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VOLUME 93 | ISSUE 4 |
PAGE 213
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Numerical study of Fermi-Pasta-Ulam recurrence for water waves over finite depth
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V. P. Ruban
L.D. Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia
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Abstract
Highly accurate direct numerical simulations have been performed
for two-dimensional free-surface potential flows of an ideal incompressible
fluid over a constant depth h, in the gravity field g. In each numerical
experiment, at t=0 the free surface profile was in the form , and the velocity field v=0. The computations demonstrate the
phenomenon of Fermi-Pasta-Ulam (FPU) recurrence takes place in such systems
for moderate initial wave amplitudes and spatial periods
at least . The time of recurrence T FPU is well
fitted by the formula
.
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