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research-article

Coupled THINC and level set method: : A conservative interface capturing scheme with high-order surface representations

Authors:

Feng XiaoAuthors Info & Claims

Volume 373, Issue C

Pages 284 - 303

https://doi.org/10.1016/j.jcp.2018.06.074

Published: 15 November 2018 Publication History

Highlights

•

Volume of fluid method with high-order representation for moving interface.

•

Rigorous conservation of mass/volume of the transported VOF field.

•

Sub-grid resolution for fine interfacial structures that are smaller than mesh size.

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Easy-to-code and straightforward algorithm for 3D unstructured-grid.

•

Verified superior solution quality in comparison with classical VOF methods.

Abstract

In this paper, we propose a simple and accurate numerical method for capturing moving interfaces on fixed Eulerian grids by coupling the Tangent of Hyperbola Interface Capturing (THINC) method and Level Set (LS) method. The innovative and practically-significant aspects of the proposed method, so-called THINC/LS method, lie in (1) representing the interface with polynomial of high-order (arbitrary order in principle) rather than the plane representation commonly used in the Piecewise Linear Interface Calculation (PLIC) Volume of fluid (VOF) methods, (2) conserving rigorously the mass of the transported VOF field, (3) being able to resolving fine interface structures under mesh resolution, and (4) providing a straightforward and easy-to-code algorithm for 3D implementation. We verified the proposed scheme with the widely used benchmark tests. Numerical results show that this new method can obtain high-order accuracy for interface reconstruction and can produce more accurate results in capturing moving interfaces compared to the classical VOF methods.

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Cited By

Du ZLi J(2024)VOF method in two-stage fourth order time-stepping frameworkJournal of Computational Physics10.1016/j.jcp.2023.112580496:COnline publication date: 27-Feb-2024
https://dl.acm.org/doi/10.1016/j.jcp.2023.112580
Paula TAdami SAdams N(2023)A robust high-resolution discrete-equations method for compressible multi-phase flow with accurate interface capturingJournal of Computational Physics10.1016/j.jcp.2023.112371491:COnline publication date: 15-Oct-2023
https://dl.acm.org/doi/10.1016/j.jcp.2023.112371
Takagi SFu LWakimura HXiao F(2022)A novel high-order low-dissipation TENO-THINC scheme for hyperbolic conservation lawsJournal of Computational Physics10.1016/j.jcp.2021.110899452:COnline publication date: 1-Mar-2022
https://dl.acm.org/doi/10.1016/j.jcp.2021.110899
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Coupled THINC and level set method: A conservative interface capturing scheme with high-order surface representations

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Abstract
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Information & Contributors

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Published In

cover image Journal of Computational Physics

Journal of Computational Physics Volume 373, Issue C

Nov 2018

1013 pages

ISSN:0021-9991

Issue’s Table of Contents

Elsevier Inc.

Publisher

Academic Press Professional, Inc.

United States

Publication History

Published: 15 November 2018

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Cited By

Du ZLi J(2024)VOF method in two-stage fourth order time-stepping frameworkJournal of Computational Physics10.1016/j.jcp.2023.112580496:COnline publication date: 27-Feb-2024
https://dl.acm.org/doi/10.1016/j.jcp.2023.112580
Paula TAdami SAdams N(2023)A robust high-resolution discrete-equations method for compressible multi-phase flow with accurate interface capturingJournal of Computational Physics10.1016/j.jcp.2023.112371491:COnline publication date: 15-Oct-2023
https://dl.acm.org/doi/10.1016/j.jcp.2023.112371
Takagi SFu LWakimura HXiao F(2022)A novel high-order low-dissipation TENO-THINC scheme for hyperbolic conservation lawsJournal of Computational Physics10.1016/j.jcp.2021.110899452:COnline publication date: 1-Mar-2022
https://dl.acm.org/doi/10.1016/j.jcp.2021.110899
Huang ZLin GArdekani A(2022)A consistent and conservative Phase-Field method for multiphase incompressible flowsJournal of Computational and Applied Mathematics10.1016/j.cam.2022.114116408:COnline publication date: 1-Jul-2022
https://dl.acm.org/doi/10.1016/j.cam.2022.114116
Uh Zapata MItzá Balam R(2021)A conservative level-set/finite-volume method on unstructured grids based on a central interpolation schemeJournal of Computational Physics10.1016/j.jcp.2021.110576444:COnline publication date: 1-Nov-2021
https://dl.acm.org/doi/10.1016/j.jcp.2021.110576
Kumar RCheng LXiong YXie BAbgrall RXiao F(2021)THINC scaling method that bridges VOF and level set schemesJournal of Computational Physics10.1016/j.jcp.2021.110323436:COnline publication date: 1-Jul-2021
https://dl.acm.org/doi/10.1016/j.jcp.2021.110323
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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