Abstract
This paper presents an application of Cellular Automata in the field of dry Granular Systems modelling. While the study of granular systems is not a recent field, no efficient models exist, from a computational point of view, in classical methodologies. Some previous works showed that the use of Cellular Automata is suitable for the development of models that can be used in real time applications. This paper extends the existing Cellular Automata models in order to make them interactive. A model for the reaction to external forces and a pressure distribution model are presented and analyzed, with numerical examples and simulations.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Aradian, A., Raphael, E., de Gennes, P.G.: Surface flows of granular materials: a short introduction to some recent models. Comptes Rendus Physique 3, 187–196 (2002)
Chen, C.C., den Nijs, M.: Directed avalanche processes with underlaying interface dynamics. Physical Review E 66 (2002)
Prado, C., Olami, Z.: Inertia and break of self-organized criticality in sandpile cellular-automata models. Phys. Rev. A 45, 6665–6669 (1992)
Nerone, N., Gabbanelli, S.: Surface fluctuations and the inertia effect in sandpiles. Granular Matter 3, 117–120 (2001)
Müller, M., Charypar, D., Gross, M.: Procedural modeling and animation: Particle-based fluid simulation for interactive applications. In: ACM SIGGRAPH/Eurographics Symposium on Computer Animation, pp. 154–159 (2003)
Pla-Castells, M.: Nuevos modelos de sistemas granulares basados en autómatas celulares para simulación en tiempo real. MSc Thesis. Escuela Técnica Superior de Ingeniería, Universidad de Valencia (2003)
Pla-Castells, M., et al.: Approximation of Continuous Media Models for Granular Systems Using Cellular Automata. LNCS, pp. 230–237 (2004)
Bouchaud, J.P., Cates, M.E., Prakash, J.R., Edwards, S.F.: A Model for the Dynamics of Sandpile Surfaces. J. Phys. I France 4, 1383–1410 (1994)
Hadeler, K.P., Kuttler, C.: Dynamical models for granular matter. Granular Matter 2, 9–18 (1999)
Geng, J., Longhi, E., Behringer, R.P., Howell, D.W.: Memory in two-dimensional heap experiments. Physical Review E 64 (2001)
Liffman, K., Nguyen, M., Metcalfe, G., Cleary, P.: Forces in piles of granular material: an analytic and 3D DEM study. Granular matter 3, 165–176 (2001)
Snoeijer, J.H., van Hecke, M., Somfai, E., van Saarloos, W.: Force and weight distributions in granular media: Effects of contact geometry. Physical Review E 67 (2003)
Snoeijer, J.H., van Hecke, M., Somfai, E., van Saarloos, W.: Packing geometry and statistics of force networks in granular media. Physical Review E 70 (2004)
Stewart, D.E.: Rigid-body dynamics with friction and impact. SIAM Review 42(1), 3–39 (2000)
García-Fernández, I., Pla-Castells, M., Martínez, R.J.: New models for fast contact force computation. In: Industrial Simulation Conference, pp. 401–407 (2003)
Maciejewski, J., Jarzebowski, A.A.: Experimental analysis of soil deformation below a rolling rigid cylinder. Journal of Terramechanics 41, 223–241 (2004)
Fukami, K., et al.: Mathematical models for soil displacement under a rigid wheel. Journal of Terramechanics 43, 287–301 (2006)
Geng, J., et al.: Footprints in Sand: The Response of a Granular Material to Local Perturbations. Physical Review Letters 87 (2001)
Nouguier, C., Bohatier, C., Moreau, J.J., Radjai, F.: Force fluctuations in a pushed granular material. Granular matter 2, 171–178 (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Pla-Castells, M., García-Fernández, I., Martínez, R.J. (2006). Interactive Terrain Simulation and Force Distribution Models in Sand Piles. In: El Yacoubi, S., Chopard, B., Bandini, S. (eds) Cellular Automata. ACRI 2006. Lecture Notes in Computer Science, vol 4173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11861201_46
Download citation
DOI: https://doi.org/10.1007/11861201_46
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40929-8
Online ISBN: 978-3-540-40932-8
eBook Packages: Computer ScienceComputer Science (R0)