Coupled cellular models for biolm growth and hydrodynamic o w in a pipe
Jens Eberhard, Yalchin R. Efendiev, Richard E. Ewing, A. B. Cunningham · 2005
In this paper we present a hybrid model for coupling of biolm growth and hydrodynamic o w in a pipe. A cellular automata model, which is a discrete model, is used to describe the growth of biolm. This stochastic discrete model is coupled with a continuum model of the uid o w in a pipe. The potential applications of the proposed model are the o w in drinking water pipe systems or in aquifers, where the porous media can be represented using pore-network models. The proposed model can be used to perform realistic upscaling of cellular automata models to the continuum scale. Numerical results and extensions of the proposed hybrid model are discussed in the paper.