000014021 001__ 14021
000014021 005__ 20161115094008.0
000014021 04107 $$aeng
000014021 046__ $$k2016-08-21
000014021 100__ $$aPizzo, Nicholas
000014021 24500 $$aWave modulation: the geometry, kinematics, and dynamics of surface-wave packets

000014021 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014021 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014021 506__ $$arestricted
000014021 520__ $$2eng$$aWe derive a set of conserved quantities and moment evolution equations for the modified nonlinear Schrodinger equation (Dysthe 1979; MNLSE), with application to interpreting the geometry, kinematics, and dynamics of deep-water surface gravity wave packets. Our theory predicts modifications to the group velocity and explains the asymmetric leaning forward of the wave packet as focusing occurs. The theory is examined numerically for dispersive focusing wave packets, and these results are compared to numerical simulations of the fully-nonlinear potential flow equations. It is found that the MNLSE models the bulk scale features of the focusing event, and that the numerical results are consistent with the theoretical predictions.

000014021 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014021 653__ $$a

000014021 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014021 720__ $$aPizzo, Nicholas
000014021 8560_ $$ffischerc@itam.cas.cz
000014021 8564_ $$s71310$$uhttps://invenio.itam.cas.cz/record/14021/files/PO.FM16-1.03.186.pdf$$yOriginal version of the author's contribution as presented on CD, XMLout( page 1634, code PO.FM16-1.03.186).
000014021 962__ $$r13812
000014021 980__ $$aPAPER