FN Archimer Export Format
PT J
TI Second-order Lagrangian description of tri-dimensional gravity wave interactions
BT 
AF NOUGUIER, Frederic
   CHAPRON, Bertrand
   GUERIN, Charles-Antoine
AS 1:1;2:2;3:1;
FF 1:;2:PDG-ODE-LOS;3:;
C1 Aix Marseille Univ, CNRS, Univ Toulon, MIO,IRD,UM 110, F-83957 La Garde, France.
   IFREMER, Lab Oceanog Spatiale, F-29280 Plouzane, France.
C2 UNIV AIX MARSEILLE, FRANCE
   IFREMER, FRANCE
SI BREST
SE PDG-ODE-LOS
UM LOPS
IN WOS Ifremer jusqu'en 2018
   copubli-france
   copubli-univ-france
IF 2.514
TC 10
UR https://archimer.ifremer.fr/doc/00274/38476/37042.pdf
LA English
DT Article
DE ;surface gravity waves;waves/free-surface flows
AB 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 Eulerian expansion of the same order. At the second order, it can account for complex nonlinear phenomena such as wave-front deformation that we can relate to the initial stage of horseshoe-pattern formation and the Benjamin-Feir modulational instability to shed new light on the origins of these mechanisms.
PY 2015
PD JUL
SO Journal Of Fluid Mechanics
SN 0022-1120
PU Cambridge Univ Press
VL 772
UT 000357029100010
BP 165
EP 196
DI 10.1017/jfm.2015.179
ID 38476
ER

EF