Dedication

pp ii-ii

Analytical Methods in Marine Hydrodynamics - Title page

pp iii-iii

Copyright page

pp iv-iv

Contents

pp v-viii

Foreword

pp ix-x

Preface

pp xi-xiv

Note on Symbols and Notations

pp xv-xvi

1 - Description of the Flow

pp 1-30

2 - Linear Hydrodynamics of Circular Cylinders

pp 31-95

3 - Higher-Order Phenomena for Circular Cylinders

pp 96-176

4 - Hydrodynamics of Elliptical Cylinders

pp 177-237

5 - Hydrodynamics of Spheres and Spheroids

pp 238-333

6 - Hydrodynamics of Ellipsoids

pp 334-396

Appendices

pp 397-488

Appendix A: - Free-Surface Effective Pressure Distribution

pp 397-399

Appendix B: - Mathieu Functions Formulas

pp 400-409

Appendix C: - Water-Wave Diffraction by Arrays of Truncated Elliptical Cylinders

pp 410-418

Appendix D: - The Wave Source Potential Expanded in Spherical Harmonics

pp 419-424

Appendix E: - The Added Mass of a Steadily Translating Prolate Spheroid Close to a Rigid Wall and in the Middle of a Channel

pp 425-436

Appendix F: - Expansion of the Exponential into Spheroidal Harmonics

pp 437-443

Appendix G: - Unsteady Lagally Theorem for Solid Bodies

pp 444-448

Appendix H: - Analytical Formulae for Lamé Functions and Orthogonality Constants

pp 449-455

Appendix I: - Examples of Surface Lamé Functions Snm(μ,ν)=Enm(μ)Enm(ν)

pp 456-461

Appendix J: - Transformation between Cartesian and Ellipsoidal Coordinates

pp 462-463

Appendix K: - Addition Theorems in Spheroidal Coordinates

pp 464-474

Appendix L: - Kochin’s Functions

pp 475-483

Appendix M: - The General Orthogonality Property of the Lamé Functions: Neumann and Dirichlet Problems

pp 484-488

References

pp 489-508

Index

pp 509-512