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    Locally Conservative Continuous Galerkin FEM for Pressure Equation in Two-Phase Flow Model in Subsurfaces

    Access Status
    Fulltext not available
    Authors
    Deng, Quanling
    Ginting, V.
    Date
    2017
    Type
    Journal Article
    
    Metadata
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    Citation
    Deng, Q. and Ginting, V. 2017. Locally Conservative Continuous Galerkin FEM for Pressure Equation in Two-Phase Flow Model in Subsurfaces. Journal of Scientific Computing: pp. 1-22.
    Source Title
    Journal of Scientific Computing
    DOI
    10.1007/s10915-017-0493-9
    ISSN
    0885-7474
    School
    School of Earth and Planetary Sciences (EPS)
    URI
    http://hdl.handle.net/20.500.11937/65912
    Collection
    • Curtin Research Publications
    Abstract

    © 2017 Springer Science+Business Media, LLC A typical two-phase model for subsurface flow couples the Darcy equation for pressure and a transport equation for saturation in a nonlinear manner. In this paper, we study a combined method consisting of continuous Galerkin finite element methods (CGFEMs) followed by a post-processing technique for Darcy equation and a nodal centered finite volume method (FVM) with upwind schemes for the saturation transport equation, in which the coupled nonlinear problem is solved in the framework of operator decomposition. The post-processing technique is applied to CGFEM solutions to obtain locally conservative fluxes which ensures accuracy and robustness of the FVM solver for the saturation transport equation. We applied both upwind scheme and upwind scheme with slope limiter for FVM on triangular meshes in order to eliminate the non-physical oscillations. Various numerical examples are presented to demonstrate the performance of the overall methodology.

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