Finite element method for two-phase immiscible flow

被引：0
|
作者：
Sun, WT [1 ]
Zhang, HY [1 ]
机构：
[1] Shandong Univ, Jinan 250100, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 1999年 / 15卷 / 04期
关键词：
finite element method; immiscible flow; conservation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An explicit finite element method for numerically solving the two-phase, immiscible, incompressible flow in a porous medium in two space dimensions is analyzed. The method is based on the use of a mixed finite element method for the approximation of the velocity and pressure a discontinuous upwinding finite element method for the approximation of the saturation. The mixed method gives an approximate velocity field in the precise form needed by the discontinuous method, which is trivially conservative and fully parallelizable in computation. It is proven that it converges to the exact solution. (C) 1999 John Wiley & Sons, Inc.
引用
收藏
页码：407 / 416
页数：10
相关论文
共 50 条
  • [31] Operator Splitting Multiscale Finite Volume Element Method for Two-Phase Flow with Capillary Pressure
    Frederico Furtado
    Victor Ginting
    Felipe Pereira
    Michael Presho
    Transport in Porous Media, 2011, 90 : 927 - 947
  • [32] Numerical approximation of water-air two-phase flow by the mixed finite element method
    Korsawe, J
    Perau, E
    Potthoff, S
    Starke, G
    COMPUTERS AND GEOTECHNICS, 2003, 30 (08) : 695 - 705
  • [33] An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension
    Chessa, J
    Belytschko, T
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 58 (13) : 2041 - 2064
  • [34] A parallel finite element method for two-phase flow processes in porous media: OpenGeoSys with PETSc
    Wang, Wenqing
    Fischer, Thomas
    Zehner, Bjoern
    Boettcher, Norbert
    Goerke, Uwe-Jens
    Kolditz, Olaf
    ENVIRONMENTAL EARTH SCIENCES, 2015, 73 (05) : 2269 - 2285
  • [35] Operator Splitting Multiscale Finite Volume Element Method for Two-Phase Flow with Capillary Pressure
    Furtado, Frederico
    Ginting, Victor
    Pereira, Felipe
    Presho, Michael
    TRANSPORT IN POROUS MEDIA, 2011, 90 (03) : 927 - 947
  • [36] A dynamic network model for two-phase immiscible flow
    Dahle, HK
    Celia, MA
    COMPUTATIONAL GEOSCIENCES, 1999, 3 (01) : 1 - 22
  • [37] Parameterizations of immiscible two-phase flow in porous media
    Pedersen, Hakon
    Hansen, Alex
    FRONTIERS IN PHYSICS, 2023, 11
  • [38] Accurate multiscale finite element methods for two-phase flow simulations
    Efendiev, Y.
    Ginting, V.
    Hou, T.
    Ewing, R.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 220 (01) : 155 - 174
  • [39] Homogenization of the filtration of a two-phase immiscible liquid flow
    Sandrakov, GV
    DOKLADY MATHEMATICS, 2000, 62 (02) : 186 - 189
  • [40] Fully implicit discontinuous finite element methods for two-phase flow
    Epshteyn, Y.
    Riviere, B.
    APPLIED NUMERICAL MATHEMATICS, 2007, 57 (04) : 383 - 401
12345