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Computational time and domain size analysis of porous media flows using the lattice Boltzmann method

Espinoza-Andaluz, Mayken LU ; Andersson, Martin LU and Sundén, Bengt LU (2017) In Computers and Mathematics with Applications 74(1). p.26-34
Abstract

The purpose of this study is to investigate the computational time required to describe the fluid flow behavior through a porous medium and its relation to the corresponding domain size. The fluid flow behavior is recovered using the lattice Boltzmann method (LBM). The selected methodology has been applied because of its feasibility for mimicking the fluid flow behavior in complex geometries and moving boundaries. In this study, three different porosities are selected to calculate, for several sizes domain, the required computational time to reach the steady state. Two different cases are implemented: (1) increasing the transversal area, but keeping the layer thickness as a constant, and (2) increasing the total volume of the pore... (More)

The purpose of this study is to investigate the computational time required to describe the fluid flow behavior through a porous medium and its relation to the corresponding domain size. The fluid flow behavior is recovered using the lattice Boltzmann method (LBM). The selected methodology has been applied because of its feasibility for mimicking the fluid flow behavior in complex geometries and moving boundaries. In this study, three different porosities are selected to calculate, for several sizes domain, the required computational time to reach the steady state. Two different cases are implemented: (1) increasing the transversal area, but keeping the layer thickness as a constant, and (2) increasing the total volume of the pore domain by increasing all the dimensions of the volume equally. The porous media are digitally generated by placing the solid obstacles randomly, but uniformly distributed in the whole domain. Several relationships relating the computational time, domain size and porosity are proposed. Additionally, an expression that relates the hydraulic tortuosity to the porosity is proposed.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Computational time, Domain size, Hydraulic tortuosity, Lattice Boltzmann method, Porosity, Porous media
in
Computers and Mathematics with Applications
volume
74
issue
1
pages
26 - 34
publisher
Elsevier
external identifiers
  • scopus:85009352750
  • wos:000403633600003
ISSN
0898-1221
DOI
10.1016/j.camwa.2016.12.001
language
English
LU publication?
yes
id
1c5dc1f1-416a-4cee-9391-418313a8e331
date added to LUP
2017-01-25 16:11:24
date last changed
2018-04-29 04:35:23
@article{1c5dc1f1-416a-4cee-9391-418313a8e331,
  abstract     = {<p>The purpose of this study is to investigate the computational time required to describe the fluid flow behavior through a porous medium and its relation to the corresponding domain size. The fluid flow behavior is recovered using the lattice Boltzmann method (LBM). The selected methodology has been applied because of its feasibility for mimicking the fluid flow behavior in complex geometries and moving boundaries. In this study, three different porosities are selected to calculate, for several sizes domain, the required computational time to reach the steady state. Two different cases are implemented: (1) increasing the transversal area, but keeping the layer thickness as a constant, and (2) increasing the total volume of the pore domain by increasing all the dimensions of the volume equally. The porous media are digitally generated by placing the solid obstacles randomly, but uniformly distributed in the whole domain. Several relationships relating the computational time, domain size and porosity are proposed. Additionally, an expression that relates the hydraulic tortuosity to the porosity is proposed.</p>},
  author       = {Espinoza-Andaluz, Mayken and Andersson, Martin and Sundén, Bengt},
  issn         = {0898-1221},
  keyword      = {Computational time,Domain size,Hydraulic tortuosity,Lattice Boltzmann method,Porosity,Porous media},
  language     = {eng},
  number       = {1},
  pages        = {26--34},
  publisher    = {Elsevier},
  series       = {Computers and Mathematics with Applications},
  title        = {Computational time and domain size analysis of porous media flows using the lattice Boltzmann method},
  url          = {http://dx.doi.org/10.1016/j.camwa.2016.12.001},
  volume       = {74},
  year         = {2017},
}