Efficient water table evolution discretization using domain transformation

W. M. Boon, Nicola Balbarini, Philip John Binning, J. M. Nordbotten

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    Domain transformation methods are useful techniques for solving problems on non-stationary domains. In this work, we consider the evolution of the water table in an unconfined aquifer. This nonlinear, time-dependent problem is greatly simplified by using a mapping from the physical domain to a reference domain and is then further reduced to a single, (nonlinear) partial differential equation. We show well-posedness of the approach and propose a stable and convergent discretization scheme. Numerical results are presented supporting the theory.
    Original languageEnglish
    JournalComputational Geosciences
    Issue number1
    Pages (from-to)3-11
    Number of pages9
    Publication statusPublished - 2017


    • Domain tranformation
    • Water table evolution
    • Finite element method


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