Simulations of fluid flow in porous media by lattice-gas and lattice-Boltzmann methods

Research output: ThesisDissertationCollection of Articles

Abstract

Lattice-gas and lattice-Boltzmann methods can provide promising alternative approaches to traditional computational uid dynamics. The geometric versatility of these methods makes them very attractive for simulating many complex systems, such as uid ow in irregular geometries. Also, the inherent spatial locality of their updating rules makes these methods ideal for parallel computing. In this work, the basic ideas of these methods are first introduced. Then, many practical problems, such as boundary conditions, discretization errors, simulation time, and parallelization, are discussed, and a new efficient relaxation method, the Iterative Momentum Relaxation (IMR) method, is introduced. It is also shown that, with the Orthogonal Recursive Bisection (ORB) method, the performance of a parallel lattice-Boltzmann code can be signicantly improved. Finally, several results of lattice-gas and lattice-Boltzmann simulations of single-fluid flow in 2D and 3D porous media are discussed. Simulation results for the tortuosity, eective porosity and permeability of a 2D random porous medium
are reported. A modied Kozeny-Carman law is suggested, which includes the concept of ffective porosity. This law is found to fit well the simulated 2D permeabilities. The results for fluid flow through large 3D random fibre webs are also presented. The simulated permeabilities of these webs are found to be in good agreement with experimental data. The simulations also confirm that, for this kind of materials, permeability depends exponentially on porosity over a large porosity range.
Original languageEnglish
QualificationDoctor Degree
Awarding Institution
  • University of Jyväskylä
Supervisors/Advisors
  • Timonen, Jussi, Supervisor, External person
  • Kataja, Markku, Supervisor, External person
Publisher
Print ISBNs951-39-0219-6
Publication statusPublished - 1998
MoE publication typeG5 Doctoral dissertation (article)

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Porous materials
Flow of fluids
Porosity
Gases
Parallel processing systems
Large scale systems
Momentum
Boundary conditions
Geometry
Fibers

Cite this

@phdthesis{9c56f889c8f64a6f8ed5e3b0e5e5a87e,
title = "Simulations of fluid flow in porous media by lattice-gas and lattice-Boltzmann methods",
abstract = "Lattice-gas and lattice-Boltzmann methods can provide promising alternative approaches to traditional computational uid dynamics. The geometric versatility of these methods makes them very attractive for simulating many complex systems, such as uid ow in irregular geometries. Also, the inherent spatial locality of their updating rules makes these methods ideal for parallel computing. In this work, the basic ideas of these methods are first introduced. Then, many practical problems, such as boundary conditions, discretization errors, simulation time, and parallelization, are discussed, and a new efficient relaxation method, the Iterative Momentum Relaxation (IMR) method, is introduced. It is also shown that, with the Orthogonal Recursive Bisection (ORB) method, the performance of a parallel lattice-Boltzmann code can be signicantly improved. Finally, several results of lattice-gas and lattice-Boltzmann simulations of single-fluid flow in 2D and 3D porous media are discussed. Simulation results for the tortuosity, eective porosity and permeability of a 2D random porous mediumare reported. A modied Kozeny-Carman law is suggested, which includes the concept of ffective porosity. This law is found to fit well the simulated 2D permeabilities. The results for fluid flow through large 3D random fibre webs are also presented. The simulated permeabilities of these webs are found to be in good agreement with experimental data. The simulations also confirm that, for this kind of materials, permeability depends exponentially on porosity over a large porosity range.",
author = "Antti Koponen",
year = "1998",
language = "English",
isbn = "951-39-0219-6",
series = "University of Jyv{\"a}skyl{\"a}: Department of Physics. Research Report",
publisher = "University of Jyv{\"a}skyl{\"a}",
number = "5/1998",
address = "Finland",
school = "University of Jyv{\"a}skyl{\"a}",

}

Simulations of fluid flow in porous media by lattice-gas and lattice-Boltzmann methods. / Koponen, Antti.

University of Jyväskylä, 1998. 71 p.

Research output: ThesisDissertationCollection of Articles

TY - THES

T1 - Simulations of fluid flow in porous media by lattice-gas and lattice-Boltzmann methods

AU - Koponen, Antti

PY - 1998

Y1 - 1998

N2 - Lattice-gas and lattice-Boltzmann methods can provide promising alternative approaches to traditional computational uid dynamics. The geometric versatility of these methods makes them very attractive for simulating many complex systems, such as uid ow in irregular geometries. Also, the inherent spatial locality of their updating rules makes these methods ideal for parallel computing. In this work, the basic ideas of these methods are first introduced. Then, many practical problems, such as boundary conditions, discretization errors, simulation time, and parallelization, are discussed, and a new efficient relaxation method, the Iterative Momentum Relaxation (IMR) method, is introduced. It is also shown that, with the Orthogonal Recursive Bisection (ORB) method, the performance of a parallel lattice-Boltzmann code can be signicantly improved. Finally, several results of lattice-gas and lattice-Boltzmann simulations of single-fluid flow in 2D and 3D porous media are discussed. Simulation results for the tortuosity, eective porosity and permeability of a 2D random porous mediumare reported. A modied Kozeny-Carman law is suggested, which includes the concept of ffective porosity. This law is found to fit well the simulated 2D permeabilities. The results for fluid flow through large 3D random fibre webs are also presented. The simulated permeabilities of these webs are found to be in good agreement with experimental data. The simulations also confirm that, for this kind of materials, permeability depends exponentially on porosity over a large porosity range.

AB - Lattice-gas and lattice-Boltzmann methods can provide promising alternative approaches to traditional computational uid dynamics. The geometric versatility of these methods makes them very attractive for simulating many complex systems, such as uid ow in irregular geometries. Also, the inherent spatial locality of their updating rules makes these methods ideal for parallel computing. In this work, the basic ideas of these methods are first introduced. Then, many practical problems, such as boundary conditions, discretization errors, simulation time, and parallelization, are discussed, and a new efficient relaxation method, the Iterative Momentum Relaxation (IMR) method, is introduced. It is also shown that, with the Orthogonal Recursive Bisection (ORB) method, the performance of a parallel lattice-Boltzmann code can be signicantly improved. Finally, several results of lattice-gas and lattice-Boltzmann simulations of single-fluid flow in 2D and 3D porous media are discussed. Simulation results for the tortuosity, eective porosity and permeability of a 2D random porous mediumare reported. A modied Kozeny-Carman law is suggested, which includes the concept of ffective porosity. This law is found to fit well the simulated 2D permeabilities. The results for fluid flow through large 3D random fibre webs are also presented. The simulated permeabilities of these webs are found to be in good agreement with experimental data. The simulations also confirm that, for this kind of materials, permeability depends exponentially on porosity over a large porosity range.

M3 - Dissertation

SN - 951-39-0219-6

T3 - University of Jyväskylä: Department of Physics. Research Report

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