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Robustness and Accuracy of Groundwater Flux Computations in Large-Scale Shallow Sedimentary Basins

  • W. Zijl
  • M. Nawalany
Conference paper

Abstract

Computer codes to calculate the groundwater potential field ø(x,t) (a scalar field) are applied on a routine basis by geohydrologists. For this purpose both finite difference and finite element codes are well-suited. However, the flux field q(x,t) (a vector field) obtained from the latter finite element codes has discontinuous normal components on the inter-element boundaries. These discontinuities can lead to serious errors in the resulting flow paths. Finite difference codes, on the other hand, result in a continuous flux field. To avoid a discontinuous flux field, while retaining the advantages of the finite element method, the so-called mixed-hybrid finite element method has recently been developed; see Kaasschieter and Huijben [1]. The block-centred finite difference method (see Aziz and Settari [2]) turns out to be a special case of the mixed-hybrid finite element method; or, in other words, the mixed-hybrid finite element method may be considered as a generalization of the blockcentred finite difference method; see Weiser and Wheeler [3].

Keywords

Hydraulic Conductivity Groundwater Flow Finite Difference Method Finite Element Code Local Matrice 
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

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Copyright information

© Computational Mechanics Publications 1991

Authors and Affiliations

  • W. Zijl
    • 1
  • M. Nawalany
    • 2
  1. 1.TNO Institute of Applied GeoscienceDelftThe Netherlands
  2. 2.Institute of Environmental EngineeringWarsaw Technical UniversityWarsawPoland

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