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Computational Geosciences

, Volume 20, Issue 4, pp 777–805 | Cite as

Multiphase lattice Boltzmann simulations for porous media applications

A review
  • Haihu Liu
  • Qinjun Kang
  • Christopher R. Leonardi
  • Sebastian Schmieschek
  • Ariel Narváez
  • Bruce D. Jones
  • John R. Williams
  • Albert J. Valocchi
  • Jens HartingEmail author
Open Access
ORIGINAL PAPER

Abstract

Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise quantification of the permeability of a porous sample, a number of extensions to the lattice Boltzmann method are available which allow to study multiphase and multicomponent flows on a pore scale level. In this article, we give an extensive overview on a number of these diffuse interface models and discuss their advantages and disadvantages. Furthermore, we shortly report on multiphase flows containing solid particles, as well as implementation details and optimization issues.

Keywords

Porous media Pore scale simulation Lattice Boltzmann method 

Mathematics Subject Classification (2010)

47.11.-j 91.60.Np 47.56.+r 

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© The Author(s) 2015

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  • Haihu Liu
    • 1
  • Qinjun Kang
    • 2
  • Christopher R. Leonardi
    • 3
    • 6
  • Sebastian Schmieschek
    • 4
    • 5
  • Ariel Narváez
    • 5
  • Bruce D. Jones
    • 6
  • John R. Williams
    • 6
  • Albert J. Valocchi
    • 7
    • 8
  • Jens Harting
    • 5
    • 9
    Email author
  1. 1.School of Energy and Power EngineeringXi’an Jiaotong UniversityXi’anChina
  2. 2.Earth and Environmental Sciences DivisionLos Alamos National LaboratoryLos AlamosUSA
  3. 3.School of Mechanical and Mining EngineeringThe University of QueenslandSt Lucia QLDAustralia
  4. 4.Centre for Computational Science, Department of ChemistryUniversity College LondonLondonUK
  5. 5.Department of Applied PhysicsEindhoven University of TechnologyEindhovenThe Netherlands
  6. 6.Department of Civil and Environmental EngineeringMassachusetts Institute of TechnologyCambridgeUSA
  7. 7.Department of Civil and Environmental EngineeringUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  8. 8.International Institute for Carbon Neutral Energy Research (WPI-I2CNER)Kyushu UniversityFukuokaJapan
  9. 9.Research Centre JuelichHelmholtz-Institute Erlangen-Nuremberg (IEK-11)NurembergGermany

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