On reduced models for gravity waves generated by moving bodies
<p>In 1983, Marshall P. Tulin published a report proposing a framework for reducing the equations for gravity waves generated by moving bodies into a single nonlinear differential equation solvable in closed form [<em>Proc. 14th Symp. on Naval Hydrodynamics</em>, 1983, pp.19-51]. S...
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| Format: | Journal article |
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Cambridge University Press
2017
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| _version_ | 1797063299957784576 |
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| author | Trinh, P |
| author_facet | Trinh, P |
| author_sort | Trinh, P |
| collection | OXFORD |
| description | <p>In 1983, Marshall P. Tulin published a report proposing a framework for reducing the equations for gravity waves generated by moving bodies into a single nonlinear differential equation solvable in closed form [<em>Proc. 14th Symp. on Naval Hydrodynamics</em>, 1983, pp.19-51]. Several new and puzzling issues were highlighted by Tulin, notably the existence of weak and strong wave-making regimes, and the paradoxical fact that the theory seemed to be applicable to flows at low speeds, "<em>but not too low speeds</em>". These important issues were left unanswered, and despite the novelty of the ideas, Tulin's report fell into relative obscurity. Now thirty years later, we will revive Tulin's observations, and explain how an asymptotically consistent framework allows us to address these concerns. Most notably, we demonstrate, using the asymptotic method of steepest descents, how the production of free-surface waves can be related to the arrangement of integration contours connected to the shape of the moving body. This approach provides a new and powerful methodology for the study of geometrically nonlinear wave-body interactions.</p> |
| first_indexed | 2024-03-06T20:57:51Z |
| format | Journal article |
| id | oxford-uuid:39dea164-ebf4-49a1-a655-30d4705cf604 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:57:51Z |
| publishDate | 2017 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:39dea164-ebf4-49a1-a655-30d4705cf6042022-03-26T13:58:07ZOn reduced models for gravity waves generated by moving bodiesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:39dea164-ebf4-49a1-a655-30d4705cf604Symplectic Elements at OxfordCambridge University Press2017Trinh, P<p>In 1983, Marshall P. Tulin published a report proposing a framework for reducing the equations for gravity waves generated by moving bodies into a single nonlinear differential equation solvable in closed form [<em>Proc. 14th Symp. on Naval Hydrodynamics</em>, 1983, pp.19-51]. Several new and puzzling issues were highlighted by Tulin, notably the existence of weak and strong wave-making regimes, and the paradoxical fact that the theory seemed to be applicable to flows at low speeds, "<em>but not too low speeds</em>". These important issues were left unanswered, and despite the novelty of the ideas, Tulin's report fell into relative obscurity. Now thirty years later, we will revive Tulin's observations, and explain how an asymptotically consistent framework allows us to address these concerns. Most notably, we demonstrate, using the asymptotic method of steepest descents, how the production of free-surface waves can be related to the arrangement of integration contours connected to the shape of the moving body. This approach provides a new and powerful methodology for the study of geometrically nonlinear wave-body interactions.</p> |
| spellingShingle | Trinh, P On reduced models for gravity waves generated by moving bodies |
| title | On reduced models for gravity waves generated by moving bodies |
| title_full | On reduced models for gravity waves generated by moving bodies |
| title_fullStr | On reduced models for gravity waves generated by moving bodies |
| title_full_unstemmed | On reduced models for gravity waves generated by moving bodies |
| title_short | On reduced models for gravity waves generated by moving bodies |
| title_sort | on reduced models for gravity waves generated by moving bodies |
| work_keys_str_mv | AT trinhp onreducedmodelsforgravitywavesgeneratedbymovingbodies |