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On the implicit immersed boundary method in coupled discrete element and lattice Boltzmann method

Min Wang Orcid Logo, Yuntian Feng Orcid Logo, Tongming Qu Orcid Logo

International Journal for Numerical and Analytical Methods in Geomechanics, Volume: 44, Issue: 4, Pages: 516 - 532

Swansea University Author: Yuntian Feng Orcid Logo

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DOI (Published version): 10.1002/nag.3035

Abstract

The coupled discrete element method and lattice Boltzmann method (DEMLBM) has increasingly drawn attention of researchers in geomechanics due to its mesoscopic nature since 2000. Immersed boundary method (IBM) and immersed moving boundary (IMB) are two popular schemes for coupling fluid particle in...

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Published in: International Journal for Numerical and Analytical Methods in Geomechanics
ISSN: 0363-9061 1096-9853
Published: Wiley 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa52912
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Abstract: The coupled discrete element method and lattice Boltzmann method (DEMLBM) has increasingly drawn attention of researchers in geomechanics due to its mesoscopic nature since 2000. Immersed boundary method (IBM) and immersed moving boundary (IMB) are two popular schemes for coupling fluid particle in DEMLBM. This work aims at coupling DEM and LBM using the latest IBM algorithm and investigating its accuracy, computational efficiency, and applicability. Two benchmark tests, interstitial fluid flow in an ideal packing and single particle sedimentation in viscous fluid, are carried out to demonstrate the accuracy of IBM through semiā€empirical Ergun equation, finite element method (FEM), and IMB. Then, simulations of particle migration with relatively large velocity in Poiseuille flow are utilized to address limitations of IBM in DEMLBM modeling. In addition, advantages and deficiencies of IBM are discussed and compared with IMB. It is found that the accuracy of IBM can be only guaranteed when sufficient boundary points are used and it is not suitable for geomechanical problems involving large fluid or particle velocity.
College: Professional Services
Issue: 4
Start Page: 516
End Page: 532