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    A finite-volume ELLAM for non-linear flux convection-diffusion problems

    , Article International Journal of Non-Linear Mechanics ; Volume 44, Issue 2 , 2009 , Pages 129-136 ; 00207462 (ISSN) Fatehi, R ; Taghizadeh Manzari, M ; Kazemzadeh Hannani, S ; Sharif University of Technology
    2009
    Abstract
    In this paper, a modified finite-volume Eulerian-Lagrangian localized adjoint method (FVELLAM) extended for convection-diffusion problems with a non-linear flux function is introduced. Tracking schemes are discussed using viscous Burgers' equation. It is shown that in order to have smooth results, only the new time level values should be used in tracking process. Then, the proposed method is employed to study immiscible incompressible two-phase flows in porous media. Various one- and two-dimensional test cases involving internal sources and sinks are solved and accuracy of solution and performance of the method are investigated by comparing the results obtained using FVELLAM with those of... 

    DNAPL flow and complex electrical resistivity evolution in saturated porous media: A coupled numerical simulation

    , Article Journal of Contaminant Hydrology ; Volume 248 , 2022 ; 01697722 (ISSN) Koohbor, B ; Deparis, J ; Leroy, P ; Ataie Ashtiani, B ; Davarzani, H ; Colombano, S ; Sharif University of Technology
    Elsevier B.V  2022
    Abstract
    Induced Polarization (IP) is a non-intrusive geophysical method to monitor Dense Non-Aqueous Phase Liquid (DNAPL) contamination and remediation processes underground. In this study, an advanced numerical code simulating DNAPL flow and complex electrical resistivity is presented. The model was validated against existing IP results and image measurements that were carried out previously in a series of 2D tank experiment. Multiphase flow modeling in porous media is coupled with electrical current modeling to simulate the process of DNAPL migration and the associated IP response. This brings a broader view of the contamination in space and time compared to surface and borehole measurements,...