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research-article

A conservative and well-balanced surface tension model

Authors:

Moataz O. Abu-Al-Saud,

Stéphane Popinet,

Hamdi A. TchelepiAuthors Info & Claims

Volume 371, Issue C

Pages 896 - 913

https://doi.org/10.1016/j.jcp.2018.02.022

Published: 15 October 2018 Publication History

Abstract

This article describes a new numerical scheme to model surface tension for an interface represented by a level-set function. In contrast with previous schemes, the method conserves fluid momentum and recovers Laplace's equilibrium exactly. It is formally consistent and does not require the introduction of an arbitrary interface thickness, as is classically done when approximating surface-to-volume operators using Dirac functions. Variable surface tension is naturally taken into account by the scheme and accurate solutions are obtained for thermocapillary flows. Application to the Marangoni breakup of an axisymmetric droplet shows that the method is robust also in the case of changes in the interface topology.

Highlights

•

Demonstration of well-balancing irrespective of spatial resolution.

•

Low spurious currents for the translating drop case.

•

Very accurate results for thermo-capillary migration of a drop.

•

Simple algorithms.

References

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Cited By

Pan JLong TChirco LScardovelli RPopinet SZaleski S(2024)An edge-based interface tracking (EBIT) method for multiphase-flow simulation with surface tensionJournal of Computational Physics10.1016/j.jcp.2024.113016508:COnline publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.113016
Mialhe GTanguy STranier LPopescu ELegendre D(2023)An extended model for the direct numerical simulation of droplet evaporation. Influence of the Marangoni convection on Leidenfrost dropletJournal of Computational Physics10.1016/j.jcp.2023.112366491:COnline publication date: 15-Oct-2023
https://dl.acm.org/doi/10.1016/j.jcp.2023.112366
Chirammel SSharma AMurallidharan J(2023)On ghost fluid method-based sharp interface level set method on a co-located grid and its comparison with balanced force-based diffuse interface methodJournal of Computational Physics10.1016/j.jcp.2023.112109485:COnline publication date: 15-Jul-2023
https://dl.acm.org/doi/10.1016/j.jcp.2023.112109
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Information & Contributors

Information

Published In

cover image Journal of Computational Physics

Journal of Computational Physics Volume 371, Issue C

Oct 2018

1067 pages

ISSN:0021-9991

Issue’s Table of Contents

Elsevier Inc.

Publisher

Academic Press Professional, Inc.

United States

Publication History

Published: 15 October 2018

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Cited By

Pan JLong TChirco LScardovelli RPopinet SZaleski S(2024)An edge-based interface tracking (EBIT) method for multiphase-flow simulation with surface tensionJournal of Computational Physics10.1016/j.jcp.2024.113016508:COnline publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.113016
Mialhe GTanguy STranier LPopescu ELegendre D(2023)An extended model for the direct numerical simulation of droplet evaporation. Influence of the Marangoni convection on Leidenfrost dropletJournal of Computational Physics10.1016/j.jcp.2023.112366491:COnline publication date: 15-Oct-2023
https://dl.acm.org/doi/10.1016/j.jcp.2023.112366
Chirammel SSharma AMurallidharan J(2023)On ghost fluid method-based sharp interface level set method on a co-located grid and its comparison with balanced force-based diffuse interface methodJournal of Computational Physics10.1016/j.jcp.2023.112109485:COnline publication date: 15-Jul-2023
https://dl.acm.org/doi/10.1016/j.jcp.2023.112109
Janodet RGuillamón CMoureau VMercier RLartigue GBénard PMénard TBerlemont A(2022)A massively parallel accurate conservative level set algorithm for simulating turbulent atomization on adaptive unstructured gridsJournal of Computational Physics10.1016/j.jcp.2022.111075458:COnline publication date: 1-Jun-2022
https://dl.acm.org/doi/10.1016/j.jcp.2022.111075
Valle NTrias FCastro J(2020)An energy-preserving level set method for multiphase flowsJournal of Computational Physics10.1016/j.jcp.2019.108991400:COnline publication date: 1-Jan-2020
https://dl.acm.org/doi/10.1016/j.jcp.2019.108991
Zaleski SXiao F(2020)Special issueJournal of Computational Physics10.1016/j.jcp.2019.108902402:COnline publication date: 1-Feb-2020
https://dl.acm.org/doi/10.1016/j.jcp.2019.108902

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