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Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model

Song-Gui Chen, Chuan-Hu Zhang, Yun-Tian Feng, Qi-Cheng Sun, Feng Jin, Yuntian Feng Orcid Logo

Engineering Applications of Computational Fluid Mechanics, Volume: 10, Issue: 1, Pages: 347 - 360

Swansea University Author: Yuntian Feng Orcid Logo

DOI (Published version): 10.1080/19942060.2016.1169946

Abstract

This paper presents a three-dimensional (3D) parallel multiple-relaxation-time lattice Boltzmann model (MRT-LBM) for Bingham plastics which overcomes numerical instabilities in the simulation of non-Newtonian fluids for the Bhatnagar–Gross–Krook (BGK) model. The MRT-LBM and several related mathemati...

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Published in: Engineering Applications of Computational Fluid Mechanics
Published: 2016
URI: https://cronfa.swan.ac.uk/Record/cronfa28924
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spelling 2017-02-15T11:39:06.2668727 v2 28924 2016-06-15 Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model d66794f9c1357969a5badf654f960275 0000-0002-6396-8698 Yuntian Feng Yuntian Feng true false 2016-06-15 CIVL This paper presents a three-dimensional (3D) parallel multiple-relaxation-time lattice Boltzmann model (MRT-LBM) for Bingham plastics which overcomes numerical instabilities in the simulation of non-Newtonian fluids for the Bhatnagar–Gross–Krook (BGK) model. The MRT-LBM and several related mathematical models are briefly described. Papanastasiou’s modified model is incorporated for better numerical stability. The impact of the relaxation parameters of the model is studied in detail. The MRT-LBM is then validated through a benchmark problem: a 3D steady Poiseuille flow. The results from the numerical simulations are consistent with those derived analytically which indicates that the MRT-LBM effectively simulates Bingham fluids but with better stability. A parallel MRT-LBM framework is introduced, and the parallel efficiency is tested through a simple case. The MRT-LBM is shown to be appropriate for parallel implementation and to have high efficiency. Finally, a Bingham fluid flowing past a square-based prism with a fixed sphere is simulated. It is found the drag coefficient is a function of both Reynolds number (Re) and Bingham number (Bn). These results reveal the flow behavior of Bingham plastics. Journal Article Engineering Applications of Computational Fluid Mechanics 10 1 347 360 Bingham plastic, multiple-relaxation-time, lattice Boltzmann model, parallel frame, drag coefficient 22 4 2016 2016-04-22 10.1080/19942060.2016.1169946 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2017-02-15T11:39:06.2668727 2016-06-15T20:21:45.1325069 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Song-Gui Chen 1 Chuan-Hu Zhang 2 Yun-Tian Feng 3 Qi-Cheng Sun 4 Feng Jin 5 Yuntian Feng 0000-0002-6396-8698 6 0028924-15022017113803.pdf chen2017.pdf 2017-02-15T11:38:03.5700000 Output 2189396 application/pdf Version of Record true 2017-02-15T00:00:00.0000000 false eng
title Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model
spellingShingle Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model
Yuntian Feng
title_short Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model
title_full Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model
title_fullStr Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model
title_full_unstemmed Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model
title_sort Three-dimensional simulations of Bingham plastic flows with the multiple-relaxation-time lattice Boltzmann model
author_id_str_mv d66794f9c1357969a5badf654f960275
author_id_fullname_str_mv d66794f9c1357969a5badf654f960275_***_Yuntian Feng
author Yuntian Feng
author2 Song-Gui Chen
Chuan-Hu Zhang
Yun-Tian Feng
Qi-Cheng Sun
Feng Jin
Yuntian Feng
format Journal article
container_title Engineering Applications of Computational Fluid Mechanics
container_volume 10
container_issue 1
container_start_page 347
publishDate 2016
institution Swansea University
doi_str_mv 10.1080/19942060.2016.1169946
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 This paper presents a three-dimensional (3D) parallel multiple-relaxation-time lattice Boltzmann model (MRT-LBM) for Bingham plastics which overcomes numerical instabilities in the simulation of non-Newtonian fluids for the Bhatnagar–Gross–Krook (BGK) model. The MRT-LBM and several related mathematical models are briefly described. Papanastasiou’s modified model is incorporated for better numerical stability. The impact of the relaxation parameters of the model is studied in detail. The MRT-LBM is then validated through a benchmark problem: a 3D steady Poiseuille flow. The results from the numerical simulations are consistent with those derived analytically which indicates that the MRT-LBM effectively simulates Bingham fluids but with better stability. A parallel MRT-LBM framework is introduced, and the parallel efficiency is tested through a simple case. The MRT-LBM is shown to be appropriate for parallel implementation and to have high efficiency. Finally, a Bingham fluid flowing past a square-based prism with a fixed sphere is simulated. It is found the drag coefficient is a function of both Reynolds number (Re) and Bingham number (Bn). These results reveal the flow behavior of Bingham plastics.
published_date 2016-04-22T03:35:17Z
_version_ 1763751512200183808
score 11.036706

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