A FINITE ELEMENT COLLOCATION METHOD FOR TWO-PHASE INCOMPRESSIBLE IMMISCIBLE PROBLEMS

被引：0
|
作者：
马宁 [1 ]
机构：
[1] Department of Mathematics and Physics China University of Petroleum Beijing 102249
来源：
ActaMathematicaScientia | 2007年 / 04期
关键词：
Incompressible; immiscible; collocation scheme; error estimate;
D O I：
暂无
中图分类号：
O411.1 [数学物理方法];
学科分类号：
0701 ; 070104 ;
摘要：
Two-phase,incompressible,immiscible flow in porous media is governed by a coupled system of nonlinear partial differential equations.The pressure equation is elliptic, whereas the concentration equation is parabolic,and both are treated by the collocation scheme.Existence and uniqueness of solutions of the algorithm are proved.A optimal convergence analysis is given for the method.
引用
收藏
页码：875 / 885
页数：11
相关论文
共 50 条
  • [21] A Chebyshev collocation method for solving two-phase flow stability problems
    Boomkamp, PAM
    Boersma, BJ
    Miesen, RHM
    Beijnon, GV
    JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 132 (02) : 191 - 200
  • [22] On the finite element formulation of dynamic two-phase coupled problems
    Cividini, Annamaria
    Gioda, Giancarlo
    COMPUTERS AND GEOTECHNICS, 2016, 73 : 37 - 46
  • [23] A virtual element method for the two-phase flow of immiscible fluids in porous media
    Berrone, Stefano
    Busetto, Martina
    COMPUTATIONAL GEOSCIENCES, 2022, 26 (01) : 195 - 216
  • [24] A virtual element method for the two-phase flow of immiscible fluids in porous media
    Stefano Berrone
    Martina Busetto
    Computational Geosciences, 2022, 26 : 195 - 216
  • [25] An unstructured finite element model for incompressible two-phase flow based on a monolithic conservative level set method
    Quezada de Luna, Manuel
    Haydel Collins, J.
    Kees, Christopher E.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2020, 92 (09) : 1058 - 1080
  • [26] Analysis of a combined mixed finite element and discontinuous Galerkin method for incompressible two-phase flow in porous media
    Kou, Jisheng
    Sun, Shuyu
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (07) : 962 - 982
  • [27] A spectral element-based phase field method for incompressible two-phase flows
    Xiao, Yao
    Zeng, Zhong
    Zhang, Liangqi
    Wang, Jingzhu
    Wang, Yiwei
    Liu, Hao
    Huang, Chenguang
    PHYSICS OF FLUIDS, 2022, 34 (02)
  • [28] Homogenization of immiscible incompressible two-phase flow in double porosity media
    Amaziane, Brahim
    Jurak, Mladen
    Pankratov, Leonid
    Vrbaski, Anja
    MATEMATICKE METODE I NAZIVLJE U GEOLOGIJI, 2016, : 109 - 110
  • [29] Local statistics of immiscible and incompressible two-phase flow in porous media
    Fyhn, Hursanay
    Sinha, Santanu
    Hansen, Alex
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2023, 616
  • [30] 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
12345