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Offshore and Coastal Modelling


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English
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✦ Synopsis


About The Product

Published by the American Geophysical Union as part of the Lecture Notes on Coastal and Estuarine Studies Series

The papers contained in this volume were presented orally at the seventh POLYMODEL conference, held at Sunderland Polytechnic in the United Kingdom in May 1984 and sponsored by Barclays Bank PLC and Imperial Chemical Industries Ltd. The conferences are organised annually by the North East of England Polytechnic's Mathematical Modelling and Computer Simulation Group - POLYMODEL. The Group is a non-profit making organisation based on the mathematics department of the three polytechnics in the region and has membership drawn from those educational institutions and from regional industry. Its objective is to promote research and collaboration in mathematical and computer-based modelling.

Content:
Chapter 1 Modelling in Offshore and Coastal Engineering (pages 1–2): P.P.G. Dyke
Chapter 2 Tides, Storm Surges and Coastal Circulations (pages 3–54): N. S. Heaps
Chapter 3 Modelling Storm Surge Current Structure (pages 55–81): A. M. Davies
Chapter 4 Optimally Controlled Hydrodynamics for Tidal Power from the Severn Estuary (pages 83–92): S.C. Ryrie
Chapter 5 Numerical Modelling of Storm Surges in River Estuaries (pages 93–108): E.H. Twizell
Chapter 6 Coastal Sediment Modelling (pages 109–136): B.A. O'Connor
Chapter 7 The Application of Ray Methods to Wave Refraction Studies (pages 137–164): I.M. Townend and I.A. Savell
Chapter 8 A Model for Surface Wave Growth (pages 165–185): A.J. Croft
Chapter 9 Power Take?Off and Outpot from the Sea?Lanchester Clam Wave Energy Device (pages 187–199): F.P. Lockett
Chapter 10 Numerical Modelling of Ilfracombe Seawall (pages 201–218): P. Hewson and P. Blackmore
Chapter 11 Modelling the Plan Shape of Shingle Beaches (pages 219–234): A.H. Brampton and J.M. Motyka
Chapter 12 Mathematical Modelling Applications for Offshore Structures (pages 235–251): P. J. Cookson
Chapter 13 Mathematical Model of a Marine Hose?String at a Booy: Part 1 ? Static Problem (pages 251–277): M.J Brown
Chapter 14 Mathematical Model of a Marine Hose?String at a Buoy Part 2 ? Dynamic Problem (pages 279–301): M.J. Brown
Chapter 15 The Design of Catenary Mooring Systems for Offshore Vessels (pages 303–322): A.K. Brook
Chapter 16 Some Problems Involving Umbilicals, Cables and Pipes (pages 323–352): D.G. Simmonds
Chapter 17 Mathematical Modelling in Offshore Corrosion (pages 353–376): A. Turnbull
Chapter 18 Fatigue Crack Growth Predictions in Tubular Welded Joints (pages 377–393): S. Dharmavasan

✦ Table of Contents


Title Page
......Page 2
Copyright
......Page 3
Preface
......Page 4
Contents
......Page 5
1. Modelling in Offshore and Coastal Engineering
......Page 10
2 .2 Tides and Tidal Currents
......Page 12
2.3 North Sea Storm Surges......Page 19
2.4 Two-Dimensional Numerical Storm-Surge Models
......Page 24
2.5 Surge Forecasting......Page 35
2.6 Three-Dimensional Models
......Page 49
2.7 Vertical Structure of Current
......Page 51
References......Page 61
3.2 Spectral Model Formulation......Page 64
3.3 Form of Vertical Eddy Viscosity
......Page 67
3.4 A Three Dimensional Simulation Model of Surge Currents on the North-West European Shelf
......Page 74
3.5 A Mechanistic Model of wind Induced Current Profiles
......Page 80
3.6 Concluding Remarks......Page 86
References......Page 88
4 .2 Hydrodynamics......Page 91
4.3 Optimal Control......Page 93
References......Page 100
5 .2 Points to Note in Modelling
......Page 101
5.3 The Aims of A Mathematical Model of Storm Surges
......Page 103
5.4 The Differential Equations of the Model
......Page 106
5.5 Computational Aspects......Page 110
5.6 Numerical Results : The Storm of 1953
......Page 113
5.7 Summary......Page 115
References......Page 116
6. 2 Need for Computer Models
......Page 117
6.3 Model Types......Page 119
6.4 Conclusions......Page 140
References......Page 141
7.1 Introduction......Page 145
7.2 Ray Models......Page 147
7.3 Application of the Ray Model, A Simple Case
......Page 154
7.4 A Study Including Wave Breaking......Page 162
7.5 A Study Including Diffraction and Reflection
......Page 169
7.6 Future Developments......Page 171
References......Page 172
8.1 Introduction......Page 173
8.2 Formulation of the Problem
......Page 174
8.3 First Order Solution......Page 178
8.4 Second Order Solution......Page 180
8.5 Third Order Solution......Page 181
8.6 Wind Shear Stress......Page 187
8.7 Conclusions......Page 192
References......Page 193
9. 2 Experimental Tests......Page 194
9.3 Power Take-Off Simulation
......Page 195
Acknowledgements......Page 205
References......Page 206
10.2 Finite Element Modelling of Ilfracombe Seawall
......Page 207
10.3 The Need for a Finite Element Model Approach
......Page 208
10.4 Conclusions......Page 221
References......Page 224
11.1 Introduction......Page 225
11.2 General Considerations when Modelling Beach Changes
......Page 227
11.3 Derivation of an Alongshore Transport Formula
......Page 231
11.4 Incipient Motion of Shingle
......Page 234
11.5 Discussion......Page 237
11.6 Conclusions......Page 238
References......Page 239
13.1 Introduction......Page 242
13.2 Assumptions......Page 245
13.3 Equations......Page 246
13.4 Boundary Conditions......Page 247
13.6 The Load......Page 248
13.7 Method of Solution
......Page 250
13.8 Analytical Solutions for Simplified Models
......Page 252
13.9 Results......Page 253
13.10 Application......Page 259
Acknowledgements......Page 265
References......Page 266
14.2 Equation of Motion
......Page 269
14.3 Boundary Conditions......Page 271
14.4 Method of Solution
......Page 272
14.5 Flanges......Page 274
14.6 Comparison of Analytical and Numerical Results
......Page 278
14.7 Numerical Results......Page 279
14.8 Conclusions......Page 288
Acknowledgements......Page 289
References......Page 290
15.1 Introduction......Page 292
15.2 Representation of the Environment......Page 294
15.3 Mathematical Model of Moored Vessel......Page 296
15.4 Calculation of Environmental Forces and Moments......Page 297
15.5 Calculation of Mooring Forces and Moments......Page 303
15.6 Static Analysis......Page 308
Acknowledgements......Page 309
References......Page 311
16.2 The Statics of Cables and Pipes......Page 312
16.3 Hydrodynamic Forces......Page 318
16.4 Analytical Solutions......Page 322
16,5 Typical Problems and Numerical Solutions......Page 327
16.6 Final Comments......Page 337
References......Page 340
17.1 Introduction......Page 342
17.2 General Mass Transport Theory......Page 344
17.3 Mathematical Modelling of the Electrochemistry in Cracks......Page 345
17.4 Mathematical Modelling Cathodic Protection Offshore......Page 360
17.5 Mathematical Modelling of Crevice Corrosion and Protection......Page 361
17.6 Mathematical Modelling of Corrosion in Concrete......Page 362
17.7 Conclusions......Page 363
References......Page 364
18.2 Fatigue Crack Growth Behaviour of Tubular Joints......Page 366
18.3 Theoretical Analysis of Crack Growth......Page 374
Acknowledgements......Page 381
References......Page 382
Index......Page 383


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