Simulations of fluid flow in porous media by lattice-gas and lattice-Boltzmann methods
Lattice-gas and lattice-Boltzmann methods can provide promising alternative approaches to traditional computational fluid dynamics. The geometric versatility of these methods makes them very attractive for simulating many complex systems, such as fluid flow 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 significantly 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, effective porosity and permeability of a 2D random porous medium are reported. A modified Kozeny-Carman law is suggested, which includes the concept of effective 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. ...
- Artikkeli I: Koponen, A., Kandhai, D., Hellén, E., Alava, M., Hoekstra, A., Kataja, M., Niskanen, K, Sloot, P., and Timonen, J. (1998). Permeability of Three-Dimensional Random Fiber Webs. Physical Review Letters, 80, 716. DOI: 10.1103/PhysRevLett.80.716
- Artikkeli II: Koponen, A., Kataja, M. and Timonen, J. (1996). Tortuous flow in porous media. Physical Review E, 54, 406. DOI: 10.1103/PhysRevE.54.406
- Artikkeli III: Koponen, A., Kataja, M. and Timonen, J. (1997). Permeability and effective porosity of porous media. Physical Review E, 56, 3319. DOI: 10.1103/PhysRevE.56.3319
- Artikkeli IV: Kandhai, D., Koponen, A., Hoekstra, A. G., Kataja, M., Timonen, J. and Sloot, P. M. A. (1998). Lattice-Boltzmann hydrodynamics on parallel systems. Computer Physics Communications, 111(1–3), 14-26. DOI: 10.1016/S0010-4655(98)00025-3
- Artikkeli V: Kandhai, D., Koponen, A., Hoekstra, A., Kataja, M., Timonen, J. and Sloot, P. M. A. (1999). Implementation Aspects of 3D Lattice-BGK: Boundaries, Accuracy, and a New Fast Relaxation Method. Journal of Computational Physics, 150(2), 482-501. DOI: 10.1006/jcph.1999.6191
MetadataShow full item record
- Väitöskirjat 
Showing items with similar title or keywords.
Aaltosalmi, Urpo (University of Jyväskylä, 2005)
Hyväluoma, Jari (University of Jyväskylä, 2006)
Mattila, Keijo; Hegele, Luiz A.; Philippi, Paulo C. (American Physical Society, 2015)The lattice-Boltzmann (LB) method is commonly used for the simulation of fluid flows at the hydrodynamic level of description. Due to its kinetic theory origins, the standard LB schemes carry more degrees of freedom than ...
Riikilä, Timo (2012)In this thesis the basic properties of the lattice- Boltzmann method (LBM) are introduced. Also, a particle model used in combination with LBM is presented, and the combined model is then applied to ink propagation in ...
Computational modeling of protein diffusion in the cell nucleus using the lattice-Boltzmann method Filippovych, Kateryna (2012)The number of fluorescence applications and methods of analysis is growing in the biological and related sciences. The aim of this work was to accurately determine the diffusion coefficient in nucleus, diffusion in the ...