Basic Equations of Marine Flows / Knut Klingbeil Eric Deleersnijder Oliver Fringer Lars Umlau
Water Waves in Isotropic and Anisotropic Media: A comparison / Leo R. M. Maas
A Review of Nonlinear Boussinesq-Type Models for Coastal Ocean Modeling / Clint Dawson Ali Samii
Tides in Coastal Seas. Influence of Topography and Bottom Friction / Pieter C. Roos Huib E. de Swart
Variational Water-Wave Modeling: From Deep Water to Beaches / Onno Bokhove
Quasi-2D Turbulence in Shallow Fluid Layers / Herman J. H. Clercx
Turbulent Dispersion / Benoit Cushman-Roisin
Spreading and Mixing in Near-Field River Plumes / Robert D. Hetland
Lagrangian Modelling of Transport Phenomena Using Stochastic Differential Equations / Arnold Heemink Eric Deleersnijder Syed Hyder Ali Muttaqi Shah Ulf Gräwe
Morphodynamic Modelling in Marine Environments: Model Formulation and Solution Techniques / H. M. Schuttelaars T. J. Zitman
Wetting and Drying Procedures for Shallow Water Simulations / Sigrun Ortleb Jonathan Lambrechts Tuomas Kärnä.

Intro
Preface
Contents
Contributors
1 Basic Equations of Marine Flows
1.1 Mathematical Description of Fluids
1.1.1 Fluids as Continuous Media
1.1.2 Integral and Differential Formulations
1.1.3 Averaging of Turbulent Flows
1.2 Governing Equations
1.2.1 Volume Conservation
1.2.2 Salt Conservation
1.2.3 Heat Balance
1.2.4 Momentum Balance
1.2.5 Common Formulations and Closures
1.3 Summary
References
2 Water Waves in Isotropic and Anisotropic Media: A comparison
2.1 Introduction
2.2 Gravity Waves

2.2.1 Surface Gravity Waves in Homogeneous Fluids
2.2.2 Gravity Waves in Heterogeneous Media
2.3 Inertial Waves
2.3.1 Waves in Shear Flows
2.3.2 Waves in Rotating Basins
2.3.3 Three-dimensional Effects
2.4 Discussion
2.4.1 The Linear Shear Flow as `Problematic' Equilibrium
2.4.2 Waves in Anisotropic Media
2.4.3 Mixing Due to Wave Focusing and Mean Flows
2.5 Conclusion
References
3 A Review of Nonlinear Boussinesq-Type Models for Coastal Ocean Modeling
3.1 Introduction
3.2 The Water Wave Problem
3.2.1 Dispersive Properties of the Linear Waves

3.2.2 Scaling of Variables and Operators
3.2.3 Nondimensionalization of Equations
3.2.4 Green-Naghdi Equation
3.3 A Finite Element Discretization of the Green-Naghdi Equation
3.3.1 Notation
3.3.2 Functional Setting
3.3.3 Variational Formulation and Solution Procedure
3.4 Numerical Results
3.5 Conclusions
References
4 Tides in Coastal Seas. Influence of Topography and Bottom Friction
4.1 Introduction
4.2 Model Formulation
4.3 Fundamental Wave Solutions
4.3.1 Derivation with Klein-Gordon Equation
4.3.2 Kelvin Wave
4.3.3 Poincaré Waves

4.3.4 Wave Solutions with a Transverse Topographic Step
4.4 Amphidromic Patterns in Semi-enclosed Basins
4.4.1 Superposition of Two Kelvin Waves
4.4.2 Solution to Extended Taylor Problem
4.4.3 Application to Basins Around the World
4.5 Discussion
4.6 Conclusions
References
5 Variational Water-Wave Modeling: From Deep Water to Beaches
5.1 Introduction
5.2 Derivation of Luke's Variational Principle
5.3 Transformed Luke's/Miles' Variational Principles with Wavemaker
5.3.1 FEM and Mesh Motion
5.3.2 Numerical Results: Comparison with Wave-Tank Experiments

5.4 Coupling Water Waves to Shallow-Water Beach Hydraulics
5.4.1 Numerical Results: Damping of Waves on the Beach
5.5 Summary and Conclusions
References
6 Quasi-2D Turbulence in Shallow Fluid Layers
6.1 Introduction
6.2 Two-Dimensional Turbulence
6.2.1 Inertial Ranges in 2D Turbulence
6.2.2 2D Turbulence: The Early Years
6.2.3 Coherent Structures and 2D Turbulence
6.3 2D Turbulence in Square, Rectangular and Circular Domains
6.3.1 Simulations of 2D Turbulence in Domains with No-Slip Walls
6.3.2 Quasi-Steady Final States: Laboratory Experiments