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
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.
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“LBM is well-known for intuitive modeling, intrinsically parallelizable algorithms, the ability to address complex boundary conditions, and multiphysics models [39,40].”
From Comprehensive Computational Model for Coupled Fluid Flow, Mass Transfer, and Light Supply in Tubular Photobioreactors Equipped with Glass Sponges (2022) · cites this paper as [39]
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Items 201–223 of 223
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Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
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Inertial dilute particulate fluid flow simulations with an Euler–Euler lattice Boltzmann method
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Metadata
- Authors
- Aidun, C. K., & Clausen, J. R.
- Affiliations
- Georgia Institute of Technology (US)
- 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
- 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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