Practical aspects of computational river hydraulics

목차 (Table of Contents)

• CONTENTS
• Acknowledgements
• List of symbols
• 1 Introduction = 1
• 2 Mathematical formulation of physical processes = 7
• 2.1 Equations of one-dimensional unsteady open channel flow = 7
• Basic hypotheses = 7
• Integral relations = 9
• Differential form of the de St Venant equations = 13
• Supplementary terms and coefficients = 18
• 2.2 Characteristics - boundary and initial conditions = 24
• Boundary data requirements = 29
• 2.3 Discontinuous solutions - bores = 37
• 2.4 Simplified channel flow equations = 44
• Effect of neglecting the inertia terms = 45
• Effect of neglecting the inertia terms and the ∂h／∂x term = 46
• Steady flow equations = 48
• 2.5 Representation of special flow conditions = 48
• Localized inapplicability of the channel flow equations = 49
• Quasi two-dimensional flow = 53
• 3 Solution techniques and their evaluation = 53
• 3.1 Discretization and solution of flow relationships = 53
• Numerical solution by the method of characteristics = 54
• Numerical solution by the method of finite differences = 59
• Some finite difference schemes = 62
• Discretization of boundary conditions = 72
• Discretization of the quasi-two-dimensional flow equations = 75
• 3.2 Linear analysis of the validity of discretization = 77
• Convergence and approximation error = 77
• Numerical stability = 80
• Amplitude and phase portraits = 86
• 3.3 Discretization of non-linear terms and coefficients = 92
• Verwey's variant of the Preissmann scheme = 96
• Abbott - Ionescu scheme = 97
• Comments = 98
• 3.4 Algorithmic aspects of modelling systems = 103
• Iterative matrix methods = 105
• Double sweep methods = 106
• 3.5 Computational principles of steep front simulation = 121
• Shock fitting method = 122
• Pseudoviscosity method = 124
• Through methods = 126
• 3.6 Representation of topographic and hydraulic data = 128
• 4 Flow simulation in natural rivers = 132
• 4.1 Introductory remarks = 132
• 4.2 Choice of equations for channel flow = 135
• 4.3 One-dimensional and two-dimensional modelling = 138
• 4.4 Topological discretization = 143
• 4.5 Hydraulic discretization = 159
• 4.6 Some computational problems in river and flood plain flow simulation = 175
• Small depths = 175
• Weir oscillations = 178
• Flooded weir linearization = 180
• Steady flow calculations = 181
• 4.7 Concluding remarks = 184
• 5 Model calibration and data needs = 185
• 5.1 Model calibration = 185
• Steady flow = 186
• Unsteady flow = 193
• Example : calibration of the Senegal Valley model = 208
• Example : calibration of the upper Rhone model = 216
• Accuracy of calibration = 222
• 5.2 Data needs = 225
• General remarks = 225
• Topographic data = 228
• Hydraulic data = 230
• 6 Modelling of flow regulation in irrigation canals and power cascades = 233
• 6.1 Flow control in irrigation and water supply canals = 233
• 6.2 Surges in power canals = 242
• 6.3 Flow and energy production control in power cascades on canalized rivers = 253
• 6.4 Computational and modelling considerations = 260
• Modelling of discontinuous fronts = 260
• Modelling of transitions and control structures = 263
• Example of gate simulation = 265
• 7 Movable bed models = 271
• 7.1 The role of movable bed mathematical models in engineering practice = 271
• 7.2 Basic hypotheses and formulation of equations = 273
• 7.3 Boundary conditions in movable bed modelling = 278
• 7.4 Data requirements = 280
• 7.5 Mathematical analysis of the equations = 281
• Full unsteady flow equations = 281
• Simplified system of unsteady flow equations = 282
• 7.6 Numerical solutions = 287
• Full system of three equations = 287
• Simplified system of two equations = 291
• 7.7 Models of alluvial channel resistance = 295
• Physical aspects = 295
• Energy line gradient formulation = 298
• Solid transport formulation = 298
• Examples of application = 299
• 7.8 Criteria involved in choosing a modelling method = 307
• Factors linked to the physical phenomena simulated = 308
• Factors linked to numerical methods = 309
• 8 Transport of pollutants = 312
• 8.1 Introduction = 312
• 8.2 The dispersion process = 313
• 8.3 One-dimensional dispersion modelling = 318
• 8.4 Evaluation of the longitudinal mixing coefficient = 319
• 8.5 Numerical solution of the one-dimensional convection equation = 320
• 8.6 Numerical solution of the one-dimensional diffusion equation = 331
• 8.7 Example of one-dimensional dispersion modelling - the Vienne river = 333
• 8.8 Two-dimensional dispersion modelling = 336
• 8.9 Example : simulation of two-dimensional dispersion in the Missouri river from a continuous source = 340
• 8.10 Example : simulation of one-dimensional dispersion in Clinch river = 343
• 8.11 Estimating the transverse distribution of longitudinal velocity = 346
• 8.12 Conclusions = 349
• 9 Special applications = 350
• 9.1 Flood forecasting and prediction = 350
• Strategy for implementation of forecasting models = 354
• Particular calibration and sensitivity study problems = 356
• 9.2 Simulation of dam break waves = 357
• Physical description of the phenomenon and governing equations = 357
• Computational problems = 360
• 9.3 Unsteady flow modelling in storm drain networks = 365
• Pressurized flow = 366
• Backflow from junctions = 368
• Backwater effects = 368
• Small depths = 368
• Looped networks = 369
• Hydraulic works = 370
• 10 Costs, benefits and quality = 372
• 10.1 Cost／benefit and cost／quality ratios = 372
• 10.2 Factors affecting the cost of a mathematical model = 374
• Algorithm and software development = 374
• Preliminary study = 375
• Adaptation of existing software to the project's particular features = 376
• Construction of the model = 377
• Supplementary surveys and measurements = 378
• Model calibration = 378
• Model exploitation and interpretation of results = 379
• Transfer of models = 380
• 10.3 Quality of a model = 380
• Differential equations = 382
• Finite difference operator = 383
• Solution algorithm and treatment of special features = 383
• Data input and output = 384
• Simulation of observed situations = 384
• 10.4 Modeller-user relationship = 384
• 10.5 Examples of cost of mathematical models = 385
• Upper Nile basin = 385
• Mekong River Delta = 386
• 11 Transfer of mathematical models = 391
• 11.1 Introduction = 391
• 11.2 Modeller-user relationship = 392
• 11.3 Computer and operating system problems = 396
• 11.4 Trained personnel problems = 397
• 11.5 Examples of transfer operations = 399
• The transfer of the Mekong Delta mathematical model from Grenoble to Bangkok = 399
• The transfer of the Senegal River model from Grenoble to Dakar = 403
• References = 407
• Index = 417