Abstract
This project focuses on the design, development, implementation and optimization of methods, algorithms and software for large scale simulations of free surface and multi-phase flows based on the generalized lattice Boltzmann method (GLBM). Parallel solvers and cache optimized algorithms have been developed to simulate multi-phase and turbulent transient flows in complex three-dimensional geometries. For the simulation of free surface problems where the fluid domain changes with time adaptive methods have been developed. The first subproject is concerned with the simulation of complex turbulent flows around building structures. The second subproject is concerned with the accurate and reliable prediction of transport of contaminants and nutrients in porous media (soils) on different scales (DFG-Project FIMOTUM, First principle based transport in unsaturated media). The third subproject is concerned with the simulation of free surface flows for different engineering applications.
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.M. Adler, F.F. Thovert, Real porous media: Local geometry and macroscopic properties. Appl. Mech. Rev. 51(9), 537–585 (1998)
P.M. Adler, J.-F. Thovert, S. Bekri, F. Yousefian, Real porous media: Local geometry and transports. J. Eng. Mech. 128(8), 829–839 (2002)
B. Ahrenholz, J. Tölke, M. Krafczyk, Lattice-Boltzmann simulations in reconstructed parametrized porous media. Int. J. Comput. Fluid Dyn. 20(6), 369–377 (2006)
B. Ahrenholz, J. Tölke, P. Lehmann, A. Peters, A. Kaestner, M. Krafczyk, W. Durner, Prediction of capillary hysteresis in porous material using lattice Boltzmann methods and comparison to experimental data and a morphological pore network model. Adv. Water Res. (2008 accepted for publication)
S. Bekri, P.M. Adler, Dispersion in multiphase flow through porous media. Int. J. Multiph. Flow 28, 665–697 (2002)
S. Bekri, J. Howard, J. Muller, P.M. Adler, Electrical resistivity index in multiphase flow through porous media. Transp. Porous Media 51(1), 41–65 (2003)
S. Bekri, O. Vizikab, J.-F. Thovert, P.M. Adler, Binary two-phase flow with phase change in porous media. Int. J. Multiph. Flow 27, 477–526 (2001)
D. d’Humières, I. Ginzburg, M. Krafczyk, P. Lallemand, L.-S. Luo, Multiple-relaxation-time lattice Boltzmann models in three-dimensions. Philos. Trans. R. Soc. A: Math. Phys. Eng. Sci. 360, 437–451 (2002)
S. Freudiger, J. Hegewald, M. Krafczyk, A parallelization concept for a multi-physics lattice Boltzmann prototype based on hierarchical grids. Prog. Comput. Fluid Dyn. (2007 in press)
U. Frisch, D. d’Humières, B. Hasslacher, P. Lallemand, Y. Pomeau, J.-P. Rivet, Lattice gas hydrodynamics in two and three dimensions. Complex Syst., 75–136 (1987)
S. Geller, M. Krafczyk, J. Tölke, S. Turek, J. Hron, Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows. Comput. Fluids 35, 888–897 (2006)
I. Ginzburg, D. d’Humières, Multireflection boundary conditions for lattice Boltzmann models. Phys. Rev. E 68, 066614 (2003)
I. Ginzburg, K. Steiner, Lattice Boltzmann model for free-surface flow and its application to filling process in casting. J. Comput. Phys. 185, 61–99 (2003)
I. Ginzburg, F. Verhaeghe, D. d’Humières, Two-relaxation-time lattice Boltzmann scheme: About parametrization, velocity, pressure and mixed boundary conditions. Commun. Comput. Phys. 3, 427–478 (2008)
D. Grunau, S. Chen, K. Eggert, A lattice Boltzmann model for multiphase fluid flows. Phys. Fluids 5(10), 2557–2562 (1993)
A.K. Gunstensen, D. Rothman, Lattice Boltzmann model of immiscible fluids. Phys. Rev. A 43(8), 4320–4327 (1991)
W. Haines, Studies in the physical properties of soils, V: The hysteresis effect in capillary properties, and the modes of moisture distribution associated therewith. J. Agric. Sci. 20, 97–116 (1930)
S. Hou, J. Sterling, S. Chen, G.D. Doolen, A lattice Boltzmann subgrid model for high Reynolds number flows. Fields Inst. Commun. 6, 151–166 (1996)
M. Junk, A. Klar, L.-S. Luo, Asymptotic analysis of the lattice Boltzmann equation. Phys. Rev. 210(2), 676–704 (2005)
C. Körner, M. Thies, T. Hofmann, N. Thürey, U. Rüde, Lattice Boltzmann model for free surface flow for modeling foaming. J. Stat. Phys. 121(1–2), 179–196 (2005)
M. Krafczyk, Gitter-Boltzmann Methoden: Von der Theorie zur Anwendung. Professorial thesis, Lehrstuhl Bauinformatik, TU München, 2001
M. Krafczyk, J. Tölke, L.-S. Luo, Large-eddy simulations with a multiple-relaxation-time LBE model. Int. J. Mod. Phys. B 17(1–2), 33–39 (2003)
P. Lallemand, L.-S. Luo, Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Rev. E 61(6), 6546–6562 (2000)
P. Lehmann, M. Berchtold, B. Ahrenholz, J. Tölke, A. Kaestner, M. Krafczyk, H. Flühler, H.R. Künsch, Impact of geometrical properties on permeability and fluid phase distribution in porous media. Adv. Water Res. (2008 accepted for publication)
P. Lehmann, M. Krafczyk, A. Gygi, A. Flisch, P. Wyss, H. Flühler, Modelling flow of water and air in reconstructed structures of porous media, in Proceedings of the 2nd World Congress on Industrial Tomography, Hannover (2001), pp. 628–635
P. Lehmann, F. Stauffer, C. Hinz, O. Dury, H. Flühler, Effect of hysteresis on water flow in sand column with a fluctuating capillary fringe. J. Contam. Hydrol. 33, 81–100 (1998)
P. Lehmann, P. Wyss, A. Flisch, E. Lehmann, P. Vontobel, M. Krafczyk, A. Kaestner, F. Beckmann, A. Gygi, H. Flühler, Tomographical imaging and mathematical description of porous media used for the prediction of fluid distribution. Vadose Zone J. 5, 80–97 (2006)
N. Martys, H. Chen, Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method. Phys. Rev. E 53, 743–750 (1996)
W.A. Moseley, V.K. Dhir, Capillary pressure-saturation relationship in porous media including the effect of wettability. J. Hydrol. 178, 33–53 (1996)
MPI-Forum. Message passing interface. http://www.mpi-forum.org (2006)
C. Pan, M. Hilpert, C.T. Miller, Lattice-Boltzmann simulation of two-phase flow in porous media. Water Res. Res. 40 (2004)
M. Pervaiz, M. Teixeira, Two equation turbulence modelling with the lattice Boltzmann method, in Proc. of 2nd International Symposium on Computational Technologies for Fluid Thermal Chemical Systems with Industrial Applications, ASME PVP Division Conference, Boston, 1999
Y.H. Qian, D. d’Humières, P. Lallemand, Lattice BGK models for Navier-Stokes equation. Europhys. Lett. 17, 479–484 (1992)
D.H. Rothmann, J.M. Keller, Immiscible cellular automaton fluids. J. Stat. Phys. 52, 1119–1127 (1988)
D. Russo, W.A. Jury, G.L. Butters, Numerical analysis of solute transport during transient irrigation, 1: The effect of hysteresis and profile heterogeneity. Water Resour. Res. 25, 2109–2118 (1989)
X. Shan, H. Chen, Lattice Boltzmann model for simulating flows with multiple phases and components. Phys. Rev. E 47, 1815–1819 (1993)
M.R. Swift, W.R. Osborn, J.M. Yeomans, Lattice Boltzmann simulation of nonideal fluids. Phys. Rev. Lett. 75(5), 830–833 (1995)
M. Teixeira, Incorporating turbulence models into the lattice-Boltzmann method. Int. J. Mod. Phys. C 9(8), 1159–1175 (1998)
J. Tölke, S. Freudiger, M. Krafczyk, An adaptive scheme for LBE multiphase flow simulations on hierarchical grids. Comput. Fluids 35, 820–830 (2006)
J. Tölke, M. Krafczyk, M. Schulz, E. Rank, Lattice Boltzmann simulations of binary fluid flow through porous media. Philos. Trans. R. Soc. A: Math. Phys. Eng. Sci. 360(1792), 535–545 (2002)
H.-J. Vogel, J. Tölke, V.P. Schulz, M. Krafczyk, K. Roth, Comparison of a lattice-Boltzmann model, a full-morphology model, and a pore network model for determining capillary pressure-saturation relationships. Vadose Zone J. 4(2), 380–388 (2005)
G. Wellein, T. Zeiser T, G. Hager, S. Donath, On the single processor performance of simple lattice Boltzmann kernels. Comput. Fluids 35(8–9), 910–919 (2006)
Z.L. Yang, T.N. Dinh, R.R. Nourgaliev, B.R. Sehgal, Evaluation of the Darcy’s law performance for two-fluid flow hydrodynamics in a particle debris bed using a lattice-Boltzmann model. Heat Mass Transf. 36, 295–304 (2000)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tölke, J., Ahrenholz, B., Hegewald, J., Krafczyk, M. (2009). Parallel Free-Surface and Multi-Phase Simulations in Complex Geometries Using Lattice Boltzmann Methods. In: Wagner, S., Steinmetz, M., Bode, A., Brehm, M. (eds) High Performance Computing in Science and Engineering, Garching/Munich 2007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69182-2_32
Download citation
DOI: https://doi.org/10.1007/978-3-540-69182-2_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69181-5
Online ISBN: 978-3-540-69182-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)