Analytical Methods in Marine Hydrodynamics

Ioannis K. Chatjigeorgiou

• Publisher: Cambridge University Press
• Year: 2018
• Print ISBN: 9781107179691
• eBook ISBN: 9781316846131
• Topic: Technology & Engineering
• Subtopic: Mechanical Engineering
• Index: Technology & Engineering

The value of analytical solutions relies on the rigorous formulation, and a strong mathematical background. This comprehensive volume unifies the most important geometries, which allow for the development of analytical solutions for hydrodynamic boundary value problems. It offers detailed explanations of the Laplance domain and numerical results associated with such problems, providing deep insight into the theory of hydrodynamics. Extended numerical calculations are provided and discussed, allowing the reader to use them as benchmarks for their own computations and making this an invaluable resource for specialists in in various disciplines, including hydrodynamics, acoustics, optics, electrostatics, and brain imaging.

Table of contents

• Cover
• Half-title
• Dedication
• Title page
• Copyright information
• Table of contents
• Foreword
• Preface
• Note on symbols and notations
• 1 Description of the Flow
• 2 Linear Hydrodynamics of Circular Cylinders
• 3 Higher-Order Phenomena for Circular Cylinders
• 4 Hydrodynamics of Elliptical Cylinders
• 5 Hydrodynamics of Spheres and Spheroids
• 6 Hydrodynamics of Ellipsoids
• Appendix A: Free-Surface Effective Pressure Distribution
• Appendix B: Mathieu Functions Formulas
• Appendix C: Water-Wave Diffraction by Arrays of Truncated Elliptical Cylinders
• Appendix D: The Wave Source Potential Expanded in Spherical Harmonics
• Appendix E: The Added Mass of a Steadily Translating Prolate Spheroid Close to a Rigid Wall and...
• Appendix F: Expansion of the Exponential into Spheroidal Harmonics
• Appendix G: Unsteady Lagally Theorem for Solid Bodies
• Appendix H: Analytical Formulae for Lamé Functions and Orthogonality Constants
• Appendix I: Examples of Surface Lamé Functions <eq>
• Appendix J: Transformation between Cartesian and Ellipsoidal Coordinates
• Appendix K: Addition Theorems in Spheroidal Coordinates
• Appendix L: Kochin’s Functions
• Appendix M: The General Orthogonality Property of the Lamé Functions: Neumann and Dirichlet Problems
• References
• Index