Large amplitude internal solitary waves over a shelf
Dynamics of large amplitude internal waves in two-layers of shallow water is considered. It is demonstrated that in laboratory experiments the subsurface waves of depression over a shelf may be simulated by internal symmetric solitary waves of the mode 2 ("lump-like" waves). The mathematic...
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Copernicus Publications
2011-01-01
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| Series: | Natural Hazards and Earth System Sciences |
| Online Access: | http://www.nat-hazards-earth-syst-sci.net/11/17/2011/nhess-11-17-2011.pdf |
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doaj-5fd3655ce1e94b0aa0c0e18eca41175e2020-11-24T20:48:08ZengCopernicus PublicationsNatural Hazards and Earth System Sciences1561-86331684-99812011-01-01111172510.5194/nhess-11-17-2011Large amplitude internal solitary waves over a shelfN. GavrilovV. LiapidevskiiK. GavrilovaDynamics of large amplitude internal waves in two-layers of shallow water is considered. It is demonstrated that in laboratory experiments the subsurface waves of depression over a shelf may be simulated by internal symmetric solitary waves of the mode 2 ("lump-like" waves). The mathematical model describing the propagation and decaying of large internal waves in two-layer fluid is introduced. It is a variant of Choi-Camassa equations with hydrostatic pressure distribution in one of the layers. It is shown that the numerical scheme developed for the Green-Naghdi equations in open channel flows may be applied for the description of large amplitude internal waves over a shelf. http://www.nat-hazards-earth-syst-sci.net/11/17/2011/nhess-11-17-2011.pdf |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
N. Gavrilov V. Liapidevskii K. Gavrilova |
| spellingShingle |
N. Gavrilov V. Liapidevskii K. Gavrilova Large amplitude internal solitary waves over a shelf Natural Hazards and Earth System Sciences |
| author_facet |
N. Gavrilov V. Liapidevskii K. Gavrilova |
| author_sort |
N. Gavrilov |
| title |
Large amplitude internal solitary waves over a shelf |
| title_short |
Large amplitude internal solitary waves over a shelf |
| title_full |
Large amplitude internal solitary waves over a shelf |
| title_fullStr |
Large amplitude internal solitary waves over a shelf |
| title_full_unstemmed |
Large amplitude internal solitary waves over a shelf |
| title_sort |
large amplitude internal solitary waves over a shelf |
| publisher |
Copernicus Publications |
| series |
Natural Hazards and Earth System Sciences |
| issn |
1561-8633 1684-9981 |
| publishDate |
2011-01-01 |
| description |
Dynamics of large amplitude internal waves in two-layers of shallow water is considered. It is demonstrated that in laboratory experiments the subsurface waves of depression over a shelf may be simulated by internal symmetric solitary waves of the mode 2 ("lump-like" waves). The mathematical model describing the propagation and decaying of large internal waves in two-layer fluid is introduced. It is a variant of Choi-Camassa equations with hydrostatic pressure distribution in one of the layers. It is shown that the numerical scheme developed for the Green-Naghdi equations in open channel flows may be applied for the description of large amplitude internal waves over a shelf. |
| url |
http://www.nat-hazards-earth-syst-sci.net/11/17/2011/nhess-11-17-2011.pdf |
| work_keys_str_mv |
AT ngavrilov largeamplitudeinternalsolitarywavesoverashelf AT vliapidevskii largeamplitudeinternalsolitarywavesoverashelf AT kgavrilova largeamplitudeinternalsolitarywavesoverashelf |
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1716808832757268480 |