Lattice Boltzmann Methods: Fundamentals and Applications, 2nd Edition

Special Issue Editors

Battery Materials & Systems Group, Energy and Environment Directorate, Pacific Northwest National Laboratory, Richland, WA 99352, USA
Interests: fluid dynamics; numerical method; electrochemistry; machine learning
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Guest Editor
Department of Mechanical Engineering, Embry‑Riddle Aeronautical University, Daytona Beach, FL 32114, USA
Interests: computational fluid dynamics; thermal management; discrete boltzmann method; numerical methods

Special Issue Information

Dear Colleagues,

Over the past two decades, the Lattice Boltzmann Method (LBM) has advanced rapidly and has been applied across a wide range of scientific and engineering domains. Owing to its kinetic foundation and algorithmic simplicity, LBM offers notable advantages, including excellent scalability on massively parallel architectures, robust handling of complex geometries, and effective modeling of multiphase flows. This Special Issue of Fluids is devoted to recent progress in LBM methodologies and applications. Topics of interest include, but are not limited to, parallel algorithms and high-performance implementations, graphics processing unit (GPU) acceleration, novel boundary-condition formulations, unstructured-mesh schemes, simulations of flows in complex geometries, and multiphase, multiphysics, and multiscale modeling.

Dr. Jie Bao
Dr. Leitao Chen
Guest Editors

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Keywords

  • high-performance computing
  • GPU acceleration
  • parallel computing
  • boundary condition treatments
  • unstructured meshes
  • complex geometries
  • multiphase flow
  • multiphysics coupling
  • multiscale modeling
 

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Related Special Issue

Published Papers (2 papers)

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Research

30 pages, 7651 KB  
Article
Boundary Conditions and Algorithms for 2D and 3D Lattice Boltzmann Simulations of Heterogeneous Reactions
by Claudius Stockinger, Antonio Raiolo, Ulrich Nieken, Abdellah Hadjadj and Mostafa Safdari Shadloo
Fluids 2026, 11(5), 115; https://doi.org/10.3390/fluids11050115 - 6 May 2026
Viewed by 200
Abstract
In this paper, the formulation and method of implementation of boundary conditions for heterogeneous reactions in porous media are elaborated. These are implemented into a previously validated lattice Boltzmann model for the simulation of heterogeneous reactions in porous media, extending it on multiple [...] Read more.
In this paper, the formulation and method of implementation of boundary conditions for heterogeneous reactions in porous media are elaborated. These are implemented into a previously validated lattice Boltzmann model for the simulation of heterogeneous reactions in porous media, extending it on multiple fronts. The formulation of the boundary conditions is validated thoroughly. The conversion of solid carbon to CO and CO2 is chosen as a specific case of application. An extensive parametric study is conducted with a specific geometry consisting of spherical substrate particles, coated with a reactive soot layer, to highlight the capability of the code. The code was able to capture the expected evolution of a combustion front and the influence of process parameters onto its propagation velocity. The propagation speed linearly increased with an increase in the reactant mass fraction and exponentially increased with Péclet number. Also, the CO/CO2 ratio obtained from experimental data could be reproduced with good accuracy. Furthermore, an algorithm for the correct evaluation of the specific surface is presented, which is necessary for evolving solid domains based on realistic geometries containing enclosed cavities. The method of implementation, computational overhead and acceleration technique are discussed. Finally, the model and all boundary conditions are extended to 3D and validated. Full article
(This article belongs to the Special Issue Lattice Boltzmann Methods: Fundamentals and Applications, 2nd Edition)
18 pages, 2616 KB  
Article
Pore-Scale Lattice Boltzmann Simulation of Blind-End Oil Retention
by Huiyu Wang, Yuegang Wang, Qi Lv, Guanghuan Wu and Lijie Liu
Fluids 2026, 11(2), 50; https://doi.org/10.3390/fluids11020050 - 12 Feb 2026
Viewed by 499
Abstract
Currently, a large number of simulation studies on multiphase flow at the pore scale are conducted based on complex porous media. As a microstructure that constitutes the porous media of reservoir, the blind-end can efficiently trap crude oil. However, the research on the [...] Read more.
Currently, a large number of simulation studies on multiphase flow at the pore scale are conducted based on complex porous media. As a microstructure that constitutes the porous media of reservoir, the blind-end can efficiently trap crude oil. However, the research on the multiphase flow within a blind-end is still lacking. In this paper, we used the color-gradient model to simulate the dynamic process that occurs when the oil–water interface passes through a blind-end based on the waterflooding. Furthermore, the effect of influencing factors on the oil in a blind-end (residual oil) after the oil–water interface passes the blind-end were investigated. The results show that the displacement of the water phase from a blind-end full of the oil phase can be categorized into three stages. First, the oil–water interface moves towards the blind-end. Second, when the oil–water interface reaches the blind-end, a portion the of toil phase in the blind-end can be displaced by the water phase. Third, after the oil–water interface passes through the blind-end, a portion of the oil phase (residual oil) is trapped in the blind-end. The residual oil saturation of a blind-end is defined as the ratio of the area of residual oil in a blind-end to the total area of a blind-end. The residual oil saturation in the blind-end increases with the increase in the water velocity, the oil-to-water viscosity ratio, the main channel width, and the blind-end depth. Conversely, it decreases with the increase in blind-end width. The findings provide critical insights into the oil retention mechanism in the blind-end. Full article
(This article belongs to the Special Issue Lattice Boltzmann Methods: Fundamentals and Applications, 2nd Edition)
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