Abstract
Abstract This paper presents a comparative study on locally mass-conservative numerical methods for Darcy's flows. The classical mixed finite element method (MFEM) is compared with the newly developed discontinuous finite volume method (DFVM) with and without weak over-penalization (WOP). These numerical methods are tested on three representative problems in porous media flows. In particular, locality, accuracy of numerical solutions, computational costs, and implementation issues are examined. The study indicates that the discontinuous finite volume methods could be viable alternatives to the classical mixed finite element method for Darcy's flows.
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