Hermans Water Waves and Ship Hydrodynamics

An Introduction
2. Auflage 2010
ISBN: 978-94-007-0096-3
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 169 Seiten

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.

Autoren/Hrsg.

Hermans, A.J.

Inhaltsverzeichnis

1;Preface to the Second Edition;5
2;Preface to the First Edition;6
3;Acknowledgements to the First Edition;8
4;Contents;9
5;Theory of Water Waves;11
5.1;Basic Linear Equations;11
5.2;Boundary Conditions;12
5.3;Linearised Theory;14
5.3.1;Small Amplitude Waves in a Steady Current;15
5.3.2;Small Amplitude Waves in a Small Velocity Flow Field;17
6;Linear Wave Phenomena;20
6.1;Travelling Plane Waves;20
6.1.1;Plane Waves;20
6.1.2;Wave Energy Transport;23
6.2;Cylindrical Waves;27
6.3;Harmonic Source Singularity;29
6.4;The Moving Pressure Point;36
6.5;Wave Fronts;38
6.6;Wave Patterns;40
6.7;Singularity in a Steady Current;44
6.7.1;Steady Singularity;44
6.7.2;Oscillating Singularity;47
7;Boundary Integral Formulation and Ship Motions;50
7.1;Scattering of Acoustic Waves;50
7.1.1;Direct Method;53
7.1.2;Source Distribution;54
7.2;Scattering of Free Surface Waves;55
7.2.1;Fixed Object;56
7.2.2;Direct Method;58
7.2.3;Source Distribution;58
7.2.4;Motions of a Floating Object, Ship Motions;59
7.2.5;Heave Motion of a Floating Object;62
7.3;Slow Speed Approximation;65
8;Second-Order Theory;68
8.1;Second-Order Wave Theory;68
8.2;Wave-Drift Forces and Moments;71
8.2.1;Constant and Low Frequency Drift Forces by Means of Local Expansions;72
8.2.2;Constant Drift Forces by Means of Far-Field Expansions;74
8.3;Demonstration of Second-Order Effects, a Classroom Example;78
8.3.1;Interaction of Waves with a Vertical Wall;78
8.3.2;Forces on a Fixed Wall;80
8.3.3;Moving Wall;81
8.3.4;First-Order Motion of the Wall;82
8.3.5;Influence of the Motion on the Low Frequency Drift Force;86
8.3.6;Second-Order Motion of the Wall;86
8.3.7;Some Observations;87
9;Asymptotic Formulation;88
9.1;Thin Ship Hydrodynamics, Michell Theory;88
9.2;Short Wave Diffraction by a Sailing Ship;91
10;Flexible Floating Platform;96
10.1;The Finite Draft Problem;97
10.2;Semi-Analytic Solution;100
10.2.1;Semi-Infinite Platform;102
10.2.2;Strip of Finite Length;105
11;Irregular and Non-linear Waves;112
11.1;Wiener Spectrum;112
11.2;Shallow Water Theory;118
11.3;Non-linear Dispersive Waves;123
12;Shallow Water Ship Hydrodynamics;133
12.1;Thin Airfoil Theory;133
12.1.1;The even part;138
12.1.2;The odd part;139
12.2;Slender Body Theory;141
12.3;Free Surface Effects;145
12.4;Ships in a Channel;154
12.5;Interaction of Ships;159
13;Appendices: Mathematical Methods;163
13.1;The Method of Stationary Phase;163
13.2;The Method of Characteristics;167
13.3;Singular Integral Equations;169
13.4;The Two-Dimensional Green's Function;170
13.5;Simplification of the Set of Algebraic Equations;171
14;References;173
15;Index;175