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Acta Applicandae Mathematicae

, Volume 123, Issue 1, pp 1–19 | Cite as

Paralic Confinement: Models and Simulations

  • Emmanuel Frénod
  • Antoine Rousseau
Article

Abstract

This paper deals with the mathematical modelling of confinement of paralic ecosystems. It is based on the recent paper (Frénod and Goubert in Ecol. Model. 200(1–2):139–148, 2007) that presents a modelling procedure in order to compute the confinement field of a lagoon.

Here, we improve the existing model in order to account for tide oscillations in any kind of geometry such as non-rectangular lagoons with a non-flat bottom. The new model, that relies on PDEs rather than ODEs, is then implemented thanks to the finite element method. Numerical results confirm the feasibility of confinement studies thanks to the introduced model.

Keywords

Mathematical modelling Numerical modelling Partial differential equations Numerical simulations Finite elements Confinement Ecological systems 

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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Université Européenne de Bretagne, Lab-STICC (UMR CNRS 3192), Université de Bretagne-Sud, Centre Yves Coppens, Campus de TohannicVannesFrance
  2. 2.Université de Strasbourg, IRMA, INRIA CALVIStrasbourg CedexFrance
  3. 3.Inria, Laboratoire Jean KuntzmannGrenoble Cedex 9France

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