Numerical modelling of the one-dimensional diffusion by random walkers

Abstract

In this paper we describe a numerical method of cellular automaton type to study the diffusion processes. The macroscopic diffusive behavior of a set of microscopic particles is obtained by the numerical simulation of particles motion as random walkers. We derive the averaging space-time scale needed for a macroscopical description of the diffusion process with a given precision. As an application we estimate the evacuation time by diffusion of a given number of particles from a fluid layer

Authors

C. Vamos
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

N. Suciu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

M. Peculea

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Cite this paper as:

C. Vamoş, N. Suciu, M. Peculea, Numerical modelling of the one-dimensional diffusion by random walkers, Rev. Anal. Numér. Théor. Approx., 26 (1997) nos. 1-2, 237-247

Print ISSN

1222-9024

Online ISSN

2457-8126

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