1st Edition
Handbook of Mathematical Techniques for Wave/Structure Interactions
316 Pages
by
Chapman & Hall
320 Pages
by
Chapman & Hall
Also available as eBook on:
Although a wide range of mathematical techniques can apply to solving problems involving the interaction of waves with structures, few texts discuss those techniques within that context-most often they are presented without reference to any applications. Handbook of Mathematical Techniques for Wave/Structure Interactions brings together some of the most important techniques useful to applied... Read more
INTRODUCTION
The Water-Wave Problem
The Linearised Equations
Interaction of a Wave with a Structure
Reciprocity Relations
Energy of the Fluid Motion
EIGENFUNCTION EXPANSIONS
Introduction
Construction of Vertical Eigenfunction
Two-Dimensional Problems
Three-Dimensional Problems
Matched Eigenfunction Expansions
MULTIPOLE EXPANSIONS
Introduction
Isolated Obstacles
Multiple Bodies
INTEGRAL EQUATIONS
Source Distribution
Green's Theorem
Thin Obstacles
Interior Problems
Free-Surface Problems
Numerical Evaluation of Green's functions
Diffraction by a Gap in a Breakwater
Diffraction by an Insular Breakwater
Embedding Formulae
Numerical Solutions
THE WIENER-HOPF AND RELATED TECHNIQUES
The Weiner-Hopf Technique
Residue Calculus Theory
ARRAYS
The Wide-Spacing Approximation
SMALL OBJECTS
Introduction
Breakwater with a Gap
Vertical Cylinder
Heaving Cylinder
Eigenvalue Problems
VARIATIONAL METHODS
Scattering and Radiation Problems
Eigenvalue Problems
APPENDICES
Bessel Functions
Multipoles
Principle Value and Finite Part Integrals
The Water-Wave Problem
The Linearised Equations
Interaction of a Wave with a Structure
Reciprocity Relations
Energy of the Fluid Motion
EIGENFUNCTION EXPANSIONS
Introduction
Construction of Vertical Eigenfunction
Two-Dimensional Problems
Three-Dimensional Problems
Matched Eigenfunction Expansions
MULTIPOLE EXPANSIONS
Introduction
Isolated Obstacles
Multiple Bodies
INTEGRAL EQUATIONS
Source Distribution
Green's Theorem
Thin Obstacles
Interior Problems
Free-Surface Problems
Numerical Evaluation of Green's functions
Diffraction by a Gap in a Breakwater
Diffraction by an Insular Breakwater
Embedding Formulae
Numerical Solutions
THE WIENER-HOPF AND RELATED TECHNIQUES
The Weiner-Hopf Technique
Residue Calculus Theory
ARRAYS
The Wide-Spacing Approximation
SMALL OBJECTS
Introduction
Breakwater with a Gap
Vertical Cylinder
Heaving Cylinder
Eigenvalue Problems
VARIATIONAL METHODS
Scattering and Radiation Problems
Eigenvalue Problems
APPENDICES
Bessel Functions
Multipoles
Principle Value and Finite Part Integrals
Biography
C.M. Linton, P. McIver
