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Dynamics of Surface Waves in Coastal Waters

Wave-Current-Bottom Interactions

  • Book
  • © 2009

Overview

Authors:
  1. Hu Huang

    1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, P.R. China

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  • Includes modified third-order evolution equations of Liu and Dingemans
  • Discusses a mild-slope equation and its action conservation for wave-current interactions over arbitrary depth
  • Covers an extended Zakharov equation for varying topography
  • Discusses short-crested waves and their loads on vertical structures

  • 3973 Accesses

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Preliminaries

    • Hu Huang
    Pages 1-8

  3. Weakly Nonlinear Water Waves Propagating over Uneven Bottoms

    • Hu Huang
    Pages 9-35

  4. Resonant Interactions Between Weakly Nonlinear Stokes Waves and Ambient Currents and Uneven Bottoms

    • Hu Huang
    Pages 37-51

  5. The Mild-Slope Equations

    • Hu Huang
    Pages 53-78

  6. Linear Gravity Waves over Rigid, Porous Bottoms

    • Hu Huang
    Pages 79-93

  7. Nonlinear Unified Equations over an Uneven Bottom

    • Hu Huang
    Pages 95-102

  8. Generalized Mean-Flow Theory

    • Hu Huang
    Pages 103-111

  9. Hamiltonian Description of Stratified Wave-Current Interactions

    • Hu Huang
    Pages 113-126

  10. Surface Capillary-Gravity Short-Crested Waves with a Current in Water of Finite Depth

    • Hu Huang
    Pages 127-209

  11. Back Matter

    Pages 211-236
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Keywords

About this book

Wave motion is one of the broadest scientific subjects in nature, especially water waves in the near-shore region which present more richness and complexity of variability with respect to deep-water waves. Dynamics of Surface Waves in Coastal Waters: Wave-Current-Bottom Interactions develops the typical basic theories (e.g. mild-slope equation and shore-crested waves) and applications of water wave propagation with an emphasis on wave-current-bottom interactions and Hamiltonian systems. In recent times, the interest in water wave propagation has accelerated because of rapid developments in global coastal ocean engineering.

This book lays a new foundation for coastal ocean engineering and includes numerous theories and concepts (generalized wave actions in particular), making it beneficial to physical oceanographers and engineers. The book has detailed illustrations and stimulating examples showing how the theory works, and up-to-date techniques, all of which make it accessible to a wide variety of readers, especially senior undergraduate and graduate students in fluid mechanics, coastal and ocean engineering, physical oceanography and applied mathematics.

Hu Huang is a professor of fluid mechanics at Shanghai University.

Authors and Affiliations

  • Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, P.R. China

    Hu Huang

Bibliographic Information

  • Book Title: Dynamics of Surface Waves in Coastal Waters

  • Book Subtitle: Wave-Current-Bottom Interactions

  • Authors: Hu Huang

  • DOI: https://doi.org/10.1007/978-3-540-88831-4

  • Publisher: Springer Berlin, Heidelberg

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2009

  • Edition Number: 1

  • Number of Pages: 236

  • Number of Illustrations: 10 b/w illustrations

  • Additional Information: Jointly published with Higher Education Press

  • Topics: Classical and Continuum Physics, Offshore Engineering, Oceanography, Earth Sciences, general

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