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Article
Open AccessDispersive Wave Focusing on a Shear Current: Part 1—Linear Approximations
We consider the evolution and kinematics during dispersive focussing, for a group of waves propagating atop currents varying with depth. Our analysis assumes long-crested linear waves propagating at arbitrary ...
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Article
Stability of Three-Dimensional Interfacial Waves Under Subharmonic Disturbances
This study examines the stability regimes of three-dimensional interfacial gravity waves. The numerical results of the linear stability analysis extend the three-dimensional surface waves results of Ioualalen ...
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Article
Open AccessWave Breaking in Undular Bores with Shear Flows
It is well known that weak hydraulic jumps and bores develop a growing number of surface oscillations behind the bore front. Defining the bore strength as the ratio of the head of the undular bore to the undis...
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Article
Effect of Water Vorticity on Wind-Generated Gravity Waves in Finite Depth
The generation of wind waves at the surface of an established underlying vertically sheared water flow, of constant vorticity, is considered. A particular attention is paid to the role of the vorticity in wate...
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Chapter
Focusing Wave Group Propagating in Finite Depth in the Presence of Surface Current and Vorticity
The kinematics of two-dimensional focusing wave trains on a shearing flow in water of finite depth are investigated analytically. In the absence of waves, the vorticity due to the vertical gradient of the hori...
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Article
Rogue waves in shallow water in the presence of a vertically sheared current
Two-dimensional rogue wave occurrence in shallow water on a vertically sheared current of constant vorticity is considered. Using Euler equations and Riemann invariants in the shallow water approximation, hype...
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Article
Effect of vorticity on the generation of rogue waves due to dispersive focusing
The kinematic and dynamic of steep two-dimensional focusing wave trains on a shearing flow in deep water are investigated analytically and numerically. In the absence of waves, the vorticity due to the vertica...
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Book
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Book
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Chapter
Introduction
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Chapter
Conclusion
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Chapter
Quasi-Linear Wave Focusing
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Chapter
Shallow-Water Rogue Waves
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Chapter
Deterministic and Statistical Approaches for Studying Rogue Waves
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Chapter
Rogue Waves in Waters of Infinite and Finite Depths
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Chapter
Observation of Rogue Waves
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Book
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Chapter
On the modelling of huge water waves called rogue waves
The chapter focuses on the physics and modelling of the extreme water wave events called rogue waves. A particular attention is paid to their formation in presence of strong wind. Two mechanisms producing the ...
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Chapter
Freak Waves Phenomenon: Physical Mechanisms and Modelling
The main physical mechanisms responsible for the formation of huge waves known as freak waves are described and analyzed. Data of observations in the marine environment as well as laboratory experiments are br...
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Article
Modelling of Tsunami Propagation in the Vicinity of the French Coast of the Mediterranean
The problem of tsunami-risk for the French coast of the Mediterraneanis discussed. Historical data of tsunami manifestation on the French coast are described and analysed.Numerical simulation of potential tsun...
