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International Journal for Multiscale Computational Engineering

 

ISSN for PRINT: 1543-1649

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$747.00

Issues per year:

6

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2005, Volume3

Issue 4

  145 pages  

DOI: 10.1615/IntJMultCompEng.v3.i4   

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  • Coupled Cellular Models for Biofilm Growth and Hydrodynamic Flow in a Pipe
  • J. P. Eberhard
    IWR, Simulation and Technology, University of Heidelberg, 69120 Heidelberg, Germany

    Y. Efendiev
    Institute for Scientific Computation and Department of Mathematics, Texas A&M University, College Station, TX 77843-3368

    R. Ewing
    Institute for Scientific Computation and Department of Mathematics, Texas A&M University, College Station, TX 77843-3368

    A. Cunningham
    Center for Biofilm Engineering, Montana State University, Bozeman, MT 59717-3980


    ABSTRACT

    In this paper, we present a hybrid model for coupling of biofilm growth and hydrodynamic flow in a pipe. A cellular automata model, which is a discrete model, is used to describe the growth of biofilm. This stochastic discrete model is coupled with a continuum model of the fluid flow in a pipe. The potential applications of the proposed model are the flow 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.

    DOI: 10.1615/IntJMultCompEng.v3.i4.70

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