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| Nouguier, Frederic; Chapron, Bertrand; Guerin, Charles-antoine. |
| We revisit and supplement the description of gravity waves based on perturbation expansions in Lagrangian coordinates. A general analytical framework is developed to derive a second-order Lagrangian solution to the motion of arbitrary surface gravity wave fields in a compact and vectorial form. The result is shown to be consistent with the classical second-order Eulerian expansion by Longuet-Higgins (J. Fluid Mech., vol. 17, 1963, pp. 459-480) and is used to improve the original derivation by Pierson (1961 Models of random seas based on the Lagrangian equations of motion. Tech. Rep. New York University) for long-crested waves. As demonstrated, the Lagrangian perturbation expansion captures nonlinearities to a higher degree than does the corresponding... |
| Tipo: Text |
Palavras-chave: Surface gravity waves; Waves/free-surface flows. |
| Ano: 2015 |
URL: http://archimer.ifremer.fr/doc/00274/38476/37042.pdf |
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