Water Waves and Ship Hydrodynamics (eBook)

An Introduction

A.J. Hermans (Autor)

eBook Download: PDF

2010 | 2nd ed. 2011
XII, 169 Seiten
Springer Netherland (Verlag)
978-94-007-0096-3 (ISBN)

Infos

In this book an introduction is given to aspects of water waves that play a role in ship hydrodynamics and offshore engineering. At first the equations and linearized boundary conditions are derived describing the non-viscous free surface water waves, with special attention to the combination of steady and non-steady flow fields. Then some simple kinds of free wave solutions are derived, such as plane waves and cylindrical waves. For several situations, steady and unsteady, the source singularity function is derived. These functions play a role in numerical codes used to describe the motion of ships and offshore structures. These codes are mostly based on a boundary integral formulation; therefore we give an introduction to these methods. It is shown how first order ship motions can be determined. In offshore engineering the second order wave drift motions play an important role. An introduction to this phenomenon is given and the effects which have to be taken into account are explained by means of a simple example where we can determine nearly all the aspects analytically. An interesting example that is worked out is the motion of very large floating flexible platforms with finite draft. Finally an introduction to the theory of shallow water non-linear dispersive waves is presented, and shallow water ship hydrodynamics, that plays a role in coastal areas and channels is treated. Here attention is paid to the interaction between passing ships in restricted water. In the appendix a short introduction to some of the mathematical tools is given.

Inhalt

Preface to the Second Edition 5
Preface to the First Edition 6
Acknowledgements to the First Edition 8
Contents 9
Theory of Water Waves 11
Basic Linear Equations 11
Boundary Conditions 12
Linearised Theory 14
Small Amplitude Waves in a Steady Current 15
Small Amplitude Waves in a Small Velocity Flow Field 17
Linear Wave Phenomena 20
Travelling Plane Waves 20
Plane Waves 20
Wave Energy Transport 23
Cylindrical Waves 27
Harmonic Source Singularity 29
The Moving Pressure Point 36
Wave Fronts 38
Wave Patterns 40
Singularity in a Steady Current 44
Steady Singularity 44
Oscillating Singularity 47
Boundary Integral Formulation and Ship Motions 50
Scattering of Acoustic Waves 50
Direct Method 53
Source Distribution 54
Scattering of Free Surface Waves 55
Fixed Object 56
Direct Method 58
Source Distribution 58
Motions of a Floating Object, Ship Motions 59
Heave Motion of a Floating Object 62
Slow Speed Approximation 65
Second-Order Theory 68
Second-Order Wave Theory 68
Wave-Drift Forces and Moments 71
Constant and Low Frequency Drift Forces by Means of Local Expansions 72
Constant Drift Forces by Means of Far-Field Expansions 74
Demonstration of Second-Order Effects, a Classroom Example 78
Interaction of Waves with a Vertical Wall 78
Forces on a Fixed Wall 80
Moving Wall 81
First-Order Motion of the Wall 82
Influence of the Motion on the Low Frequency Drift Force 86
Second-Order Motion of the Wall 86
Some Observations 87
Asymptotic Formulation 88
Thin Ship Hydrodynamics, Michell Theory 88
Short Wave Diffraction by a Sailing Ship 91
Flexible Floating Platform 96
The Finite Draft Problem 97
Semi-Analytic Solution 100
Semi-Infinite Platform 102
Strip of Finite Length 105
Irregular and Non-linear Waves 112
Wiener Spectrum 112
Shallow Water Theory 118
Non-linear Dispersive Waves 123
Shallow Water Ship Hydrodynamics 133
Thin Airfoil Theory 133
The even part 138
The odd part 139
Slender Body Theory 141
Free Surface Effects 145
Ships in a Channel 154
Interaction of Ships 159
Appendices: Mathematical Methods 163
The Method of Stationary Phase 163
The Method of Characteristics 167
Singular Integral Equations 169
The Two-Dimensional Green's Function 170
Simplification of the Set of Algebraic Equations 171
References 173
Index 175

Produkt-Details

• Erscheint lt. Verlag: 21.10.2010
• Zusatzinfo: XII, 169 p.
• Verlagsort: Dordrecht
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: Dredging • Fluid Dynamics • naval hydrodynamics • Offshore Engineering • ship motions • Water Waves
• ISBN-10: 94-007-0096-2 / 9400700962
• ISBN-13: 978-94-007-0096-3 / 9789400700963