The Mathematics of Marine Modelling

Over the past few decades, numerical simulation has become instrumental in understanding the dynamics of seas, coastal regions and estuaries. The decision makers rely more and more frequently on model results for the management of these regions. Some modellers are insufficiently aware of the theoretical underpinning of the simulation tools they are using. On the other hand, a number of applied mathematicians tend to view marine sciences as a domain in which they would like to use the tools they have a good command of. Bridging the gap between model users and applied mathematicians is the main objective of the present book. In this respect a vast number of issues in which mathematics plays a crucial role will be addressed.

Focus on coastal seas and estuarine environments Wide variety of topics, ranging from turbulence modelling to large scale water motion Advanced mathematical techniques used to study these topics discussed in detail

Autorentext
Henk Schuttelaars is full professor Applied Mathematics at Delft University of Technology. Using mathematical techniques (combining analytical and numerical methods), his research focuses on salt and sediment transport processes, trapping of sediments, and morphodynamic evolution of estuaries and coastal seas.

Arnold Heemink is full professor Applied Mathematics at Delft University of Technology since 1993. For more then 30 years he worked on tidal modelling with a focus on the development of data assimilation methods for storm surge forecasting. More recently he also became interested in stochastic modelling and in Lagrangian methods to model transport processes using stochastic differential equations.

Eric Deleersnijder is a reader with the Université catholique de Louvain, Louvain-la-Neuve, Belgium, a former part-time professor with Delft University of Technology and a honorary researcher with the Belgian Fund for Scientific Research (F.R.S.-FNRS). His research interests focus on the mathematical and numerical modelling on several components of the hydrosphere. Additional pieces of information may be found at www.ericd.be

Inhalt
Basic equations of marine flows.- Water waves in isotropic and anisotropic media: a comparison.- A Review of Nonlinear Boussinesq-Type Models for Coastal Ocean Modeling.- Tides in coastal seas. Influence of topography and bottom friction.- Variational water-wave modeling: from deep water to beaches.- Quasi-2D turbulence in shallow fluid layers.- Turbulent dispersion.- Spreading and mixing in near-field river plumes.- Lagrangian modelling of transport phenomena using stochastic differential equations.- Morphodynamic modelling in marine environments: model formulation and solution techniques.- Wetting and Drying Procedures for Shallow Water Simulations.- Index. <p