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Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme

Min Wang, Yuntian Feng Orcid Logo, T.M. Qu, Shi Tao, T.T. Zhao

International Journal for Numerical Methods in Engineering, Volume: 121, Issue: 21

Swansea University Author: Yuntian Feng Orcid Logo

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DOI (Published version): 10.1002/nme.6499

Abstract

The immersed moving boundary (IMB) scheme has been extensively used to couple the discrete element method (DEM) with the lattice Boltzmann method (LBM). In the literature, only the formulation of IMB for lattice nodal cells covered by a single‐solid particle was given. The treatment of situations wh...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981 1097-0207
Published: Wiley 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa54581
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spelling 2020-10-26T15:48:42.3297949 v2 54581 2020-07-01 Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme d66794f9c1357969a5badf654f960275 0000-0002-6396-8698 Yuntian Feng Yuntian Feng true false 2020-07-01 CIVL The immersed moving boundary (IMB) scheme has been extensively used to couple the discrete element method (DEM) with the lattice Boltzmann method (LBM). In the literature, only the formulation of IMB for lattice nodal cells covered by a single‐solid particle was given. The treatment of situations where a nodal cell is covered by two or more solid particles is seldom discussed. It is found that some numerical instability can occur for such situations due to an inappropriate computation of the weighting function in the IMB formulation. This work presents an enhanced treatment that can resolve the issue and validates it using some benchmark tests. Furthermore, to avoid the extra costs associated with the treatment and simplify the complicated procedure introduced, a simplified IMB scheme is proposed. The accuracy of both enhanced and simplified IMB schemes are validated by test cases including single‐particle sedimentation, two‐particle drafting‐kissing‐tumbling phenomenon, and multiple‐particle sedimentation. Then, the robustness of both schemes is examined and discussed using a specially designed flow past cylinders test. The simplified IMB scheme is proved to be robust and sufficiently accurate and simpler and more effective than the enhanced scheme. Journal Article International Journal for Numerical Methods in Engineering 121 21 Wiley 0029-5981 1097-0207 discrete element method, fluid-particle interaction, immersed moving boundary, lattice Boltzmannmethod, multiphase flow 5 8 2020 2020-08-05 10.1002/nme.6499 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2020-10-26T15:48:42.3297949 2020-07-01T13:43:48.7095067 Min Wang 1 Yuntian Feng 0000-0002-6396-8698 2 T.M. Qu 3 Shi Tao 4 T.T. Zhao 5 54581__17916__6700c952b46a43d1ac7b369944fce2a0.pdf 54581.pdf 2020-08-14T10:03:52.3489242 Output 2360396 application/pdf Accepted Manuscript true 2021-07-05T00:00:00.0000000 true eng
title Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme
spellingShingle Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme
Yuntian Feng
title_short Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme
title_full Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme
title_fullStr Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme
title_full_unstemmed Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme
title_sort Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme
author_id_str_mv d66794f9c1357969a5badf654f960275
author_id_fullname_str_mv d66794f9c1357969a5badf654f960275_***_Yuntian Feng
author Yuntian Feng
author2 Min Wang
Yuntian Feng
T.M. Qu
Shi Tao
T.T. Zhao
format Journal article
container_title International Journal for Numerical Methods in Engineering
container_volume 121
container_issue 21
publishDate 2020
institution Swansea University
issn 0029-5981
1097-0207
doi_str_mv 10.1002/nme.6499
publisher Wiley
document_store_str 1
active_str 0
description The immersed moving boundary (IMB) scheme has been extensively used to couple the discrete element method (DEM) with the lattice Boltzmann method (LBM). In the literature, only the formulation of IMB for lattice nodal cells covered by a single‐solid particle was given. The treatment of situations where a nodal cell is covered by two or more solid particles is seldom discussed. It is found that some numerical instability can occur for such situations due to an inappropriate computation of the weighting function in the IMB formulation. This work presents an enhanced treatment that can resolve the issue and validates it using some benchmark tests. Furthermore, to avoid the extra costs associated with the treatment and simplify the complicated procedure introduced, a simplified IMB scheme is proposed. The accuracy of both enhanced and simplified IMB schemes are validated by test cases including single‐particle sedimentation, two‐particle drafting‐kissing‐tumbling phenomenon, and multiple‐particle sedimentation. Then, the robustness of both schemes is examined and discussed using a specially designed flow past cylinders test. The simplified IMB scheme is proved to be robust and sufficiently accurate and simpler and more effective than the enhanced scheme.
published_date 2020-08-05T04:09:15Z
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score 10.899704