Multiscale method based on coupled lattice‐Boltzmann and Langevin‐dynamics for direct simulation of nanoscale particle/polymer suspensions in complex flows
Abstract
Summary A hybrid computational method coupling the lattice‐Boltzmann (LB) method and a Langevin‐dynamics (LD) method is developed to simulate nanoscale particle and polymer (NPP) suspensions in the presence of both thermal fluctuation and long‐range many‐body hydrodynamic interactions (HIs). Brownian motion of the NPP is explicitly captured by a stochastic forcing term in the LD method. The LD method is two‐way coupled to the nonfluctuating LB fluid through a discrete LB forcing source distribution to capture the long‐range HI. To ensure intrinsically linear scalability with respect to the number of particles, a Eulerian‐host algorithm for short‐distance particle neighbor search and interaction is developed and embedded to LB‐LD framework. The validity and accuracy of the LB‐LD approach are demonstrated through several sample problems. The simulation results show good agreements with theory and experiment. The LB‐LD approach can be favorably incorporated into complex multiscale computational frameworks for efficiently simulating multiscale multicomponent particulate suspension systems such as complex blood suspensions.
- Authors:
-
- George W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta Georgia, Parker H. Petit Institute for Bioengineering and Bioscience Georgia Institute of Technology Atlanta Georgia
- George W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta Georgia
- Sandia National Laboratories Albuquerque New Mexico
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1531180
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- International Journal for Numerical Methods in Fluids
- Additional Journal Information:
- Journal Name: International Journal for Numerical Methods in Fluids Journal Volume: 91 Journal Issue: 5; Journal ID: ISSN 0271-2091
- Publisher:
- Wiley Blackwell (John Wiley & Sons)
- Country of Publication:
- United Kingdom
- Language:
- English
Citation Formats
Liu, Zixiang, Zhu, Yuanzheng, Clausen, Jonathan R., Lechman, Jeremy B., Rao, Rekha R., and Aidun, Cyrus K. Multiscale method based on coupled lattice‐Boltzmann and Langevin‐dynamics for direct simulation of nanoscale particle/polymer suspensions in complex flows. United Kingdom: N. p., 2019.
Web. doi:10.1002/fld.4752.
Liu, Zixiang, Zhu, Yuanzheng, Clausen, Jonathan R., Lechman, Jeremy B., Rao, Rekha R., & Aidun, Cyrus K. Multiscale method based on coupled lattice‐Boltzmann and Langevin‐dynamics for direct simulation of nanoscale particle/polymer suspensions in complex flows. United Kingdom. https://doi.org/10.1002/fld.4752
Liu, Zixiang, Zhu, Yuanzheng, Clausen, Jonathan R., Lechman, Jeremy B., Rao, Rekha R., and Aidun, Cyrus K. Fri .
"Multiscale method based on coupled lattice‐Boltzmann and Langevin‐dynamics for direct simulation of nanoscale particle/polymer suspensions in complex flows". United Kingdom. https://doi.org/10.1002/fld.4752.
@article{osti_1531180,
title = {Multiscale method based on coupled lattice‐Boltzmann and Langevin‐dynamics for direct simulation of nanoscale particle/polymer suspensions in complex flows},
author = {Liu, Zixiang and Zhu, Yuanzheng and Clausen, Jonathan R. and Lechman, Jeremy B. and Rao, Rekha R. and Aidun, Cyrus K.},
abstractNote = {Summary A hybrid computational method coupling the lattice‐Boltzmann (LB) method and a Langevin‐dynamics (LD) method is developed to simulate nanoscale particle and polymer (NPP) suspensions in the presence of both thermal fluctuation and long‐range many‐body hydrodynamic interactions (HIs). Brownian motion of the NPP is explicitly captured by a stochastic forcing term in the LD method. The LD method is two‐way coupled to the nonfluctuating LB fluid through a discrete LB forcing source distribution to capture the long‐range HI. To ensure intrinsically linear scalability with respect to the number of particles, a Eulerian‐host algorithm for short‐distance particle neighbor search and interaction is developed and embedded to LB‐LD framework. The validity and accuracy of the LB‐LD approach are demonstrated through several sample problems. The simulation results show good agreements with theory and experiment. The LB‐LD approach can be favorably incorporated into complex multiscale computational frameworks for efficiently simulating multiscale multicomponent particulate suspension systems such as complex blood suspensions.},
doi = {10.1002/fld.4752},
journal = {International Journal for Numerical Methods in Fluids},
number = 5,
volume = 91,
place = {United Kingdom},
year = {Fri Jul 05 00:00:00 EDT 2019},
month = {Fri Jul 05 00:00:00 EDT 2019}
}
https://doi.org/10.1002/fld.4752
Web of Science
Works referenced in this record:
Inhibition of high shear arterial thrombosis by charged nanoparticles
journal, July 2018
- Griffin, Michael T.; Zhu, Yuanzheng; Liu, Zixiang
- Biomicrofluidics, Vol. 12, Issue 4
Shear-induced self-diffusion in non-colloidal suspensions
journal, January 1999
- Sierou, Asimina; Brady, John F.
- Journal of Fluid Mechanics, Vol. 506
Stokesian Dynamics
journal, January 1988
- Brady, J. F.; Bossis, G.
- Annual Review of Fluid Mechanics, Vol. 20, Issue 1
Numerical simulations of cell flow and trapping within microfluidic channels for stiffness based cell isolation
journal, March 2019
- Aljaghtham, Mutabe S.; Liu, Zixiang L.; Guo, Jing J.
- Journal of Biomechanics, Vol. 85
Performance of mesoscale modeling methods for predicting rheological properties of charged polystyrene/water suspensions
journal, March 2012
- Schunk, P. R.; Pierce, F.; Lechman, J. B.
- Journal of Rheology, Vol. 56, Issue 2
Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules
journal, July 1967
- Verlet, Loup
- Physical Review, Vol. 159, Issue 1
Self-diffusion in sheared suspensions by dynamic simulation
journal, December 1999
- Foss, David R.; Brady, John F.
- Journal of Fluid Mechanics, Vol. 401
Particle dynamics modeling methods for colloid suspensions
journal, May 2014
- Bolintineanu, Dan S.; Grest, Gary S.; Lechman, Jeremy B.
- Computational Particle Mechanics, Vol. 1, Issue 3
Spectral Ewald Acceleration of Stokesian Dynamics for polydisperse suspensions
journal, February 2016
- Wang, Mu; Brady, John F.
- Journal of Computational Physics, Vol. 306
Nanoparticle diffusion in sheared cellular blood flow
journal, May 2019
- Liu, Zixiang; Clausen, Jonathan R.; Rao, Rekha R.
- Journal of Fluid Mechanics, Vol. 871
The dynamics and scaling law for particles suspended in shear flow with inertia
journal, November 2000
- Ding, E-Jiang; Aidun, Cyrus K.
- Journal of Fluid Mechanics, Vol. 423
Dissipative particle dynamics: Bridging the gap between atomistic and mesoscopic simulation
journal, September 1997
- Groot, Robert D.; Warren, Patrick B.
- The Journal of Chemical Physics, Vol. 107, Issue 11
Discrete lattice effects on the forcing term in the lattice Boltzmann method
journal, April 2002
- Guo, Zhaoli; Zheng, Chuguang; Shi, Baochang
- Physical Review E, Vol. 65, Issue 4
Computational modelling of flow through prosthetic heart valves using the entropic lattice-Boltzmann method
journal, March 2014
- Yun, B. Min; Dasi, L. P.; Aidun, C. K.
- Journal of Fluid Mechanics, Vol. 743
Lattice Boltzmann simulation of solid particles suspended in fluid
journal, October 1995
- Aidun, Cyrus K.; Lu, Yannan
- Journal of Statistical Physics, Vol. 81, Issue 1-2
Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation
journal, October 1998
- Aidun, Cyrus K.; Lu, Yannan; Ding, E. -Jiang
- Journal of Fluid Mechanics, Vol. 373
On the motion and Brownian motion of n spheres in a viscous fluid
journal, January 1982
- Mazur, P.
- Physica A: Statistical Mechanics and its Applications, Vol. 110, Issue 1-2
Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation
journal, July 1994
- Ladd, Anthony J. C.
- Journal of Fluid Mechanics, Vol. 271
An immersed boundary method for Brownian dynamics simulation of polymers in complex geometries: Application to DNA flowing through a nanoslit with embedded nanopits
journal, January 2012
- Zhang, Yu; de Pablo, Juan J.; Graham, Michael D.
- The Journal of Chemical Physics, Vol. 136, Issue 1
Highly resolved pulsatile flows through prosthetic heart valves using the entropic lattice-Boltzmann method
journal, July 2014
- Yun, B. Min; Dasi, L. P.; Aidun, C. K.
- Journal of Fluid Mechanics, Vol. 754
Asymptotic analysis of the lattice Boltzmann equation
journal, December 2005
- Junk, Michael; Klar, Axel; Luo, Li-Shi
- Journal of Computational Physics, Vol. 210, Issue 2
Shear-Flow-Induced Unfolding of Polymeric Globules
journal, September 2006
- Alexander-Katz, A.; Schneider, M. F.; Schneider, S. W.
- Physical Review Letters, Vol. 97, Issue 13
A Note on the Generation of Random Normal Deviates
journal, June 1958
- Box, G. E. P.; Muller, Mervin E.
- The Annals of Mathematical Statistics, Vol. 29, Issue 2
Dynamics of hard-sphere suspensions
journal, July 1994
- Tokuyama, Michio; Oppenheim, Irwin
- Physical Review E, Vol. 50, Issue 1
Nanoparticle transport in cellular blood flow
journal, August 2018
- Liu, Zixiang; Zhu, Yuanzheng; Rao, Rekha R.
- Computers & Fluids, Vol. 172
Coupling the lattice-Boltzmann and spectrin-link methods for the direct numerical simulation of cellular blood flow
journal, February 2011
- Reasor, Daniel A.; Clausen, Jonathan R.; Aidun, Cyrus K.
- International Journal for Numerical Methods in Fluids, Vol. 68, Issue 6
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
journal, May 1954
- Bhatnagar, P. L.; Gross, E. P.; Krook, M.
- Physical Review, Vol. 94, Issue 3
von Willebrand factor, Jedi knight of the bloodstream
journal, August 2014
- Springer, Timothy A.
- Blood, Vol. 124, Issue 9
The fluctuation-dissipation theorem
journal, January 1966
- Kubo, R.
- Reports on Progress in Physics, Vol. 29, Issue 1
Dynamics of entangled linear polymer melts: A molecular‐dynamics simulation
journal, April 1990
- Kremer, Kurt; Grest, Gary S.
- The Journal of Chemical Physics, Vol. 92, Issue 8
Accelerated Stokesian Dynamics simulations
journal, November 2001
- Sierou, Asimina; Brady, John F.
- Journal of Fluid Mechanics, Vol. 448
Hydrodynamic transport coefficients of random dispersions of hard spheres
journal, September 1990
- Ladd, Anthony J. C.
- The Journal of Chemical Physics, Vol. 93, Issue 5
Internal Viscosity-Dependent Margination of Red Blood Cells in Microfluidic Channels
journal, April 2018
- Ahmed, Faisal; Mehrabadi, Marmar; Liu, Zixiang
- Journal of Biomechanical Engineering, Vol. 140, Issue 6
Multiple–relaxation–time lattice Boltzmann models in three dimensions
journal, March 2002
- d'Humières, Dominique
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 360, Issue 1792
Simulation of turbulent flows with the entropic multirelaxation time lattice Boltzmann method on body-fitted meshes
journal, June 2018
- Di Ilio, G.; Dorschner, B.; Bella, G.
- Journal of Fluid Mechanics, Vol. 849
Hydrodynamic correlations in the translocation of a biopolymer through a nanopore: Theory and multiscale simulations
journal, September 2008
- Fyta, Maria; Melchionna, Simone; Succi, Sauro
- Physical Review E, Vol. 78, Issue 3
Efficient lattice Boltzmann algorithm for Brownian suspensions
journal, June 2011
- Mynam, Mahesh; Sunthar, P.; Ansumali, Santosh
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 369, Issue 1944
Lattice-Boltzmann Simulations of Particle-Fluid Suspensions
journal, January 2001
- Ladd, A. J. C.; Verberg, R.
- Journal of Statistical Physics, Vol. 104, Issue 5/6, p. 1191-1251
Single Polymer Dynamics in an Elongational Flow
journal, June 1997
- Perkins, T. T.
- Science, Vol. 276, Issue 5321
The rheology and microstructure of concentrated non-colloidal suspensions of deformable capsules
journal, September 2011
- Clausen, Jonathan R.; Reasor, Daniel A.; Aidun, Cyrus K.
- Journal of Fluid Mechanics, Vol. 685
Self-Diffusion in Concentrated Colloid Suspensions Studied by Digital Video Microscopy of Core−Shell Tracer Particles
journal, September 1998
- Kasper, Andreas; Bartsch, Eckhard; Sillescu, Hans
- Langmuir, Vol. 14, Issue 18
Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice Boltzmann BGK model
journal, April 1997
- He, Xiaoyi; Zou, Qisu; Luo, Li-Shi
- Journal of Statistical Physics, Vol. 87, Issue 1-2
Brownian Motion of Small Particles Suspended in Liquids
journal, January 1981
- Russel, W. B.
- Annual Review of Fluid Mechanics, Vol. 13, Issue 1
Accelerated Stokesian dynamics: Brownian motion
journal, June 2003
- Banchio, Adolfo J.; Brady, John F.
- The Journal of Chemical Physics, Vol. 118, Issue 22
MUPHY: A parallel MUlti PHYsics/scale code for high performance bio-fluidic simulations
journal, September 2009
- Bernaschi, M.; Melchionna, S.; Succi, S.
- Computer Physics Communications, Vol. 180, Issue 9
Brownian dynamics with hydrodynamic interactions
journal, August 1978
- Ermak, Donald L.; McCammon, J. A.
- The Journal of Chemical Physics, Vol. 69, Issue 4
Brownian dynamics of polydisperse colloidal hard spheres: Equilibrium structures and random close packings
journal, December 1994
- Schaertl, W.; Sillescu, H.
- Journal of Statistical Physics, Vol. 77, Issue 5-6
Short-time motion of colloidal particles: Numerical simulation via a fluctuating lattice-Boltzmann equation
journal, March 1993
- Ladd, A. J. C.
- Physical Review Letters, Vol. 70, Issue 9
Interaction potentials for soft and hard ellipsoids
journal, April 2003
- Everaers, R.; Ejtehadi, M. R.
- Physical Review E, Vol. 67, Issue 4
Simulation of a single polymer chain in solution by combining lattice Boltzmann and molecular dynamics
journal, November 1999
- Ahlrichs, Patrick; Dünweg, Burkhard
- The Journal of Chemical Physics, Vol. 111, Issue 17
The rheology of dilute solutions of flexible polymers: Progress and problems
journal, January 2005
- Larson, Ronald G.
- Journal of Rheology, Vol. 49, Issue 1
A Theory of the Linear Viscoelastic Properties of Dilute Solutions of Coiling Polymers
journal, July 1953
- Rouse, Prince E.
- The Journal of Chemical Physics, Vol. 21, Issue 7
The London—van der Waals attraction between spherical particles
journal, October 1937
- Hamaker, H. C.
- Physica, Vol. 4, Issue 10
Structure, diffusion and rheology of Brownian suspensions by Stokesian Dynamics simulation
journal, March 2000
- Foss, David R.; Brady, John F.
- Journal of Fluid Mechanics, Vol. 407
Lubrication corrections for three-particle contribution to short-time self-diffusion coefficients in colloidal dispersions
journal, August 1999
- Cichocki, B.; Ekiel-Jeżewska, M. L.; Wajnryb, E.
- The Journal of Chemical Physics, Vol. 111, Issue 7
The computer study of transport processes under extreme conditions
journal, August 1972
- Lees, A. W.; Edwards, S. F.
- Journal of Physics C: Solid State Physics, Vol. 5, Issue 15
Rheological characterization of cellular blood in shear
journal, June 2013
- Reasor, D. A.; Clausen, J. R.; Aidun, C. K.
- Journal of Fluid Mechanics, Vol. 726
Simulating 3D deformable particle suspensions using lattice Boltzmann method with discrete external boundary force
journal, January 2009
- Wu, Jingshu; Aidun, Cyrus K.
- International Journal for Numerical Methods in Fluids
Brownian Dynamics simulation of hard-sphere colloidal dispersions
journal, May 2000
- Foss, David R.; Brady, John F.
- Journal of Rheology, Vol. 44, Issue 3
Thrombus Formation at High Shear Rates
journal, June 2017
- Casa, Lauren D. C.; Ku, David N.
- Annual Review of Biomedical Engineering, Vol. 19, Issue 1
Molecular dynamics simulation of a polymer chain in solution
journal, November 1993
- Dünweg, Burkhard; Kremer, Kurt
- The Journal of Chemical Physics, Vol. 99, Issue 9
Shear-induced unfolding triggers adhesion of von Willebrand factor fibers
journal, April 2007
- Schneider, S. W.; Nuschele, S.; Wixforth, A.
- Proceedings of the National Academy of Sciences, Vol. 104, Issue 19
Parallel performance of a lattice-Boltzmann/finite element cellular blood flow solver on the IBM Blue Gene/P architecture
journal, June 2010
- Clausen, Jonathan R.; Reasor, Daniel A.; Aidun, Cyrus K.
- Computer Physics Communications, Vol. 181, Issue 6
Fluctuating hydrodynamics and Brownian motion
journal, March 1973
- Hauge, E. H.; Martin-L�f, A.
- Journal of Statistical Physics, Vol. 7, Issue 3
Hydrodynamic effects in proteins
journal, December 2010
- Szymczak, Piotr; Cieplak, Marek
- Journal of Physics: Condensed Matter, Vol. 23, Issue 3
Gibbs' principle for the lattice-kinetic theory of fluid dynamics
journal, September 2014
- Karlin, I. V.; Bösch, F.; Chikatamarla, S. S.
- Physical Review E, Vol. 90, Issue 3
Dynamics of Polymer Molecules in Dilute Solution: Viscoelasticity, Flow Birefringence and Dielectric Loss
journal, February 1956
- Zimm, Bruno H.
- The Journal of Chemical Physics, Vol. 24, Issue 2
Lattice-Boltzmann Method for Complex Flows
journal, January 2010
- Aidun, Cyrus K.; Clausen, Jonathan R.
- Annual Review of Fluid Mechanics, Vol. 42, Issue 1