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The Mathematics of Marine Modelling

Water, Solute and Particle Dynamics in Estuaries and Shallow Seas

  • 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

Part of the book series: Mathematics of Planet Earth (MPE, volume 9)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-x
  2. Basic Equations of Marine Flows

    • Knut Klingbeil, Eric Deleersnijder, Oliver Fringer, Lars Umlauf
    Pages 1-9
  3. Tides in Coastal Seas. Influence of Topography and Bottom Friction

    • Pieter C. Roos, Huib E. de Swart
    Pages 73-102
  4. Quasi-2D Turbulence in Shallow Fluid Layers

    • Herman J. H. Clercx
    Pages 135-165
  5. Turbulent Dispersion

    • Benoit Cushman-Roisin
    Pages 167-196
  6. Spreading and Mixing in Near-Field River Plumes

    • Robert D. Hetland
    Pages 197-211
  7. Lagrangian Modelling of Transport Phenomena Using Stochastic Differential Equations

    • Arnold Heemink, Eric Deleersnijder, Syed Hyder Ali Muttaqi Shah, Ulf Gräwe
    Pages 213-242
  8. Wetting and  Drying  Procedures for Shallow Water Simulations

    • Sigrun Ortleb, Jonathan Lambrechts, Tuomas Kärnä
    Pages 287-314
  9. Back Matter

    Pages 315-318

About this book

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.


Editors and Affiliations

  • Department of Applied Mathematics, Delft University of Technology, Delft, The Netherlands

    Henk Schuttelaars, Arnold Heemink

  • Institute of Mechanics, Materials and Civil Engineering (IMMC) and Earth and Life Institute (ELI), Université Catholique de Louvain, Louvain-la-Neuve, Belgium

    Eric Deleersnijder

About the editors

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


Bibliographic Information

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access