Preface to the Third Edition |
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vii | |
Preface to the Second Edition |
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ix | |
Preface to the First Edition |
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xi | |
1 Introduction |
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1 | (58) |
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1.1 Waves in the Ocean and Their Significance |
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1 | (5) |
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1.2 Basic Assumptions on Seawater and Wave Motion |
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6 | (7) |
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1.2.1 Continuous fluid and water particle concepts |
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6 | (1) |
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1.2.2 Properties of seawater and its motion |
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7 | (6) |
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1.3 Fundamentals of Description of Regular Waves |
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13 | (15) |
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1.3.1 Linear description of waves |
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13 | (3) |
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1.3.2 Nonlinear description of waves |
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16 | (12) |
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1.3.2.1 Second-order Stokes waves |
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16 | (2) |
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1.3.2.2 Higher-order Stokes waves |
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18 | (1) |
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1.3.2.3 Nonlinear Schrodinger (NLS) equations and modulational instability |
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19 | (6) |
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1.3.2.4 Boussinesq and Korteweg-de Vries equations for waves in shallow water |
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25 | (3) |
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1.4 Methods of Description of Ocean Random Waves |
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28 | (31) |
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28 | (3) |
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1.4.2 Basic definitions and analysis of random time series |
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31 | (12) |
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1.4.3 Wave energy balance in spectral form |
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43 | (5) |
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1.4.4 Representation of wave properties in time-frequency space |
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48 | (14) |
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1.4.4.1 Wavelet transform approach |
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48 | (8) |
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1.4.4.2 The Hilbert transform representation of wave signal |
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56 | (3) |
2 Interaction of Surface Waves and Wind |
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59 | (38) |
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59 | (3) |
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2.2 Airflow over Sea Surface |
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62 | (16) |
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2.2.1 Atmospheric boundary layer above water |
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62 | (4) |
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2.2.2 Drag coefficient CD |
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66 | (7) |
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2.2.2.1 Dependence of CD on wind velocity |
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66 | (3) |
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2.2.2.2 Dependence of CD on other air-sea parameters |
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69 | (4) |
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2.2.3 Mathematical models of the airflow above waves |
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73 | (5) |
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2.3 Role of Surface Waves in Air-sea Interaction |
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78 | (3) |
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2.4 Generation of Waves by Wind |
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81 | (11) |
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2.4.1 Basic results of the Phillips-Miles model |
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81 | (7) |
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2.4.2 Quasi-linear theory of waves generation |
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88 | (2) |
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2.4.3 Wind-current coupling in gravity-capillary wave generation model |
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90 | (2) |
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2.5 Similarity Laws for Wind-induced Waves |
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92 | (5) |
3 Spectral Properties of Ocean Waves |
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97 | (48) |
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97 | (1) |
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3.2 Frequency Spectra of Ocean Waves |
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98 | (28) |
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3.2.1 Spectral moments and spectral width |
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98 | (5) |
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3.2.2 Saturation range of the frequency spectrum |
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103 | (9) |
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3.2.2.1 Phillips' constant alphap and energy loss by wave breaking |
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104 | (2) |
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3.2.2.2 Zaslavskii and Zakharov' representation |
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106 | (2) |
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3.2.2.3 Toba's representation |
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108 | (1) |
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3.2.2.4 Finite water depth |
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109 | (2) |
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3.2.2.5 Influence of surface drift |
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111 | (1) |
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3.2.3 Typical frequency spectra |
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112 | (11) |
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3.2.3.1 The Pierson-Moskowitz spectrum |
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112 | (1) |
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3.2.3.2 The JONSWAP spectrum and its modifications |
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113 | (4) |
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3.2.3.3 Multipeak spectra |
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117 | (6) |
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123 | (1) |
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3.2.4 Higher order spectra |
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123 | (3) |
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3.3 Dispersion Relation for Ocean Waves |
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126 | (4) |
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3.4 Directional Spectral Functions |
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130 | (15) |
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130 | (1) |
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3.4.2 The cosine-power models |
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131 | (5) |
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3.4.3 The von Mises formula |
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136 | (1) |
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3.4.4 The hyperbolic type model |
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136 | (2) |
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3.4.5 The double peak model |
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138 | (5) |
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3.4.6 Directional wave spectra under hurricane conditions |
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143 | (2) |
4 Statistical Properties of Ocean Waves |
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145 | (104) |
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145 | (1) |
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4.2 Surface Displacements |
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146 | (28) |
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4.2.1 Probability distribution of surface displacements of the Gaussian wave field |
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146 | (5) |
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4.2.2 Distribution of the non-Gaussian surface wave displacement |
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151 | (5) |
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4.2.3 Probability density of surface maxima and minima |
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156 | (12) |
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4.2.4 Probability distribution of surface displacements in finite water depth |
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168 | (6) |
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174 | (10) |
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4.3.1 Governing relationships and definitions |
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175 | (3) |
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4.3.2 Influence of the directional spreading on surface waves slopes |
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178 | (6) |
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184 | (26) |
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4.4.1 Probability distribution of wave height for a narrow-band spectrum |
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184 | (9) |
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4.4.2 Influence of wave nonlinearity on wave height distribution |
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193 | (7) |
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4.4.2.1 Modification of the Rayleigh distribution |
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193 | (3) |
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4.4.2.2 Crest-to-trough wave height distribution |
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196 | (4) |
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4.4.3 Probability distribution of large wave heights |
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200 | (1) |
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4.4.4 Probability distribution of extreme wave heights |
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201 | (6) |
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4.4.5 Probability distribution of wave height in finite water depth |
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207 | (3) |
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210 | (10) |
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4.5.1 Joint distribution of wave heights and periods |
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211 | (5) |
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4.5.2 Probability distribution of wave period |
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216 | (4) |
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4.6 Wave Orbital Velocities and Pressure |
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220 | (15) |
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4.6.1 Spectral functions for orbital velocities and pressure |
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220 | (3) |
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223 | (5) |
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4.6.3 Velocity close to sea surface |
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228 | (3) |
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4.6.4 Influence of intermittency effect on probability distribution of orbital velocities near water level |
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231 | (4) |
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4.7 Wave Group Statistics |
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235 | (8) |
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4.7.1 Level-crossing problem |
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236 | (5) |
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4.7.2 Markov chain representation |
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241 | (2) |
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4.8 Surface Area of an Ocean Waves |
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243 | (6) |
5 Properties of Breaking Waves |
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249 | (46) |
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249 | (2) |
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5.2 Wave Breaking in Deep Water |
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251 | (20) |
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5.2.1 Experimental insights into mechanisms of wave breaking |
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251 | (5) |
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5.2.2 Whitecap coverage of the sea surface |
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256 | (5) |
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5.2.3 Wave breaking criteria and probability of breaking |
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261 | (3) |
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5.2.4 Energy dissipation due to wave breaking |
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264 | (6) |
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5.2.5 Relationship of aerosol fluxes and wave breaking |
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270 | (1) |
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5.3 Wave Breaking in Shallow Water |
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271 | (24) |
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5.3.1 Surf similarity parameter |
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271 | (1) |
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5.3.2 Wave breaking models in shallow water |
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272 | (5) |
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5.3.2.1 Energy flux difference model |
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273 | (2) |
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5.3.2.2 Surface roller concept |
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275 | (2) |
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5.3.3 Periodic bore approach |
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277 | (2) |
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5.3.4 Battjes and Janssen solution (BJ78) for gentle beaches and its extension for steep slopes |
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279 | (18) |
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5.3.4.1 Thornton and Guza modification (TG83) |
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284 | (2) |
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5.3.4.2 Transformation of probability distribution |
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286 | (6) |
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5.3.4.3 Incorporation of wave breaking process into various surf-beat models |
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292 | (3) |
6 Prediction of Waves in Deep Water |
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295 | (68) |
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295 | (2) |
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6.2 Basic Wave Processes in Deep Water |
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297 | (31) |
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6.2.1 Atmospheric forcing |
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298 | (8) |
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6.2.1.1 Governing equations |
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298 | (5) |
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6.2.1.2 Response of waves to an opposing wind |
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303 | (3) |
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6.2.2 Nonlinear interaction between wave components |
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306 | (14) |
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6.2.2.1 Principal properties of nonlinear energy transfer |
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306 | (9) |
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6.2.2.2 Parameterisation of non-linear energy transfer |
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315 | (5) |
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6.2.3 Energy dissipation due to whitecapping |
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320 | (3) |
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6.2.4 Energy balance for fully-developed and growing seas |
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323 | (5) |
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6.3 Wave Prediction Numerical Models |
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328 | (17) |
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6.3.1 Early years prediction models |
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328 | (3) |
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6.3.2 Third-generation wave models |
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331 | (11) |
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332 | (6) |
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6.3.2.2 WAVEWATCH III model |
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338 | (3) |
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341 | (1) |
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6.3.3 Wave models as elements of the two-way coupled ocean circulation models |
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342 | (2) |
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6.3.4 General considerations on data assimilation in wave models |
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344 | (1) |
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6.4 Empirical Prediction Models |
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345 | (18) |
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6.4.1 Fetch-and time-limited wave growth |
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345 | (2) |
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6.4.2 JONSWAP prediction graphs |
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347 | (1) |
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6.4.3 SPM prediction graphs |
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348 | (1) |
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349 | (2) |
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351 | (8) |
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6.4.6 Comparison of empirical methods |
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359 | (4) |
7 Prediction of Waves in Shallow Water |
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363 | (88) |
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363 | (1) |
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7.2 Basic Wave Processes in Shallow Water |
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364 | (74) |
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7.2.1 Wave refraction due to bottom shoaling |
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364 | (9) |
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7.2.2 Refraction by currents in a shoaling water depth |
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373 | (6) |
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7.2.2.1 Propagation of random waves in an inhomogeneous region |
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373 | (4) |
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7.2.2.2 Influence of uniform current on a saturation range spectrum |
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377 | (2) |
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7.2.3 Combined refraction and diffraction |
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379 | (21) |
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7.2.3.1 A brief orientation |
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379 | (4) |
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7.2.3.2 Geometrical optics and mild-slope approximation |
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383 | (3) |
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7.2.3.3 Time-dependent mild-slope equation |
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386 | (2) |
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7.2.3.4 Extended mild-slope equations |
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388 | (4) |
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7.2.3.5 Mild-slope equations for random waves |
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392 | (2) |
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7.2.3.6 Influence of energy dissipation |
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394 | (3) |
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7.2.3.7 Wave set-down and set-up |
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397 | (3) |
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7.2.4 Reflection of ocean waves |
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400 | (10) |
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7.2.5 Wave energy dissipation due to bottom friction |
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410 | (7) |
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7.2.5.1 A brief orientation |
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410 | (1) |
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7.2.5.2 Probability distribution of the bottom shear stress |
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410 | (5) |
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7.2.5.3 Eddy viscosity approach for bottom boundary layer |
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415 | (2) |
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7.2.6 Energy dissipation due to bottom permeability |
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417 | (3) |
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7.2.7 Nonlinear interaction between spectral wave components |
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420 | (7) |
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7.2.8 The largest wave height in water of constant depth |
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427 | (11) |
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7.2.8.1 Non-linearity parameter Fc for practical use |
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427 | (3) |
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7.2.8.2 Application of higher approximations of Stokes' and cnoidal theories |
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430 | (1) |
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7.2.8.3 Limiting wave height for mechanically generated waves |
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431 | (5) |
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7.2.8.4 Maximum irregular wave height |
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436 | (2) |
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7.3 Wave Prediction Numerical Models |
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438 | (13) |
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7.3.1 Early years prediction models |
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438 | (8) |
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7.3.1.1 Third generation wave models |
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441 | (2) |
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7.3.1.2 Wave prediction models for shallow waters |
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443 | (3) |
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7.3.2 Empirical prediction models |
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446 | (8) |
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7.3.2.1 SPM prediction method |
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446 | (2) |
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7.3.2.2 Krylov prediction method |
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448 | (3) |
8 Rogue Waves |
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451 | (30) |
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451 | (3) |
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8.2 Rogue Wave Observations |
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454 | (7) |
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454 | (4) |
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8.2.2 Laboratory experiments |
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458 | (3) |
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8.3 Probability of Occurrence of Rogue Waves |
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461 | (6) |
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8.4 Rogue Wave Generation |
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467 | (10) |
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8.4.1 Linear models of rogue waves generation |
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467 | (3) |
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8.4.1.1 Spatial focusing of water waves |
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467 | (2) |
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8.4.1.2 Wave-current interaction |
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469 | (1) |
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8.4.2 Nonlinear models of rogue wave generation |
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470 | (7) |
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8.5 Impact of Rogue Waves on Marine Safety |
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477 | (4) |
9 Wave Motion Starting from Rest: Tsunami |
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481 | (24) |
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481 | (1) |
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9.2 Large Scale Tsunamis in the World Ocean |
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482 | (4) |
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9.3 Tsunami Generation Due to Earthquake |
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486 | (12) |
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9.3.1 Tsunami generation phase |
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486 | (1) |
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9.3.2 Numerical modelling of tsunami in deep ocean |
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487 | (3) |
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9.3.3 Tsunami in coastal zone and tsunami run-up |
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490 | (7) |
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9.3.3.1 Governing equations |
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490 | (7) |
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9.3.4 Statistical characteristics of run-up of long waves |
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497 | (1) |
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9.4 Tsunami Due to Landslides |
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498 | (7) |
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498 | (9) |
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9.4.1.1 Experimental and theoretical studies |
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499 | (6) |
10 Wave Motion Starting from Rest: Other Examples |
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505 | (22) |
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505 | (1) |
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506 | (1) |
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10.3 Waves Due to Meteorite Impact |
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507 | (6) |
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507 | (2) |
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10.3.2 Impulsive wave propagation on constant water depth |
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509 | (4) |
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10.4 Impulsive Waves Due to Glacier Calving |
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513 | (14) |
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513 | (2) |
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10.4.2 Ice column sliding into water with initial zero velocity |
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515 | (8) |
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10.4.2.1 Dynamics of the ice block motion |
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515 | (3) |
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10.4.2.2 Surface waves due to ice column sliding into water without impact |
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518 | (5) |
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10.4.3 Cylindrical ice block of small thickness impacting on water |
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523 | (4) |
11 Waves at Coral Reefs and Islands |
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527 | (26) |
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527 | (1) |
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11.2 Maximum Wave Height on Shoal Flat |
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528 | (2) |
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11.3 Waves Propagation on Steep Reef Slopes |
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530 | (4) |
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11.4 Sheltering of Surface Waves by Islands |
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534 | (8) |
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11.4.1 A brief orientation |
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534 | (1) |
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11.4.2 Scattering of waves by an isolated steep conical island |
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534 | (6) |
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11.4.2.1 Pure refraction solution |
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536 | (1) |
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11.4.2.2 Refraction-diffraction solution with dissipation |
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537 | (3) |
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11.4.3 Scattering of waves by a group of islands |
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540 | (2) |
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11.5 Interaction of Waves with Coral Reef Bottoms |
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542 | (11) |
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542 | (7) |
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11.5.2 Velocity field around coral |
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549 | (1) |
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11.5.3 Probability of coral dislodgement or persistence |
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550 | (3) |
12 Waves in Vegetated Coasts |
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553 | (20) |
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553 | (1) |
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12.2 Waves Transformation in Vegetated Coasts |
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554 | (3) |
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12.3 Waves in Mangrove Forests |
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557 | (12) |
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557 | (10) |
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12.3.2 Field observations |
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567 | (2) |
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12.4 Wave Damping by Seaweeds and Seagrasses |
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569 | (4) |
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12.4.1 Seaweeds influence on waves |
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569 | (1) |
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12.4.2 Seagrasses influence on waves |
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570 | (3) |
13 Wave-induced Pressure and Flow in a Porous Bottom |
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573 | (24) |
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573 | (2) |
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13.2 Wave-induced Pore Pressure in Sea Bottom |
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575 | (10) |
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13.2.1 Governing equations |
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575 | (4) |
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13.2.2 Boundary conditions |
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579 | (1) |
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580 | (1) |
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13.2.4 Soil completely saturated with water |
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580 | (1) |
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13.2.5 Soil saturated with a mixture of water and gas |
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581 | (1) |
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13.2.6 Velocities of groundwater circulation |
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582 | (1) |
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13.2.7 Experimental data on pore pressure |
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583 | (2) |
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13.3 Pore Pressure in Sea Bottom Due to Wave Set-up |
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585 | (4) |
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13.4 Spectral Properties of Wave-induced Pore Pressure |
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589 | (2) |
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13.5 Circulation in Permeable Rippled Bed |
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591 | (6) |
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591 | (1) |
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13.5.2 Circulation below the singular bottom form |
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592 | (5) |
14 Wave Observations and Long-term Statistics |
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597 | (30) |
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597 | (1) |
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597 | (5) |
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14.2.1 Visual wave observations |
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597 | (3) |
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14.2.2 Instrumental wave observations |
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600 | (2) |
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602 | (8) |
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14.3.1 A brief orientation |
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602 | (2) |
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604 | (1) |
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605 | (1) |
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606 | (1) |
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14.3.5 Wave climate in some local seas |
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607 | (3) |
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14.4 Long-term Statistics of Sea Severity |
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610 | (17) |
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14.4.1 Long-term distributions of wave heights |
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610 | (9) |
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14.4.2 Probability distributions of extreme waves |
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619 | (6) |
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14.4.3 Goodness of fit tests and confidence intervals |
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625 | (2) |
15 Wave Measurement Techniques |
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627 | (18) |
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627 | (1) |
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15.2 A Single Point Wave Data |
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628 | (10) |
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15.2.1 Laboratory measurements |
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628 | (3) |
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15.2.1.1 Resistance wave gauges |
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628 | (1) |
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15.2.1.2 Capacitance wave gauges |
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628 | (1) |
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15.2.1.3 Pressure transducers |
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628 | (3) |
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15.2.2 Field measurements |
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631 | (5) |
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631 | (1) |
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631 | (3) |
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15.2.2.3 Acoustic Doppler current profiler (ADCP) |
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634 | (2) |
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15.2.3 Measurement of wave directionality |
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636 | (2) |
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15.3 Remote Sensing Techniques |
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638 | (7) |
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15.3.1 A brief orientation |
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638 | (1) |
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15.3.2 Application of satellite altimetry |
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638 | (2) |
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15.3.3 Application of satellite Synthetic Aperture Radar |
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640 | (5) |
16 Data Processing and Simulation Techniques |
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645 | (28) |
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645 | (1) |
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16.2 Data Processing Methods |
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646 | (22) |
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16.2.1 Spectral characteristics of surface waves |
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646 | (6) |
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646 | (1) |
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16.2.1.2 Standardisation of data, trend removal and filtering |
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647 | (2) |
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16.2.1.3 Determination of frequency spectra |
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649 | (3) |
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16.2.2 Directional spread and directional wave spectra |
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652 | (14) |
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16.2.2.1 Directional spread |
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652 | (1) |
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16.2.2.2 Fourier Expansion Method |
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653 | (4) |
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16.2.2.3 Maximum Entropy Method |
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657 | (5) |
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16.2.2.4 Maximum Likelihood Method |
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662 | (2) |
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16.2.2.5 Comparison of various analytical techniques |
|
|
664 | (2) |
|
16.2.3 Short information on estimation of the statistical wave characteristics |
|
|
666 | (2) |
|
16.3 Numerical Simulation Techniques |
|
|
668 | (5) |
|
|
668 | (1) |
|
16.3.2 Simulation of random sea with random phase only |
|
|
669 | (2) |
|
16.3.3 Simulation of random sea with random amplitudes |
|
|
671 | (2) |
Bibliography |
|
673 | (68) |
Author Index |
|
741 | (20) |
Subject Index |
|
761 | (8) |
Colour Plates |
|
769 | |