Two-phase flow analysis based on a phase-field model using orthogonal basis bubble function finite element method

被引:9
作者
Matsumoto, Junichi [1 ]
Takada, Naoki [1 ]
机构
[1] Natl Inst Adv Ind Sci & Technol, Adv Mfg Res Inst, Tsukuba, Ibaraki, Japan
关键词
two-phase flow; phase-field model; Cahn-Hilliard equation; finite element method; orthogonal basis bubble function element;
D O I
10.1080/10618560802238226
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this study, a finite element method based on a phase-field model for gas-liquid two-phase flow is proposed. MINI element based on a bubble function element stabilisation method is employed for the incompressible Navier-Stokes equations. The Cahn-Hilliard equation is employed to estimate the interface of gas and liquid. The orthogonal basis bubble function element is used to solve the Cahn-Hilliard equation. In particular, a detailed explanation for solving the Cahn-Hilliard equation based on a finite element method is given.
引用
收藏
页码:555 / 568
页数:14
相关论文
共 50 条
  • [41] 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
  • [42] 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
  • [43] Accurate multiscale finite element method for numerical simulation of two-phase flow in fractured media using discrete-fracture model
    Zhang, Na
    Yao, Jun
    Huang, Zhaoqin
    Wang, Yueying
    JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 242 : 420 - 438
  • [44] Two-phase regularized phase-field density gradient Navier-Stokes based flow model: Tuning for microfluidic and digital core applications
    Balashov, Vladislav
    Savenkov, Evgeny
    Khlyupin, Aleksey
    Gerke, Kirill M.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2025, 521
  • [45] Variational multi-scale finite element method for the two-phase flow of polymer melt filling process
    Li, Xuejuan
    He, Ji-Huan
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2020, 30 (03) : 1407 - 1426
  • [46] Phase Distribution Parameter Prediction using Logistic Model in the Analysis of Two-phase Flow
    Lv, Ping
    Wang, Han
    Wang, Hui
    2014 IEEE 8TH INTERNATIONAL SYMPOSIUM ON EMBEDDED MULTICORE/MANYCORE SOCS (MCSOC), 2014, : 23 - 30
  • [47] 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
  • [48] Explicit finite element material point method coupled with phase-field model for solid brittle fracture
    Wang, Runqiu
    Wang, Guilin
    Yang, Xinjie
    Sun, Fan
    Huang, Jianming
    Liao, Mingyong
    Li, Boyi
    ENGINEERING FRACTURE MECHANICS, 2025, 316
  • [49] Optimal mass transport-based adaptive mesh method for phase-field models of two-phase fluid flows
    Sulman, Mohamed H. M.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (09) : 2181 - 2193
  • [50] A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows
    Liu, Chen
    Ray, Deep
    Thiele, Christopher
    Lin, Lu
    Riviere, Beatrice
    JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 449