An efficient numerical method for simulating multiphase flows using a diffuse interface model

Hyun Geun Lee, Junseok Kim

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

This paper presents a new diffuse interface model for multiphase incompressible immiscible fluid flows with surface tension and buoyancy effects. In the new model, we employ a new chemical potential that can eliminate spurious phases at binary interfaces, and consider a phase-dependent variable mobility to investigate the effect of the mobility on the fluid dynamics. We also significantly improve the computational efficiency of the numerical algorithm by adapting the recently developed scheme for the multiphase-field equation. To illustrate the robustness and accuracy of the diffuse interface model for surface tension- and buoyancy-dominant multi-component fluid flows, we perform numerical experiments, such as equilibrium phase-field profiles, the deformation of drops in shear flow, a pressure field distribution, the efficiency of the proposed scheme, a buoyancy-driven bubble in ambient fluids, and the mixing of a six-component mixture in a gravitational field. The numerical result obtained by the present model and solution algorithm is in good agreement with the analytical solution and, furthermore, we not only remove the spurious phase-field profiles, but also improve the computational efficiency of the numerical solver.

Original languageEnglish
Pages (from-to)33-50
Number of pages18
JournalPhysica A: Statistical Mechanics and its Applications
Volume423
DOIs
Publication statusPublished - 2015 Apr 1

Fingerprint

Diffuse Interface
multiphase flow
Multiphase Flow
Buoyancy
Numerical Methods
buoyancy
Phase Field
Surface Tension
Computational Efficiency
fluid flow
Fluid Flow
interfacial tension
Immiscible Fluids
dependent variables
incompressible fluids
Chemical Potential
Gravitational Field
Shear Flow
fluid dynamics
profiles

Keywords

  • Continuum surface force
  • Diffuse interface model
  • Lagrange multiplier
  • Multiphase flows
  • Navier-Stokes equations
  • Surface tension and buoyancy effects

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistics and Probability

Cite this

An efficient numerical method for simulating multiphase flows using a diffuse interface model. / Lee, Hyun Geun; Kim, Junseok.

In: Physica A: Statistical Mechanics and its Applications, Vol. 423, 01.04.2015, p. 33-50.

Research output: Contribution to journalArticle

@article{9ab21ad1ee68421b85646ccca092b080,
title = "An efficient numerical method for simulating multiphase flows using a diffuse interface model",
abstract = "This paper presents a new diffuse interface model for multiphase incompressible immiscible fluid flows with surface tension and buoyancy effects. In the new model, we employ a new chemical potential that can eliminate spurious phases at binary interfaces, and consider a phase-dependent variable mobility to investigate the effect of the mobility on the fluid dynamics. We also significantly improve the computational efficiency of the numerical algorithm by adapting the recently developed scheme for the multiphase-field equation. To illustrate the robustness and accuracy of the diffuse interface model for surface tension- and buoyancy-dominant multi-component fluid flows, we perform numerical experiments, such as equilibrium phase-field profiles, the deformation of drops in shear flow, a pressure field distribution, the efficiency of the proposed scheme, a buoyancy-driven bubble in ambient fluids, and the mixing of a six-component mixture in a gravitational field. The numerical result obtained by the present model and solution algorithm is in good agreement with the analytical solution and, furthermore, we not only remove the spurious phase-field profiles, but also improve the computational efficiency of the numerical solver.",
keywords = "Continuum surface force, Diffuse interface model, Lagrange multiplier, Multiphase flows, Navier-Stokes equations, Surface tension and buoyancy effects",
author = "Lee, {Hyun Geun} and Junseok Kim",
year = "2015",
month = "4",
day = "1",
doi = "10.1016/j.physa.2014.12.027",
language = "English",
volume = "423",
pages = "33--50",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier",

}

TY - JOUR

T1 - An efficient numerical method for simulating multiphase flows using a diffuse interface model

AU - Lee, Hyun Geun

AU - Kim, Junseok

PY - 2015/4/1

Y1 - 2015/4/1

N2 - This paper presents a new diffuse interface model for multiphase incompressible immiscible fluid flows with surface tension and buoyancy effects. In the new model, we employ a new chemical potential that can eliminate spurious phases at binary interfaces, and consider a phase-dependent variable mobility to investigate the effect of the mobility on the fluid dynamics. We also significantly improve the computational efficiency of the numerical algorithm by adapting the recently developed scheme for the multiphase-field equation. To illustrate the robustness and accuracy of the diffuse interface model for surface tension- and buoyancy-dominant multi-component fluid flows, we perform numerical experiments, such as equilibrium phase-field profiles, the deformation of drops in shear flow, a pressure field distribution, the efficiency of the proposed scheme, a buoyancy-driven bubble in ambient fluids, and the mixing of a six-component mixture in a gravitational field. The numerical result obtained by the present model and solution algorithm is in good agreement with the analytical solution and, furthermore, we not only remove the spurious phase-field profiles, but also improve the computational efficiency of the numerical solver.

AB - This paper presents a new diffuse interface model for multiphase incompressible immiscible fluid flows with surface tension and buoyancy effects. In the new model, we employ a new chemical potential that can eliminate spurious phases at binary interfaces, and consider a phase-dependent variable mobility to investigate the effect of the mobility on the fluid dynamics. We also significantly improve the computational efficiency of the numerical algorithm by adapting the recently developed scheme for the multiphase-field equation. To illustrate the robustness and accuracy of the diffuse interface model for surface tension- and buoyancy-dominant multi-component fluid flows, we perform numerical experiments, such as equilibrium phase-field profiles, the deformation of drops in shear flow, a pressure field distribution, the efficiency of the proposed scheme, a buoyancy-driven bubble in ambient fluids, and the mixing of a six-component mixture in a gravitational field. The numerical result obtained by the present model and solution algorithm is in good agreement with the analytical solution and, furthermore, we not only remove the spurious phase-field profiles, but also improve the computational efficiency of the numerical solver.

KW - Continuum surface force

KW - Diffuse interface model

KW - Lagrange multiplier

KW - Multiphase flows

KW - Navier-Stokes equations

KW - Surface tension and buoyancy effects

UR - http://www.scopus.com/inward/record.url?scp=84921422863&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84921422863&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2014.12.027

DO - 10.1016/j.physa.2014.12.027

M3 - Article

AN - SCOPUS:84921422863

VL - 423

SP - 33

EP - 50

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

ER -