Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · International Journal for Numerical and Analytical Methods in Geomechanics
DOI:https://doi.org/10.1002/nag.3035· OSTI ID:1821364
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 semi-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.
Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1821364
Report Number(s):
LA-UR--19-30276
Journal Information:
International Journal for Numerical and Analytical Methods in Geomechanics, Journal Name: International Journal for Numerical and Analytical Methods in Geomechanics Journal Issue: 4 Vol. 44; ISSN 0363-9061
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English

References (46)

Direct numerical simulation of particulate flow via multigrid FEM techniques and the fictitious boundary method journal January 2006
LBM-DEM modeling of fluid-solid interaction in porous media: LBM-DEM MODELING OF FLUID-SOLID INTERACTION IN POROUS MEDIA journal June 2012
A continuum-discrete model using Darcy's law: formulation and verification: A CONTINUUM-DISCRETE MODEL USING DARCY'S LAW
  • Goodarzi, Majid; Kwok, Chung Yee; Tham, Leslie George
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 39, Issue 3 https://doi.org/10.1002/nag.2319
journal August 2014
Extended CFD-DEM for free-surface flow with multi-size granules: CFD-DEM for Free-Surface Flow
  • Jing, L.; Kwok, C. Y.; Leung, Y. F.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 40, Issue 1 https://doi.org/10.1002/nag.2387
journal May 2015
Coupled bonded particle and lattice Boltzmann method for modelling fluid-solid interaction: Coupled BPLBM and Its Application in Geomechanics
  • Wang, Min; Feng, Y. T.; Wang, C. Y.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 40, Issue 10 https://doi.org/10.1002/nag.2481
journal January 2016
A coupled 3-dimensional bonded discrete element and lattice Boltzmann method for fluid-solid coupling in cohesive geomaterials
  • Wang, Min; Feng, Y. T.; Pande, G. N.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 42, Issue 12 https://doi.org/10.1002/nag.2799
journal May 2018
A unified CFD-DEM approach for modeling of debris flow impacts on flexible barriers: A unified CFD-DEM approach for modeling of debris flow impacts on flexible barriers journal June 2018
Hydro‐micromechanical modeling of wave propagation in saturated granular crystals
  • Cheng, Hongyang; Luding, Stefan; Rivas, Nicolás
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 43, Issue 5 https://doi.org/10.1002/nag.2920
journal March 2019
A continuum-discrete hydromechanical analysis of granular deposit liquefaction journal January 2004
Coupled lattice Boltzmann method and discrete element modelling of particle transport in turbulent fluid flows: Computational issues journal January 2007
An Accurate Curved Boundary Treatment in the Lattice Boltzmann Method journal November 1999
Flow in porous media I: A theoretical derivation of Darcy's law journal January 1986
Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice Boltzmann BGK model journal April 1997
Multiple-relaxation-time lattice Boltzmann method for study of two-lid-driven cavity flow solution multiplicity journal August 2013
Periodic boundary conditions of discrete element method-lattice Boltzmann method for fluid-particle coupling journal May 2017
Numerical analysis of blood flow in the heart journal November 1977
Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe journal September 1992
Lattice Boltzmann method for moving boundaries journal January 2003
Improved coupling of time integration and hydrodynamic interaction in particle suspensions using the lattice Boltzmann and discrete element methods journal April 2018
A novel algorithm of immersed moving boundary scheme for fluid–particle interactions in DEM–LBM journal April 2019
A flexible forcing three dimension IB–LBM scheme for flow past stationary and moving spheres journal May 2014
Fluid coupled-DEM modelling of undrained behavior of granular media journal September 2008
Numerical modelling of fluid-induced soil erosion in granular filters using a coupled bonded particle lattice Boltzmann method journal February 2017
Numerical investigation of initiation and propagation of hydraulic fracture using the coupled Bonded Particle–Lattice Boltzmann Method journal March 2017
Combined multi-direct forcing and immersed boundary method for simulating flows with moving particles journal March 2008
A bonded-particle model for rock journal December 2004
The immersed boundary-lattice Boltzmann method for solving fluid–particles interaction problems journal April 2004
An immersed boundary method with direct forcing for the simulation of particulate flows journal November 2005
Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications journal April 2009
A 2D DEM–LBM study on soil behaviour due to locally injected fluid journal April 2012
A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating incompressible viscous flows journal May 2006
PIBM: Particulate immersed boundary method for fluid–particle interaction problems journal March 2015
Modeling granular soils liquefaction using coupled lattice Boltzmann method and discrete element method journal December 2014
Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation journal July 1994
Lattice-Boltzmann Simulations of Particle-Fluid Suspensions journal January 2001
Direct simulation of fluid-solid mechanics in porous media using the discrete element and lattice-Boltzmann methods journal January 2007
Boundary conditions for the lattice Boltzmann method journal July 1996
Sand production simulation coupling DEM with CFD journal May 2014
Multiple–relaxation–time lattice Boltzmann models in three dimensions
  • d'Humières, Dominique
  • Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 360, Issue 1792 https://doi.org/10.1098/rsta.2001.0955
journal March 2002
A direct simulation method for particle‐fluid systems journal March 2004
Modelling of sand production using a mesoscopic bonded particle lattice Boltzmann method journal March 2019
A Lattice-Boltzmann Method for Partially Saturated Computational Cells journal December 1998
Lattice BGK Models for Navier-Stokes Equation journal February 1992
A discrete numerical model for granular assemblies journal March 1979
A Granular Assembly Simulation for the Seismic Liquefaction of sand journal January 1988
An accurate curved boundary treatment in the lattice Boltzmann method conference November 1999

Similar Records

Instability and treatments of the coupled discrete element and lattice Boltzmann method by the immersed moving boundary scheme
Journal Article · Tue Aug 04 20:00:00 EDT 2020 · International Journal for Numerical Methods in Engineering · OSTI ID:1726200

A novel algorithm of immersed moving boundary scheme for fluid-particle interactions in DEMLBM
Journal Article · Sun Dec 09 19:00:00 EST 2018 · Computer Methods in Applied Mechanics and Engineering · OSTI ID:1487364

A second-order accurate immersed boundary-lattice Boltzmann method for particle-laden flows
Journal Article · Tue Jul 01 00:00:00 EDT 2014 · Journal of Computational Physics · OSTI ID:22314874