Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2010
|
| Resumo |
We design and investigate a sequential discontinuous Galerkin method to approximate two-phase immiscible incompressible flows in heterogeneous porous media with discontinuous capillary pressures. The nonlinear interface conditions are enforced weakly through an adequate design of the penalties on interelement jumps of the pressure and the saturation. An accurate reconstruction of the total velocity is considered in the Raviart-Thomas(-Nedelec) finite element spaces, together with diffusivity-dependent weighted averages to cope with degeneracies in the saturation equation and with media heterogeneities. The proposed method is assessed on one-dimensional test cases exhibiting rough solutions, degeneracies, and capillary barriers. Stable and accurate solutions are obtained without limiters. (C) 2010 Elsevier B.V. All rights reserved. Groupement MoMaS (PACEN/CNRS, ANDRA, BRGM, CEA, EdF, IRSN), France Groupement MoMaS (PACEN/CNRS, ANDRA, BRGM, CEA, EdF, IRSN), France |
| Identificador |
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.199, n.23-24, p.1491-1501, 2010 0045-7825 http://producao.usp.br/handle/BDPI/30779 10.1016/j.cma.2009.12.014 |
| Idioma(s) |
eng |
| Publicador |
ELSEVIER SCIENCE SA |
| Relação |
Computer Methods in Applied Mechanics and Engineering |
| Direitos |
closedAccess Copyright ELSEVIER SCIENCE SA |
| Palavras-Chave | #Two-phase flows #Heterogeneous porous media #Discontinuous capillary pressure #Discontinuous Galerkin #Interface condition #Velocity reconstruction #Weighted averages #Secondary oil recovery #RECONSTRUCTION #DIFFUSION #ADVECTION #EQUATIONS #FORCES #Engineering, Multidisciplinary #Mathematics, Interdisciplinary Applications #Mechanics |
| Tipo |
article original article publishedVersion |
