A coupled-mode technique for the run-up of non-breaking dispersive waves on plane beaches
A coupled-mode model is developed and applied to the transformation and run-up of dispersive water waves on plane beaches. The present work is based on the consistent coupled-mode theory for the propagation of water waves in variable bathymetry regions, developed by Athanassoulis & Belibassakis...
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ftntunivathens:oai:dspace.lib.ntua.gr:123456789/35032 2023-05-15T14:20:54+02:00 A coupled-mode technique for the run-up of non-breaking dispersive waves on plane beaches Belibassakis, KA Athanassoulis, GA 2006 http://dspace.lib.ntua.gr/handle/123456789/35032 unknown info:eu-repo/semantics/openAccess free Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE Bathymetry Boundary conditions Linear equations Water wave effects Evanescent modes Non-breaking dispersive waves Plane beaches Water waves info:eu-repo/semantics/conferenceObject 2006 ftntunivathens 2019-07-13T16:32:26Z A coupled-mode model is developed and applied to the transformation and run-up of dispersive water waves on plane beaches. The present work is based on the consistent coupled-mode theory for the propagation of water waves in variable bathymetry regions, developed by Athanassoulis & Belibassakis (1999) and extended to 3D by Belibassakis et al (2001), which is suitably modified to apply to a uniform plane beach. The key feature of the coupled-mode theory is a complete modal-type expansion of the wave potential, containing both propagating and evanescent modes, being able to consistently satisfy the Neumann boundary condition on the sloping bottom. Thus, the present approach extends previous works based on the modified mild-slope equation in conjunction with analytical solution of the linearised shallow water equations, see, e.g., Massel & Pelinovsky (2001). Numerical results concerning non-breaking waves on plane beaches are presented and compared with exact analytical solutions; see, e.g., Wehausen & Laitone (1960, Sec. 18). Also, numerical results are presented concerning the run-up of non-breaking solitary waves on plane beaches and compared with the ones obtained by the solution of the shallow-water wave equations, Synolakis (1987), Li & Raichlen (2002), and experimental data, Synolakis (1987). Copyright © 2006 by ASME. Conference Object Arctic National Technical University of Athens (NTUA): DSpace |
institution |
Open Polar |
collection |
National Technical University of Athens (NTUA): DSpace |
op_collection_id |
ftntunivathens |
language |
unknown |
topic |
Bathymetry Boundary conditions Linear equations Water wave effects Evanescent modes Non-breaking dispersive waves Plane beaches Water waves |
spellingShingle |
Bathymetry Boundary conditions Linear equations Water wave effects Evanescent modes Non-breaking dispersive waves Plane beaches Water waves Belibassakis, KA Athanassoulis, GA A coupled-mode technique for the run-up of non-breaking dispersive waves on plane beaches |
topic_facet |
Bathymetry Boundary conditions Linear equations Water wave effects Evanescent modes Non-breaking dispersive waves Plane beaches Water waves |
description |
A coupled-mode model is developed and applied to the transformation and run-up of dispersive water waves on plane beaches. The present work is based on the consistent coupled-mode theory for the propagation of water waves in variable bathymetry regions, developed by Athanassoulis & Belibassakis (1999) and extended to 3D by Belibassakis et al (2001), which is suitably modified to apply to a uniform plane beach. The key feature of the coupled-mode theory is a complete modal-type expansion of the wave potential, containing both propagating and evanescent modes, being able to consistently satisfy the Neumann boundary condition on the sloping bottom. Thus, the present approach extends previous works based on the modified mild-slope equation in conjunction with analytical solution of the linearised shallow water equations, see, e.g., Massel & Pelinovsky (2001). Numerical results concerning non-breaking waves on plane beaches are presented and compared with exact analytical solutions; see, e.g., Wehausen & Laitone (1960, Sec. 18). Also, numerical results are presented concerning the run-up of non-breaking solitary waves on plane beaches and compared with the ones obtained by the solution of the shallow-water wave equations, Synolakis (1987), Li & Raichlen (2002), and experimental data, Synolakis (1987). Copyright © 2006 by ASME. |
format |
Conference Object |
author |
Belibassakis, KA Athanassoulis, GA |
author_facet |
Belibassakis, KA Athanassoulis, GA |
author_sort |
Belibassakis, KA |
title |
A coupled-mode technique for the run-up of non-breaking dispersive waves on plane beaches |
title_short |
A coupled-mode technique for the run-up of non-breaking dispersive waves on plane beaches |
title_full |
A coupled-mode technique for the run-up of non-breaking dispersive waves on plane beaches |
title_fullStr |
A coupled-mode technique for the run-up of non-breaking dispersive waves on plane beaches |
title_full_unstemmed |
A coupled-mode technique for the run-up of non-breaking dispersive waves on plane beaches |
title_sort |
coupled-mode technique for the run-up of non-breaking dispersive waves on plane beaches |
publishDate |
2006 |
url |
http://dspace.lib.ntua.gr/handle/123456789/35032 |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE |
op_rights |
info:eu-repo/semantics/openAccess free |
_version_ |
1766293374082482176 |