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
  • [21] A parallel finite element method for two-phase flow processes in porous media: OpenGeoSys with PETSc
    Wenqing Wang
    Thomas Fischer
    Björn Zehner
    Norbert Böttcher
    Uwe-Jens Görke
    Olaf Kolditz
    Environmental Earth Sciences, 2015, 73 : 2269 - 2285
  • [22] Development of meshless phase field method for two-phase flow
    Talat, Nazia
    Mavric, Bostjan
    Belsak, Grega
    Hatic, Vanja
    Bajt, Sasa
    Sarler, Bozidar
    INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 2018, 108 : 169 - 180
  • [23] 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
  • [24] A stabilized phase-field method for two-phase flow at high Reynolds number and large density/viscosity ratio
    Wang, Zhicheng
    Dong, Suchuan
    Triantafyllou, Michael S.
    Constantinides, Yiannis
    Karniadakis, George Em
    JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 397
  • [25] Phase-Field simulation of small capillary-number two-phase flow in a microtube
    He, Qunwu
    Kasagi, Nobuhide
    FLUID DYNAMICS RESEARCH, 2008, 40 (7-8) : 497 - 509
  • [26] A decoupled, stable, and linear FEM for a phase-field model of variable density two-phase incompressible surface flow
    Palzhanov, Yerbol
    Zhiliakov, Alexander
    Quaini, Annalisa
    Olshanskii, Maxim
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 387
  • [27] A phase-field method for 3D simulation of two-phase heat transfer
    Zheng, X.
    Babaee, H.
    Dong, S.
    Chryssostomidis, C.
    Karniadakis, G. E.
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2015, 82 : 282 - 298
  • [28] DYNAMIC RECRYSTALLIZATION MODEL DURING HOT WORKING BY COUPLING PHASE-FIELD METHOD AND FINITE ELEMENT METHOD
    Takaki, Tomohiro
    COMPUTATIONAL PLASTICITY XI: FUNDAMENTALS AND APPLICATIONS, 2011, : 610 - 617
  • [29] Finite element analysis of flood discharge atomization based on water-air two-phase flow
    Liu, Gang
    Tong, Fuguo
    Tian, Bin
    Gong, Jianbing
    APPLIED MATHEMATICAL MODELLING, 2020, 81 : 473 - 486
  • [30] A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows
    Yang, Jinjin
    Mao, Shipeng
    He, Xiaoming
    Yang, Xiaofeng
    He, Yinnian
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 356 : 435 - 464
12345