The Mathematics of Marine Modelling/Математическое моделирование морской среды

Contents
The book is devoted to mathematical modeling of the dynamics of coastal seas, estuaries and tidal inlets, with an emphasis on the impact of human interventions and climate change on these ecosystems. It examines aspects such as water movement, transport of pollutants and precipitation, as well as waves and turbulence. It is intended for students, novice researchers and professionals, and includes basic mathematical concepts, an overview of various types of waves and turbulence models, as well as modeling morphodynamics and transport processes. The book helps to deepen understanding of complex interactions in coastal ecosystems and supports balanced decision-making in the field of coastal resource management.

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