Dresden 2011 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 40: Posters II
DY 40.9: Poster
Donnerstag, 17. März 2011, 17:00–19:00, P3
Quantitative analysis of numerical estimates for the permeability of porous media from lattice-Boltzmann simulations — •Thomas Zauner1 and Rudolf Hilfer1,2 — 1Institute for Computational Physics, University of Stuttgart, 70569 Stuttgart, Germany — 2Institute for Physics, University of Mainz, 55099 Mainz, Germany
A quantitative error assessment for numerically calculated permeabilities with different simulation setups, numerical approximations and different LB-implementations, such as single- and multirelaxation time schemes is carried out [1]. From the error analysis we derive an optimized simulation setup, efficient LB-implementations and appropriate numerical approximations. This simulation setup is used to calculate the permeability of a digitized Fontainebleau sandstone as a benchmark. The resulting permeabilities for this sample, a refined sample and the extrapolated results are compared to other numerical permeability measurements in the literature [2]. The presented work illustrates some pitfalls that can lead to unreliable numerical permeability calculations from LB simulations. Further, it shows that a resolution and relaxation time dependent analysis together with an extrapolation scheme is necessary when using LB simulations to calculate permeabilities of stochastic porous media.
[1] A. Narváez, T. Zauner, F. Raischel, R. Hilfer,
Journal of Statistical Mechanics, P11026, 2010.
[2] C. Manwart, U. Aaltosalmi, A. Koponen, R. Hilfer, J. Timonen,
Phys. Rev. E, 66(1):016702, 2002.