Hudspeth, Robert T.
Waves and wave forces on coastal and ocean structures [electronic resource] / Robert T. Hudspeth. - Singapore ; Hackensack, N.J. : World Scientific, c2006. - 1 online resource (xx, 932 p.) : ill.
Includes bibliographical references (p. 867-908) and index.
1. Introduction -- 2. Mathematical preliminaries. 2.1. Introduction. 2.2. Symbols, functions and linear operators. 2.3. Properties of series. 2.4. Elementary and special functions (Hildebrand, 1976, chapter 10.2). 2.5. Linear ordinary differential equations (Hildebrand, 1976, chapters 1.1 to 1.11) and operational calculus (Friedman, 1956). 2.6. Sturm-Liouville systems (Morse and Feshbach, 1953, chapter 6.3; Hildebrand, 1976, chapter 5.6; Oates, 1990, chapter 3.6.5. and Benton, 1990, chapter 6.6.) -- 3. Fundamentals of fluid mechanics. 3.1. Introduction. 3.2. Conservation of mass (continuity field equation). 3.3. Momentum principle. 3.4. Mechanical energy principle. 3.5. Scaling of equations. 3.6. Dimensional analyses. 3.7. Problems -- 4. Long-crested, Linear Wave Theory (LWT). 4.1. Introduction. 4.2. Dimensional Boundary Value Problem (BVP) for LWT -- 4.3. Solutions to Dimensional Boundary Value Problem (BVP) for long-crested, Linear Wave Theory (LWT). 4.4. Eulerian kinematic fields and Lagrangian particle displacements. 4.5. Eulerian dynamic fields, energy and energy flux conservation principles for long-crested linear waves. 4.6. Wave transformations for long-crested, progressive linear waves: shoaling and refraction. 4.7. Problems -- 5. Wavemaker theories. 5.1. Introduction. 5.2. Planar wavemakers in a 2D channel. 5.3. Circular wavemakers. 5.4. Double-actuated wavemaker. 5.5. Directional wavemaker. 5.6. Sloshing waves in a 2D wave channel. 5.7. Conformal and domain mapping of WMBVP. 5.8. Problems -- 6. Nonlinear wave theories. 6.1. Introduction. 6.2. Classical stokes: the method of successive approximations. 6.3. Traditional stokes: Lindstedt-Poincare 4th order perturbation solution. 6.4. Method of Multiple Scales (MMS). 6.5. Stream function solutions. 6.6. Breaking progressive waves. 6.7. Second-order nonlinear planar wavemaker theory. 6.8. Chaotic cross waves: Generalized Melnikov Method (GMM) and Liapunov exponents. 6.9. Problems -- 7. Deterministic dynamics of small solid bodies. 7.1. Introduction. 7.2. Small body hypothesis (Morison Equation). 7.3. Drag dF[symbol] and inertia dFm forces. 7.4. Comparison between a fixed cylinder in accelerating flow and an accelerating cylinder in still fluid. 7.5. Maximum static-equivalent force/moment (fixed-free beam). 7.6. Parametric dependency of force coefficients C[symbol] and C[symbol]. 7.7. The dean eccentricity parameter and data condition. 7.8. Modified Wave Force Equation (WFE, relative motion Morison equation). 7.9. Transverse forces on bluff solid bodies. 7.10. Stability of marine pipelines. 7.11. Problems -- 8. Deterministic dynamics of large solid bodies. 8.1. Dynamic response of large bodies: an overview. 8.2. Linearized MDOF large solid body dynamics. 8.3. Froude-Kriloff approximations for potential theory. 8.4. Diffraction by a full-draft vertical circular cylinder. 8.5. Reciprocity relationships. 8.6. Green's functions and Fredholm integral equations. 8.7. Wave loads computed by the FEM. 8.8. Problems -- 9. Real ocean waves. 9.1. Introduction. 9.2. Fourier analyses. 9.3. Ocean wave spectra. 9.4. Probability functions for random waves. 9.5. Wave groups. 9.6. Random wave simulations. 9.7. Data analyses: an example from Hurricane CARLA. 9.8. Random wave forces on small circular members. 9.9. Frequency domain input-output transfer functions. 9.10. Problems.
Electronic reproduction.
Singapore :
World Scientific Publishing Co.,
2006.
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
9789812774828 9812774823
Water waves--Mathematical models.
Fluid dynamics--Mathematical models.
Ocean waves--Mathematical models.
Electronic books.
624.172
Waves and wave forces on coastal and ocean structures [electronic resource] / Robert T. Hudspeth. - Singapore ; Hackensack, N.J. : World Scientific, c2006. - 1 online resource (xx, 932 p.) : ill.
Includes bibliographical references (p. 867-908) and index.
1. Introduction -- 2. Mathematical preliminaries. 2.1. Introduction. 2.2. Symbols, functions and linear operators. 2.3. Properties of series. 2.4. Elementary and special functions (Hildebrand, 1976, chapter 10.2). 2.5. Linear ordinary differential equations (Hildebrand, 1976, chapters 1.1 to 1.11) and operational calculus (Friedman, 1956). 2.6. Sturm-Liouville systems (Morse and Feshbach, 1953, chapter 6.3; Hildebrand, 1976, chapter 5.6; Oates, 1990, chapter 3.6.5. and Benton, 1990, chapter 6.6.) -- 3. Fundamentals of fluid mechanics. 3.1. Introduction. 3.2. Conservation of mass (continuity field equation). 3.3. Momentum principle. 3.4. Mechanical energy principle. 3.5. Scaling of equations. 3.6. Dimensional analyses. 3.7. Problems -- 4. Long-crested, Linear Wave Theory (LWT). 4.1. Introduction. 4.2. Dimensional Boundary Value Problem (BVP) for LWT -- 4.3. Solutions to Dimensional Boundary Value Problem (BVP) for long-crested, Linear Wave Theory (LWT). 4.4. Eulerian kinematic fields and Lagrangian particle displacements. 4.5. Eulerian dynamic fields, energy and energy flux conservation principles for long-crested linear waves. 4.6. Wave transformations for long-crested, progressive linear waves: shoaling and refraction. 4.7. Problems -- 5. Wavemaker theories. 5.1. Introduction. 5.2. Planar wavemakers in a 2D channel. 5.3. Circular wavemakers. 5.4. Double-actuated wavemaker. 5.5. Directional wavemaker. 5.6. Sloshing waves in a 2D wave channel. 5.7. Conformal and domain mapping of WMBVP. 5.8. Problems -- 6. Nonlinear wave theories. 6.1. Introduction. 6.2. Classical stokes: the method of successive approximations. 6.3. Traditional stokes: Lindstedt-Poincare 4th order perturbation solution. 6.4. Method of Multiple Scales (MMS). 6.5. Stream function solutions. 6.6. Breaking progressive waves. 6.7. Second-order nonlinear planar wavemaker theory. 6.8. Chaotic cross waves: Generalized Melnikov Method (GMM) and Liapunov exponents. 6.9. Problems -- 7. Deterministic dynamics of small solid bodies. 7.1. Introduction. 7.2. Small body hypothesis (Morison Equation). 7.3. Drag dF[symbol] and inertia dFm forces. 7.4. Comparison between a fixed cylinder in accelerating flow and an accelerating cylinder in still fluid. 7.5. Maximum static-equivalent force/moment (fixed-free beam). 7.6. Parametric dependency of force coefficients C[symbol] and C[symbol]. 7.7. The dean eccentricity parameter and data condition. 7.8. Modified Wave Force Equation (WFE, relative motion Morison equation). 7.9. Transverse forces on bluff solid bodies. 7.10. Stability of marine pipelines. 7.11. Problems -- 8. Deterministic dynamics of large solid bodies. 8.1. Dynamic response of large bodies: an overview. 8.2. Linearized MDOF large solid body dynamics. 8.3. Froude-Kriloff approximations for potential theory. 8.4. Diffraction by a full-draft vertical circular cylinder. 8.5. Reciprocity relationships. 8.6. Green's functions and Fredholm integral equations. 8.7. Wave loads computed by the FEM. 8.8. Problems -- 9. Real ocean waves. 9.1. Introduction. 9.2. Fourier analyses. 9.3. Ocean wave spectra. 9.4. Probability functions for random waves. 9.5. Wave groups. 9.6. Random wave simulations. 9.7. Data analyses: an example from Hurricane CARLA. 9.8. Random wave forces on small circular members. 9.9. Frequency domain input-output transfer functions. 9.10. Problems.
Electronic reproduction.
Singapore :
World Scientific Publishing Co.,
2006.
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
9789812774828 9812774823
Water waves--Mathematical models.
Fluid dynamics--Mathematical models.
Ocean waves--Mathematical models.
Electronic books.
624.172