Journal Article PreJuSER-28609

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Generalized random walk algorithm for the numerical modeling of complex diffusion processes

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2003
Academic Press Orlando, Fla.

Journal of computational physics 186, 527 - 544 () [10.1016/S0021-9991(03)00073-1]

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Abstract: A generalized form of the random walk algorithm to simulate diffusion processes is introduced. Unlike the usual approach, at a given time all the particles from a grid node are simultaneously scattered using the Bernoulli repartition. This procedure saves memory and computing time and no restrictions are imposed for the maximum number of particles to be used in simulations. We prove that for simple diffusion the method generalizes the finite difference scheme and gives the same precision for large enough number of particles. As an example, simulations of diffusion in random velocity field are performed and the main features of the stochastic mathematical model are numerically tested. (C) 2003 Elsevier Science B.V. All rights reserved.

Keyword(s): J ; diffusion random walk (auto) ; groundwater (auto) ; contaminant transport (auto)


Note: Record converted from VDB: 12.11.2012

Contributing Institute(s):
  1. Agrosphäre (ICG-IV)
Research Program(s):
  1. Chemie und Dynamik der Geo-Biosphäre (U01)

Appears in the scientific report 2003
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 Record created 2012-11-13, last modified 2018-02-10



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