A Free-Surface Immersed-Boundary Lattice Boltzmann Method for Flows in Porous Media

  • Ayurzana BadarchEmail author
  • John D. Fenton
  • Hosoyamada Tokuzo
Conference paper
Part of the GeoPlanet: Earth and Planetary Sciences book series (GEPS)


The immersed-boundary Lattice Boltzmann method directly coupled with a free-surface flow treatment is introduced as an alternative numerical model for flows in porous media at the representative elementary volume scale. The liquid fraction values representing the presence of void in porous media are used as the modelled parameter which explicitly relates to the modelled permeability. The exact relation of the liquid fraction and the modelled permeability is examined by the analytical and numerical computations of flows through a U-tube with a porous zone. The proposed model with the modelled permeability relation and scaling of the permeability to the modelled permeability obtained provides good agreement with the analytical results convincing the extended applicability to flows in porous media. The model retains the inherent advantages for parallelization and the smooth treatment of a moving boundary.


Seepage flow Immersed boundary Free surface flow Lattice Boltzmann method 



The corresponding author would like to acknowledge the financial support by the Ernst Mach Grant—Eurasia-Pacific Uninet together with OeAD provided by the Austrian Federal Ministry of Education, Science and Research.


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Ayurzana Badarch
    • 1
    Email author
  • John D. Fenton
    • 1
  • Hosoyamada Tokuzo
    • 2
  1. 1.Institute of Hydraulic Engineering and Water Resources ManagementVienna University of TechnologyViennaAustria
  2. 2.Department of Civil and Environmental EngineeringNagaoka University of TechnologyNagaokaJapan

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