PROPERTIES OF PERCOLATING CLUSTERS ON FINITE LATTICES APPLIED TO MODEL FILTRATION PROCESSES

Authors
DECKMYN PHAM DAVIES GA BELL DJ
Citation
Pham. Deckmyn et al., PROPERTIES OF PERCOLATING CLUSTERS ON FINITE LATTICES APPLIED TO MODEL FILTRATION PROCESSES, Applied mathematical modelling, 19(5), 1995, pp. 258-269
Citations number
12
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science",Mathematics,Mechanics
Journal title
Applied mathematical modelling → ACNP
ISSN journal
0307904X
Volume
19
Issue
5
Year of publication
1995
Pages
258 - 269
Database
ISI
SICI code
0307-904X(1995)19:5<258:POPCOF>2.0.ZU;2-C
Abstract
Patterns formed by neighboring blocked and blinded (occupied) cells in a filtration process are the same as the clusters formed in a percola tion process. New criteria are discussed to detect for which occupatio n probability an infinitely long cluster occurs Programs have been wri tten that generate a Voronoi tessellation, create information for the cluster program of a regular triangular lattice, and produce clusters, calculating their fractal dimension.