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solution) endobj 28 0 obj <> endobj 31 0 obj (1.5.1 Numerical study) endobj 32 0 obj <> endobj 35 0 obj (1.5.2 Experimental study) endobj 36 0 obj <> endobj 39 0 obj (1.6 Layout of thesis) endobj 40 0 obj <> endobj 43 0 obj (1.7 Achievements) endobj 44 0 obj <> endobj 47 0 obj (2 Theoretical Background) endobj 48 0 obj <> endobj 51 0 obj (2.1 Introduction) endobj 52 0 obj <> endobj 55 0 obj (2.2 Governing equations) endobj 56 0 obj <> endobj 59 0 obj (2.3 Boundary conditions and analytical solutions) endobj 60 0 obj <> endobj 63 0 obj (2.3.1 Linear regular wave theory) endobj 64 0 obj <> endobj 67 0 obj (2.3.2 The boundary condition on a moving rigid body) endobj 68 0 obj <> endobj 71 0 obj (2.3.3 Wave maker theory) endobj 72 0 obj <> endobj 75 0 obj (2.4 The Boundary Element Method) endobj 76 0 obj <> endobj 79 0 obj (2.4.1 Boundary integral equation) endobj 80 0 obj <> endobj 83 0 obj (2.4.2 Double nodes) endobj 84 0 obj <> endobj 87 0 obj (2.4.3 Discontinuous elements) endobj 88 0 obj <> endobj 91 0 obj (2.4.4 Multiple-flux BEM) endobj 92 0 obj <> endobj 95 0 obj (2.5 Calculating force and body motion) endobj 96 0 obj <> endobj 99 0 obj (2.5.1 Backwards finite difference) endobj 100 0 obj <> endobj 103 0 obj (2.5.2 The Isaacson Method) endobj 104 0 obj <> endobj 107 0 obj (2.5.3 Acceleration potential) endobj 108 0 obj <> endobj 111 0 obj (2.5.4 The Indirect Method) endobj 112 0 obj <> endobj 115 0 obj (2.6 Conclusions) endobj 116 0 obj <> endobj 119 0 obj (3 Model validation) endobj 120 0 obj <> endobj 123 0 obj (3.1 Introduction) endobj 124 0 obj <> endobj 127 0 obj (3.2 Validation of forced motions) endobj 128 0 obj <> endobj 131 0 obj (3.2.1 Wave maker theory) endobj 132 0 obj <> endobj 135 0 obj (3.2.2 Radiation of a rectangular body) endobj 136 0 obj <> endobj 139 0 obj (3.3 Validation of force calculations) endobj 140 0 obj <> endobj 143 0 obj (3.3.1 The numerical domain) endobj 144 0 obj <> endobj 147 0 obj (3.3.2 Comparison of forces) endobj 148 0 obj <> endobj 151 0 obj (3.4 Validation of the hydrodynamic properties) endobj 152 0 obj <> endobj 155 0 obj (3.4.1 Experimental setup) endobj 156 0 obj <> endobj 159 0 obj (3.4.2 Comparison of decay tests) endobj 160 0 obj <> endobj 163 0 obj (3.5 Validation of wave-induced motion) endobj 164 0 obj <> endobj 167 0 obj (3.5.1 Heave only motion) endobj 168 0 obj <> endobj 171 0 obj (3.5.2 Pitch only motion) endobj 172 0 obj <> endobj 175 0 obj (3.6 Conclusions) endobj 176 0 obj <> endobj 179 0 obj (4 Two-dimensional analysis of fixed bodies in close proximity) endobj 180 0 obj <> endobj 183 0 obj (4.1 Introduction) endobj 184 0 obj <> endobj 187 0 obj (4.2 Background) endobj 188 0 obj <> endobj 191 0 obj (4.3 The numerical model) endobj 192 0 obj <> endobj 195 0 obj (4.3.1 The numerical wave tank) endobj 196 0 obj <> endobj 199 0 obj (4.3.2 Numerical results) endobj 200 0 obj <> endobj 203 0 obj (4.4 Single fixed body of finite draft) endobj 204 0 obj <> endobj 207 0 obj (4.5 Two fixed bodies in close proximity) endobj 208 0 obj <> endobj 211 0 obj (4.5.1 Definition of cases) endobj 212 0 obj <> endobj 215 0 obj (4.5.2 The effect of incident wave frequency) endobj 216 0 obj <> endobj 219 0 obj (4.5.3 The effect of gap width) endobj 220 0 obj <> endobj 223 0 obj (4.5.4 The effect of the LNG beam) endobj 224 0 obj <> endobj 227 0 obj (4.5.5 The effect of draft) endobj 228 0 obj <> endobj 231 0 obj (4.5.6 The effect of transmission) endobj 232 0 obj <> endobj 235 0 obj (4.5.7 Summary of resonance frequency results) endobj 236 0 obj <> endobj 239 0 obj (4.6 The validity of the fixed-body simplification) endobj 240 0 obj <> endobj 243 0 obj (4.6.1 The first harmonic wave field) endobj 244 0 obj <> endobj 247 0 obj (4.6.2 The first harmonic body motion) endobj 248 0 obj <> endobj 251 0 obj (4.6.3 The nonlinear wave field within the gap) endobj 252 0 obj <> endobj 255 0 obj (4.7 Conclusions) endobj 256 0 obj <> endobj 259 0 obj (5 Three-dimensional analysis of fixed bodies) endobj 260 0 obj <> endobj 263 0 obj (5.1 Introduction) endobj 264 0 obj <> endobj 267 0 obj (5.2 The multiple-flux boundary element method) endobj 268 0 obj <> endobj 271 0 obj (5.2.1 Governing equations) endobj 272 0 obj <> endobj 275 0 obj (5.2.2 Boundary conditions) endobj 276 0 obj <> endobj 279 0 obj (5.2.3 Discretisation) endobj 280 0 obj <> endobj 283 0 obj (5.2.4 Time-marching the solution) endobj 284 0 obj <> endobj 287 0 obj (5.2.5 Outputs) endobj 288 0 obj <> endobj 291 0 obj (5.3 Validation of the 3D wave field surrounding a fixed body) endobj 292 0 obj <> endobj 295 0 obj (5.3.1 Comparisons to theoretical solutions for a semi-infinite breakwater) endobj 296 0 obj <> endobj 299 0 obj (5.3.2 Comparisons to experimental data involving a bottom-mounted GBS) endobj 300 0 obj <> endobj 303 0 obj (5.4 3D wave interaction with fixed bodies) endobj 304 0 obj <> endobj 307 0 obj (5.4.1 Wave field surrounding a single fixed body) endobj 308 0 obj <> endobj 311 0 obj (5.4.2 The effect of a second body in close proximity) endobj 312 0 obj <> endobj 315 0 obj (5.4.3 The effect of gap width) endobj 316 0 obj <> endobj 319 0 obj (5.5 Conclusions) endobj 320 0 obj <> endobj 323 0 obj (6 An experimental study of the effect of vessel motion on the surface elevation in the gap between two bodies) endobj 324 0 obj <> endobj 327 0 obj (6.1 Introduction) endobj 328 0 obj <> endobj 331 0 obj (6.2 Experimental setup) endobj 332 0 obj <> endobj 335 0 obj (6.3 Regular wave results) endobj 336 0 obj <> endobj 339 0 obj (6.3.1 Beam-sea cases) endobj 340 0 obj <> endobj 343 0 obj (6.3.2 Head-sea cases) endobj 344 0 obj <> endobj 347 0 obj (6.4 Focused wave events) endobj 348 0 obj <> endobj 351 0 obj (6.5 Random sea states) endobj 352 0 obj <> endobj 355 0 obj (6.6 Conclusions) endobj 356 0 obj <> endobj 359 0 obj (7 An experimental study of alternative side-by-side offloading configurations) endobj 360 0 obj <> endobj 363 0 obj (7.1 Introduction) endobj 364 0 obj <> endobj 367 0 obj (7.2 Experimental study) endobj 368 0 obj <> endobj 371 0 obj (7.3 Surface elevation within the gap) endobj 372 0 obj <> endobj 375 0 obj (7.3.1 The effect of incident wave frequency) endobj 376 0 obj <> endobj 379 0 obj (7.3.2 The effect of the second body) endobj 380 0 obj <> endobj 383 0 obj (7.3.3 The effect of orientation) endobj 384 0 obj <> endobj 387 0 obj (7.3.4 The effect of wave steepness) endobj 388 0 obj <> endobj 391 0 obj (7.4 Vessel motion) endobj 392 0 obj <> endobj 395 0 obj (7.4.1 The effect of the second body) endobj 396 0 obj <> endobj 399 0 obj (7.4.2 The effect of wave excitation within the gap) endobj 400 0 obj <> endobj 403 0 obj (7.5 Surface elevation in the upwave region) endobj 404 0 obj <> endobj 407 0 obj (7.6 Conclusions) endobj 408 0 obj <> endobj 411 0 obj (8 Concluding remarks) endobj 412 0 obj <> endobj 415 0 obj (8.1 Introduction) endobj 416 0 obj <> endobj 419 0 obj (8.2 Work undertaken) endobj 420 0 obj <> endobj 423 0 obj (8.3 Physical insights) endobj 424 0 obj <> endobj 427 0 obj (8.4 Further work) endobj 428 0 obj <> endobj 431 0 obj (8.4.1 Numerical modelling) endobj 432 0 obj <> endobj 435 0 obj (8.4.2 Experimental studies) endobj 436 0 obj <> endobj 439 0 obj (8.4.3 Practical guidance) endobj 440 0 obj <> endobj 443 0 obj (8.4.4 Wider applications) endobj 444 0 obj <> endobj 447 0 obj (9 Appendices) endobj 448 0 obj <> endobj 450 0 obj <>stream JFIFHH1ExifMM*nv(1~2<i ' 'Adobe Photoshop CS3 Windows2009:10:07 10:07:27Mac OS X 10.5.80220FN(V/HHJFIFHH Adobe_CMAdobed            " ?   3!1AQa"q2B#$Rb34rC%Scs5&DTdE£t6UeuF'Vfv7GWgw5!1AQaq"2B#R3$brCScs4%&5DTdEU6teuFVfv'7GWgw ?TI%8]:oL`*_ah~SgǹpgG`uw\֌Z .qƴ6s_Fy 666]}j jn|;$D oO}g c7?sȷҳ:zbݵu{NEza76pp%Uc[N;Uŗt&R,u5}e6g9?Jr֗",ǯK7˂<$Q/_cysF\ t;E{=?vp%\>01\]65{[x3.h}e>ݧձ~sY-R;Xכi=20}:f?G> *D`Iͫ:>j?6/XRZc.u!&ޚ^گCmn!ۛѺ[7=M?A7Wf%xA>\A Tx7:3O%s ̿JQz[KvkZI2ϧ_k*7~^NMuΪӶݯo;߹vE¬[u>\݀ƹ>띳_?5c9𲵥c)Ů6$ӹA׳+Ñ88ݧѪϩnʳ[Y&7ٌѰ8Ģ߰%h?:#խۮ0qce԰dm<<Ƿ'>)*.R$t͵CS#ul3s]n6, 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