1.

Record Nr.

UNINA9910807011603321

Autore

Hudspeth Robert T

Titolo

Waves and wave forces on coastal and ocean structures / / Robert T. Hudspeth

Pubbl/distr/stampa

Hackensack, N.J. ; ; Singapore, : World Scientific, c2006

ISBN

1-281-37918-2

9786611379186

1-61583-037-5

981-277-482-3

Edizione

[1st ed.]

Descrizione fisica

1 online resource (954 p.)

Collana

Advanced series on ocean engineering ; ; v. 21

Disciplina

624.1/72

Soggetti

Fluid dynamics - Mathematical models

Ocean waves - Mathematical models

Water waves - Mathematical models

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Contents               ; Preface              ; 1 Introduction                     ; 2 Mathematical Preliminaries                                   ; 2.1 Introduction                       ; 2.2 Symbols Functions and Linear Operators                                                 ; 2.2.1 Landau Order Symbols 0(E) and o(E) (Nayfeh 1973 Chapter 1.3 and Olver 1990 Chapter 12.1.1)                                                                                                       ; 2.2.2 Heaviside Step Function U(x-E)

2.2.3 Kronecker Delta 8mn Function and Dirac Delta 8(x-E) Distribution                                                                             2.2.4 Levi-Civita Symbol Eijk(Arfken 1985)                                                 ; 2.2.5 Gamma Functions T(o) (Andrews 1985)                                                ; 2.2.6 Error Functions Erf(o) and Erfc(o) (Barcilon 1990 p. 351)                                                                      ; 2.2.7 Gradient Vector Operator V(o)

2.2.8 Curl Vector Operator w = V x (o)                                             2.2.9 Laplacian Operator V2(o) = A(o)                                            ; 2.2.10 Stokes Material Derivative Operator D(o)/Dt                                                         ; 2.2.11 Leibnitz's Rule for Differentiation of Integrals with Parameters (Hildebrand 1976 Chapter 7.9)                                                                                                            ; 2.2.12 Signum (sign + ) Function

2.3 Properties of Series                               2.3.1 Power Series



(Hildebrand 1976 Chapter 4.1)                                                       ; 2.3.2 Function Series                            ; 2.3.3 Maclauren and Taylor Series (Hildebrand 1976 Chapters 4.1 and 7.5)                                                                               ; 2.3.4 Binomial Expansion (Wylie and Barrett 1982 p.938)

2.4 Elementary and Special Functions (Hildebrand 1976 Chapter 10.2)                                                                          2.4.1 Trigonometric and Hyperbolic Identities                                                    ; 2.4.2 Euler's Constant yE (Barcilon 1990 p. 346)                                                       ; 2.4.3 Bessel Functions (Hildebrand 1976 Chapters 4.8 to 4.10)                                                                    ; 2.4.4 Orthogonal Polynomials

2.5 Linear Ordinary Differential Equations (Hildebrand 1976 Chapters 1.1 to 1.11) and Operational Calculus (Friedman 1956)

Sommario/riassunto

This book focuses on: (1) the physics of the fundamental dynamics of fluids and of semi-immersed Lagrangian solid bodies that are responding to wave-induced loads; (2) the scaling of dimensional equations and boundary value problems in order to determine a small dimensionless parameter ε that may be applied to linearize the equations and the boundary value problems so as to obtain a linear system; (3) the replacement of differential and integral calculus with algebraic equations that require only algebraic substitutions instead of differentiations and integrations; and (4) the importance of c