Waves and wave forces on coastal and ocean structures [[electronic resource] /] / Robert T. Hudspeth

• Autore: Hudspeth Robert T
• Pubblicazione: Hackensack, N.J. ; ; Singapore, : World Scientific, c2006
• Descrizione fisica: 1 online resource (954 p.)
• Disciplina: 624.1/72
• Soggetto topico: Fluid dynamics - Mathematical models; Ocean waves - Mathematical models; Water waves - Mathematical models
• 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
• Titolo autorizzato: Waves and wave forces on coastal and ocean structures
• ISBN: 1-281-37918-2; 9786611379186; 1-61583-037-5; 981-277-482-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910777035003321
• Lo trovi qui: Univ. Federico II
• Serie: Advanced series on ocean engineering ; ; v. 21.