Numerical modeling of quasiplanar giant water waves
Abstract
In this work we present a further analytical development and a numerical implementation of the recently suggested theoretical model for highly nonlinear potential longcrested water waves, where weak threedimensional effects are included as small corrections to exact twodimensional equations written in the conformal variables [V. P. Ruban, Phys. Rev. E 71, 055303(R) (2005)]. Numerical experiments based on this theory describe the spontaneous formation of a single weakly threedimensional largeamplitude wave (alternatively called freak, killer, rogue, or giant wave) on the deep water.
 Publication:

Physical Review E
 Pub Date:
 December 2005
 DOI:
 10.1103/PhysRevE.72.066303
 arXiv:
 arXiv:physics/0509006
 Bibcode:
 2005PhRvE..72f6303R
 Keywords:

 47.15.Hg;
 02.60.Cb;
 92.10.c;
 Numerical simulation;
 solution of equations;
 Physical oceanography;
 Fluid Dynamics;
 Computational Physics
 EPrint:
 revtex4, 8 pages, 7 figures