A NEW NUMERICAL METHOD FOR TWO-PHASE IMMISCIBLE INCOMPRESSIBLE PROBLEM

被引:0
|
作者
孙文涛
机构
关键词
Immiscible incompressible problem; maximum principle; numerical method;
D O I
暂无
中图分类号
O351 [普通流体力学];
学科分类号
080103 ; 080704 ;
摘要
Two-phase, immiscible, incompressible flow in porous media is governed by a system of nonlinear partial differential equations. In most practical applications convection physically dominates diffusion, and the object of this paper is to develop a finite difference method combined with the method of characteristics and the lumped mass method to treat the parabolic equation of the differential system. This method is shown satisfy the maximum principle and its error analysis is presented.
引用
收藏
页码:38 / 44
页数:7
相关论文
共 50 条
  • [41] Numerical investigation on immiscible two-phase flow in the mechanical seal gap
    Ran, Yao
    Gao, Wenbin
    He, Qiang
    Zhu, Greg
    Liu, Ying
    Wang, Yuming
    Luo, Kai
    Huang, Weifeng
    TRIBOLOGY INTERNATIONAL, 2025, 202
  • [42] A numerical model for two-phase immiscible fluid flow in a porous medium
    Ozdemir, Osman N.
    Yildiz, Ebru F.
    Ger, Metin
    JOURNAL OF HYDRAULIC RESEARCH, 2007, 45 (02) : 279 - 287
  • [43] Two-phase viscous fingering of immiscible thixotropic fluids: A numerical study
    Ebrahimi, Behnam
    Taghavi, Seyed-Mohammad
    Sadeghy, Kayvan
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2015, 218 : 40 - 52
  • [44] The Immersed Boundary Method: Application to Two-Phase Immiscible Flows
    Spizzichino, Avihai
    Goldring, Sharone
    Feldman, Yuri
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 25 (01) : 107 - 134
  • [45] Numerical solutions of a two-phase membrane problem
    Bozorgnia, F.
    APPLIED NUMERICAL MATHEMATICS, 2011, 61 (01) : 92 - 107
  • [46] Numerical simulation of bubbly flows by the improved lattice Boltzmann method for incompressible two-phase flows
    Saito, Satoshi
    Yoshino, Masato
    Suzuki, Kosuke
    COMPUTERS & FLUIDS, 2023, 254
  • [47] Compressible-Incompressible Two-Phase Flows with Phase Transition: Model Problem
    Watanabe, Keiichi
    JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2018, 20 (03) : 969 - 1011
  • [48] A conservative phase field method for solving incompressible two-phase flows
    Chiu, Pao-Hsiung
    Lin, Yan-Ting
    JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 230 (01) : 185 - 204
  • [49] A Novel Numerical Approach for the Solution of the Problem of Two-Phase, Immiscible Flow in Porous Media: Application to LNAPL and DNAPL
    Salama, Amgad
    Sun, Shuyu
    El Amin, Mohamed F.
    POROUS MEDIA AND ITS APPLICATIONS IN SCIENCE, ENGINEERING, AND INDUSTRY, 2012, 1453 : 135 - 140
  • [50] Numerical solution of a stationary nonisothermal two-phase filtration problem by the steadying method
    Bocharov, O. B.
    Telegin, I. G.
    THERMOPHYSICS AND AEROMECHANICS, 2009, 16 (01) : 61 - 67