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An enhanced momentum conservation treatment for FDM simulation of two-phase flows with large density ratio

Xin Wang Wang, Min Luo, Harshinie Karunarathna Orcid Logo, Dominic Reeve Orcid Logo

Journal of Computational Physics, Volume: 478, Start page: 111949

Swansea University Authors: Xin Wang Wang, Harshinie Karunarathna Orcid Logo, Dominic Reeve Orcid Logo

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DOI (Published version): 10.1016/j.jcp.2023.111949

Abstract

The differences of the fluid properties across a fluid interface in two-phase flow often brings difficulties into computational simulations, as the conservation of mass, momentum and energy requires more consideration at the interfacial region. Velocity advection and unsynchronised variables lead to...

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Published in: Journal of Computational Physics
ISSN: 0021-9991
Published: Elsevier BV 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa62378
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spelling 2023-02-16T15:42:45.9555839 v2 62378 2023-01-19 An enhanced momentum conservation treatment for FDM simulation of two-phase flows with large density ratio b0ce4aa1ac181e0ccc3388ce3641111b Xin Wang Wang Xin Wang Wang true false 0d3d327a240d49b53c78e02b7c00e625 0000-0002-9087-3811 Harshinie Karunarathna Harshinie Karunarathna true false 3e76fcc2bb3cde4ddee2c8edfd2f0082 0000-0003-1293-4743 Dominic Reeve Dominic Reeve true false 2023-01-19 FGSEN The differences of the fluid properties across a fluid interface in two-phase flow often brings difficulties into computational simulations, as the conservation of mass, momentum and energy requires more consideration at the interfacial region. Velocity advection and unsynchronised variables lead to loss of conservation of momentum across the interface, which results in an unphysical interface deformation and spurious interfacial currents. In this study, we investigate the numerical errors and instabilities in the interfacial region, and propose a new algorithm with strong temporal coupling manner and momentum-based velocity reconstruction, to enhance the conservation properties. The capability of the proposed algorithm is demonstrated by two idealised cases including a one-dimensional convection case of a dense droplet and a standing wave case, and one laboratory dambreak case. Results are compared with theoretical results, experimental data or existing simulations, which demonstrate the advantages of the proposed algorithm on the conservation of mass, momentum and energy, and the mitigation of unphysical interfacial transport. Without modification of any numerical methods or discretization schemes, the algorithm keeps its simplicity and can work with the existing methods, and it is straightforward to implement. Journal Article Journal of Computational Physics 478 111949 Elsevier BV 0021-9991 Two-phase flow; Momentum conservation; Fluid interface; Free surface; Computational methods; REEF3D 1 4 2023 2023-04-01 10.1016/j.jcp.2023.111949 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University SU Library paid the OA fee (TA Institutional Deal) The authors would like to acknowledge the support Xin Wang received through a Swansea College of Engineering PhD Scholarship and useful discussions with Dr Jose Horrillo-Caraballo. Dr Min Luo also acknowledges the support of the Science Foundation of Donghai Laboratory (No. DH-2022KF0311). 2023-02-16T15:42:45.9555839 2023-01-19T14:01:14.8668756 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Xin Wang Wang 1 Min Luo 2 Harshinie Karunarathna 0000-0002-9087-3811 3 Dominic Reeve 0000-0003-1293-4743 4 62378__26602__a6a86d6ec9b9419f87f29992930e0226.pdf 62378_VoR.pdf 2023-02-16T15:41:09.3814172 Output 3438753 application/pdf Version of Record true © 2023 The Author(s). This is an open access article under the CC BY license true eng http://creativecommons.org/licenses/by/4.0/
title An enhanced momentum conservation treatment for FDM simulation of two-phase flows with large density ratio
spellingShingle An enhanced momentum conservation treatment for FDM simulation of two-phase flows with large density ratio
Xin Wang Wang
Harshinie Karunarathna
Dominic Reeve
title_short An enhanced momentum conservation treatment for FDM simulation of two-phase flows with large density ratio
title_full An enhanced momentum conservation treatment for FDM simulation of two-phase flows with large density ratio
title_fullStr An enhanced momentum conservation treatment for FDM simulation of two-phase flows with large density ratio
title_full_unstemmed An enhanced momentum conservation treatment for FDM simulation of two-phase flows with large density ratio
title_sort An enhanced momentum conservation treatment for FDM simulation of two-phase flows with large density ratio
author_id_str_mv b0ce4aa1ac181e0ccc3388ce3641111b
0d3d327a240d49b53c78e02b7c00e625
3e76fcc2bb3cde4ddee2c8edfd2f0082
author_id_fullname_str_mv b0ce4aa1ac181e0ccc3388ce3641111b_***_Xin Wang Wang
0d3d327a240d49b53c78e02b7c00e625_***_Harshinie Karunarathna
3e76fcc2bb3cde4ddee2c8edfd2f0082_***_Dominic Reeve
author Xin Wang Wang
Harshinie Karunarathna
Dominic Reeve
author2 Xin Wang Wang
Min Luo
Harshinie Karunarathna
Dominic Reeve
format Journal article
container_title Journal of Computational Physics
container_volume 478
container_start_page 111949
publishDate 2023
institution Swansea University
issn 0021-9991
doi_str_mv 10.1016/j.jcp.2023.111949
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description The differences of the fluid properties across a fluid interface in two-phase flow often brings difficulties into computational simulations, as the conservation of mass, momentum and energy requires more consideration at the interfacial region. Velocity advection and unsynchronised variables lead to loss of conservation of momentum across the interface, which results in an unphysical interface deformation and spurious interfacial currents. In this study, we investigate the numerical errors and instabilities in the interfacial region, and propose a new algorithm with strong temporal coupling manner and momentum-based velocity reconstruction, to enhance the conservation properties. The capability of the proposed algorithm is demonstrated by two idealised cases including a one-dimensional convection case of a dense droplet and a standing wave case, and one laboratory dambreak case. Results are compared with theoretical results, experimental data or existing simulations, which demonstrate the advantages of the proposed algorithm on the conservation of mass, momentum and energy, and the mitigation of unphysical interfacial transport. Without modification of any numerical methods or discretization schemes, the algorithm keeps its simplicity and can work with the existing methods, and it is straightforward to implement.
published_date 2023-04-01T04:21:57Z
_version_ 1763754447493660672
score 11.036706

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