[PDF] Top 20 Finite volume/finite element schemes for compressible two-phase flows inheterogeneous and anisotropic porous media

... numerical schemes for the approximation of solutions to the two-phase flow models have been extensively implemented and studied in the recent ...traditional finite difference ... Voir le document complet

... is anisotropic or the simplicial mesh does not verify the Delaunay condition [ 16 ...degenerate and its variables are strongly ...develop and analyze a vertex-centered finite volume ... Voir le document complet

... C., and Hilhorst, D. : Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary ... Voir le document complet

... ask for very few geometrical properties on the discretization of ...basin and reservoir simulations can be quite irregular and not admissible in the usual finite element or ... Voir le document complet

... model for water-gas flows in porous media is ...by finite volume schemes in the oil reservoir ...these schemes are only known for incompressible ... Voir le document complet

... so-called porous medium equation: ∂ t ρ − ∆ρ m = 0 for (x, t) ∈ R N × R + and m > 1, which is a very simplified model corresponding to the case of an isentropic gas flowing within a porous ... Voir le document complet

... derived and studied in [ 12 ...a finite difference ...robustness and stability properties such as positivity, well-balancing, discrete entropy and wet/dry interfaces ...derivation and ... Voir le document complet

... discrete Finite Volume scheme based on the LJKO time discretization is performed in Section 2, where we also establish the well- posedness of the scheme, as well as the preservation at the discrete level of ... Voir le document complet

... GRADIENT FLOWS CLÉMENT CANCÈS, THOMAS O. GALLOUËT, AND GABRIELE TODESCHI ...variational finite volume scheme to approximate the solutions to Wasserstein gradient ...mobility two-point ... Voir le document complet

... resolution and adaptation on the drag coefficient is summarized and compared to results obtained by different codes [ 33 ] in Table III ...the anisotropic mesh adaptation algorithm, based on the ... Voir le document complet

... Geometry and initial condition: the black area corresponds to the bone matrix (m 0 = 1) and the grey area to the cellular cluster (s 0 = 1, g 0 = ...triangles and 21632 ... Voir le document complet

... accuracy and complexity if usually tied to the smoothness properties of the function : typically one expects higher convergence rates for smoother ...discontinuities. Two typical instances displayed ... Voir le document complet

... Noh and Woodward [26] implemented as the anti-diffusive scheme of Lagoutière [23] (it will be referred to as the SLIC/Downwind scheme in the core of this ...6] for a state of art description of this ...The ... Voir le document complet

... the two- step upscaling procedure sketched in ...basis for a generalization of the model that was derived empirically in Barenblatt et ...(1960) for the flow of a fluid in heterogeneous porous ... Voir le document complet

... of two-phase flow in a porous medium may lead, when using coupled finite volume schemes on structured grids, to the apparition of the so-called Grid Ori- entation Effect ... Voir le document complet

... robust and accurate, shock–capturing schemes for general hyperbolic systems posed on a flat geometry like the Minkowski ...author and his collaborators; cf. [2–5,15]. To this end, we introduce ... Voir le document complet

... model for barotropic two-phase ...density and the dispersed phase mass fraction y) are kept within their physical bounds, and the entropy of the system is conserved, thus ... Voir le document complet

... Skeletonisation: homotopic thinning Digitisation artefact removal method Boundary conditions Skeleton points characterisation: curves and intersection points Nodes fusion criterion: rela[r] ... Voir le document complet

... 0.25 and n = 8 is plotted in Figure ...using two different ...scheme and the CCLADS scheme which reduces to a nine-point scheme on quadrangular ...motion and thus the use of the five-point ... Voir le document complet

... nodes and the value of the associated parameters must be ...PB and a pressure variation localized at the PT ...performing two integrations of Stokes equations in the pore space (a volume ... Voir le document complet