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Stability of some stationary solutions to the forced KdV equation with one or two bumps ArchiMer
Chardard, Frederic; Dias, Frederic; Nguyen, Hai Yen; Vanden-broeck, Jean-marc.
Free-surface flows past submerged obstacles in a channel are considered. The fluid is assumed to be inviscid and incompressible and the flow to be irrotational. The first-order approximation of long nonlinear surface waves over one or two bumps results in a forced Korteweg-de Vries (fKdV) equation. Solutions of the stationary fKdV equation are constructed and their stability is studied, either analytically or numerically. These various solutions include solitary waves over a single bump, solitary waves with two humps over a double bump, table-top solutions over a double bump and fronts.
Tipo: Text Palavras-chave: Forced Korteweg-de Vries equation; Free-surface flows; Numerical simulations; Stability; Topography.
Ano: 2011 URL: http://archimer.ifremer.fr/doc/00037/14873/12348.pdf
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