DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
ORCiD logo [1];  [2];  [3];  [3];  [3]; ORCiD logo [1]
  1. 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
  2. George W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta Georgia
  3. 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1002/fld.4752

Citation Metrics:
Cited by: 21 works
Citation information provided by
Web of Science

Save / Share:

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
  • DOI: 10.1063/1.5025349

Shear-induced self-diffusion in non-colloidal suspensions
journal, January 1999


Stokesian Dynamics
journal, January 1988


Numerical simulations of cell flow and trapping within microfluidic channels for stiffness based cell isolation
journal, March 2019


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
  • DOI: 10.1122/1.3690105

Self-diffusion in sheared suspensions by dynamic simulation
journal, December 1999


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
  • DOI: 10.1007/s40571-014-0007-6

Spectral Ewald Acceleration of Stokesian Dynamics for polydisperse suspensions
journal, February 2016


Nanoparticle diffusion in sheared cellular blood flow
journal, May 2019

  • Liu, Zixiang; Clausen, Jonathan R.; Rao, Rekha R.
  • Journal of Fluid Mechanics, Vol. 871
  • DOI: 10.1017/jfm.2019.320

The dynamics and scaling law for particles suspended in shear flow with inertia
journal, November 2000


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
  • DOI: 10.1063/1.474784

Discrete lattice effects on the forcing term in the lattice Boltzmann method
journal, April 2002


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
  • DOI: 10.1017/jfm.2014.54

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
  • DOI: 10.1007/BF02179967

Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation
journal, October 1998


On the motion and Brownian motion of n spheres in a viscous fluid
journal, January 1982


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
  • DOI: 10.1063/1.3672103

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
  • DOI: 10.1017/jfm.2014.393

Asymptotic analysis of the lattice Boltzmann equation
journal, December 2005


Shear-Flow-Induced Unfolding of Polymeric Globules
journal, September 2006


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
  • DOI: 10.1214/aoms/1177706645

Dynamics of hard-sphere suspensions
journal, July 1994


Nanoparticle transport in cellular blood flow
journal, August 2018


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
  • DOI: 10.1002/fld.2534

A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
journal, May 1954


von Willebrand factor, Jedi knight of the bloodstream
journal, August 2014


The fluctuation-dissipation theorem
journal, January 1966


The immersed boundary method
journal, January 2002


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
  • DOI: 10.1063/1.458541

Accelerated Stokesian Dynamics simulations
journal, November 2001


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
  • DOI: 10.1063/1.458830

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
  • DOI: 10.1115/1.4039897

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
  • DOI: 10.1098/rsta.2001.0955

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
  • DOI: 10.1017/jfm.2018.413

Hydrodynamic correlations in the translocation of a biopolymer through a nanopore: Theory and multiscale simulations
journal, September 2008


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
  • DOI: 10.1098/rsta.2011.0047

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
  • DOI: 10.1023/A:1010414013942

Single Polymer Dynamics in an Elongational Flow
journal, June 1997


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
  • DOI: 10.1017/jfm.2011.307

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
  • DOI: 10.1021/la971089y

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
  • DOI: 10.1007/BF02181482

Brownian Motion of Small Particles Suspended in Liquids
journal, January 1981


Accelerated Stokesian dynamics: Brownian motion
journal, June 2003

  • Banchio, Adolfo J.; Brady, John F.
  • The Journal of Chemical Physics, Vol. 118, Issue 22
  • DOI: 10.1063/1.1571819

MUPHY: A parallel MUlti PHYsics/scale code for high performance bio-fluidic simulations
journal, September 2009


Brownian dynamics with hydrodynamic interactions
journal, August 1978

  • Ermak, Donald L.; McCammon, J. A.
  • The Journal of Chemical Physics, Vol. 69, Issue 4
  • DOI: 10.1063/1.436761

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
  • DOI: 10.1007/BF02183148

Interaction potentials for soft and hard ellipsoids
journal, April 2003


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
  • DOI: 10.1063/1.480156

The rheology of dilute solutions of flexible polymers: Progress and problems
journal, January 2005


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
  • DOI: 10.1063/1.1699180

The London—van der Waals attraction between spherical particles
journal, October 1937


Structure, diffusion and rheology of Brownian suspensions by Stokesian Dynamics simulation
journal, March 2000


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
  • DOI: 10.1063/1.479605

The computer study of transport processes under extreme conditions
journal, August 1972


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
  • DOI: 10.1017/jfm.2013.229

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
  • DOI: 10.1002/fld.2043

Brownian Dynamics simulation of hard-sphere colloidal dispersions
journal, May 2000

  • Foss, David R.; Brady, John F.
  • Journal of Rheology, Vol. 44, Issue 3
  • DOI: 10.1122/1.551104

Thrombus Formation at High Shear Rates
journal, June 2017


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
  • DOI: 10.1063/1.465445

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
  • DOI: 10.1073/pnas.0608422104

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
  • DOI: 10.1016/j.cpc.2010.02.005

Fluctuating hydrodynamics and Brownian motion
journal, March 1973

  • Hauge, E. H.; Martin-L�f, A.
  • Journal of Statistical Physics, Vol. 7, Issue 3
  • DOI: 10.1007/BF01030307

Hydrodynamic effects in proteins
journal, December 2010


Gibbs' principle for the lattice-kinetic theory of fluid dynamics
journal, September 2014


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
  • DOI: 10.1063/1.1742462

Lattice-Boltzmann Method for Complex Flows
journal, January 2010