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

被引：17

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

[41] A finite element method for degenerate two-phase flow in porous media. Part II: Convergence
Girault, Vivette
Riviere, Beatrice
Cappanera, Loic
JOURNAL OF NUMERICAL MATHEMATICS, 2021, 29 (03) : 187 - 219
[42] A control volume based finite element method for simulating incompressible two-phase flow in heterogeneous porous media and its application to reservoir engineering
SADRNEJAD S A
GHASEMZADEH H
GHOREISHIAN AMIRI S A
MONTAZERI G H
Petroleum Science, 2012, 9 (04) : 485 - 497
[43] On Application of the Weak Galerkin Finite Element Method to a Two-Phase Model for Subsurface Flow
Ginting, Victor
Lin, Guang
Liu, Jiangguo
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 66 (01) : 225 - 239
[44] A multiscale mixed finite element method applied to the simulation of two-phase flows
Duran, Omar
Devloo, Philippe R. B.
Gomes, Sonia M.
Villegas, Jose
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 383
[45] On Application of the Weak Galerkin Finite Element Method to a Two-Phase Model for Subsurface Flow
Victor Ginting
Guang Lin
Jiangguo Liu
Journal of Scientific Computing, 2016, 66 : 225 - 239
[46] A Lax-Wendroff-IMPES scheme for a two-phase flow in porous media using interior penalty discontinuous Galerkin method
Jamei, M.
Abadi, A. Raeisi Isa
Ahmadianfar, I
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2019, 75 (05) : 325 - 346
[47] Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure
Brenner, Konstantin
Cances, Clement
Hilhorst, Danielle
COMPUTATIONAL GEOSCIENCES, 2013, 17 (03) : 573 - 597
[48] Optimal error analysis of Crank-Nicolson lowest-order Galerkin-mixed finite element method for incompressible miscible flow in porous media
Gao, Huadong
Sun, Weiwei
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2020, 36 (06) : 1773 - 1789
[49] An efficient discontinuous Galerkin method for two-phase flow modeling by conservative velocity projection
Jamei, Mehdi
Ghafouri, H.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2016, 26 (01) : 63 - 84
[50] Homogenization of nonisothermal immiscible incompressible two-phase flow in porous media
Amaziane, B.
Jurak, M.
Pankratov, L.
Piatnitski, A.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 43 : 192 - 212

← 1 2 3 4 5 →