article

A conservative phase field method for solving incompressible two-phase flows

Authors:

Pao-Hsiung Chiu,

Yan-Ting LinAuthors Info & Claims

Journal of Computational Physics, Volume 230, Issue 1

Pages 185 - 204

https://doi.org/10.1016/j.jcp.2010.09.021

Published: 01 January 2011 Publication History

Abstract

In this paper a conservative phase-field method based on the work of Sun and Beckermann [Y. Sun, C. Beckermann, Sharp interface tracking using the phase-field equation, J. Comput. Phys. 220 (2007) 626-653] for solving the two- and three-dimensional two-phase incompressible Navier-Stokes equations is proposed. The present method can preserve the total mass as the Cahn-Hilliard equation, but the calculation and implementation are much simpler than that. The dispersion-relation-preserving schemes are utilized for the advection terms while the Helmholtz smoother is applied to compute the surface-tension force term. To verify the proposed method, several benchmarks are examined and shown to have good agreements with previous results. It also shows that the satisfactions of mass conservations are guaranteed.

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Cited By

Li WWu KDesbrun M(2024)Kinetic Simulation of Turbulent Multifluid FlowsACM Transactions on Graphics10.1145/365817843:4(1-17)Online publication date: 19-Jul-2024
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Lian TMatsushita SAoki T(2024)The Implementation of Gas-liquid Two-phase Flow Simulations with Surfactant Transport Based on GPU Computing and Adaptive Mesh RefinementProceedings of the International Conference on High Performance Computing in Asia-Pacific Region Workshops10.1145/3636480.3636485(99-110)Online publication date: 11-Jan-2024
https://dl.acm.org/doi/10.1145/3636480.3636485
Yamashita SMatsushita SSuekane T(2024)Conservative transport model for surfactant on the interface based on the phase-field methodJournal of Computational Physics10.1016/j.jcp.2024.113292516:COnline publication date: 1-Nov-2024
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A conservative phase field method for solving incompressible two-phase flows
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cover image Journal of Computational Physics

Journal of Computational Physics Volume 230, Issue 1

January, 2011

288 pages

ISSN:0021-9991

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Copyright © Elsevier Inc. © 2010.

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Academic Press Professional, Inc.

United States

Publication History

Published: 01 January 2011

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Cited By

Li WWu KDesbrun M(2024)Kinetic Simulation of Turbulent Multifluid FlowsACM Transactions on Graphics10.1145/365817843:4(1-17)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658178
Lian TMatsushita SAoki T(2024)The Implementation of Gas-liquid Two-phase Flow Simulations with Surfactant Transport Based on GPU Computing and Adaptive Mesh RefinementProceedings of the International Conference on High Performance Computing in Asia-Pacific Region Workshops10.1145/3636480.3636485(99-110)Online publication date: 11-Jan-2024
https://dl.acm.org/doi/10.1145/3636480.3636485
Yamashita SMatsushita SSuekane T(2024)Conservative transport model for surfactant on the interface based on the phase-field methodJournal of Computational Physics10.1016/j.jcp.2024.113292516:COnline publication date: 1-Nov-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.113292
Jain S(2024)A model for transport of interface-confined scalars and insoluble surfactants in two-phase flowsJournal of Computational Physics10.1016/j.jcp.2024.113277515:COnline publication date: 15-Oct-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.113277
He ZTan S(2024)On immiscibility preservation conditions of material interfaces in the generic five-equation modelJournal of Computational Physics10.1016/j.jcp.2024.113192513:COnline publication date: 15-Sep-2024
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Tonicello NIhme M(2024)A high-order diffused-interface approach for two-phase compressible flow simulations using a discontinuous Galerkin frameworkJournal of Computational Physics10.1016/j.jcp.2024.112983508:COnline publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.112983
Hwang HJain S(2024)A robust phase-field method for two-phase flows on unstructured gridsJournal of Computational Physics10.1016/j.jcp.2024.112972507:COnline publication date: 15-Jun-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.112972
Ma YXiao XLi WDesbrun MLiu X(2024)Hybrid LBM-FVM solver for two-phase flow simulationJournal of Computational Physics10.1016/j.jcp.2024.112920506:COnline publication date: 1-Jun-2024
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Zhao CMaarek JTaleghani SZaleski S(2024)A hybrid continuum surface tension force for the three-phase VOF methodJournal of Computational Physics10.1016/j.jcp.2024.112872504:COnline publication date: 1-May-2024
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Mirjalili SMani A(2024)A conservative second order phase field model for simulation of N-phase flowsJournal of Computational Physics10.1016/j.jcp.2023.112657498:COnline publication date: 1-Feb-2024
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