Experimental study of particle trajectories below deep-water surface gravity wave groups
Due to the interplay between the forward Stokes drift and the backward wave-induced Eulerian return flow, Lagrangian particles underneath surface gravity wave groups can follow different trajectories depending on their initial depth below the surface. The motion of particles near the free surface is...
| मुख्य लेखकों: | , , , , |
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| स्वरूप: | Journal article |
| भाषा: | English |
| प्रकाशित: |
Cambridge University Press
2019
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| _version_ | 1826274660325523456 |
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| author | Van Den Bremer, T Whittaker, C Calvert, R Raby, A Taylor, P |
| author_facet | Van Den Bremer, T Whittaker, C Calvert, R Raby, A Taylor, P |
| author_sort | Van Den Bremer, T |
| collection | OXFORD |
| description | Due to the interplay between the forward Stokes drift and the backward wave-induced Eulerian return flow, Lagrangian particles underneath surface gravity wave groups can follow different trajectories depending on their initial depth below the surface. The motion of particles near the free surface is dominated by the waves and their Stokes drift, whereas particles at large depths follow horseshoe-shaped trajectories dominated by the Eulerian return flow. For unidirectional wave groups, a small net displacement in the direction of travel of the group results near the surface, and is accompanied by a net particle displacement in the opposite direction at depth. For deep-water waves, we study these trajectories experimentally by means of Particle Tracking Velocimetry in a two-dimensional flume. In doing so, we provide visual illustration of Lagrangian trajectories under groups, including the contributions of both the Stokes drift and the Eulerian return flow to both the horizontal and the vertical Lagrangian displacements. We compare our experimental results to leading-order solutions of the irrotational water wave equations, finding good agreement. |
| first_indexed | 2024-03-06T22:46:49Z |
| format | Journal article |
| id | oxford-uuid:5d776ddc-68c4-4c5f-b1ac-0227514b38c6 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:46:49Z |
| publishDate | 2019 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:5d776ddc-68c4-4c5f-b1ac-0227514b38c62022-03-26T17:34:40ZExperimental study of particle trajectories below deep-water surface gravity wave groupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5d776ddc-68c4-4c5f-b1ac-0227514b38c6EnglishSymplectic Elements at OxfordCambridge University Press2019Van Den Bremer, TWhittaker, CCalvert, RRaby, ATaylor, PDue to the interplay between the forward Stokes drift and the backward wave-induced Eulerian return flow, Lagrangian particles underneath surface gravity wave groups can follow different trajectories depending on their initial depth below the surface. The motion of particles near the free surface is dominated by the waves and their Stokes drift, whereas particles at large depths follow horseshoe-shaped trajectories dominated by the Eulerian return flow. For unidirectional wave groups, a small net displacement in the direction of travel of the group results near the surface, and is accompanied by a net particle displacement in the opposite direction at depth. For deep-water waves, we study these trajectories experimentally by means of Particle Tracking Velocimetry in a two-dimensional flume. In doing so, we provide visual illustration of Lagrangian trajectories under groups, including the contributions of both the Stokes drift and the Eulerian return flow to both the horizontal and the vertical Lagrangian displacements. We compare our experimental results to leading-order solutions of the irrotational water wave equations, finding good agreement. |
| spellingShingle | Van Den Bremer, T Whittaker, C Calvert, R Raby, A Taylor, P Experimental study of particle trajectories below deep-water surface gravity wave groups |
| title | Experimental study of particle trajectories below deep-water surface gravity wave groups |
| title_full | Experimental study of particle trajectories below deep-water surface gravity wave groups |
| title_fullStr | Experimental study of particle trajectories below deep-water surface gravity wave groups |
| title_full_unstemmed | Experimental study of particle trajectories below deep-water surface gravity wave groups |
| title_short | Experimental study of particle trajectories below deep-water surface gravity wave groups |
| title_sort | experimental study of particle trajectories below deep water surface gravity wave groups |
| work_keys_str_mv | AT vandenbremert experimentalstudyofparticletrajectoriesbelowdeepwatersurfacegravitywavegroups AT whittakerc experimentalstudyofparticletrajectoriesbelowdeepwatersurfacegravitywavegroups AT calvertr experimentalstudyofparticletrajectoriesbelowdeepwatersurfacegravitywavegroups AT rabya experimentalstudyofparticletrajectoriesbelowdeepwatersurfacegravitywavegroups AT taylorp experimentalstudyofparticletrajectoriesbelowdeepwatersurfacegravitywavegroups |