Preface |
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Acknowledgements |
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List of main symbols |
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1 Introduction |
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2 Theoretical background - mathematics |
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2.1 Ordinary differential equations |
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6 | |
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2.2 Partial differential equations and their classification |
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15 | |
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2.3 Dispersion and dissipation in hyperbolic linear equations |
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2.4 Parabolic and elliptical equations, diffusion, quasilinearity and systems of equations |
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2.5 Initial and boundary conditions for partial differential equations: existence and uniqueness |
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2.7 The influence of initial and boundary conditions on a solution: characteristics, domains of dependence and determinacy, and the d'Alembert solution |
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2.8 The method of characteristics and a non-linear first-order equation |
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33 | |
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2.9 Discontinuous solutions and conservation laws |
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34 | |
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2.10 The classification of quasilinear and semilinear systems, hyperbolic systems and characteristics |
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39 | |
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2.11 A fundamental difference between elliptical and hyperbolic equations |
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2.12 The derivation of a mathematical model involving partial differential equations the shallow-water equations |
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Eigenvalues, eigenvectors, and an application of matrix diagonalization |
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3 Numerical techniques used in hydraulic modelling |
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3.2 Solving large sets of algebraic equations |
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3.3 The numerical solution of ordinary differential equations |
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3.4 Two-point boundary-value problems |
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3.5 The numerical solution of partial differential equations |
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4 Theoretical background hydraulics |
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4.2 Some basic concepts and equations in hydrodynamics |
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4.3 Hydraulics basic concepts, boundary layer, turbulence |
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4.5 Introduction to ocean wave motion |
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4.6 Environmental processes hydrodynamic factors, sediment mechanics, water quality and airwater flows |
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5 Development of physical models |
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5.4 Basic concepts and definitions in the theory of similarity |
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5.5 General law of mechanical similarity in hydrodynamics |
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5.6 Approximate mechanical (dynamic) similarity |
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5.7 The main similarity laws |
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5.8 Some further dimensionless numbers and limits of similarity |
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5.9 Methods of modelling complex phenomena |
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6 Tools and procedures |
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6.1 Laboratory installations |
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6.2 Physical models types, construction, materials |
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6.3 Laboratory measuring methods and instrumentation |
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6.4 Mathematical models tools |
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6.5 Procedures during work with models |
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7 Modelling of open-channel systems |
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7.2 Mathematical description of open-channel processes |
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7.3 Computational models of open-channel flow |
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7.5 Physical models of open-channel flow |
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8 Environmental modelling of open-channel systems |
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8.2 Computational models of transport of dissolved matter |
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317 | |
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8.3 Computational models of morphological processes |
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8.4 Models of water-quality processes |
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8.5 Physical models of morphological processes |
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9 Modelling of closed-conduit flow |
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9.2 Computational models of quasi-steady closed-conduit flow |
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9.3 Computational models of pipe transients |
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9.4 Physical modelling of closed-conduit flow |
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10 Modelling of urban drainage systems |
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392 | |
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10.2 Governing equations of urban drainage systems |
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10.3 Solution behaviour initial and boundary conditions |
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10.4 Numerical solution techniques |
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11 Modelling of estuaries |
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11.2 Hydrodynamic equations |
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11.3 One-dimensional modelling of estuaries |
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11.4 Two- and three-dimensional modelling of estuaries |
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11.5 Environmental modelling of estuaries and lakes |
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11.6 Physical modelling of estuaries |
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12 Modelling of coastal and nearshore structures and processes |
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12.2 Physics and processes |
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12.3 Computational modelling |
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12.5 Practical modelling aspects and case studies |
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13 Modelling of hydraulic structures |
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13.2 Physics and processes |
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13.3 Physical (hydraulic) modelling |
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557 | |
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13.4 Mathematical modelling |
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569 | |
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571 | |
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581 | |
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Author index |
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586 | |
Subject index |
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592 | |