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
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS | 2008年 / 22卷 / 08期
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
  • [11] On Application of the Weak Galerkin Finite Element Method to a Two-Phase Model for Subsurface Flow
    Ginting, Victor
    Lin, Guang
    Liu, Jiangguo
    JOURNAL OF SCIENTIFIC COMPUTING, 2016, 66 (01) : 225 - 239
  • [12] On Application of the Weak Galerkin Finite Element Method to a Two-Phase Model for Subsurface Flow
    Victor Ginting
    Guang Lin
    Jiangguo Liu
    Journal of Scientific Computing, 2016, 66 : 225 - 239
  • [13] An efficient moving mesh spectral method for the phase-field model of two-phase flows
    Shen, Jie
    Yang, Xiaofeng
    JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 228 (08) : 2978 - 2992
  • [14] Unfitted Finite Element Methods for Axisymmetric Two-Phase Flow
    Garcke, Harald
    Nuernberg, Robert
    Zhao, Quan
    JOURNAL OF SCIENTIFIC COMPUTING, 2023, 97 (01)
  • [15] A Finite Element Method for Two-Phase Flow with Material Viscous Interface
    Olshanskii, Maxim
    Quaini, Annalisa
    Sun, Qi
    COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2022, 22 (02) : 443 - 464
  • [16] A viscoelastic two-phase solver using a phase-field approach
    Zografos, Konstantinos
    Afonso, Alexandre M.
    Poole, Robert J.
    Oliveira, Monica S. N.
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2020, 284
  • [17] An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows
    Shah, Abdullah
    Saeed, Sadia
    Yuan, L.
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 14 (05)
  • [18] Finite element implementation of an improved conservative level set method for two-phase flow
    Zhao, Lanhao
    Mao, Jia
    Bai, Xin
    Liu, Xiaoqing
    Li, Tongchun
    Williams, J. J. R.
    COMPUTERS & FLUIDS, 2014, 100 : 138 - 154
  • [19] A quantitative phase-field model for two-phase elastically inhomogeneous systems
    Durga, A.
    Wollants, P.
    Moelans, N.
    COMPUTATIONAL MATERIALS SCIENCE, 2015, 99 : 81 - 95
  • [20] Phase-field modeling of dendritic growth under forced flow based on adaptive finite element method
    Zhu, Chang-sheng
    Lei, Peng
    Xiao, Rong-zhen
    Feng, Li
    TRANSACTIONS OF NONFERROUS METALS SOCIETY OF CHINA, 2015, 25 (01) : 241 - 248
12345