Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media

被引：15

作者：

Kou, Jisheng ^{[1
]}

Sun, Shuyu ^{[2
]}

机构：

[1] Hubei Engn Univ, Sch Math & Stat, Xiaogan 432100, Hubei, Peoples R China

[2] King Abdullah Univ Sci & Technol, Div Phys Sci & Engn, Computat Transport Phenomena Lab, Thuwal 239556900, Saudi Arabia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 07期

关键词：

two-phase flow; mixed finite element method; discontinuous Galerkin method; error estimate; existence and uniqueness; NUMERICAL-SIMULATION; FRACTURED MEDIA; VOLUME METHOD; COUPLED FLOW; CONVERGENCE; MODEL;

D O I：

10.1002/mma.2854

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze a combined method consisting of the mixed finite element method for pressure equation and the discontinuous Galerkin method for saturation equation for the coupled system of incompressible two-phase flow in porous media. The existence and uniqueness of numerical solutions are established under proper conditions by using a constructive approach. Optimal error estimates in L-2(H-1) for saturation and in L- infinity (H(div)) for velocity are derived. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：962 / 982

页数：21

共 50 条

[1] A Two-Grid Combined Mixed Finite Element and Discontinuous Galerkin Method for an Incompressible Miscible Displacement Problem in Porous Media
Yang, Jiming
Su, Yifan
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 88 (03)
[2] A Two-Grid Combined Mixed Finite Element and Discontinuous Galerkin Method for an Incompressible Miscible Displacement Problem in Porous Media
Jiming Yang
Yifan Su
Journal of Scientific Computing, 2021, 88
[3] Modelling Two-Phase Incompressible Flow in Porous Media Using Mixed Hybrid and Discontinuous Finite Elements
D. Nayagum
G. Schäfer
R. Mosé
Computational Geosciences, 2004, 8 : 49 - 73
[4] Modelling two-phase incompressible flow in porous media using mixed hybrid and discontinuous finite elements
Nayagum, D
Schäfer, G
Mosé, R
COMPUTATIONAL GEOSCIENCES, 2004, 8 (01) : 49 - 73
[5] A combined mixed finite element method and discontinuous Galerkin method for hybrid-dimensional fracture models of two-phase flow
Chen, Shuangshuang
Journal of Computational and Applied Mathematics, 2025, 459
[6] A sequential discontinuous Galerkin method for two-phase flow in deformable porous media
Shen, Boqian
Riviere, Beatrice
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 399
[7] A mixed and discontinuous Galerkin finite volume element method for incompressible miscible displacement problems in porous media
Kumar, Sarvesh
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2012, 28 (04) : 1354 - 1381
[8] A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media
Fabien, Maurice S.
Knepley, Matthew G.
Riyiere, Beatrice M.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 116 (03) : 161 - 177
[9] Discontinuous and mixed finite elements for two-phase incompressible flow
Chavent, Guy
Cohen, Gary
Jaffre, Jerome
Eymard, Robert
Guerillot, Dominique R.
Weiil, Luce
SPE Reservoir Engineering (Society of Petroleum Engineers), 1990, 5 (04): : 567 - 575
[10] The error analysis of linearized discontinuous Galerkin finite element method for incompressible miscible displacement in porous media
Saadoon, Jawad Jaaywel
Kashkool, Hashim Abdul-Khaliq
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2019, 22 (08) : 1471 - 1484

← 1 2 3 4 5 →