MNLS simulations of surface wave groups with directional spreading in deep and finite depth waters
We simulate focusing surface gravity wave groups with directional spreading using the modified nonlinear Schrödinger (MNLS) equation and compare the results with a fully-nonlinear potential flow code, OceanWave3D. We alter the direction and characteristic wavenumber of the MNLS carrier wave, to asse...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Springer
2021
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| _version_ | 1797099240996995072 |
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| author | Barratt, D van den Bremer, T Adcock, TAA |
| author_facet | Barratt, D van den Bremer, T Adcock, TAA |
| author_sort | Barratt, D |
| collection | OXFORD |
| description | We simulate focusing surface gravity wave groups with directional spreading using the modified nonlinear Schrödinger (MNLS) equation and compare the results with a fully-nonlinear potential flow code, OceanWave3D. We alter the direction and characteristic wavenumber of the MNLS carrier wave, to assess the impact on the simulation results. Both a truncated (fifth-order) and exact version of the linear dispersion operator are used for the MNLS equation. The wave groups are based on the theory of quasi-determinism and a narrow-banded Gaussian spectrum. We find that the truncated and exact dispersion operators both perform well if: (1) the direction of the carrier wave aligns with the direction of wave group propagation; (2) the characteristic wavenumber of the carrier wave coincides with the initial spectral peak. However, the MNLS simulations based on the exact linear dispersion operator perform significantly better if the direction of the carrier wave does not align with the wave group direction or if the characteristic wavenumber does not coincide with the initial spectral peak. We also perform finite-depth simulations with the MNLS equation for dimensionless depths (kpd) between 1.36 and 5.59, incorporating depth into the boundary conditions as well as the dispersion operator, and compare the results with those of fully-nonlinear potential flow code to assess the finite-depth limitations of the MNLS. |
| first_indexed | 2024-03-07T05:20:57Z |
| format | Journal article |
| id | oxford-uuid:dee16998-6123-43ca-9c0f-52ce512a94e1 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:20:57Z |
| publishDate | 2021 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:dee16998-6123-43ca-9c0f-52ce512a94e12022-03-27T09:35:23ZMNLS simulations of surface wave groups with directional spreading in deep and finite depth watersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:dee16998-6123-43ca-9c0f-52ce512a94e1EnglishSymplectic ElementsSpringer2021Barratt, Dvan den Bremer, TAdcock, TAAWe simulate focusing surface gravity wave groups with directional spreading using the modified nonlinear Schrödinger (MNLS) equation and compare the results with a fully-nonlinear potential flow code, OceanWave3D. We alter the direction and characteristic wavenumber of the MNLS carrier wave, to assess the impact on the simulation results. Both a truncated (fifth-order) and exact version of the linear dispersion operator are used for the MNLS equation. The wave groups are based on the theory of quasi-determinism and a narrow-banded Gaussian spectrum. We find that the truncated and exact dispersion operators both perform well if: (1) the direction of the carrier wave aligns with the direction of wave group propagation; (2) the characteristic wavenumber of the carrier wave coincides with the initial spectral peak. However, the MNLS simulations based on the exact linear dispersion operator perform significantly better if the direction of the carrier wave does not align with the wave group direction or if the characteristic wavenumber does not coincide with the initial spectral peak. We also perform finite-depth simulations with the MNLS equation for dimensionless depths (kpd) between 1.36 and 5.59, incorporating depth into the boundary conditions as well as the dispersion operator, and compare the results with those of fully-nonlinear potential flow code to assess the finite-depth limitations of the MNLS. |
| spellingShingle | Barratt, D van den Bremer, T Adcock, TAA MNLS simulations of surface wave groups with directional spreading in deep and finite depth waters |
| title | MNLS simulations of surface wave groups with directional spreading in deep and finite depth waters |
| title_full | MNLS simulations of surface wave groups with directional spreading in deep and finite depth waters |
| title_fullStr | MNLS simulations of surface wave groups with directional spreading in deep and finite depth waters |
| title_full_unstemmed | MNLS simulations of surface wave groups with directional spreading in deep and finite depth waters |
| title_short | MNLS simulations of surface wave groups with directional spreading in deep and finite depth waters |
| title_sort | mnls simulations of surface wave groups with directional spreading in deep and finite depth waters |
| work_keys_str_mv | AT barrattd mnlssimulationsofsurfacewavegroupswithdirectionalspreadingindeepandfinitedepthwaters AT vandenbremert mnlssimulationsofsurfacewavegroupswithdirectionalspreadingindeepandfinitedepthwaters AT adcocktaa mnlssimulationsofsurfacewavegroupswithdirectionalspreadingindeepandfinitedepthwaters |