Numerical Investigation of Transport Processes in Porous Media under Laminar, Transitional and Turbulent Flow Conditions with the Lattice-Boltzmann Method

Tobit Flatscher, René Josef Prieler*, Christoph Hochenauer

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference paperpeer-review


In the present paper the mass transfer in porous media under laminar, transitional and turbulent flow conditions was investigated using the lattice-Boltzmann method (LBM). While previous studies have applied the LBM to species transport in complex geometries under laminar conditions, the main objective of this study was to demonstrate its applicability to turbulent internal flows including the transport of a scalar quantity. Thus, besides the resolved scalar transport, an additional turbulent diffusion coefficient was introduced to account for the subgrid-scale turbulent transport. A packed-bed of spheres and an adsorber geometry based on μCT scans were considered. While a two-relaxation time (TRT) model was applied to the laminar and transitional cases, the Bhatnagar-Gross-Krook (BGK) collision operator in conjunction with the Smagorinsky turbulence model was used for the turbulent flow regime. To validate the LBM results, simulations under the same conditions were carried out with ANSYS Fluent v19.2. It was found that the pressure drop over the height of the packed-bed were in close accordance to empirical correlations. Furthermore, the comparison of the calculated species concentrations for all flow regimes showed good agreement between the LBM and the results obtained with Ansys Fluent. Subsequently, the proposed extension of the Smagorinsky turbulence model seems to be able to predict the scalar transport under turbulent conditions.
Original languageEnglish
Title of host publicationComputational Science – ICCS 2021 - 21st International Conference, Proceedings
Subtitle of host publication21st International Conference, Krakow, Poland, June 16–18, 2021, Proceedings
EditorsMaciej Paszynski, Dieter Kranzlmüller, Valeria V. Krzhizhanovskaya, Jack J. Dongarra, Peter M. Sloot
PublisherSpringer Nature Switzerland AG
Number of pages14
ISBN (Electronic)978-3-030-77980-1
ISBN (Print)978-3-030-77979-5
Publication statusPublished - 2021
Event21st International Conference on Computational Science: ICCS 2021 - Virtuell, Poland
Duration: 16 Jun 202118 Jun 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12747 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference21st International Conference on Computational Science
Abbreviated titleICCS 2021
Internet address


  • Laminar flow
  • Lattice-Boltzmann method
  • Porous media
  • Turbulent flow
  • Turbulent relaxation time
  • Turbulent scalar transport

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Fields of Expertise

  • Sonstiges

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