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Numerical Dispersivity in Modelling of Saltwater Intrusion into a Coastal Aquifer

  • J. M. Crolet
  • F. Jacob
Part of the Theory and Applications of Transport in Porous Media book series (TATP, volume 11)

Abstract

A numerical dispersion is often observed in the simulation of flow and mass transport in porous media. This phenomenon, which is well known by numericians, is characterized by the occurrence of negative values for the solute concentration and it is important to master this parasite effect in a simulation software. During the validation of such a software, this disturbance was studied in the case of the Henry’s problem. Several technical possibilities have been reviewed and a better solution can be obtained.

Keywords

Coastal Aquifer Saltwater Intrusion Upwind Scheme Numerical Dispersion Upstream Face 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Crolet J.M., Jacob F., Lesaint P., Mania J. (1995) Tridimensional simulation of intrusion of salted water in an aquifer. in C.A. Brebbia, L. Traversoni and L.C. Wrobel (eds), Computer modelling of seas and coastal regions, Vol. 2, Computational Mechanics Publications, Ashurst Lodge, Southampton, 125–132.Google Scholar
  2. Brooks A.N. and Hughes T.J.R. (1982) Streamline upwind/ Petrov Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier Stokes equations. in Computer Methods in Applied Mechanics and Engineering, North Holland P. C., Vol. 32, 199–258.Google Scholar
  3. Jacob F. (1993) Modélisation tridimensionnelle par la méthode des éléments finis de l’écoulement et du transport en milieu poreux saturé. PhD thesis Université de Franche-Comté N° 327.Google Scholar
  4. Johnson C. (1994) Numerical solution of partial differential equation by the FEM. Cambridge University Press, Cambridge, 147–211.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • J. M. Crolet
    • 1
  • F. Jacob
    • 1
  1. 1.Laboratoire de Calcul Scientifique UFR des Sciences et TechniquesUniversité de Franche-ComtéBesançonFrance

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