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

[21] On the solution of incompressible two-phase flow by a p-version discontinuous Galerkin method
Epshteyn, Y.
Riviere, B.
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2006, 22 (07): : 741 - 751
[22] Discontinuous Galerkin method for solving incompressible two-phase shallow granular flow model
Saleem, Muhammad Rehan
Nisar, Ubaid Ahmed
Qamar, Shamsul
ADVANCES IN MECHANICAL ENGINEERING, 2019, 11 (09)
[23] A novel discontinuous Galerkin model for two-phase flow in porous media using an improved IMPES method
Jamei, Mehdi
Ghafouri, H.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2016, 26 (01) : 284 - 306
[24] Numerical Simulation of Two-Phase Flow by the Finite Element, Discontinuous Galerkin Methods and the Level Set Method
Feistauer, Miloslav
Svacek, Petr
INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM-2018), 2019, 2116
[25] Adaptive mixed-hybrid and penalty discontinuous Galerkin method for two-phase flow in heterogeneous media
Hou, Jiangyong
Chen, Jie
Sun, Shuyu
Chen, Zhangxin
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 307 : 262 - 283
[26] A modified space-time finite element method for simulation of immiscible incompressible two-phase flow in heterogeneous porous media
Ferdowsi, P. A.
Manzari, Mehrdad T.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2007, 53 (08) : 1221 - 1242
[27] Discontinous Galerkin and Mixed-Hybrid Finite Element Approach to Two-Phase Flow in Heterogeneous Porous Media with Different Capillary Pressures
Fucik, Radek
Mikyska, Jiri
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE (ICCS), 2011, 4 : 908 - 917
[28] Development of a finite element/discontinuous Galerkin/level set approach for the simulation of incompressible two phase flow
Gao Puyang
Ouyang Jie
Zhou Wen
ADVANCES IN ENGINEERING SOFTWARE, 2018, 118 : 45 - 59
[29] Analysis of a linearization scheme for an interior penalty discontinuous Galerkin method for two-phase flow in porous media with dynamic capillarity effects
Karpinski, Stefan
Pop, Iuliu Sorin
Radu, Florin Adrian
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2017, 112 (06) : 553 - 577
[30] Existence and convergence of a discontinuous Galerkin method for the incompressible three-phase flow problem in porous media
Jones, Giselle Sosa
Cappanera, Loic
Riviere, Beatrice
IMA JOURNAL OF NUMERICAL ANALYSIS, 2023, 43 (05) : 2714 - 2747

← 1 2 3 4 5 →