Numerical Modeling of Sea Waves
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Presenting a novel approach to wave theory, this book applies mathematical modeling to the investigation of sea waves. It presents problems, solutions and methods, and explores issues such as statistical properties of sea waves, generation of turbulence, Benjamin-Feir instability and the development of wave fields under the action of wind. Special attention is paid to the processes of dynamic wind-wave interaction, the formation of freak waves, as well as the role that sea waves play in the dynamic ocean/atmosphere system. It presents theoretical results which are followed by a description of the algorithms used in the development of wave forecasting models, and provides illustrations to assist understanding of the various models presented. This book provides an invaluable resource to oceanographers, specialists in fluid dynamics and advanced students interested in investigation of the widely known but poorly investigated phenomenon of sea waves Front Matter....Pages i-xvii Introduction: Different Approaches to Numerical Modeling of Sea Waves—Specifics of Current Approach....Pages 1-6 Two-Dimensional Wave Model....Pages 7-18 Stationary Solutions of Potential Equations....Pages 19-34 Two-Dimensional Wave Modeling Based on Conformal Mapping....Pages 35-58 Statistical Properties of One-Dimensional Waves....Pages 59-73 Nonlinear Interaction in One-Dimensional Wave Field....Pages 75-106 Modeling of Extreme Waves....Pages 107-136 Numerical Investigation of Wave Breaking....Pages 137-173 Numerical Modeling of Wind–Wave Interaction....Pages 175-212 One-Dimensional Modeling of the WBL....Pages 213-241 Numerical Investigation of Turbulence Generation in Non-breaking Potential Waves....Pages 243-266 Three-Dimensional Modeling of Potential Waves....Pages 267-306 Back Matter....Pages 307-330
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