Summary
This article summarizes some of our main efforts performed on the computing facilities provided by the high performance computing centers in Stuttgart and Karlsruhe. At first, large scale lattice Boltzmann simulations are utilized to support resolution dependent analysis of geometrical and transport properties of a porous sandstone model. The second part of this report focuses on Brownian dynamics simulations of optical tweezer experiments where a large colloidal particle is dragged through a polymer solution and a colloidal crystal. The aim of these simulations is to improve our understanding of structuring effects, jamming behavior and defect formation in such colloidal systems.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
P.L. Bhatnagar, E.P. Gross, and M. Krook. Model for collision processes in gases. I. small amplitude processes in charged and neutral one-component systems. Phys. Rev., 94(3):511, 1954.
B. Biswal, P.E. Oren, R. Held, S. Bakke, and R. Hilfer. Stochastic multiscale model for carbonate rocks. Phys.Rev. E, 75:061303, 2007.
S. Chapman and T.G. Cowling. The mathematical theory of non-uniform gases. Cambridge University Press, second edition, 1952.
U. Frisch, D. d’Humiéres, B. Hasslacher, P. Lallemand, Y. Pomeau, and J.P. Rivet. Lattice gas hydrodynamics in two and three dimensions. Complex Systems, 1(4):649, 1987.
C. Gutsche, F. Kremer, M. Krüger, M. Rauscher, J. Harting, and R. Weeber. Colloids dragged through a polymer solution: experiment, theory and simulation. Submitted for publication, arXiv:0709.4142, 2007.
J. Harting, M. Harvey, J. Chin, M. Venturoli, and P.V. Coveney. Large-scale lattice Boltzmann simulations of complex fluids: advances through the advent of computational grids. Phil. Trans. R. Soc. Lond. A, 363:1895–1915, 2005.
2003. HDF5 – a general purpose library and file format for storing scientific data, http://hdf.ncsa.uiuc.edu/HDF5.
R. Hilfer. Transport and relaxation phenomena in porous media. Adv. Chem. Phys., XCII:299, 1996.
R. Hilfer. Local porosity theory and stochastic reconstruction for porous media. In K. Mecke and D. Stoyan, editors, Statistical Physics and Spatial Statistics, volume 554 of Lecture Notes in Physics, page 203, Berlin, 2000. Springer.
A.J.C. Ladd and R. Verberg. Lattice-boltzmann simulations of particle-fluid suspensions. J. Stat. Phys., 104(5):1191, 2001.
M. Rauscher, M. Krüger, A. Dominguez, and F. Penna. A dynamic density functional theory for particles in a flowing solvent. J. Chem. Phys., 127:244906, 2007.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Harting, J., Zauner, T., Weeber, R., Hilfer, R. (2009). Numerical Modeling of Fluid Flow in Porous Media and in Driven Colloidal Suspensions. In: Nagel, W.E., Kröner, D.B., Resch, M.M. (eds) High Performance Computing in Science and Engineering '08. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88303-6_25
Download citation
DOI: https://doi.org/10.1007/978-3-540-88303-6_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88301-2
Online ISBN: 978-3-540-88303-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)