The interface between fresh and salt groundwater : a numerical study

J.R. Chan Hong, C.J. Duijn, van, D. Hilhorst, J. Kester, van

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    9 Citations (Scopus)

    Abstract

    In this paper the two-dimensional flow of fresh and salt water through a homogeneous aquifer is considered. The two fluids are assumed to be separated by a sharp interface. They differ only in their specific weight. This difference induces a flow in the aquifer which in turn causes a motion of the interface. We present a mathematical formulation of this problem which consists of a Poisson equation for the stream function coupled to a time evolution equation for the moving interface. The equation for the stream function is solved by means of a finite-element method while a predictor-corrector method (the Saß scheme) is used for the discretization of the equation for the interface.
    Original languageEnglish
    Pages (from-to)209-240
    JournalIMA Journal of Applied Mathematics
    Volume42
    Issue number3
    DOIs
    Publication statusPublished - 1989

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