This title appears in the Scientific Report : 2003 

Generalized random walk algorithm for the numerical modeling of complex diffusion processes
Vamos, C.
Suciu, N. / Vereecken, H.
Agrosphäre; ICG-IV
Journal of computational physics, 186 (2003) S. 527 - 544
Orlando, Fla. Academic Press 2003
527 - 544
10.1016/S0021-9991(03)00073-1
Journal Article
Chemie und Dynamik der Geo-Biosphäre
Journal of Computational Physics 186
J
Please use the identifier: http://dx.doi.org/10.1016/S0021-9991(03)00073-1 in citations.
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.