TY  - JOUR
AU  - Vamos, C.
AU  - Suciu, N.
AU  - Vereecken, H.
TI  - Generalized random walk algorithm for the numerical modeling of complex diffusion processes
JO  - Journal of computational physics
VL  - 186
SN  - 0021-9991
CY  - Orlando, Fla.
PB  - Academic Press
M1  - PreJuSER-28609
SP  - 527 - 544
PY  - 2003
N1  - Record converted from VDB: 12.11.2012
AB  - 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.
KW  - J (WoSType)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000182615000007
DO  - DOI:10.1016/S0021-9991(03)00073-1
UR  - https://juser.fz-juelich.de/record/28609
ER  -