Chapter Ⅰ Linear Theory of Water Waves 1
1.1 Basic Equations 1
1.2 Boundary Conditions 3
1.3 Linearized Theory (small amplitude waves) 5
Chapter Ⅱ Linear Wave Phenomenon 9
2.1 The Moving Pressure Point 9
2.2 Oscillating Singularity 13
2.3 Travelling Waves 15
2.4 Group Velocity 18
2.5 Wave Fronts 24
2.6 Wave Patterns 26
Chapter Ⅲ Irregular and Non-linear Waves 33
3.1 The Wiener Spectrum 34
3.2 The Shallow Water Theory 41
3.3 Non-linear Dispersive Waves 49
Chapter Ⅳ Deep Water Ship Hydrodynamics 63
4.1 The Michell Theory 63
4.2 Ship Motion 71
4.3 Forces and Moments 82
Chapter Ⅴ Shallow Water Ship Hydrodynamics 89
5.1 Thin Airfoil Theory 90
5.2 Slender Body Theory 101
5.3 Free Surface Effects 105
5.4 Ships in a Channel 117
5.5 Interaction of Ships 124
Appendix 131
A.1 The Method of Stationary Phase 131
A.2 Characteristics of First Order Partial Differential Equations 136
A.3 Singular Integral Equations 139
References 143
INDEX 145