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Cited by 1,991Lattice Boltzmann Simulation StudiesComputational Fluid Dynamics and AerodynamicsFluid Dynamics and Turbulent Flows

The DOI matches its Crossref record; 223 of the 223 references it cites were found in a registry or an index.

Lattice-Boltzmann Method for Complex Flows

Aidun, Cyrus K., Clausen, Jonathan R.·2010·Annual Review of Fluid Mechanics
DOI 10.1146/annurev-fluid-121108-145519
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Abstract

With its roots in kinetic theory and the cellular automaton concept, the lattice-Boltzmann (LB) equation can be used to obtain continuum flow quantities from simple and local update rules based on particle interactions. The simplicity of formulation and its versatility explain the rapid expansion of the LB method to applications in complex and multiscale flows. We review many significant developments over the past decade with specific examples. Some of the most active developments include the entropic LB method and the application of the LB method to turbulent flow, multiphase flow, and deformable particle and fiber suspensions. Hybrid methods based on the combination of the Eulerian lattice with a Lagrangian grid system for the simulation of moving deformable boundaries show promise for more efficient applications to a broader class of problems. We also discuss higher-order boundary conditions and the simulation of microchannel flow with finite Knudsen number. Additionally, the remarkable scalability of the LB method for parallel processing is shown with examples. Teraflop simulations with the LB method are routine, and there is no doubt that this method will be one of the first candidates for petaflop computational fluid dynamics in the near future.

Overview

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Crossref · 10.1146/annurev-fluid-121108-145519

Cites

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Citations

Cites

Show all 223 references

Research works printed but not linked: 14

  1. Boltzmann L, 1872, Wien. Ber., 66, 275
  2. Clausen JR, 2009, Comput. Phys. Commun.
  3. Darrozes J, 1969, Rarefied Gas Dynamics, 1, 111
  4. Enskog D, 1917, Kinetische Theorie der Vorgäenge in mäessig verdüennten G
  5. Falcucci G, 2007, Commun. Comput. Phys., 2, 1071
  6. Frisch U, 1987, Complex Syst., 1, 649
  7. Grad H, 1958, Handb. Phys., 12, 205
  8. Hilbert D, 1912, Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen
  9. Hou S, 1996, Fields Inst. Commun., 6, 151
  10. Junk M, 2003, Asymptot. Anal., 35, 165
  11. Landau L, 1995, Fluid Mechanics
  12. Sone Y, 1969, Rarefied Gas Dynamics, 1, 243
  13. Sone Y, 1969, Rarefied Gas Dynamics, 2, 737
  14. Vahala G, 2008, Commun. Comput. Phys., 4, 624

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Metadata

Authors
Aidun, C. K., & Clausen, J. R.
Affiliations
Georgia Institute of Technology (US)
ORCID
Venue
Annual Review of Fluid Mechanics
Publisher
Annual Reviews
Published
2010-01-01
Volume
42
Issue
1
Pages
439-472
ISSN
  • 0066-4189 (ISSN-L)
  • 1545-4479
DOI
10.1146/annurev-fluid-121108-145519
OpenAlex
W2120900954
Cited by
1,991
References
223
Citations by year
2026: 110 · 2025: 104 · 2024: 103 · 2023: 97 · 2022: 109 · 2021: 119 · 2020: 145 · 2019: 135 · 2018: 169 · 2017: 181 · 2016: 161 · 2015: 147 · 2014: 136 · 2013: 111 · 2012: 77
FWCI
5.40
Type
journal article
Language
en
Open access
closed
Locations
Annual Review of Fluid Mechanics (publishedVersion)
Topics
  • Physical Sciences › Engineering › Computational Mechanics › Lattice Boltzmann Simulation Studies
  • Physical Sciences › Engineering › Computational Mechanics › Computational Fluid Dynamics and Aerodynamics
  • Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
Keywords
lattice Boltzmann method, entropic lattice Boltzmann method, turbulent flow simulation, multiphase flow, fiber suspensions, hybrid Eulerian-Lagrangian method, higher-order boundary conditions, microchannel flow, parallel scalability, multiscale flow, kinetic theory

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