Abstract : We consider unsteady single-phase flows modeled by the Richards' equation. We compare Discrete Duality Finite Volume and Discontinuous Galerkin schemes applied to discretize the diffusive term. Backward Differentiation Formula of second order is used for the time stepping method. Accuracy and robustness of these two types of schemes are tested and compared on various test cases, especially in anisotropic heterogeneous media.
Vincent Baron, Yves Coudière, Pierre Sochala. Comparison of DDFV and DG Methods for Flow in Anisotropic Heterogeneous Porous Media. SIAM Conference on Mathematical & Computational Issues in the Geosciences, Jun 2013, Padova, Italy. ⟨hal-00817872⟩