FM26S_11417:Thu:1500:309
XXI International Congress of Theoretical and Applied Mechanics
Warsaw, Poland, August 15-21, 2004

Dynamics of Crescentwave Patterns in a Channel

D. Fructus (1), C. Kharif (2), D. Clamond (1), M. Francius (2), O. Kristiansen (1), J. Grue (1)
1. Dept. of Mathematics, University of Oslo, Norway
2. I.R.P.H.E., Marseille, France


Solving the full set of water wave equations, we perform numerical simulations of evolution of class II instabilities. We reproduce the well known steady horse-shoe patterns and the newly discovered oscillating horse-shoe. For small initial steepness of the basic Stokes wave, we identify the existence of a recurrence cycle similar to the Fermi-Pasta-Ulam recurrence for modulational instability. We further study the feasibility of experimental observation of such patterns and give an explanation for the selection mechanism responsible of trigging non-dominant instability leading to the formation of the oscillating patterns.



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