The Mathematics of Marine Modelling: Water, Solute and Particle Dynamics in Estuaries and Shallow Seas

by Henk Schuttelaars (Editor), Arnold Heemink (Editor), Eric Deleersnijder (Editor)

Overview

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.

Product Details

ISBN-13:	9783031095580
Publisher:	Springer International Publishing
Publication date:	12/01/2022
Series:	Mathematics of Planet Earth , #9
Edition description:	1st ed. 2022
Pages:	318
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

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 shastic modelling and in Lagrangian methods to model transport processes using shastic 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

Table of Contents

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 shastic differential equations.- Morphodynamic modelling in marine environments: model formulation and solution techniques.- Wetting and Drying Procedures for Shallow Water Simulations.- Index.