandwidth limited Non-linear Schrödinger Equations struggle to capture. This limitation occurs for waves of moderate steepness and a narrow underlying spectrum. |
| spellingShingle | Adcock, T Taylor, P Fast and local non-linear evolution of steep wave-groups on deep water: A comparison of approximate models to fully non-linear simulations |
| title | Fast and local non-linear evolution of steep wave-groups on deep water: A comparison of approximate models to fully non-linear simulations |
| title_full | Fast and local non-linear evolution of steep wave-groups on deep water: A comparison of approximate models to fully non-linear simulations |
| title_fullStr | Fast and local non-linear evolution of steep wave-groups on deep water: A comparison of approximate models to fully non-linear simulations |
| title_full_unstemmed | Fast and local non-linear evolution of steep wave-groups on deep water: A comparison of approximate models to fully non-linear simulations |
| title_short | Fast and local non-linear evolution of steep wave-groups on deep water: A comparison of approximate models to fully non-linear simulations |
| title_sort | fast and local non linear evolution of steep wave groups on deep water a comparison of approximate models to fully non linear simulations |
| work_keys_str_mv | AT adcockt fastandlocalnonlinearevolutionofsteepwavegroupsondeepwateracomparisonofapproximatemodelstofullynonlinearsimulations AT taylorp fastandlocalnonlinearevolutionofsteepwavegroupsondeepwateracomparisonofapproximatemodelstofullynonlinearsimulations |