A space-time discontinuous Galerkin method applied to singe-phase flow in porous media

Zhiyun Chen*, Holger Steeb, Stefan Diebels

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    11 Citations (Scopus)
    4 Downloads (Pure)

    Abstract

    A space-time discontinuous Galerkin finite element method is proposed and applied to a convection-dominant single-phase flow problem in porous media. The numerical scheme is based on a coupled space-time finite element discretization allowing for discontinuous approximations in space and in time. The continuities on the element interfaces are weakly enforced by the flux treatments, so that no extra penalty factor has to be determined. The resulting space-time formulation possesses the advantage of capturing the steep concentration front with sharp gradients efficiently. The stability and reliability of the proposed approach is demonstrated by numerical experiments.
    Original languageEnglish
    Pages (from-to)525-539
    Number of pages15
    JournalComputational geosciences
    Volume12
    Issue number4
    DOIs
    Publication statusPublished - 2008

    Keywords

    • n/a OA procedure

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