A combined finite volume–nonconforming finite element scheme for compressible two phase flow in porous media
نویسندگان
چکیده
منابع مشابه
A combined finite volume-nonconforming finite element scheme for compressible two phase flow in porous media
We propose and analyze a combined finite volume–nonconforming finite element scheme on general meshes to simulate the two compressible phase flow in porous media. The diffusion term, which can be anisotropic and heterogeneous, is discretized by piecewise linear nonconforming triangular finite elements. The other terms are discretized by means of a cell-centered finite volume scheme on a dual me...
متن کاملA Hybridized Crouziex-Raviart Nonconforming Finite Element and Discontinuous Galerkin Method for a Two-Phase Flow in the Porous Media
In this study, we present a numerical solution for the two-phase incompressible flow in the porous media under isothermal condition using a hybrid of the linear lower-order nonconforming finite element and the interior penalty discontinuous Galerkin (DG) method. This hybridization is developed for the first time in the two-phase modeling and considered as the main novelty of this research.The p...
متن کاملMixed Finite Element - Finite Volume Methods for Two Phase Flow in Porous Media
As a model problem for the miscible and imiscible two phase ow we consider the following system of partial diierential equations: ?div (a(c; x) (rp(x; t) + (c; x))) = 0 @tc(x; t) + div (u(x; t)c(x; t)) ? div (rc(x;t)) = f(x; t); with (x; t) 2 (0; T). Here u denotes the Darcy velocity, p the pressure and c the concentration of one phase of the uid. For small diiusions (0 < < < 1) standard Galerk...
متن کاملFinite volume schemes for two phase flow in porous media
The system of equations obtained from the conservation of multiphasic fluids in porous media is usually approximated by finite volume schemes in the oil reservoir simulation setting. The convergence properties of these schemes are only known in a few simplified cases. The aim of this paper is to present some new results of convergence in more complex cases. These results are based on an adaptat...
متن کاملStudy of Full Implicit Petroleum Engineering Finite-Volume Scheme for Compressible Two-Phase Flow in Porous Media
An industrial scheme, to simulate the two compressible phase flow in porous media, consists in a finite volume method together with a phase-by-phase upstream scheme. The implicit finite volume scheme satisfies industrial constraints of robustness. We show that the proposed scheme satisfy the maximum principle for the saturation, a discrete energy estimate on the pressures and a function of the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2014
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-014-0651-z