Laboratory Modeling of Resonance Phenomena in the LongWave Dynamics

P. 45–61.

Pelinovsky E., Didenkulova I., Abcha N.

Two sets of experiments in a wave flume to demonstrate resonance phenomena
in laboratory conditions have been performed. The first set was performed
to investigate nonlinear wave run-up on the beach. It is revealed that under certain
wave excitation frequencies, a significant increase in run-up amplification is
observed Ezersky et al. (Nonlin Processes Geophys 20:35, 2013, [1]). It is found that
this amplification is due to the excitation of resonant mode in the region between the
shoreline and wave maker. The second set of experiments was performed to model an
excitation of localized mode (edge waves) by breaking waves propagating towards
shoreline. It is shown that the excitation of edge waves is due to parametric instability
similar to pendulum with vibrating point of suspension. The domain of instability
in the plane of parameters (amplitude—frequency) of surface wave is found. It was
found that for amplitude of surface wave slightly exceeding the threshold, the amplitude
of edge wave grows exponentially with time, whereas for the large amplitude,
the wave breaking appears and excitation of edge wave does not occur. It was shown
that parametric excitation of edge wave can increase significantly (up to two times)

Keywords: краевые волны, Edge waves

In book

Nonlinear Waves and Pattern Dynamics

Switzerland: Springer, 2018.