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INDEX

Altimetry, satellite 35-38 Amphidrom 19, 20, 22-24, 26, 41,

118-120, 122, 137, 138-141, 143, 148, 149, 164, 168, 169, 176, 192, 194

degenerate 22, 99, 122, 137, 169, 194 false 22, 24

Antinodal area 22, 24, 41,137,169 Antiresonance 28, 29 A-priori estimates 51-56

Boundary layer bottom 46, 235-308 Stokes 236-238, 249, 298

Chart, cotidal18, 19,24, 135 Constant, Doodson's 6, 229 Correction, Darwin's 7 Critical Reynolds number, 235, 237, 239,

242-244

Depth, resonance 129, 131, 132 Diffusion, turbulent energy 268, 276,

280,285,290,291 Dispersion of the waves 117 Dissipation,

tidal energy 26, 158, 172, 173, 178, 207-232

turbulent energy 240, 260, 268, 280, 290,294

Effect crustal loading 13, 15, 45, 92, 187,

189,196,207,219,228 self-attraction 13, 15,45,92, 187, 189,

196,207,219,228 (static) of the terrestrial tides 14, 184,

196,202 Equation

for tidal energy 205-207 turbulent energy 275, 276, 281, 284,

286,291,292

Factor gravimetric 39, 207 Love's reduction 175

Force attraction I, 2, 4, 12 Coriolis2,3,43,109, 121, 150,271 friction I, 4, 44, 91, 128, 158, 206,

208,215,216,227 gravity 2, 3 hydrostatic pressure 3, 205, 215, 216 tide-generating I, 3,4, 14,26, 39, 136,

175,206

Harmonics, spherical sectorial 6 tesseral6 zonal 6

Interaction, ocean and terrestrial tides 184-204,206,228

Intermittence of turbulence 254, 262

Lag angle of terrestrial tides 213, 230, 231

Latitude, critical 116 Law

power of -5/3 259, 261 resistance (linear) 91, 96, 160, 166,

170,185 resistance (quadratic) 46, 158,

295-308 velocity defect 299,300,301

Layer, logarithmic 247, 250, 251, 263, 270,278,284,289,298

Mean level of the ocean 35

Noise, tidal 11, 27, 28, 112 Number

Ekman's 267, 278 Love's 12, 14 Reynolds' (surface) 246

326

Number (contd.) Rossby 266, 278, 299, 302, 306, 307

Parallax, equatorial 3 Parameter

Lamb's 93 noda1l1, 12 roughness 246--248, 299, 303

Parameterization, shelf effect 152-164 Period

astronomic 8, 9 free solid Earth oscillations 12 free ocean oscillations 19, 104-107

Perturbations, satellite orbit 30-35 Polarization of the waves 116 Potential

additive 12-17,30,31,88 attraction force 11 tidal 4-15, 31, 129 tidal gravitational 14, 206, 213

Problem, spectral 100 Production, turbulent energy 268

Quality factor 152,214,215

Radiation, shelf 151, 152 Radius, Rossby deformation 120 Ratio, Rayleigh's 88-92 Reflection

complete 124, 153 multiple 151 net 164

Resonance 26, 28, 29, 134, 151, 156, 164, 169, 183

Solvability 61-87, 182-184 Space, functional 47, 88 Spectrum

free oscillations 107-111 sea level oscillations 266 tidal potential 9 velocity 252, 253, 259-261

Stress, Reynolds' 249,259,261-264 Structure of turbulence 264, 265

Index

Sublayer, viscous 244, 245, 272, 280, 283,301

Surface, equipotential 7

Theorem existence 57-61 Squire's 237, 238 uniqueness 49-51

Tidal deformations of the solid Earth 12-15,31

evolution of the Moon-Earth system 229-233

Laplace's operator 88, 98, 101 measurements

deep water pressure 18, 19,23 gravimetric 39-41, 198 satellite 29-38 standard 18, 19, 135, 196

Tides atmospheric 45, 226--229 diurnal 6, 24-26, 129, 130, 131, 141,

142 equilibrium 7, 27, 130, 134,200,229 independent 160, 161 forced 43, 160, 161 long-period 16, 26,27,129,142,143 self-consistent equilibrium 14, 15, 44,

184 semi-diurnal 7, 20-23, 28, 129, 130,

131,137-139,176 terrestrial 12, 33, 34,40, 192,

194-199,206,213,217,230 Time

ephemeris 8, 209, 210 mean lunar 6, 8 mean solar 6, 8 siderea18

Torque, tidal forces 208, 209 Trapping of the waves 135, 151, 153, 154

Waves edge 173 intemal224-227, 229 gravitational 42, 94, 104, 109

Index

Waves (contd.) Kelvin 94, 95, 99, 118-122, 126, 154,

166-170 Poincare 122-126, 154, 166-167 progressive 153, 155

resonant 19 Rossby 94, 95, 104, 112 standing 19, 99 Sverdrup 114-118, 124, 125

327