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Published on: November 18, 2015
Water wave collapses over quasi-one-dimensional nonuniformly periodic bed profiles
1Landau Institute for Theoretical Physics, 2 Kosygin Street, Moscow, Russia. ruban@itp.ac.ru
Summary
Nonlinear water waves interacting with periodic beds can spontaneously form localized 2D structures. These structures resemble a phenomenon known as wave collapse in deep-water conditions.
Area of Science:
- Fluid dynamics
- Nonlinear physics
- Oceanography
Background:
- Understanding nonlinear water waves is crucial for coastal engineering and maritime safety.
- Periodic bed profiles can significantly alter wave propagation and energy distribution.
- Previous studies have explored wave behavior in uniform channels, but interactions with nonuniform periodic beds are less understood.
Purpose of the Study:
- To numerically investigate the interaction of nonlinear water waves with quasi-one-dimensional nonuniformly periodic bed profiles.
- To analyze the spontaneous formation of localized two-dimensional wave structures.
- To characterize the phenomenon resembling wave collapse in the deep-water regime.
Main Methods:
- Numerical simulations were employed to study wave dynamics.
- Approximate equations for the envelopes of forward and backward waves were utilized.
- The deep-water wave regime was specifically considered.
Main Results:
- Spontaneous formation of localized two-dimensional wave structures was observed.
- The observed structures exhibited characteristics consistent with wave collapse.
- The interaction with nonuniformly periodic bed profiles was shown to induce these phenomena.
Conclusions:
- Nonlinear water waves interacting with quasi-one-dimensional nonuniformly periodic beds can lead to the spontaneous formation of localized 2D structures.
- This phenomenon, resembling wave collapse, highlights complex wave behavior in such environments.
- The findings contribute to a deeper understanding of nonlinear wave dynamics and their interaction with seabed topography.
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