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Numerical Modeling of Sea Waves

  • Book
  • © 2016

Overview

Authors:
  1. Dmitry V. Chalikov

    1. Russian Academy of Science, P.P. Shirshov Inst of Oceanography, Saint-Petersburg, Russia

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  • Presents new methods for the mathematical modeling of sea waves
  • Assists readers with the implementation of the new approach to practical research
  • Provides novel results which are illuminated by illustrations
  • Includes supplementary material: sn.pub/extras

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Introduction: Different Approaches to Numerical Modeling of Sea Waves—Specifics of Current Approach

    • Dmitry V. Chalikov
    Pages 1-6

  3. Two-Dimensional Wave Model

    • Dmitry V. Chalikov
    Pages 7-18

  4. Stationary Solutions of Potential Equations

    • Dmitry V. Chalikov
    Pages 19-34

  5. Two-Dimensional Wave Modeling Based on Conformal Mapping

    • Dmitry V. Chalikov
    Pages 35-58

  6. Statistical Properties of One-Dimensional Waves

    • Dmitry V. Chalikov
    Pages 59-73

  7. Nonlinear Interaction in One-Dimensional Wave Field

    • Dmitry V. Chalikov
    Pages 75-106

  8. Modeling of Extreme Waves

    • Dmitry V. Chalikov
    Pages 107-136

  9. Numerical Investigation of Wave Breaking

    • Dmitry V. Chalikov
    Pages 137-173

  10. Numerical Modeling of Wind–Wave Interaction

    • Dmitry V. Chalikov
    Pages 175-212

  11. One-Dimensional Modeling of the WBL

    • Dmitry V. Chalikov
    Pages 213-241

  12. Numerical Investigation of Turbulence Generation in Non-breaking Potential Waves

    • Dmitry V. Chalikov
    Pages 243-266

  13. Three-Dimensional Modeling of Potential Waves

    • Dmitry V. Chalikov
    Pages 267-306

  14. Back Matter

    Pages 307-330
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Keywords

About this book

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.

Authors and Affiliations

  • Russian Academy of Science, P.P. Shirshov Inst of Oceanography, Saint-Petersburg, Russia

    Dmitry V. Chalikov

About the author

Dmitry Chalikov is a universal professional with more then 30 years of research experience in oceanography, meteorology, computational and geophysical fluid mechanics, mathematics, numerical methods. He also carries out formulation of problems, planning of laboratory and field experiments, theory, design, implementation, end-to-end programming (including programming for multiprocessors computers), comparison of simulated and observational data, development and maintenance of large models, leaderships and training of research groups, preparation of proposals and reports, publishing and presentation of the results in scientific conferences, teaching and coordination between education and research.

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