Rogue Waves in the Ocean

Rogue Waves in the Ocean
Extrait du IRPHE
https://www.irphe.fr/Rogue-Waves-in-the-Ocean
Christian Kharif
Rogue Waves in the Ocean
- Publications -
Date de mise en ligne : lundi 8 septembre 2008
IRPHE
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Rogue Waves in the Ocean
Christian Kharif, Efim Pelinovsky et Alexey Slunyaev ont publié en novembre 2008 un
nouvel ouvrage édité chez Springer.
Rogue Waves in the Ocean - Observations, Theories and Modelling. Springer, 2008.
Contents
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Preface
Introduction
Reference List
List of Notations
1 Observation of Rogue Waves
1.1 Historical Notes and Modern Testimonies
1.2 Instrumental Registrations and Related Problems
1.3 Sea States
Reference List
List of Notations
2 Deterministic and Statistical Approaches for Studying Rogue Waves
2.1 Deterministic Equations
2.1.1 Mass and momentum conservation equations
2.1.2. Boundary conditions
2.1.3. Linearization : Equations for small amplitude waves
2.1.4. Dispersion relation
2.2. Statistical Description
2.2.1. The Rayleigh probability
2.2.2. Wave spectra
2.2.3. Kinetic models
2.3 Possible Physical Mechanisms of Rogue Wave Generation
Reference List
List of Notations
3 Quasi-Linear Wave Focusing
3.1. Geometrical Focusing of Water Waves
3.2. Dispersive Enhancement of Wave Trains
3.3. Wave Focusing Under the Action of Wind
3.4. Wave-Current Interaction as a Mechanism of Rogue Waves
Reference List
List of Notations
4 Rogue Waves in Waters of Infinite and Finite Depths
4.1 The Modulational Instability
4.1.1. Within the framework of the fully nonlinear equations
4.1.2. Within the framework of the Nonlinear Schrödinger (NLS) equation
4.2 Rogue Wave Phenomenon Within the Framework of the NLS Equation
4.2.1. General solution of the Cauchy problem
4.2.2. Nonlinear-dispersive formation of a rogue wave
4.2.3. Solitons on a background and unstable modes
4.3. Rogue Wave Simulations Within the Framework of the Fully Nonlinear Equations
4.3.1 A high-order spectral method
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Rogue Waves in the Ocean
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4.3.2. A boundary integral equation method
4.3.3. Numerical simulation of rogue waves due to modulational instability
4.3.4. Numerical simulation of rogue waves due to dispersive focusing in the presence of wind and current
4.3.5. Numerical simulation of rogue waves due to envelope-soliton collision
4.4 Statistical Approach for Rogue Waves
4.5 Laboratory Experiments of Dispersive Wave Trains With and Without Wind
4.6 Three-Dimensional Rogue Waves
4.7 In-Situ Rogue Waves
4.7.1. Nonlinear analysis of measured rogue wave time series
4.7.2. Statistics from registrations of natural rogue waves
Reference List
List of Notations
List of Acronyms
5 Shallow-Water Rogue Waves
5.1. Nonlinear Models of Shallow-Water Waves
5.2. Nonlinear-Dispersive Focusing of Unidirectional Shallow-Water Wave
Fields
5.3. Numerical Modeling of Irregular Wave Fields in Shallow Water (KdV Framework)
5.4. Three-Dimensional Rogue Waves in Shallow Water
5.5. Anomalous High Waves on a Beach
Reference List List of Notations
7 Conclusion
Reference List
Appendix
Discretisation of the Boundary Integral Equation for the Potential
Index
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