Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme
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 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. Overall, the simplified IMB scheme is proved to be robust and sufficiently accurate and simpler and more effective than the enhanced scheme.
- Authors:
-
[1];
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Swansea Univ., Wales (United Kingdom)
- Dongguan Univ. of Technology (China). Key Lab. of Distributed Energy Systems of Guangdong Province
- Taiyuan University of Technology (China)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1726200
- Report Number(s):
- LA-UR-20-23321
Journal ID: ISSN 0029-5981
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal for Numerical Methods in Engineering
- Additional Journal Information:
- Journal Volume: 121; Journal Issue: 21; Journal ID: ISSN 0029-5981
- Publisher:
- Wiley
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; Discrete element method; fluid-particle interaction; immersed moving boundary; lattice Boltzmann method; multiphase flow
Citation Formats
Wang, Min, Feng, Y. T., Qu, T. M., Tao, Shi, and Zhao, T. T. Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme. United States: N. p., 2020.
Web. doi:10.1002/nme.6499.
Wang, Min, Feng, Y. T., Qu, T. M., Tao, Shi, & Zhao, T. T. Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme. United States. https://doi.org/10.1002/nme.6499
Wang, Min, Feng, Y. T., Qu, T. M., Tao, Shi, and Zhao, T. T. Wed .
"Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme". United States. https://doi.org/10.1002/nme.6499. https://www.osti.gov/servlets/purl/1726200.
@article{osti_1726200,
title = {Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme},
author = {Wang, Min and Feng, Y. T. and Qu, T. M. and Tao, Shi and Zhao, T. T.},
abstractNote = {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. Overall, the simplified IMB scheme is proved to be robust and sufficiently accurate and simpler and more effective than the enhanced scheme.},
doi = {10.1002/nme.6499},
journal = {International Journal for Numerical Methods in Engineering},
number = 21,
volume = 121,
place = {United States},
year = {Wed Aug 05 00:00:00 EDT 2020},
month = {Wed Aug 05 00:00:00 EDT 2020}
}
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