Numerical Simulation of Biofilm Formation in a Microchannel
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.
The work of DLM and FAR was partially supported by the Research Council of Norway through the projects IMMENS no. 255426 and CHI no. 255510. ISP was supported by the Research Foundation-Flanders (FWO) through the Odysseus programme (G0G1316N) and Statoil through the Akademia grant.
- 4.J. Donea et al., Arbitrary Lagrangian–Eulerian methods. Encycl. Comput. Mech. 1(14), 413–437 (2004)Google Scholar
- 8.D. Landa-Marbán et al., A pore-scale model for permeable biofilm: numerical simulations and laboratory experiments (2018, under review)Google Scholar
- 15.T.L. van Noorden et al., An upscaled model for biofilm growth in a thin strip. Water Resour. Res. 46, W06505 (2010)Google Scholar