The focus of this paper is the numerical solution of a mathematical model for the growth of a permeable biofilm in a microchannel. The model includes water flux inside the biofilm, different biofilm components, and shear stress on the biofilm-water interface. To solve the resulting highly coupled system of model equations, we propose a splitting algorithm. The Arbitrary Lagrangian Eulerian (ALE) method is used to track the biofilm-water interface. Numerical simulations are performed using physical parameters from the existing literature. Our computations show the effect of biofilm permeability on the nutrient transport and on its growth.
CITATION STYLE
Landa-Marbán, D., Pop, I. S., Kumar, K., & Radu, F. A. (2019). Numerical simulation of biofilm formation in a microchannel. In Lecture Notes in Computational Science and Engineering (Vol. 126, pp. 799–807). Springer Verlag. https://doi.org/10.1007/978-3-319-96415-7_75
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