Biased global random walk, a cellular automaton for diffusion

Abstract

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Authors

N. Suciu
Institute of Applied Mathematics, Martensstraße 3, Erlangen, Germany

C. Vamoş
Tiberiu Popoviciu” Institute of Numerical Analysis, Cluj Napoca, Romania

P. Knabner
Institute of Applied Mathematics, Martensstraße 3, Erlangen, Germany

U. Rüde
Department of System Simulation, Cauerstraße 6, Erlangen, Germany

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Cite this paper as

N. Suciu, C. Vamoş, P. Knabner, U. Rüde, Biased global random walk, a cellular automaton for diffusion, in Simulationstechnique, 18th Symposium in Erlangen, September 2005, Edited by F. Hülsemann, M. Kowarschik, U. Rüde, pp. 562–567, SCS Publishing House e. V., Erlangen, 2005.

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Simulationstechnique, 18th Symposium in Erlangen, September 2005.

Editors

F. Hülsemann, M. Kowarschik, U. Rüde

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[1] C. Vamos, N. Suciu, H. Vereecken: Generalized random walk algorithm for the numerical modeling of complex diffusion processes. Comp. Phys. 186(2) (2003), p. 527-544.
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[2] T. Karapiperis, B. Blankleider: Cellular automaton model of reaction-transport processes. Physica D 78 (1994), p. 30-64.
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[3] C.R. Doering, W. Horsthemke, J. Riordan: Nonequilibrium fluctuation-induced transport. Phys. Rev. Lett. 72(19) (1994), p. 2984-2987.
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[4] N. Suciu, C. Vamos¸, J. Vanderborght, H. Hardelauf, H. Vereecken: Numerical modeling of large scale transport of contaminant solutes using the global random walk algorithm. Monte Carlo Methods and Appl. 10(2) (2004), p. 155-179

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